Find −23−(−12). Write your answer as a fraction or mixed number in simplest form

Answers

Answer 1

The simplest fraction form of an expression, (- 2/3) - (-1/2) is equals to the -1/6.

A fraction is a number that represents a part of whole. It is expressed as quoitent, in which numerator is divided by denominator. For ex : 3/4 is a fraction, where 3 is numerator and 4 is denominator. We have an expression, (- 2/3) - (-1/2). This expression is substraction of two rational number and both are negative rational numbers. Using sign law of multiplication: - × - = + , i.e., multiplation of two negative numbers result positive number.

=> - 2/3 + 1/2

Both fraction has different denominators. Write as least common multiple of 2 and 3, i.e., LCM(2,3)= 6

=> ( -2 × 2 + 3 )/6

Simplify the expression as possible

=> (- 4 + 3 )/6

=> - 1/6

This is the needed simplified fraction. Hence, The solution in simplest fraction is -1/6.

To learn more about fraction number, visit :

https://brainly.com/question/78672

#SPJ4


Related Questions

Select the correct answer. Newspaper Advertisement on Front Page ABC 89. 4% JKL 86. 3% PQR 80. 5% TUV 88. 7% XYZ 89. 1% Total 82. 4% The probabilities of different newspapers having an advertisement on the front page are given in the table. What is the chance of seeing an advertisement on the front page if the newspaper is JKL? A. 82. 4% B. 86. 3% C. 88. 7% D. Insufficient data

Answers

The chance of seeing an advertisement on the front page if the newspaper is JKL is 86.3%.

Probabilities:

In science, the probability of an event is a number representing the probability that an event will occur. It is expressed as a number ranging from 0 to 1, or as a number ranging from 0% to 100% using percentage display. The more likely an event is to happen, the more likely it is to happen. The probability of an impossible event is zero. The probability of an event that must happen is 1. The probabilities of two complementary events A and B (A or B) add up to 1.

A simple example is a fair (unbiased) coin toss. When the coin is fair, the two possible outcomes (heads and tails) are equally likely. Since the two outcomes are complementary and the probability of heads is equal to the probability of tails, the probability of each of the two outcomes is 1/2.

Therefore,

After looking at the table, the percentage that represents JKL and a front page advertisement is 86.3%.

Learn more about Chance :

https://brainly.com/question/20072595

#SPJ4

The redwood national park is home to some of the largest trees in the world hyperion is the tallest tree in the park with a heigt of approximately 379 feet tom wants to find the height of the tree in yards

Answers

Using the unit conversions, the height of the tree in yards is 126.33 yd

Let h be the height of the tree.

It is given that the Height of the tree is 379 feet and we need to find the height of the tree in yards.

From the given statement, Hyperion is the tallest tree in the park, with a height of approximately 379 feet,

We need to convert the height of the tree from feet to yards. So, We divide the height of the tree by three for the yard.

So, for one foot: h = (1/3) yd

For, 379 feet: h = 379/3 yd

                         = 126.33 yd

To learn more unit conversions here:

brainly.com/question/19420601

#SPJ4

Point A is located at (-2,-1) on the coordinate plane. Point A is reflected over the y-axis to create point A. What ordered pair describes the location of A?

Answers

Answer:

A' (2, - 1 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (- 2, 1 ) → A' (-(- 2), - 1) → A' (2, - 1 )

Simplify the following expression:

3x − 4y + z − 2z + x − y

2x − 6z
4x − 5y − z
4x − 3y − z
4x − 5y − 3z

Answers

Answer:

4x - 5y - z

Step-by-step explanation:

3x − 4y + z − 2z + x − y

Add like terms

= 4x - 5y - z

Answer: 4x-5y-z

Step-by-step explanation: 3x + x -4y-y -2z + z

It becomes a lot easier to simplify if you reorganize the equation so that the same variables are next to each other

Work out 135% of 160

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{135\% of 160}}{\left( \cfrac{135}{100} \right)160}\implies \text{\LARGE 216}[/tex]

Sloan is going to make a berry salad for a party.
Her salad will include only blueberries, raspberries, and strawberries. She wants the ratio of blueberries to strawberries to be 2:5, and the ratio of blueberries to all berries to be 4:23. How many of each type of berry can she put in the salad?

Answers

The number of each type of berry that she can put in her salad would include the following:

Blueberry = 4

Blueberry = 4Strawberry = 10

Blueberry = 4Strawberry = 10Raspberry = 13

How to calculate the quantity of berries in the salad?

The salad that was prepared by Sloan contains the following berries:

Ratio of Blueberry to strawberries = 2:5

The ratio of blueberry and others = 4:23

Therefore,

Since every 2 blueberry = 5 strawberry, 4 blueberry = 10 strawberry.

The quantity of raspberry = 23-10 = 13

Learn more about ratio here:

https://brainly.com/question/25927869

#SPJ1

PLEASE HURRY!! Which of the following statements are true regarding the graph of this linear function? Select all that apply.

Answers

By making linear equation for given graph, slope of line will be 9.75 which is the amount she makes in an hour i.e. E.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given she has a debt of $25 that will be y-intercept.

and as we can see from graph she earns $39 in 4 hours that means $9.75 in an hour which will be slope of line also, then the line will be represented as

y=9.75x-25  where x=hours worked and y=amount earned

hence,

         slope of line will be 9.75 which is the amount she makes in an hour.

To know about linear equations visit the link

https://brainly.com/question/29739212

#SPJ1

Help ASAP................................

Answers

Answer:

Step-by-step explanation:

Top problem:

A = πr² = (22/7)(21)² = 1386 ft²

Bottom problem:

r = D/2 = 20/2 = 10 in

A = (22/7)(10)² = 314 in²

A group of hikers walked from Hawk Mt. Shelter to Blood Mt. Shelter along the Appalachian Trail, a total distance of 20.5 mi. It took 2 days for the walk. On the second day, the hikers walked 4.1 mi less than they did on the first day. How far did they walk each day?

Answers

They walked 12.3 miles on first day and 8.2 miles on second day. The solution has been obtained by using linear equation.

What is a linear equation?

The linear equation with this degree of one is the largest. This shows that linear equations with exponents greater than one have no variables. Such an equation gives rise to a straight line on the graph.

We are given that a group of hikers walked from Hawk Mt. Shelter to Blood Mt. Shelter along the Appalachian Trail, a total distance of 20.5 mi which took them 2 days.

Let the distance traveled on first day be 'x'.

Since, on the second day, the hikers walked 4.1 mi less than they did on the first day so,

Distance traveled on second day = (x - 4.1)

From this, we get a linear equation as

⇒x + (x - 4.1) = 20.5

⇒2x - 4.1 = 20.5

⇒2x = 24.6

x = 12.3

So, (x - 4.1) = 12.3 - 4.1 = 8.2 miles

Hence, they walked 12.3 miles on first day and 8.2 miles on second day.

Learn more about linear equation from the given link

https://brainly.com/question/30092358

#SPJ1

y =−4x−3 and y=−2x + 1

Answers

The value of x and y is -2 and 5

What is Simultaneous equation?

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Using elimination method

y =−4x−3 equation 1

y=−2x + 1 equation 2

subtract equation 1 from 2

0 = 2x +4

collect like terms

2x = -4

x= -4/2

x = -2

substitute -2 for x in equation 1

y = -4(-2)-3

y = 8 -3

y = 5

therefore the value of x and y are -2 and 5 respectively.

learn more about Simultaneous equation from

https://brainly.com/question/16863577

#SPJ1

The table shows the travelling time to work for 50 people. Calculate an estimate of the mean travelling time.

Answers

With the help of given table of data of travelling time to work for 50 people, the estimated mean travelling time is 24.8 minutes.

To estimate the mean travelling time from the given frequency table, we can use the midpoint method, where we calculate the midpoint of each class interval and multiply it by the frequency of that interval. We then sum up the products and divide by the total frequency to get the estimate of the mean travelling time. The midpoint of each interval can be calculated as the average of the lower and upper bounds of the interval. Using this method, we get:

Class interval 0 < t < 10 | 10 < t < 20 |  20 < t < 30 | 30 < t < 40 |  40 < t < 50

Midpoint (m)    5                     15               25                 35                  45

Frequency (f)    5                    15               13                  10                   7

Midpoint x Frequency 25      225            325               350               315

Total | | 50 | 1240

To estimate the mean travelling time, we can now calculate the sum of the products of the midpoint and frequency for each interval, which is 1240. We then divide this by the total frequency, which is 50. Therefore, the estimate of the mean travelling time for these 50 people is: Mean  travelling time = Sum of (midpoint x frequency) / Total frequency

Mean travelling time = 1240 / 50 = 24.8

Thus, the estimated mean travelling time is 24.8 minutes.

To learn more about class interval click here

brainly.com/question/28183595

#SPJ4

Complete Question

The table shows the travelling time to work of 50 people.

-Travelling time (t)  in minutes- -Frequency-

0 <t<10                                           5

10 < t < 20                                     15  

20 < t < 30                                    13

30 < t < 40                                    10

40 < t < 50                                    7

Calculate an estimate of the mean travelling time

Explain why the denominator 6 in 3/6 is not changed when adding fractions

Answers

The denominator 6 in 3/6 is should not be changed when adding fractions if other fractions have a denominator of 6, to make the addition easy because 6 will be the lowest common multiple.

Why are denominators not changed when adding fractions?

One of the reasons why the denominator will always stay the same when adding fraction is because the size of the equal pieces does not change when you combine the two fractions together.

For example say you want to add 3/6 + 1/6 + 2/6,

you will notice that all the fractions have equal denominator, so adding the fractions together will have the following result.

3/6 + 1/6 + 2/6 = (3 + 1 + 2 ) / 6

= 6/6

= 1

So the 6 in 3/6 should not be changed if all other fractions you wish to add to 3/6 have 6 as their denominator, because the 6 is lowest common multiple.

Learn more about addition of fractions here: https://brainly.com/question/78672

#SPJ1

Determine whether the underlined number is a statistic or a parameter. A sample of employees is selected and it is found that 45% own a television. a. Statistic because the value is a numerical measurement describing a characteristic of a population. b. Parameter because the value is a numerical measurement describing a characteristic of a sample. c. Statistic because the value is a numerical measurement describing a characteristic of a sample. d. Parameter because the value is a numerical measurement describing a characteristic of a population.

Answers

The answer is c. Statistic because the value is a numerical measurement describing a characteristic of a sample.

A statistic is a value that summarizes a characteristic of a sample. In this case, the percentage of employees in the sample who own a television (45%) is a statistic because it summarizes a characteristic of the sample of employees that was selected. A parameter, on the other hand, is a value that summarizes a characteristic of a population. For example, if we were to consider the percentage of all employees in the company who own a television, then the mean or median percentage of television ownership would be a parameter because it would describe a characteristic of the entire population of employees. In summary, statistics are values that describe a characteristic of a sample, while parameters are values that describe a characteristic of a population.

To learn more about Statistic click here

brainly.com/question/14318705

#SPJ4

You have $700 to buy a new carpet for you bedroom write an inequality that represents the cost c per 14 squares for your new carpet

Answers

The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:

The inequality is c ≤ 50.

Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:

c/14 ≤ 700

This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.

To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.

Since we have a budget of $700, we can write the inequality:

14x ≤ 700

This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:

x ≤ 50

This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.

To learn more about inequality Click here:

brainly.com/question/30231190

#SPJ4

What number would correctly replace the G?

Answers

Answer:

40

Step-by-step explanation:

x is being multiplied by 8 to get y

so 5 x 8 = 40

jayden measured a pen to be 20 cm long the actual length of the pen is 20.8

Answers

What is the percent error in Jayden's measure?

The percent error in a measure is given by the formula:

P = 100%*|real value - measure|/real value

Here we know that:

real value = 20.8 cm

measure = 20cm

Replacing that in the formula we will get:

P = 100%*|20.8 cm - 20cm|/20.8cm = 3.8%

That is the percent error.

Learn more about percent error at:

https://brainly.com/question/5493941

#SPJ1

Complete question:

Jayden measured a pen to be 20 cm long the actual length of the pen is 20.8 cm, then what is the percentage error?.

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 5.

Answers

With dilation at center (0,0) and a scale factor of 5, the coordinates as we can see from given graph are Q(-3,4), R(-2,-1), T(3,1), W(3,5).

What exactly is dilation?

Dilation is the process of modifying the size of an item or form by reducing or expanding its dimensions according to specific scaling variables. A circle of radius 10 unit, for example, is reduced to a circle with radius 5 unit. This approach is utilised in photography, arts and crafts, and the creation of logos, among other things. There are four primary types of transformations in geometry. They are as follows:

RotationTranslationReflectionDilation or Resizing  

Dilation Properties

Some characteristics of forms that stay constant during dilation changes are:

The figure's angles are all the same.The midpoints of the figure's sides stay the same as the midpoint of the dilated form.The figure's parallel and perpendicular lines stay the same as the dilated figure's parallel and perpendicular lines.The visuals stay unchanged.

Now,

As we can see from properties that the image does not change in dilation it stays same and angles are also same.

So, we can see coordinates from the given graph

hence,

         the coordinates as we can see from given graph are Q(-3,4), R(-2,-1), T(3,1), W(3,5).

To know more about dilation visit the link

https://brainly.com/question/13176891?referrer=searchResults

#SPJ1

PLEASE HELP ME AS SOON AS POSSIBLE!!
A university purchased two different paintings in one year. The value of Painting A over time is modeled by f(x)=30,000(1.068)^x. The value of Painting B is represented by the graph at the right. Find the average rate of change of the value of each artwork over a ​-year time period. Which art​ work's value is increasing more​ quickly?

Answers

Rate of change of Panting A over a year period

2000

Rate of change of Panting B over a year period

2500

Painting B increases more quickly

How to find the rate of change

Rate of change of Panting A over a year period, using the function f(x)=30,000(1.068)^x

at x = 0, f(x) = 30,000

at x = 1, f(x) = 32,040

rate of change = (30 000 - 32 000) / (0 - 1) = -2000 / -1 = 2000

Rate of change of painting B over a year period

= (25 - 27.5) * 1000 / (0 - 1)

= -2.5 * 1000 / -1

= 2500

Learn more about rate of change at:

https://brainly.com/question/25184007

#SPJ1

Identify the range of the function shown in the graph.

Answers

Range of the function shown by the graph is (-∞ , ∞)

What is range?

Range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest.

The range is the set of possible output values, which are shown on the

y -axis.

Given,

Graph of a function,

Range represents the y-coordinate of the function.

By the graph,

Range of the function is -∞ < y < ∞.

In interval notation,

Range = (-∞ , ∞)

Hence, (-∞ , ∞) is the range of the function shown by the graph.

Learn more about range here:

https://brainly.com/question/28135761

#SPJ9

If the water evaporates at the rate in a, for 12 hours, how many inches will evaporate?

Answers

On solving the provided question, we cans ay that inches will evaporate, the equation will be = 12x = 1/2y + 7.43

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

he water evaporates at the rate in a, for 12 hours.

inches will evaporate,

the equation will be = 12x = 1/2y + 7.43

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

A gardener made a scale drawing of a lawn with a scale factor of 1:15. The dimensions of his drawing are 6 inches long by 3 inches wide. his partner plans to make another scale drawing of the lawn, but with a scale factor of 1:5. What are the dimensions of his scale drawing?

A. The length is 1 inch and the width is 2 inch

B. The length is 2 inch and the width is 1 inch

C. The length is 9 inch and the width is 18 inch

D. The length is 18 inch and the width is 9 inch

Answers

D. The length is 18 inches and the width is 9 inch

What is a scale factor?

A scale factor resembles a unit scale in several ways. It is a ratio that assesses the relationship between scale and real dimensions. Because it doesn't provide any specified units, it differs.

It is given that the scale factor of the gardener is 1:15.

The dimensions of his drawing are 6 inches long by 3 inches wide.

Therefore the original dimensions are 6*15= 90 inches.

3*15= 45 inches.

The scale of his partner is 1:5.

So, we have to divide the original dimensions by 5.

The dimensions of the scale drawing are 90/5= 18 inches long

45/5=9 inches wide.

Therefore length is 18 inches and the width is 9 inches.

To learn more about scale factor, refer to the link below:

brainly.com/question/29967135

#SPJ1

What is the weight of a 35. 99-carat diamond in grams and ounces? (1 carat=0. 2 g)

Answers

The 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).

We can use the conversion factor of 1 carat = 0.2 g to convert carats to grams.

Diamond weight in grams: 35.99 carats x 0.2 g/carat = 7.198 g (rounded to three decimal places)

We can use the conversion factor of 1 ounce = 28.3495 g to convert the weight in grams to ounces.

Diamond weight in ounces: 7.198 g / 28.3495 g/o z = 0.254 o z (rounded to three decimal places)

Carats are now commonly used to measure the weight of gemstones, including diamonds, and are abbreviated as "ct." A 1-carat diamond, for example, weighs 0.2 grams while a 2-carat diamond weighs 0.4 grams.

As a result, the 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).

To learn more about weight

https://brainly.com/question/1235091

#SPJ4

Which of the following is the correct order when multiplying 2 binomials

A. First, outer, inner, last
B. Inner, first, last, outer
C. Last, inner, outer, first
D. Outer, last, first, inner

Answers

Answer:

A. First, outer, inner, last.

Step-by-step explanation:

3.162 corrected to a 2 significant figure

Answers

Answer:   3.2

Explanation:

The left-most digits are more significant than digits on the right.

For example, in the very large number 1,234,567 the "1" and "2" are more important than the "6" and "7". We focus on the more important digits when rounding. This would mean 1,234,567 rounds to 1,200,000 = 1.2 million = 1.2*10^6

Going back to 3.162, we have "3" and "1" as the left-most digits. We'll bump 3.1 up to 3.2 because of the digit 6 fits the criteria of "5 or larger".

Put another way: 3.162 is closer to 3.2 than it is to 3.1

This is why 3.2 is the final answer.

Use the Angle Addition Postulate to find x

Answers

The value of x by using the addition postulate of an acute angle is 36.

What are acute angles?

Acute angles are those between 0 and 90 degrees, and those angles are less than 90 degrees. When two rays intersect at a vertex, an angle is created.

An acute angle is one that is smaller than 90 degrees in length and has all internal angles that are less than 90 degrees.

Here, we have an acute angle NCQ that is 70 degrees. Using the addition postulate to determine the value of x, we have:

x + 34 = 70

x = 70 + (-34)

x = 70 - 34

x = 36

Learn more about acute angles here:

https://brainly.com/question/30420195

#SPJ1

a poll is given, showing 61% are in favor of a new building project. let x be the number of people who favor the new building project when 25 people are chosen at random. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 16 people out of 25 favor the new building project? what is the probability that at least 16 people out of 25 favor the new building project? what is the probability that at most 16 people out of 25 favor the new building project? what is the probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project?

Answers

The probability that exactly 16 people out of 25 favor the new building project is 0.1285.

The probability that at most 16 people out of 25 favor the new building project is 0.3528.

The probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project is 0.9088.

A binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has two possible outcomes (success or failure) and the trials are independent.

The distribution of x, the number of people who favor the new building project when 25 people are chosen at random, can be modeled using a binomial distribution.

In this case, the probability of success (favoring the new building project) is 0.61, and the probability of failure (not favoring the project) is 0.39. The number of trials is 25, since we are choosing 25 people at random.

Thus, we can write x ~ Bin(25, 0.61), which means that x follows a binomial distribution with 25 trials and a probability of success of 0.61.

To find the probability that exactly 16 people out of 25 favor the new building project, we can use the binomial probability formula:

[tex]P(X = k) = (^n_k) * p^k * (1 - p)^{n - k}[/tex]

where X is the random variable (in this case, the number of people who favor the project), k is the number of successes we are interested in (in this case, 16), n is the number of trials (25), p is the probability of success (0.61), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.

Plugging in the values, we get:

P(X = 16) = (25 choose 16) * 0.61¹⁶ * 0.39⁹ = 0.1285

Therefore, the probability that exactly 16 people out of 25 favor the new building project is 0.1285.

To find the probability that at least 16 people out of 25 favor the new building project, we need to add up the probabilities of all the events where the number of successes is 16 or greater. We can do this using the cumulative distribution function (CDF) of the binomial distribution, which gives us the probability of X being less than or equal to a certain value.

Using a calculator or a table, we can find that P(X ≥ 16) = 0.3528.

Therefore, the probability that at least 16 people out of 25 favor the new building project is 0.3528.

To find the probability that at most 16 people out of 25 favor the new building project, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring). In this case, the complement event is the number of people who favor the project being greater than 16.

Using the same CDF, we can find that P(X > 16) = 0.6472. Therefore,

P(X ≤ 16) = 1 - P(X > 16) = 1 - 0.6472 = 0.3528

We can do this using the binomial probability formula for each possible value of k, and then summing the results.

P(12 ≤ X ≤ 19) = P(X = 12) + P(X = 13) + ... + P(X = 19)

Using a calculator or a table, we can find the probabilities for each value of k, and then add them up:

P(12 ≤ X ≤ 19) = 0.0309 + 0.0746 + 0.1322 + 0.1821 + 0.2001 + 0.1821 + 0.1322 + 0.0746 = 0.9088

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

2500, 500, 100, ...
Find the next 3 terms of the geometric sequence.​

Answers

PLEASE GIVE BRAINLIEST!

have a good day ;)

Answer:

2500,500,100, 20, 4, 0.8

Step-by-step explanation:

dividing by 5 every term.

2500/ 5 = 500

500/ 5 = 100

100/ 5 = 20

20/5 = 4

4/5 = 0.8

Number 4: Would the product change if 30 and 5 on the left side of the area model were changed to 20, 10, and 5? Explain.

Answers

No, if the figures on the left side of the area model were changed to 20, 10, and 5, the product would retain the same.

Area model multiplication is what?

The area model approach is based on the straightforward equation that may be used to calculate the area of a rectangle: LxW=A. As this anchor chart from Primary Punch illustrates, students typically begin by learning basic arrays for one-digit multiplication. When we multiply each digit of one number by each digit of another number while maintaining the place value of each digit, the resulting numbers are called partial products.

According to the supplied query,

30 and 5 on the left side of the area model are altered to 20,10, and 5 

Thus, after multiplying partial products, we obtain:

First row = 20×100+20×20+8×20

               = 2000+400+160 = 2560

Second row = 10×100+10×20+10×8

                     = 1000+200+80 = 1280

Third row = 5×100+5×20+5×8

                = 500+100+40 = 640

Adding all the rows we get,

2560+1280+640 = 4480

The item we receive when the dimensions are 30 and 5 is the same as this. In each instance, the area product stays the same.

To know more about area model multiplication visit:

https://brainly.com/question/13895622

#SPJ1

a 12-ft-by-15-gt rectangular swimming pool has a 3-ft-wide no-slip surface around it. what is the outer preimeter of the no-slip surfaec

Answers

If a 12-ft-by-15-gt rectangular swimming pool has a 3-ft-wide no-slip surface around it. The outer perimeter of the no-slip surface around the rectangular swimming pool is 78 feet.

The key idea in this problem is to recognize that the no-slip surface around the pool consists of a rectangular strip of uniform width that runs parallel to the edges of the pool. To find the outer perimeter of this strip, we need to add up the lengths of all four sides of the rectangle formed by the outermost edges of the no-slip surface.

Let's start by finding the length of the no-slip surface that runs along the length of the pool. Since the pool is 12 feet long and the no-slip surface extends 3 feet beyond each end of the pool, the total length of the no-slip surface is:

12 + 2(3) = 18 feet

The "2(3)" term in this equation represents the 3-foot-wide extension on each end of the pool. Next, we need to find the length of the no-slip surface that runs along the width of the pool. Since the pool is 15 feet wide and the no-slip surface extends 3 feet beyond each side of the pool, the total width of the no-slip surface is:

15 + 2(3) = 21 feet

Now we have the lengths of the two parallel sides of the rectangle formed by the outermost edges of the no-slip surface. To find the lengths of the other two sides, we simply add up the lengths of the corresponding sides of the pool.

Therefore, the length of the rectangle is 12 + 2(3) = 18 feet, and the width of the rectangle is 15 + 2(3) = 21 feet.

Finally, we can add up the lengths of all four sides of the rectangle to find the outer perimeter of the no-slip surface:

2(18) + 2(21) = 36 + 42 = 78 feet.

To learn more about perimeter click on,

https://brainly.com/question/28944979

#SPJ4

whay are mixed fractions​

Answers

Answer:

hope this helps!! <3

Step-by-step explanation:

A fraction is represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Other Questions
a double-stranded dna oligonucleotide and a double-stranded rna oligonucleotide of identical sequence (substituting u for t) are both present in an aqueous solution near neutral ph. apart from the presence of u in rna versus t in dna, how will their helical structures differ? Molar mass of Cu(NO)2 = . what keyboard shortcut clears content for selected cells? true or false: all of the accounts listed on an unadjusted trial balance are also listed on the balance sheet. Transcription is similar to DNA replication, in that:a. an RNA transcript is synthesized discontinuously, and the pieces are then joined togetherb. it uses the exact enzyme as that used to synthesize RNA primers during DNA replicationc. the newly-synthesized RNA remains paired to the template DNA nucleotided. polymerization occurs only in the 5'-to-3' direction Write an abbreviation for the following: Here are the names of four mountains in Alaska and their heights in feet. Write an abbreviation to remember these four mountains in order from the highest elevation to the lowest elevation. Foraker 17,400 Churchill 15,638 McKinley 20,320 Kennedy 16,286 how does henry georges proposal for a single tax on land relate to the elasticity of the supply of land? why are there so few remaining advocates of georges proposal? Write the quadratic equation whose roots are 3 and -3 and whose leading coefficient is 1 (use the letter x to represent the variables) on what scale is the explosivity of a volcano measured? At December 31, Hawke Company reports the following results for its calendar year.Cash sales $ 160,000Credit Sales $ 400,000In addition, its unadjusted trial balance includes the following items.Accounts receivable $ 120,000 debitAllowance for doubtful accounts $ 1,400 debitBad debts are estimated to be 2% of credit sales. Show how Accounts Receivable and the Allowance for Doubtful Accounts appearon its December 31 balance sheet.Current Assets:Accounts receivable $120,000Less: Allowance for doubtful accounts $??? why is it logical to observe that wind-pollinated species usually grow in dense stands containing many individuals of the same species? true or false: a change in one of the determinants of supply results in a movement along the supply curve. Why does eliezers hospital neighbor refuses to be fooled, and what does he say that is sarcastic? he feels that nazis will kill all the jews before allowing them to be liberated. What were the writers of the constitution trying to ensure based on the language of the 10th amendment ? If WXYZ is a square with WZ = 27, find each measure.a) ZY = ________ d) mWRZ = ________b) WY = ________ e) mXYZ = ________c) RX = ________ f) mZWY = ________ hat is the marginal product of the fourth tattoo artist? marginal product: tattoostattoos which of the following best describes the economic reasoning behind the fact that the marginal physical product of labor declines as more labor is employed, with other inputs held constant? the tattoo shop is experiencing increasing returns because its total tattoo output increases each time a new worker is hired. monster's ink is experiencing negative returns because hiring the third worker increases tattoo output less than hiring the fourth worker. there is no rational reason for tattoo output to change as it does. monster's ink is experiencing diminishing returns, possibly caused by three workers getting in each other's way and needing to share tools (after sanitization, of course). What is an argument the text presents against buying local fruits and vegetables? What was the difference between indentured servitude and racial chattel slavery in Colonial America? Which evidence from the "Space Junk!" best supports the idea that the amount of space junk will increase?Question 15 options:"In our modern world, we have become more and more dependent on satellites to help us with many things.""The weight could swing around and basically knock debris out of orbit.""Still, these measures do not solve the problem of what to do about space junk. ""The more we rely on advanced technology, the more likely it is that we will send additional satellites into space." journal entries prepared at the end of the accounting cycle which reduce revenue, expense and drawing accounts to a zero balance are called entries: