A rectangle is drawn so that the width is 5 feet shorter than the length. The area of the rectangle is 6 square feet. Find the length of the rectangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

v1 v2

x1

- x2

Answer 2

Answer: 6, the answer is 6

Step-by-step explanation:


Related Questions

in words, define the random variable x. the adult's opinion regarding the super bowl the number of adults surveyed until one who watches the super bowl is found the number of adults who watch the super bowl the favorite team of the adult

Answers

The number of adults surveyed until one who watches the Super Bowl is found.

Given information,

Let's say that 42% of adults in America are likely to watch the Super Bowl. Everybody is seen as independent. We are curious about how many adults in America we will have to poll before we discover one who will watch the Super Bowl.

Given that we are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

Hence Random variable x is:

The number of adults surveyed until one who watches the Super Bowl is found.

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Pls help pls pls pls pls pls

Answers

Step 1: C (to simplify)
Step 2: A
Step 3: B

a linear function f models a relationship in which the dependant variable decreases 6 units for every 3 units the independant variable decreases. the value of the function at 0 is 4.graph the function.identify the slope, y intercept, and x intercept of the graph

Answers

The slope, y-intercept, and x-intercept of the graph of the linear function are 2, 4 and -2 respectively

How to graph the function and identify the slope, y-intercept, and x-intercept?

The general equation of a straight line is:

y = mx + c,

where m is the slope of the line and c is the y-intercept

Given that: the linear function f models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. This implies:

slope (m) = (-6)/(-3) = 2

And that the value of the function at 0 is 4. This implies:

y-intercept (c) = 4

Substitute m = 2 and c = 4 into the general equation:

y = mx + c

y = 2x + 4   (This is the linear function)

To plot the graph:

Using y = 2x + 4

find y when x = 0:

y = 2(0) + 4

y = 4

=> x = 0, y = 4

Also, find x when y = 0:

0 = 2x + 4

2x = -4

x = -4/2 = -2

=> x = -2, y = 0

Thus, graph x = 0, y = 4 and x = -2, y = 0 as shown in the image attached

Therefore, the slope, y-intercept, and x-intercept of the graph are 2, 4 and -2 respectively

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Which rule describes the composition of transformations
that maps figure ABCDE to figure A"B"C"D"E"?
O Rc².500 orm
OrRc.900
O R.1800 or
OrRc¹.180°

Answers

Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

Given that,

We have to find which rule best explains the arrangement of transformations that converts figure ABCDE into figure A"B"C"D"E.

The diagram is given in the image.

Figure ABCDE is changed to Figure A"B"C"D"E in the provided figure.

The reflected image of a figure travelling along a line is situated at the same angle from the line as the original figure.

To create the figure A'B'C'D'E', the figure ABCDE must first be mirrored through the line m. The x and y coordinates of a figure change position and the y sign is inverted when it is rotated by 180 degrees.

The figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

The final option, r m 0 Rc180°, is the correct one among all the others.

Therefore, Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

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what is the degree of the polynomial 3x4y3-3x2y-5x-7

Answers

Answer: it is B

Step-by-step explanation:

hope this helps!!

In exercie 13, uppoe grape cot $2. 35 per pound, orange cot $0. 99 per pound, and apple cot 1. 65 per pound. Rounding to the nearet whole number, about how much did Adrian pay for all the fruit?

Answers

Adrian pay $5.0 for all the fruits.

Given that grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

We want to find the total amount Adrian should pay for the fruits.

The given grapes cost is $2.35 per pound.

The given orange cost is $ 0.99 per pound.

The given apple cost is $1.65 per pound.

We will find the total cost of the fruits by adding all the amounts of the fruits.

So,

Total cost=Cost of grapes+ Cost of orange+ Cost of apple

Total cost=2.35+0.99+1.65

Total cost=4.99 or 5.0(approx)

Hence, the Adrian will pay $5.0 when the grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

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A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students?.

Answers

The required probability that the next 14 students to enroll should be an adult is 0.388.

Given that,
A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total students enroll = 18 adult + 18 other student
Total student enroll = 36 students,
Next studentes = 14 adult
Probability of next students to be adult = 14 / 36 = 0.388

Thus, the required probability that the next 14 students to enroll should be an adult is 0.388.

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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

An amount of $ 23,479.45 after a period of 5 years.

How to determine the final amount of the money deposited in an account

In this problem we find the case of an amount that increases itself by the effect of compound interest, that is, that the money deposited is increased accumulatively. The compound interest model is described below:

C' = C · (1 + r / 100)ⁿ

Where:

C - Initial amount, in monetary units. r - Interest rate, in percentage.C' - Final amount, in monetary units. n - Number of periods, in quarters.

Please notice that four quarters equals a year.

If we know that C = 13,000, r = 3 and n = 20, then the final amount of the money deposited in the account after a period of 5 years is:

C' = 13,000 · (1 + 3 / 100)²⁰

C' = 23,479.45


The final amount of the money deposited is $ 23,479.45.

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PLEASE HELP ME!!! it's due today! it's the last question i need but i don't get itttttttttt

Answers

Answer:

[tex]3x + 7y \geq 42[/tex]

Step-by-step explanation:

x = amount of naxvips sold

y = amount of corazs sold

We know that she will be charging 3 dollars per naxvips so we write 3x and we know that she will charging 7 dollars per corazs. Thus we add these 2 terms. She expects to make at least 42 dollars, this means will we use a greater or equal to inequality. We do this because she will make AT LEAST 42 dollars which means its possible for her to make GREATER than 42 dollars.

During the month of march, hazure services made purchases on account totaling $43,500. Also during the month of march, hazure was paid $8,000 by a customer for services to be provided in the future and paid $36,900 of cash on its accounts payable balance. If the balance in the accounts payable account at the beginning of march was $77,300, what is the balance in accounts payable at the end of march?.

Answers

The balance of Accounts Payable at the end of March is $83,900.

According to question;

Balance in the beginning Accounts payable account =$77,300

Add: Purchases made during the month on account  = $43,500                                                                          

Less: Cash already paid on account payable balance =$36,900

Balance at the end of march in Accounts payable  = $83,900

Therefore, balance left at the end of march is $83900.

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Jack's family spends $250 per month on rent. How much will they pay for the whole year?

Answers

Answer:

3000 dollars per year

Step-by-step explanation:

hope this helped :)

$3,000 per year

$250x12(each month)= $3,000 yearly

Find the value(s) of the unknown(s) in each of the following figures.

Answers

The value of c = 4.28 cm and the value of d = 30.3 cm

Consider the big triangle

The hypotenuse of the triangle = 39 cm

The base of the triangle = 25 cm

The vertical side = 7c

According to Pythagorean theorem

The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side

[tex]39^2=25^2+(7c)^2[/tex]

1521 = 625 + [tex]49c^2[/tex]

[tex]49c^2[/tex] = 1521 - 625

[tex]49c^2[/tex] = 896

[tex]c^2[/tex] = 896 / 49

[tex]c^2[/tex] = 128/7

c = 4.28 cm

Consider the small triangle

The vertical side = 4c

= 4 × 4.28

= 17.12 cm

[tex]d^2=25^2+17.12^2[/tex]

[tex]d^2[/tex] = 625 + 293.09

[tex]d^2[/tex] = 918.09

d = 30.3 cm

Hence, the value of c = 4.28 cm and the value of d = 30.3 cm

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Can someone pls help me and answer my questionnnn????

Answers

Area of the circle r^2 x pi :
12^2 x pi = 452.389

Area of the rectangle l x w:
3 x 10 = 30

Area of shaded region: 452.389 - 30 = 422.389 -> Answer: 422.39

BY SELLING AN ARTICLE FOR $10.80, A SHOPKEEPER MAKES A PROFIT OF 8%. WHAT SHOULD BE THE SELLING PRICE FOR A PROFIT OF 20%?

Answers

To make a profit of 20% the article should be sold for $12.1

How to calculate the new selling price

The new selling price will be solved by comparing the percentage increment with the old selling price

The selling price is $10.8 and the profit is 8%

The cost of the item is gotten from the profit percent as below

10.8 * 0.08 = 0.864 (profit)

cost price + profit = selling price

cost price = selling price - profit

cost price = 10.8 - 0.864

cost price = 9.936

comparing the percentages

8% profit is 0.864, 20% profit will be

8 = 0.864

20 = ?

cross multiplying

8 * ? = 20 * 0.864

? = 2.16

The new selling price

= cost price + profit

= 9.936 + 2.16

= 12.096 approximately $12.1

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In DEF, C is the centroid.
If DM=57, find DC and CM
DC=units

Answers

Answer:

DC = 38 ; CM = 19

Step-by-step explanation:

DC = 2/3 DM

DC = 2/3 * 57

DC = 2 * 19

DC = 38


CM = 57 - 38 = 19

Inverse Variation
f(x) varies inversely with x , and f(x) equals −8 f(x)=−8 when x equals 5 x=5 .
What is x when f(x) equals −20? f(x)=−20?

Answers

For given function when f(x) = -20 then x = 2

In this question, f(x) varies inversely with x

We have been given f(x) = -8 when x = 5

We need to find x when f(x) = -20

So, we get an equation,

-20/5 = -8/x

-4 = -8/x

x = (-8)/(-4)

x = 2

Therefore, for given function when f(x) = -20 then x = 2

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Write 12 1/3 as an improper fraction.

Answers

Answer:37/3

Step-by-step explanation:

the trick I always use is multiply your denominator by your whole number and add your numerator

In 2011, the national percent of low-income working families had an approximately normal distribution with a mean of 31.3% (The Working Poor Families Project, 2011). Although it has remained slow, some politicians now claim that the recovery from the Great Recession has been steady and noticeable. As a result, it is believed that the national percent of low-income working families was significantly lower in 2014 than it was in 2011. To support this belief, a spring 2014 sample of n=16 jurisdictions produced a sample mean of 29.8% for the percent of low income working families, with a sample standard deviation of 4.1%. Using a 0.05 significance level, test the claim that the national average percent of low-income working families has improved since 2011.

Answers

There is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean remains at 31.3, that is:

[tex]H_0: \mu = 31.3[/tex]

At the alternative hypothesis, it is tested if the mean has decreased, hence:

[tex]H_1: \mu < 31.3[/tex]

What is the critical value?

We have a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05 and 16 - 1 = 15 df.

The t-distribution is used, as we have the standard deviation only for the sample, hence, using a calculator, the critical value is of:

t = -1.75.

What is the test statistic?

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters of the equation are listed as follows:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In the context of this problem, the values of those parameters are:

[tex]\overline{x} = 29.8, \mu = 31.3, s = 4.1, n = 16[/tex]

Hence the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29.8 - 31.3}{\frac{4.1}{\sqrt{16}}}[/tex]

t = -1.46.

The test statistic is greater than the critical value for the left tailed test, hence the null hypothesis is not rejected, meaning that there is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

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Find two consecutive integers such that three more than twice the greater integer is the
same as three times the smaller integer.

Answers

2(N+1) +3=3N is the Equation.
2N +2+3=3N
2N+5=3N
-2N -2N
5=N
Answer 5&6

To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 54 numbers (1 through 54). The order in which the selection is made
does not matter. How many different selections are possible?
There are different LOTTO selections.

Answers

The number of different possible selections for the lottery is of:

25,872,165.

How to obtain the number of possible selections?

First we decide which formula is used, as follows:

Permutation formula -> order is not important.Combination formula -> order in important.

It is stated in this problem that the order of the numbers is not important, hence the combination formula is used.

The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 6 numbers are selected from a set of 54, hence the number of different combinations is of:

[tex]C_{54,6} = \frac{54!}{6!48!} = 25,872,165[/tex]

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Megha wanted to find 3 consecutive odd numbers that add up to 75. She wrote down the equation (x - 2) + x + (x + 2) = 75 and solved it to find the three numbers. Has she framed the equation correctly and why ?

Answers

Answer:

First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.

Write the following expanded form in
exponent form.
9.6.6.9.6.6

Answers

The expanded form of 966966 is 9x(100,000) + 6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1) which comprises operations on face values and place values.

What do we mean by expanded form?

The expanded form of a number is the representation of the number as summation of its digit multiplied by their respective place values.

For example, 783 in expanded form can be written as -

7x(100) + 8x(10) + 3x(1)

100, 10 and 1 are place values

7,8 and 3 are place values

According to the given data:

To write 966966 in expanded form

1. Write the number in standard form: 966,966

2. Multiply each digit with its place value.

9x(100,000)

6x(10,000)

6x(1,000)

9x(100)

6x(10)

6x(1)

3. Write the values in summation form to get the expanded form.

966,966 = 9x(100,000) +6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1).

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Write the rule for the transformation.

Answers

The rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

In this question, we can observe that

D(-3, 5) -> D(5, -3)

E(-3, 3) -> E'(3, -3)

F(1, 2) -> F'(2, 1)

This means, the coordinate (x, y) of preimage is transformed to (y, x)

This is nothing but reflection of triangle DEF about the line x = y

Therefore, the rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

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Tammy purchased 20.5 centimeters of wire for $16.40.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.

Answers

Answer:
Each cm of wire is $0.80

Explanation:
16.4/20.5=0.8

Answer:

$0.80

Step-by-step explanation:

Given:

20.5 cm wire costs $16.40.

To find the unit price in dollars per centimeter, divide the total amount by the number of centimeters:

[tex]\implies \dfrac{16.40}{20.5}=\dfrac{164}{205}=\dfrac{41 \times 4}{41 \times 5}=\dfrac{4}{5}=0.8[/tex]

Therefore, the unit price in dollars per centimeter is $0.80.


Alex is covering a bulletin board with blue contact paper. How much blue paper will she need to cover all AREA of of
the bulletin board that has Length 2.6 meters and width 1.2 meters.
Write numerical answer only (no units) Hint: A=LW
Pls show step by step on how to do it pls.

Answers

Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.

The rectangle's characteristics are listed below:

There are four vertices and four sides.Every vertex has an angle of 90 degrees.Equal and parallel sides are on the opposing sides.Intersect each other diagonallyThe perimeter is equal to double the length plus width of the object.the product of its length and breadth determines its area.It has four right angles and is a parallelogram.All interior angles added together equal 360 degrees.

Here, the length and width are different. So the bulletin board will be rectangle.

Given :

Length = 2.6 ; Width = 1.2

Area of rectangular bulletin board = Length * Width

= 2.6 * 1.2

= 3.12

Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.

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What is the absolute deviation at 2?.

Answers

It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.

What is median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

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write the equation of the parabola that has its x-intercepts at (-2 - 2,0) and (-2 2, 0) and passes through the point (-1, 1).

Answers

The equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a[tex]x^2[/tex]+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 ([tex]x^2[/tex]+4x)

Therefore the equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

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m^2− 5m − 14 = 0 wht is it

Answers

Answer:

Uhmmm You Didn't Say The Formula...

Tom is mailing packages. Each small package costs him $2.50 to send. Each large package costs him $3.10 . How much will it cost him to send 4 small packages and 1 large package?

Answers

Answer: $13.10

Step-by-step explanation: 4 small packages, 4*2.50 is $10. Add one large  package which is $3.10 and you'll have your answer, it costs $13.10.

Answer:

It will cost him $13.10 to send 4 small packages and 1 large package.

Step-by-step explanation:

1. Cost of sending 4 small packages = 4 * $2.5 = 4 * $2.50 = $10

2. Cost of sending 1 large package = 1 * 3.1 = $3.1

Total cost of sending 4 small and 1 large packages = $10 + $3.10 = $13.10

Unit 4, Lesson 8: Tax and Tip newste
8.1: Notice and Wonder: The Price of Sunglasses
You are on vacation and want to buy a pair of sunglasses for $10 or less. You
find a pair with a price tag of $10. The cashier says the total cost will be
$10.45.
1. The tax is what percent of the original price?
2. An item that costs $20 would have a tax of how much?
3. Ray Bans cost $852.00, how much would the total be after tax?

Answers

1. The tax percentage will be 4.5%.

2. An item that cost $20 would have a tax of $9.

3. Ray Bans cost $852.00, the total cost after tax would be $1,223.

Define percentage.

A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Percent is derived from the Latin word per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percentage sign, "%," is frequently used to denote it. An amount that is a percentage is dimensionless and has no assigned measurement.

Solution Explained:

Given here,

The original cost of the Sunglasses = $10

Total cost = $10.45

Tax amount = 10.45 - 10 = $0.45

1. Tax % = [tex]\frac{0.45}{10} X 100[/tex] = 4.5%

2. Using the tax percentage from (1),

Tax for an item that costs $20 is

= [tex]\frac{45}{100} X 20[/tex] = $9

3. Ray Bans cost = $852

Tax = [tex]\frac{45}{100} X 852[/tex] = $371.25

Total after-tax = 852 + 371.25 = $1,223

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