Answer: 5/2x-3
Step-by-step explanation: you would subtract 6 from both sides.
5x = 2y + 6
-6 -6
6-6=0 so they would cross out. and you can't subtract 5x from 6 because they aren't like terms. Your new equation would look like 5x-6 = 2y.
Now you need to get the y alone. To do that you need to divide everything by 2 so that the 2y crosses out. 5x-6 = 2y
-----------------
2 2 2
I'm trying to visually show it sorry if it looks weird. one you divide everything. (5/2) (-6/2) (2/2) you'll need to clean everything up.
Since you can't simply 5/2 leave it as a fraction. Which makes your answer: 5/2x - 3 = y or y = 5/2x - 3
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?
Rate of change of Panting A over a year period
2000Rate of change of Panting B over a year period
2500Painting B increases more quickly
How to find the rate of changeRate 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
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Which is the graph of f(x) = 100(0.772)
It is not possible to graph f(x) = 100(0.772) without additional information. A function needs at least two points to graph a line. The expression f(x) = 100(0.772) represents a constant value, not a function of x, so it cannot be graphed on its own.
Answer: knvsvvs
Step-by-step explanation:
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
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.
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What percent of Jemma's answers did she get incorrect?
If Jemma got 2 out of 20 questions wrong on her most recent math quiz, then the incorrect percent is 10% .
Total number of questions in the Math's quiz is = 20 ;
Number of incorrect questions done by Jemma is = 2 ;
Number of correct questions done by Jemma are = 18 ;
So , to find the percentage she got incorrect, we divide ; (number of incorrect answers) by (total number of questions) and then multiply by 100 ;
that means ⇒ (2/20) × 100 = 10% ;
Therefore, Jemma got 10% of the questions incorrect on her most recent math quiz.
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The given question is incomplete , the complete question is
If Jemma got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get incorrect ?
What number would correctly replace the G?
Answer:
40
Step-by-step explanation:
x is being multiplied by 8 to get y
so 5 x 8 = 40
PLEASE HURRY!! Which of the following statements are true regarding the graph of this linear function? Select all that apply.
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.
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If the water evaporates at the rate in a, for 12 hours, how many inches will evaporate?
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
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y =−4x−3 and y=−2x + 1
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.
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2500, 500, 100, ...
Find the next 3 terms of the geometric sequence.
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
Jack bought 5 pounds5 pounds5, start text, space, p, o, u, n, d, s, end text of Halloween candy. He gave out 3 pounds3 pounds3, start text, space, p, o, u, n, d, s, end text of the candy to trick or treaters and ate 10 ounces10 ounces10, start text, space, o, u, n, c, e, s, end text of the candy.
Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions.
It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be called as finding the difference.
Given that,
Total candies that Jack bought = 5 pounds
Candies given to trick or treaters = 3 pounds
Candies left = 5 - 3 = 2 pounds
Amount of candies ate = 10 ounces
16 ounces = 1 pound
10 ounce = 10 / 16 pounds = 0.625 pounds
Amount of candies ate in pounds = 0.625 pounds
Candies left = 2 - 0.625 = 1.375 pounds
Hence the amount of candies left is 1.375 pounds.
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Your question is incomplete. The complete question is given below.
Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?
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?
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 )
Work out 135% of 160
[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]
The table shows the travelling time to work for 50 people. Calculate an estimate of the mean travelling time.
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.
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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
PLEASE HELP 50POINTS!!!!!
Can you always use synthetic division for dividing polynomials?
Yes, we can use always the synthetic division for dividing polynomials since it is the easiest way in order to get the quotients of two polynomials.
Dividing Polynomials:We use the division of polynomials to find the quotients of two polynomials. Two polynomials can be divided by simply multiplying and dividing by the largest power in each term.
The two different ways to divide polynomials are 1. Long division method and 2. The synthetic division method. The synthetic division method is the quickest way to divide polynomials between these two approaches.
Advantages of performing a Synthetic Division:
Only if the divisor is a linear factor can we use the synthetic division approach. In contrast to the long division method, which uses division and subtraction, the synthetic division approach uses multiplication and addition. There are just a few calculations needed. There is no need for variables to do the calculation.This method is less prone to errors than the polynomial long division method.
Therefore,
We can say
Yes, we can use always the synthetic division for dividing polynomials since it is the easiest way in order to get the quotients of two polynomials.
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whay are mixed fractions
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.
jayden measured a pen to be 20 cm long the actual length of the pen is 20.8
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.
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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.
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 ResizingDilation 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).
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Identify the range of the function shown in the graph.
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.
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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?
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.
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Using the F’(x) Graph shown, find the Integral from 0 to 1 F’(x)dx if f(5) = -7.8, and f(0) = 3.
Answer:
[tex]-22.8[/tex]
Step-by-step explanation:
[tex]\int^{1}_{0} f'(x) \text{ } dx=f(1)-f(0)=f(1)-3 \\ \\ \\ B=\int^{5}_{1} f'(x) \text{ } dx=12 \implies f(5)-f(1)=12 \\ \\ -7.8-f(1)=12 \implies f(1)=-19.8 \\ \\ \therefore f(1)-3=-19.8-3=-22.8[/tex]
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?
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
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(x
Consider a sequence of transformations where
ALMN is translated (x, y) - (x - 3, y + 4),
reflected across the y-axis, and then reflected
across the x-axis.
Predict the effect of the second transformation.
The transformation of the triangle is the orientation changes and moves the triangle into Quadrant III
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the transformation of the triangle be represented as A
Now , the initial coordinates are ( x , y )
And , on transformation , we get ( x , y ) - ( x - 3 , y + 4 )
Now , the triangle is reflected across the y-axis
So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
And , its orientation has changed and it is now in Quadrant III.
Hence , the triangle is now in Quadrant III
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Help ASAP................................
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
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?
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
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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.
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.
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Use the Angle Addition Postulate to find x
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
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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
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%.
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Write the quadratic equation whose roots are 3 and -3 and whose leading coefficient is 1 (use the letter x to represent the variables)
The quadratic equation whose roots are 3 and -3 is x² - 9 = 0.
What is the quadratic equation whose roots are 3 and -3 and whose leading coefficient is 1?Given the roots of the quadratic equation;
x = 3 and x = -3
The two real distinct solutions for the quadratic equation are x = 3 and x = -3.
Which means x - 3 and x + 3 are the factors of the equation.
Hence;
( x - 3 )( x + 3 ) = 0
Now, expand using FOIL method
x( x + 3 ) - 3( x + 3 ) = 0
x² + 3x - 3x - 9 = 0
x² - 9 = 0
Therefore, the equation is x² - 9 = 0.
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Explain why the denominator 6 in 3/6 is not changed when adding fractions
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.
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There were 10 games work out the mean number of goals per game
Answer:
Step-by-step explanation:
Add all the number of goals and then divide by 10.