2. Last week, Abe's carpet store sold 160 square feet of a particular carpet for $878.40. Bob's carpet store sold 85 square feet of the same carpet for $466.65

a. Is Cost proportional to area for this carpet? Show all relevant calculations and then explain your conclusion in a full sentence.


b. Answer ONE of the questions below depending on whether or not cost is proportional to area for this carpet

if cost is proportional to area, what is the cost of 118 square feet of carpet? Show your work. Use dimensional analysis

if cost is not proportional to area, which store has the better unit price for carpet explain your choice.

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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In the scenario above, the best method to use is A by the Addition of a chemical reagent to the pond to neutralize the pesticide. This chemical reagent removes the pesticide at the rate of 11 gal/hr.

Pesticides can be removed from ponds water via chemical reagent through Chemical degradation and other ways.

Note that the first option is useful as the Addition of a chemical reagent to the pond to neutralize the pesticide because there are lot of chemical against that can eat up other chemicals that are harmful to the pond.

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The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

3/21 most simplest form is 1/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

Additional comment

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

-32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

In the given question, a 5 foot person walks at 40 feet per minute on a level path toward a vertical wall.

A light on the ground directly behind the person casts a shadow of the person on the wall.

The light is loo feet from the wall.

We have to find how fast the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall.

From the diagram given below;

dx/dt = 40 feet/min

y/100 = 5/x

Multiply by 100 on both side, we get;

y = (5×100)/x

y = (500)/x

dy/dt = -500/x^2(dx/dt)

Now putting the value of dx/dt

dy/dt = -500/x^2 *40

dy/dt = -20000/x^2

from the diagram given below, x = 75 feet

Now putting the value of x

dy/dt = -20000/(75)^2

dy/dt = -32/9 feet/min

Hence, -32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

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The computation of the future value is $92,691.08

As we know that

Future value = Present value × (1 + interest rate)^number of years

where, the Present value is $24275

The Interest rate is 4.05%

And, the number of the year is 10 years

Now placing these values to the above formula;

So, the future value is;

Future value = Present value × (1 + interest rate)^number of years

= $24275× (1 + 0.0405)^10

= $24275× 1.448298166

= $92,691.08

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Range is the measure of variability which is not dependent on the exact value of each score.

In terms of variability, range is independent of the exact value of each score, and in terms of central tendency, median is the measure that is independent of the exact values of each score.

What is a range?

Range is basically the difference of the highest and the lowest value of a series. The range has nothing to do with the exact value of each score. It just considers the highest and the lowest values of any given class for its calculation.

Range= highest value- Lowest value

That is the reason, why, Range is the independent measure of variability.

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Answer:

Probability I would asume.

Step-by-step explanation:

Probability definition: the extent to which something is probable; the likelihood of something happening or being the case.

Answer:

it's 4

Step-by-step explanation:

it's 4 because you times

Answer:

36

Step-by-step explanation:

Simple:

(4)(3)+2((5)(3)−2)−2

=12+2((5)(3)−2)−2

=12+2(15−2)−2

=12+(2)(13)−2

=12+26−2

=38−2

=36

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer

Yes, zero is contained in the interval

Answer:

start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.

Step-by-step explanation:

Answer:

Where is the options

Step-by-step explanation:

Answer: sorry where's the pic?

Step-by-step

Answer:

1. zero

2. seven over eight

3. one over three

4. one

5. one over two

PLEASE GIVE BRAINLYIST!!

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

200 is a composite number;

Given

The circumference of a circle

The scale factor used to create the image is given as follows:

k = 1/4.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The equivalent segment lengths for the original figure and the image are given as follows:

Hence the scale factor used to create the image is given as follows:

k = 2/8

k = 1/4.

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The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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Answer:

70 percent

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

you take the number of students who drive Divide by the number of high school students.

Answer: Im pretty sure it should be 10 (Unless you are multiplying, then it would be 16.)

Step-by-step explanation: Start by adding a + 3 (a = 5) Which is 8. If you are multiplying, it will be 2 x 8 = 16, if it is adding, it will be 10 (2 + 8 = 10)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

hope it helps! :)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

21.5625

Step-by-step explanation:

So You would divide 258.75 / 12 = 26.5625

The radius of container is 2.6 inch.

The amount of space occupied by a three dimensional figure as measured in cubic units.

\(volume of cylinder= \pi r^{2} h\)

where,

r is the radius

h is the height

According to the given question

shape of the container is cylindrical.

Height of the container, h = 12 inches

Volume of container = 258.75 cubic inches

for the radius of the container

volume of container = \(\pi r^{2}h\)

258.75 = 3.14×\(r^{2}\)×12

258.75 =37.68×\(r^{2}\)

\(\frac{258.75}{37.68} =r^{2}\)

\(6.9=r^{2}\)

⇒ \(r = \sqrt{6.9} =2.62inch\) = 2.6 inch

Hence, the radius of container is 2.6 inch.

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