Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

Answer:

Find the number of students in each van and in each bus?

13 students can fit in van and 45 students can fit in bus

There were 13 students in each van and 45 students in each bus for both High School A and High School B.

Let's assume that the number of students in each van is "v" and the number of students in each bus is "b".

From the information given, we can form the following equations:

Equation 1: 4v + 2b = 142 (High School A)

Equation 2: 2v + 4b = 206 (High School B)

We can start by multiplying Equation 1 by 2 and Equation 2 by 4 to eliminate the "b" variable:

2 * Equation 1: 8v + 4b = 284

4 * Equation 2: 8v + 16b = 824

Now, we subtract Equation 1 from Equation 2:

(8v + 16b) - (8v + 4b) = 824 - 284

12b = 540

b = 540 / 12

b = 45

Substitute the value of "b" back into Equation 1:

4v + 2(45) = 142

4v + 90 = 142

4v = 142 - 90

4v = 52

v = 52 / 4

v = 13

Therefore, there were 13 students in each van and 45 students in each bus for both High School A and High School B.

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Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

To calculate Ms. Andrew's new monthly salary, we need to add 17% of her current salary to her current salary:

New salary = Current salary + 17% of current salary

New salary = $4,225 + 0.17($4,225)

New salary = $4,225 + $717.25

New salary = $4,942.25

Therefore, Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.

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Answer:

Dimensions that minimize is; 20 ft x 100 ft

Step-by-step explanation:

Let the width and length be x and y respectively.

We are given area as 2000 Sq.ft.

Thus;

xy = 2000 - - - (eq 1)

We are told that the brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Thus;

C(x) = 20x + 4y

From eq(1),y = 2000/x

Thus;

C(x) = 20x + 4(2000/x)

C(x) = 20x + 8000/x

To minimize this, we will differentiate and equate to 0.

Thus;

C'(x) = 20 - 8000/x²

Equating to zeeo;

20 - 8000/x² = 0

20 = 8000/x²

20x² = 8000

Divide both sides by 20;

x² = 8000/20

x² = 400

x = √400

x = 20 ft

Putting 20 for x in eq 1,we have;

20y = 2000

y = 2000/20

y = 100 ft

Answer:

The slopes of the line segments are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

Step-by-step explanation:

Plato simple answer

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Dilation if, is from the center of the rectangle, then distance of all the points of the rectangle from its center will get scaled by that dilation factor.

Slope:

We know that the slope is the ratio of change in y-value and change in x-value.

So, after dilation

m---->m

Length of line:

The length of line =x

so, it's length will become nx.

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

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Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

Answer:

it's a c e actually......

The true statements about 15 ≥ 22 + x are

x ≤ -7, the graph has a closed circle and -7 is part of the solution.

The inequality is given as

15 ≥ 22 + x

Subtract 22 from both sides

-7 ≥ x

Rewrite as:

x ≤ -7

The ≤ implies that the solution is a closed circle, and the other true statement is: (e) -7 is part of the solution.

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Answer:

14

Step-by-step explanation:

The division of the number 198 by 12 is approximately 17.

A mathematical process known as division can be used to divide a sum of money into equal parts or to calculate how many times one number can be found inside another.

A quotient is produced as a result of dividing a dividend (the number being divided) by a divisor (the number by which the dividend is divided).

To estimate the division of 168 by 12, we can use rounding to simplify the calculation.

Round the numbers to a more manageable value. In this case, we can round 168 to 170 and 12 to 10.

Divide the rounded numbers. 170 divided by 10 is equal to 17.

Therefore, an estimated answer to the division of 168 by 12 is approximately 17.

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Answer:

I think 10

Step-by-step explanation:

because 4 times 10 is 40 and 4 side so 10 for each side

The dimensions of the rectangle are 4.63 inches and 8.63 inches respectively.

Given the following data:

Translating the word problem into an algebraic equation, we have;

[tex]W = L + 4[/tex]

To find the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula;

[tex]Area = LW[/tex]

Substituting the values into the formula, we have;

[tex]40 = L(L+4)\\\\40 =L^2+ 4L\\\\L^2+ 4L -40=0[/tex]

Solving the quadratic equation by using the quadratic formula, we have the following values;

L = 4.63 or −8.63

Length, L = 4.63 inches.

For the width:

[tex]W = L + 4[/tex]

[tex]W = 4.63 + 4[/tex]

W = 8.63 inches

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Answer:

The correct answer is A. That fifty percent is a statistic.

Step-by-step explanation:

Statistics is the science that studies the collection of objective data from reality and its subsequent analysis for the extraction of specific information on the group from which the data were obtained. Thus, statistics obtains different samples (such as opinions, personal characteristics, etc.) of a certain group, and compares their results with the purpose of establishing objective parameters applicable to the entire society.

In this way, the fact that in a survey 50% of the respondents answer in a specific way constitutes a specific statistic regarding that sample, which can in turn be transferred to society as a whole.

Answer:

a is the answer

Step-by-step explanation:

because i said so

Answer:

3/15=1/5

Step-by-step explanation:

4/20=3/15

3/15 is not all the way simplified. So i'm going to make it simple.

3 divided by 3=1

15 divided by 3=5

1/5 x 4=4/20

4/20 divided by 1/5=4

Answer:

-12

Step-by-step explanation:

7 1/2 ÷(4 1/2 - 5 1/8)

7 1/2 ÷ -5/8

7 1/2* -8/5

-12

Answer:

H

Step-by-step explanation:

I have done the work before

Answer:X=15 Y=4

Step-by-step explanation:

1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.

2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.

3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64

Answer:

One thing I see here is that we have to open the parenthesis by multiplying 4 by (n+10), so the option that says "Multiply (n + 10) by 4." Not sure how I can show explanation for this question.

Answer:

b b b b

the answer is b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

EDG 2020

Answer:

4:1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I just did it in illuminate

Answer:

Miss 1: 160

Miss 2: 120

Miss 3: 80

Miss 4: 40

Miss 5: 0

Step-by-step explanation:

Mark brainliest pls

Answer:

breadth = 25m

length= 35m

Step-by-step explanation:

perimeter is distance all round a figure

in a rectangle we have two pairs of  opposite but equal lines

breadth = 2x( because of the two breadths in a rectangle) - 20

length = 2x(  because of the two lengths in a rectangle)

perimeter = 2x + 2x - 20

120 = 4x - 20

120 + 20 = 4x

140 = 4x

35 = x

to get the dimensions, we have to divide by 2 as we took both parts of each dimension

breadth = 2x - 20

                     2

             =2(35) - 20

                      2

              = 70 - 20

                      2

              = 50m

                   2

               = 25m

length = 2x

              2

        = 2(35)

              2

        = 70m

              2

           = 35m

Answer:

The mass would be 2.

Step-by-step explanation:

1.66 + 0.34 is 2.

Answer:

slope is (2/3)x.   equation is y=(2/3)x-1

Step-by-step explanation:

Answer:

fhetdg55541378u c4i58454v.

Answer:

Bro, it literally shows how many points and it shows 5 dumb dumb

Step-by-step explanation:

Answer:

The constant is that every bag costs $3.55

Step-by-step explanation:

When the bag of peanuts costs $3.55 then Constant of proportionality is 3.55

The constant of proportionality is the ratio between two directly proportional quantities

Here,

Every bag of  peanuts costs $3.55

Consider the number of bags =  x

Cost of the peanut bag = y

Therefore

y is directly proportional to x

y = kx

Where k is the constant of proportionality

k = [tex]\frac{y}{x}[/tex]

if the cost of the one bag is $3.55

Then [tex]k=\frac{3.55}{1}[/tex]

k=3.55

Hence, When every bag of peanuts cost constant of proportionality is 3.55

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Answer:

sorry grffggcfcfxtcrxrxrzrzeDdd

Answer:

157,143 mm/s

Step-by-step explanation:

Formula for the volume of a sphere is;

V = 4/3 * pi * r^3

dv/dr = 4 pi r^2

dv/dt = dv/dr * dr/dt

dr/dt = 5 mm/s

dr/dt = 4 * pi * r^2

r = d/2 = 100/2 = 50 mm

dr/dt = 4 * 22/7 * 50^2 = 220,000/7

dv/dr = 220,000/7 * 5 = 157,142.8571428571

Approximately 157,143 mm/s

Answer:

0.40x = 320

Step-by-step explanation:

40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.

Answer:

uhhh

Step-by-step explanation: