The graph shows the amount of money earned by an employee based on the time he spent working. Which list shows the dependent quantities in the graph?
A. 10, 20, 30, 40, 50
B. 101, 202, 303, 404, 505
C. 1, 2, 3, 4, 5
D. 11, 22, 33, 44, 55

Answer:

C

Step-by-step explanation:

The x is 3 and the y is 1 so if you divide the x by 3 it is 1 which is the y.

The relationships which have the same constant of proportionality between y and x as in the equation y = 1/3x are C and E.

The slope of a line is the ratio that determines the steepness as well as the direction of the line.

Let the two points on a line be [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2} , y_{2 )[/tex]. The slope can be found as follows:

[tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]

The constant of proportionality in the given problem can be understood as the slope of the line. Thus the lines with their slopes as 1/3 will have the same constant of proportionality as the equation y = 1/3 x.

We can observe the graphs given and find their respective slopes. It can be done as follows:

(3 - 0)/(0 + 3) = 1

(3 - 0)/(1 - 0) = 3

(1 - 0)/(3 - 0) = 1/3

(29.1 - 4.8)/(9.7 - 1..6) = 3.111

(0.8 - 0.5)/(2.4 - 1.5) = 1/3

Therefore, graphs C and E have relationships that have the same constant of proportionality between y and x as in the equation y = 1/3 x.

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Answer:

Volume: 12 cubic inches

Step-by-step explanation:

Volume is basically height times width times base

Answer:

2/3w = 84

w = 126 ft.

Answer:

Step-by-step explanation:

A=LW

W=A/L

We are given A=84 and L=2/3 so

W=84/(2/3)

W=84(3/2)

W=126 ft

Answer:

36°

Step-by-step explanation:

finger slipped one sec

Answer:

36°

Step-by-step explanation:

Answer:

a i think

Step-by-step explanation:

Answer:

180mm^2

Step-by-step explanation:

CB = 15^2 + 6^2 = 261, the square root of 261 is ~16mm

CB is 16mm

the area of the triangle is A=ab/2

A=45mm^2

Now you need to find the area of the rectangle

A=l×w

A= 15×9= 135mm^2

now add both areas

(135+45)mm^2=180mm^2

180mm^2Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation: Hope this helps :)

Answer:

C (2,1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

FIRST ONE D

SECOUND ONE IS 52

THRID 505

FORD 40

FIVE 18

Answer:

k = -13

Step-by-step explanation:

-4(k +2) = -k +31

you multiply the bracket by -4

-4k-8 = -k+31

Collect the like terms

-4k+k = 31+8

-3k =39

divide both sides by -3

k = -13

Answer:

k = -13

Step-by-step explanation:

Distributive property

(-4 x k + -4 x 2)

-4k + -8 = -k + 31

subtract 31 from both sides.

-4k - 39 = -k

add 4k to both sides

-39 = 3k

divide 3 from both sides

-13 = k

Answer:

Step-by-step explanation:

x = number of pushups he did

Answer:

the number of pushups done by Noah

Step-by-step explanation:

if Noah did x amount of pushups then Diego did twice as many, which is 2x therefore in this equation x represents the number of pushups done by Noah

Answer:

2^-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 * 1/2 * 1/2 * 1/2 = [tex](\frac{1}{2})^{4}[/tex]

[tex]\frac{1}{a^{m}}= a^{-m}[/tex]

[tex](\frac{1}{2})^{4} = 2^{-4}[/tex]

Answer:

37

Step-by-step explanation:

To find the number of calories per hour, you need to divide

185 ÷ 5 = 37

When divided, you get the unit rate or 37 calories per hour

Answer:

Step-by-step explanation:

it 4 because im in 4th grade

Answer:

the 10 books take up 28 centimetres what is the average thickness of her books

Answer:

c

Step-by-step explanation:

The solution is : 6 feet describes the center, and 9 feet describes the spread

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

The center of a data set is mostly considered as the median or the mean

Here mean is 6 (given). And median is also 6.

As 6 is exactly at the middle of the data set. (When arranged in ascending order)

Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.

Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.

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Answer:

1. 2

2. 30

Step-by-step explanation:

1. The weird circle looking thing essentially means you're putting p(x) inside of q(x). This means you take the x in q(x) and replacing with the entire p(x)

so q(x) = -3x - 4

(q °p)(x) = -3 (-2x+4) -4  sorry I can't find the actual circle thing symbol

now distribute to get the simplified equation:

= 6x -12 -4

= 6x - 16

because you're doing (q - p )(3), you would plug 3 for x into the new equation

6(3) - 16 = 2

and thats you're answer for the first one

for the second one its the other way around, so you're putting all of q(x) into p(x)

take p(x) : -2x+4

and now replace the x with the entire q(x)

so (p - q)(x) = -2 (-3x-4) +4

simplify: = 6x+8+4 = 6x+12

so now since we're doing (p-q)(3), we need to plug in 3 for x in the new equation

= 6(3)+12 = 30

lmk if those were wrong or if my explanation was unclear, there's another way I can explain it even though its the same process :)

Answer:

A

Step-by-step explanation:

Split the shape into 2 cuboids

7*2*5 = small cuboid

10*4*5 = large cuboid

add both of these figures up to find the total volume.

Answer:

i think it is D

Step-by-step explanation

Hope that helps!

Answer:

d

Step-by-step explanation:

Step-by-step explanation: Hope this help :D

−4m−2 1/4−6 1/4

Answer: =−4m−8 1/2 (Decimal: -4m+\,{-17}/{2}\,)

Answer:

18 inch

Step-by-step explanation:

In a full rotation, a wheel covers its full perimeter(circumference). Let the diameter be d.

=> circumference = 57 inch

=> πd = 57 inch

=> (22/7) d = 57 inch.

=> d = (57 * 7)/22 inch

=> d ≈ 18.13 inch

=> d = 18 inch (nearest inch)

Answer:

1. : a-2/6

is the answer

Step-by-step explanation:

Answer:

They purchased 4.83 pounds together

Step-by-step explanation:

Worked it out on paper its 4.83

Answer:

The output is six times the input. So,

y=6x

Step-by-step explanation:

Answer:

40 percent :)

Step-by-step explanation:

Answer:

87.96

Step-by-step explanation:

A= 2πrh+2πr^2

A= 2π(2)(5)+2π(2^2)

A= 87.96