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STALIN [3.7K]
2 years ago
10

Please help due in 3 minutes ​

Mathematics
2 answers:
horrorfan [7]2 years ago
8 0

Answer:

k = $0.50

Step-by-step explanation:

The data that we have is:

Rocko paid: $12.50 for 25 tickets.

Louisa paid: $17.50 for 35 tickets.

Now, the question asks to find the constant of proportionality.

A proportional relation can be written as:

y = k*x

where k is the constant, and in this case, y is the price and x the number of tickets bought.

Then replacing with the values above, we have:

$12.50 = k*25

then:

k = $12.50/25 = $0.50

And the other data:

$17.50 = k*35

K = $17.50/35 = $0.50

So we have the same k in both cases, this means that the constant of proportionality is k = $0.50

Feliz [49]2 years ago
7 0

i'm not all too familiar with the constant of proportionality, but both of the situations have a ratio of 0.5/1..

12.50/25 = 0.5/1

17.50/35 = 0.5/1

hopefully this can help you in some way! sorry if it doesn't

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The ABC Company has a net income of $56,000, assets at the beginning of the year are $263,000 and assets at the end of the year
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Answer:

19.4 %

Step-by-step explanation:

The formula for<em> return on assets</em> (ROA) is

ROA = Net income /Total assets × 100 %

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<em>Calculate the average total assets</em>

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===============

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4 0
3 years ago
Read 2 more answers
The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal
Fynjy0 [20]

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

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