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Alina [70]
2 years ago
12

Suppose that paulie and vinny each can produce ice cream or t-shirts. The table shows the quantity of each good that paulie and

vinny each can produce in 1 hour, respectively, if they devote all of their time and effort into making the good. Round all answers to two decimal places.
Mathematics
1 answer:
madam [21]2 years ago
7 0

Paulie's opportunity cost of producing a cup of ice cream is 4 T-shirts while Vinny's opportunity cost (C) of producing a t-shirt is 0.53

<h3>How to calculate the opportunity cost</h3>

The table entries are given as:

          Ice Cream (cups) T-shirts (quantity)

Paulie 5.00                          20.00

Vinny 8.00                              15.00

Paulie's opportunity cost of producing a cup of ice cream is calculated by dividing the number of T-shirts by the cups of ice cream.

So, we have:

C = \frac{20.00}{5.00}

C =4.00

Similarly, Vinny's opportunity cost (C) of producing a t-shirt is calculated by dividing the cups of ice cream by the number of T-shirts

So, we have:

C = \frac{8.00}{15.00}

C = 0.53

Hence, Vinny's opportunity cost (C) of producing a t-shirt is 0.53

Read more about opportunity costs at:

brainly.com/question/8846809

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Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
Monica [59]

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

k =  \frac{1}{4}

So the formula for the variation is

y =  \frac{1}{4} x

when

x = 8

y =  \frac{1}{4}  \times 8

we have the final answer as

<h3>y = 2</h3>

Hope this helps you

5 0
3 years ago
PLEASE HELP PLEASE WILL GIVE BRAINLIEST !!!!! Freya is training for a track race. She starts by sprinting 200 yards. She gradual
DedPeter [7]

Answer:

A. a_n=200+(n-1)5

Step-by-step explanation:

Given,

The initial sprinting of Freya = 200 yards,

Also,  She gradually increases her distance by 5 yards per day,

So, in second day her sprinting = 200 + 5 = 205 yards,

In third day = 205 + 5 = 210 yards,

In fourth day = 210 + 5 = 215 yards,

....................,  so on,.....

Hence, the sequence that shows the given situation,

200, 205, 210, 215, .........

Which is an A.P.

That having first term, a = 200,

Common difference, d = 5,

Thus, the explicit formula for the given situation is,

a_n=a+(n-1)d

\implies a_n=200+(n-1)5

Option A is correct.

7 0
3 years ago
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Step-by-step explanation:

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How can you tell by looking at the coordinates of the two triangles that Δ A'B'C' is a 180° rotation of Δ ABC? A) The coordinate
MariettaO [177]

under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

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