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9966 [12]
4 years ago
5

Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls

and 3 baseballs for a total of $23.75. The second athletic director bought 2 tennis balls and 7 baseballs for a total of $31.25. What is the price of a baseball?
Mathematics
1 answer:
Setler79 [48]4 years ago
6 0
The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y=  156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.
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schepotkina [342]

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

y\propto x

y=kx               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

10=k(8)

\dfrac{10}{8}=k

\dfrac{5}{4}=k

Putting k=\dfrac{5}{4} in (i), we get

y=\dfrac{5}{4}x

Therefore, the contestant of proportionality is k=\dfrac{5}{4} and the equation for the proportional relationship is  y=\dfrac{5}{4}x.

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3 years ago
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Vanyuwa [196]

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Step-by-step explanation:

6 0
3 years ago
5 1 point 34 is 68% of what number?​
Ilya [14]

Answer:

50

Step-by-step explanation:

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4 0
3 years ago
Answer it right and i'll try to give you brainliest.
mario62 [17]

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

\boxed{area \: of \: triangle =  \frac{1}{2} \times base \times height }

Area of a triangular face

= ½ ×12 ×10

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\boxed{area \: of \: square = side \times side}

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= 144 cm²

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= 4(60) +144

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3 years ago
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2 hours and 42 minutes
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