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elena55 [62]
3 years ago
6

A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many

ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = \frac{33.48}{24.35}

At cost $27.87/ounce, pure silver is mixed = \frac{33.48}{24.35}\times 27.87 = \frac{933.08}{24.35}  = 38.31

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

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<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

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Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

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Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
What is an equation of the line that passes through the points (-4, 2) and<br> (-8, -3)?
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5 0
2 years ago
In a cookie jar, 1/4 of the cookies are chocolate chip, and 1/4 of the rest are peanut butter..What fraction of all the cookies
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Please help if you can, it's due soon :) ​
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Answer:

<SDQ

Step-by-step explanation:

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8 0
2 years ago
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Answer:

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Step-by-step explanation:

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