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Artemon [7]
3 years ago
15

A prism has total surface area of 228 m^2 and volume of 216 m^3.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0
 Original and bigger prism are similar with scale factor k = 4, so:

new surface area = k² * original surface area = 4² * 228 = 16 * 228 = 3648 m²
and
new volume = k³ * original volume = 4³ * 216 = 64 * 216 = 13824 m³
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Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each
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Answer:

The number of drinks that Sarah bought was 2 and the number of candies that Sarah bought was 6

Step-by-step explanation:

Let

x ----> the number of drinks that Sarah bought.

y ----> the number of candies that Sarah bought.

we know that

she bought $35.50 worth of drinks and candies

so

5x+4.25y=35.50 -----> equation A

She bought 3 times as many candies as drinks.

so

y=3x -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (2,6)

see the attached figure

therefore

The number of drinks that Sarah bought was 2 and the number of candies that Sarah bought was 6

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3 years ago
A rectangular field is 280 m by 390 m. A rectangular barn 25 m by 33 m is built in the field. How much area is left over?
igomit [66]
Field area:

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Barn area:

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let area:   109,200 - 825 = 108,375 m²


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