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Vikki [24]
3 years ago
5

At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount

of leftover cake. How much cake did each employee take home?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0

Answer:

3/20

Step-by-step explanation:

This is a division question.

The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.

When you divide fractions you have to flip the second number and multiply the two fractions.

So, you have to do 3/4 x 1/5 which is 3/20.

Thus, the answer is 3/20.

Good luck!

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Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

  • Both triangles are identical
  • Both rectangles are different
  • There are values in units^2 given
  • There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation                                                 A = 1/2(bh)

Substitute                                                           A = 1/2(4*3)

Simplify                                                               A = 1/2(12)

Solve                                                                   A = 6

Double                                                                     *2

                                                                           A = 12 u^2

Rectangles

Set up equation                                                 A = lh

Substitute                                                           A = (14)(3)

Simplify                                                               A = 42 u^2

Set up equation                                                 A = lh

Substitute                                                           A = [14-(4+4)](3)

Simplify                                                               A = (14-8)(3)

Simplify                                                               A = (6)(3)

Multiply                                                               A = 18 u^2

Total Area

Set up equation                                                 A = R1+R2+T

Substitute                                                           A = 42 + 18 + 12

Simplify                                                               A = 60 + 12

Solve                                                                   A = 72 u^2

<h3>Answer: 72 u^2</h3>
4 0
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