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NNADVOKAT [17]
4 years ago
5

What is the value of h?

Mathematics
1 answer:
storchak [24]4 years ago
5 0

Answer:

\large\boxed{h=5.488\ in}

Step-by-step explanation:

The formula of an area of a parallelogram:

A=bh

b - base

h - height

We have:

base₁ = 9.8 in

base₂ = 10 in

height₁ = 5.6 in

height₂ = h

The area of a parallelogram:

A=b_1h_1 and A=b_2h_2

Therefore we have the equation:

b_2h_2=b_1h_1

Substitute:

10h=(9.8)(5.6)

10h=54.88          <em>divide both sides by 10</em>

h=5.488\ in

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Half of the students in an International School are Americans. One third of the remaining students are Europeans, and the rest a
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Answer:

450 students

Step-by-step explanation:

Let s = number of students

1/2 are Americans  1/2s are Americans

s -1/2s = number of students left

1/2 s = number of students left

1/3 of the students left are Europeans

1/3 (1/2s) = 1/6s  are Europeans

The rest are Australians = 150

Students = Americans + Europeans + Australians

   s          =   1/2s          +    1/6s    + 150

Combine like terms

s    = 1/2*3/3 *s + 1/6s +150

s = 3/6s + 1/6s +150

s = 4/6s + 150

Subtract 4/6s from each side

s -4/6s = 150

6/6s - 4/6s = 150

2/6s = 150

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Multiply each side by 3

3* 1/3s = 150*3

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There are 450 students

3 0
4 years ago
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Sally had seventy - seven dollars to spend on eight books. After buying them she had thirteen dollars. How much did each book co
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CDs R Us sells books on tape and on Cd. Tapes sell for $10 and Cds sell for $15.
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We also n=know she spent 220, so:

10c + 16t = 220

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If we take this last equation and subtract t in both sides:

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So, she purchased 10 tapes. As in total she purchased 16 items she must have purchased 6 cds.

Solution: She purchased 10 tapes and 6 CDs

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