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mariarad [96]
3 years ago
15

A trapezoid has an area of 60 square inches. The height of the trapezoid is 5 inches. What is the length of the longer base if t

he longer base is three times the length of the shorter base?
Mathematics
2 answers:
Gwar [14]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Vinil7 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Remark

Let the shorter base = x

Let the longer base = 3x

h = 5

Area = 60

Formula

Area = (b1 + b2)*h /2

Solution

60 = (x + 3x)*5 / 2                Multiply both sides by 2

2*60 = (x + 3x)*5                  Combine like terms

120 = 4x *5

120 = 20x                             Divide by 20

120/20 = x

x = 6

Therefore the two bases are

x = 6

3x = 18

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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
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Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

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