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polet [3.4K]
3 years ago
6

Fred and his family went to the zoo. Fred started the day with $100. He bought 2 adult tickets for

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer: 2•15+3•8-100

Step-by-step explanation:

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QUESTION 1

GIVEN:

long \: base = 3 \times (short \: base)

height = (short \: base) - 2

area = 30 {in}^{2}

IMPORTANT EQUATIONS

trapezoid \: area = \frac{sum \: of \: bases}{2} \times height

SOLVE:

30 = \frac{short + long}{2} (short - 2)
30 = \frac{(short + 3short)}{2} \times (short - 2)

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factor:

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Negative five is not a reasonable answer, so we focus on the positive three and say that is the length of the short base.

so, the answers:

short \: base = 3 \: in

long \: base = 3 \times 3 = 9 \: in

height = 3 - 2 = 1 \: in

QUESTION 2

GIVEN
convert 3ft to inches.

l = 32 + w

area = lw = 130 {in}^{2}
or

w = \frac{130}{l}

substitute

l = 32 + \frac{130}{l}

solve for l:

{l}^{2} - 32 l- 130 = 0
QUESTION 3

x(x + 2) = 80

solve for X

{x}^{2} + 2x - 80 = 0
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x = 10 \: and \: - 8

take the positive value since it's the only one that makes sense in this context.

so the two values are:

10 \: and \: 8
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