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Grace [21]
3 years ago
6

The diagram shows the measurements of a frame into which concrete is poured to make steps. The steps are shaped like rectangular

prisms. Which expressions can be used to find the volume of concrete used for the steps?
Select all the correct answers



A
(6 x 16 x 8) + (7 x 14 x 8)
B
(6 x 16 x 6) + (14 x 16 x 7)
C
(6 x 16 x 6) + (14 x 7 x 6)
D
(6 x 6 x 14) + (16 x 6 x 7)
E
(6 x 16 x 13) + (8 x 16 x 7)

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0
(6 x 16 x 6) + (14 x 16 x 7)
Answer = B
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\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]

\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75

Number of books cannot be negative.

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