3 years ago

If 29 more than 2 times a number is -15, what is the number? -7 -22 7 22

1 answer:

5 0

You can write this as 2x + 29 = -15 where x is the number you are looking for. Rearrange this to get 2x = -44 and then divide by 2 to get x = -22.

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lidiya [134]

Answer:

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Step-by-step explanation:

Given that truck can hold = 504 $ft^{3}$ i.e.

Volume, V = 504 $ft^{3}$

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Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

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V = Length $\times$ Width $\times$ Height

Putting the given values and conditions:

504 = 12 $\times$ $w \times (w-1)$

$\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6$

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft $\times$ 7ft $\times$ 6ft.

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