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3 years ago

2(x - 5) + 7 = x + 8 what is x represents

Mathematics

1 answer:

Misha Larkins [42]3 years ago

4 0

Answer: $x=11$

Reorder the terms in parentheses

$+(+2x-10)+7=x+8$

Remove unnecessary parentheses

$+2x-10+7=+x+8$

Move all terms containing x to the left and all other terms to the right

$+2x-1x=+8+10-7$

Simplify left and right side of the equation

$+1x=+11$

divide both sides of the equation by 1 to get x

$x=11$

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3 years ago

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3 years ago

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A 5ft 11-inch women cast a three ft shadow. what is the angle that the sun's rays make with the ground?

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3 years ago

A rectangular prism has a length of 8 inches a width of 4 inches and a height of 2 1/4 inches. The prism is filled with cubes th

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Number of 1/4 inches cubes length-wise:
-------------------------------------------------------------------------------------
$4 \div \dfrac{1}{4}$

$=4 \times 4$

$=16$

-------------------------------------------------------------------------------------
Number of 1/4 inch cubes width-wise:
-------------------------------------------------------------------------------------
$8 \div \dfrac{1}{4}$

$=8 \times 4$

$=32$

-------------------------------------------------------------------------------------
Number of 1/4 inch cubes height-wise:
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$2\dfrac{1}{4} \div \dfrac{1}{4}$

$=\dfrac{9}{4} \times \dfrac{4}{1}$

$=9$

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Total number of 1/4 inch cubes:
-------------------------------------------------------------------------------------
16 x 32 x 9 = 4608

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Answer: 4608 cubes are needed to fill the rectangular prism
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