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3 years ago

What is the solution to the equation 1/4x+2=-5/8x-5 O X=-8 O x=-7 O X= 7 O X=8

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

Answer:

x = -8

Step-by-step explanation:

1/4x+2=-5/8x-5

Add 5/8 x to each side

1/4x + 5/8 x+2=-5/8x + 5/8x-5

1/4x + 5/8x +2 = -5

Subtract 2 from each side

1/4x + 5/8x +2-2 = -5-2

1/4x + 5/8x = -7

Get a common denominator of 8

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7 * 7/8x = -7*8/7

x = -8

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Slav-nsk [51]

Answer:

2.25

Step-by-step explanation:

The old width of 4 inches became a new width of 9 inches.

Old: 4 in.

New 9 in.

The old length of 6 inches became a new length of 13.5 inches.

Divide the new size by the corresponding old size.

9/4 = 2.25

13.5/6 = 2.25

You see in both cases, the scale factor is 2.25

The scale factor is 2.25

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3 years ago

Select the expressions whose value is 4. (-2)² |- 4| - 4÷2 2(-2)

Dmitry [639]

The first and the second one.

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Absolute value of -4 is 4

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3 years ago

AleksAgata [21]

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$\bf \cfrac{\textit{sphere A}}{\textit{sphere B}}\qquad \stackrel{\stackrel{sides'}{ratio}}{\cfrac{1}{4}}\qquad \qquad \stackrel{\stackrel{sides'}{ratio}}{\cfrac{1}{4}}=\stackrel{\stackrel{volumes'}{ratio}}{\cfrac{\sqrt[3]{288}}{\sqrt[3]{v}}}\implies \cfrac{1}{4}=\sqrt[3]{\cfrac{288}{v}}\implies \left( \cfrac{1}{4} \right)^3=\cfrac{288}{v} \\\\\\ \cfrac{1^3}{4^3}=\cfrac{288}{v}\implies \cfrac{1}{64}=\cfrac{288}{v}\implies v=18432$

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3 years ago

73 divi by 844 helppppppppppppp

Mice21 [21]

Answer:

0.1

Step-by-step explanation:

73/844=0.08649=0.1(After rounding)

6 0

2 years ago

Which quadratic equation has solutions x=8 and x=−1?

andrezito [222]

There are two ways you can do this

$Using the formula$

${x}^{2} - (sum \: of \: roots)x + poduct \: of \: roots = 0$

${x}^{2} - (8+-1)x + - 1 \times 8 = 0$

${x}^{2} - 7x - 8 = 0$

$Working backwards$

$x = 8 \: or \: x = - 1$
$\Rightarrow x-8=0 \: or \: x+1=0$

$\Rightarrow (x-8)(x + 1)=0$
$\Rightarrow {x}^{2} + x -8x - 8 = 0$
$\Rightarrow {x}^{2} - 7x - 8 = 0$

7 0

3 years ago