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Sunny_sXe [5.5K]
3 years ago
8

Find a number that is 20 less than three times its opposite.

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
-3x - 20 = x
4x = -20
x = -5 
The number you are looking for is negative 5
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Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

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×−3x

2

y

2

×

3

2

xy

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2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

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a

×

d

c

=

bd

ac

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\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

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y

2

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4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

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2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

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3

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4+4

x

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8 Simplify 4+44+4 to 88.

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3

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8

x

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9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

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−

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x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

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48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

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-16{y}^{8}{x}^{3}

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