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Juliette [100K]
3 years ago
15

Please help me I'm stuck on these.. Thanks​

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

Step-by-step explanation:

3(n+4)=1/2(6n+4)

We simplify the equation to the form, which is simple to understand

3(n+4)=1/2(6n+4)

Simplifying:

3*(n+4)=0.5*(6n+4)

Reorder the terms in parentheses

+(+3n+12)=0.5*(6n+4)

Remove unnecessary parentheses

+3n+12=0.5+*(+6n+4+)

Reorder the terms in parentheses

+3n+12=+(+3n+2)

Remove unnecessary parentheses

+3n+12=+3n+2

We move all terms containing n to the left and all other terms to the right.

+3n-3n=+2-12

We simplify left and right side of the equation.

n=-10

0=-10

The left and right sides are not equal, therefore there is no solution. This equation is invalid.

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Three fourths a number plus 8 is 20 less than the number
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Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

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Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

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