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3 years ago

-g + 2(3 + g) = -419 + 1) What is the solution

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

Answer: g=-424

Step-by-step explanation:

Given

-g+2(3+g)=-419+1

Expand parenthesis

-g+6+2g=-419+1

Combine like terms

g+6=-418

Subtract 6 on both sides

g+6-6=-418-6

g=-424

Hope this helps!! :)

Please let me know if you have any questions

kompoz [17]3 years ago

7 0

Answer:

Step-by-step explanation:

−

424

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Square root of 4×-1=5

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how i did this

 Add 11 to both sides.

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Divide both sides by 4

x= 6/4

Simplify 6/4 to 3/2

Awnser

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3 years ago

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

Julli [10]

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4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

<h3>adding 2 to each term</h3>

The new fraction is ...

$\dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\$

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

$\dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}$

The original fraction is ...

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_____

<em>Alternate solution</em>

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

(6-2)/(9-2) = 4/7

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2 years ago