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agasfer [191]
3 years ago
5

In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t

he resulting fraction is equal Vhat was the original 8/12 fraction (not necessarily written in lowest terms)
Mathematics
1 answer:
love history [14]3 years ago
5 0

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12.  Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

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4 0
3 years ago
find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equ
Ostrovityanka [42]

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

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5 0
1 year ago
Martin earned the following scores on his last five tests.
Arada [10]
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8 0
3 years ago
A cab company charges $3 per cab ride, plus an additional $1 per mile driven. How long is a cab ride that costs $13?
Nadusha1986 [10]

Answer:

10 miles

Step-by-step explanation:

3+1x=13

Minus 3 from both sides.

3-3+1x=13-3

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Then divide both sides by 1.

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7 0
3 years ago
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The sum of three consecutive even integers is 72. Let x represent the least consecutive integer.
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The integers are x, x + 2 and x + 4

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8 0
3 years ago
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