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Dafna11 [192]
4 years ago
8

Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.

Mathematics
2 answers:
TEA [102]4 years ago
7 0

For this case we have the following equation:

3q + 5 + 2q - 5 = 65.

We must find the value of the variable q:

We add similar terms:

3q + 2q + 5-5 = 65\\5q + 0 = 65\\5q = 65

We divide between 5 on both sides of the equation:

\frac {5q} {5} = \frac {65} {5}\\q = 13

So, the value of q is 13

Answer:

q = 13

JulsSmile [24]4 years ago
4 0

simplified version: 5q = 65

5q = 65

 q = 13

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There are no variables, there is only a 1

Step-by-step explanation:

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Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

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192 =  x(4 + 1/2 x)

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\sqrt{400} = \sqrt{(x + 4)^2}

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

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8 0
3 years ago
Rewrite the expression using sixths 1 1/3 - 1/2 = 4/3 - 1/2
GuDViN [60]

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Step-by-step explanation:

3 0
3 years ago
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F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


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Answer:

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