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WARRIOR [948]
1 year ago
11

Solve for x: 5x+7=3x−9.

Mathematics
1 answer:
ludmilkaskok [199]1 year ago
6 0

To solve for x in the given equation;

5x+7=3x-9

We start by collecting like terms, as follows;

5x-3x=-9-7

When a number crosses the sign of equality, the sign in front of it switches. Positive numbers becomes negative, and vice versa.

We would now have;

\begin{gathered} 5x-3x=-9-7 \\ 2x=-16 \\ \text{Divide both sides by 2;} \\ \frac{2x}{2}=\frac{-16}{2} \\ x=-8 \end{gathered}

ANSWER:

The answer is x = -8

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Choose the correct simplification of the expression ( 4x/y)^2.
erik [133]

\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2}   \end{gathered}$}

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} }  \end{gathered}$}

Expand (4x)².

\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} }  \end{gathered}$}

Calculates 4 to the power of 2 and gets 16.

\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} }  \end{gathered}$} }

6 0
2 years ago
Linda drives 35 miles five days of the week . During one year, she has 10 days of vacation and 10 holidays when she does not dri
Alenkinab [10]

Answer:

1680 miles

Step-by-step Explanation:

There are 52 weeks in a year. Total number of days she is expected to work would be 52 * 5 = 260 days.

Now we know she has 10 vacation days and 10 holidays. This translates 260 - 20 = 240 days

Now if she drives 35miles 5 days of the week, this means she dives 7 miles per day.

The total number of miles traveled is this 240 * 7 = 1680 miles

5 0
3 years ago
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When solving problems, which of these is performed before the others?
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it is probably exponents

7 0
3 years ago
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How can you subtract mixed numbers when the fraction in the front number is less than the second fraction?
irakobra [83]
U have to find a common denominator
5 0
4 years ago
What is the lest common Denominator for the fraction 1/7 and 2/3
djyliett [7]

Answer:

21

Step-by-step explanation:

7×3=21

You can also list out the multiples of 7 and 3, but its easier to just multiply

4 0
3 years ago
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