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Svetach [21]
4 years ago
14

Which equation, when solved, gives 8 for the value of X?

Mathematics
1 answer:
guajiro [1.7K]4 years ago
5 0

Answer:

Option C: (5/4)x - 2 = (3/2)x - 4

Step-by-step explanation:

A) (5/2)x + (7/2) = (3/4)x + 14

Multiply through by 4 to get;

10x + 14 = 3x + 56

10x - 3x = 56 - 14

7x = 42

x = 42/7

x = 6

B) (5/4)x - 9 = (3/2)x - 12

Multiply through by 4 to get;

5x - 36 = 6x - 48

6x - 5x = 48 - 36

x = 12

C) (5/4)x - 2 = (3/2)x - 4

Multiply through by 4 to get;

5x - 8 = 6x - 16

6x - 5x = 16 - 8

x = 8

D) (5/2)x - 7 = (3/4)x + 14

Multiply through by 4 to get;

10x - 28 = 3x + 56

10x - 3x = 56 + 28

7x = 84

x = 84/7

x = 12

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Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per
Sholpan [36]

The gross pay per year is \fbox{\bf\$19697.6}.

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as x and net pay as y.

Since the net pay y is 66% of the gross pay x, it can be written as follows:

\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}

The net pay per week is given as $250.

Substitute 250 for y in above equation.

\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0
4 years ago
3 1/2x +4 1/3=7 2/9 does anyone know how to do this?????
saw5 [17]
I hope this helps you

5 0
4 years ago
Find an equation that passes through the points (2,4) and is perpendicular to the line 3x+4y-22=0
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Hello:<span>
the equation is : y = ax+b
the slope is a : a×(-3/4) = -1......( perpendicular to a line : </span>

3x+4y-22=0  : another equation is : y = (-3/4)x +22/4 with the slope : (-3/4))

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<span>an equation  is : y - 4 = (4/3)(x-2)</span>

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6 0
3 years ago
C.) Apple offers a buyback program for iPhones after they are 5 years old. They
max2010maxim [7]

Answer: It would not be profitable to sell it back for 100$.

Step-by-step explanation:

It would not be profitable because you might have payed 300-1000$ (Depending what phone you buy) for your phone. It would only be profitable for the older generation of the phones like iPhone 5 and iPhone 6.

4 0
3 years ago
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs
Vesna [10]
Average price=total price/total weight, let p be the average price:

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p=(12+16)/8

p=$3.50/lb
7 0
4 years ago
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