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svetlana [45]
3 years ago
13

Solve the inequality 2x < 8 - 4(2 - x)

Mathematics
1 answer:
nevsk [136]3 years ago
5 0
Remember you can' do anything to boht sides, but when times negative, flip sign
distributive property
a(b+c)=ab+ac

distribute the -4
-8+4x

now we have
2x<8-8+4x
2x<4x
minus 2x both sides
0<2x
therefor
0<x

answer is x>0
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Anthony is an executive assistant. He makes $15.85 per hour. If he worked 47.50 hours this week, what is his (a) OT pay? What ab
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Anthony's OT pay will be $118.875 and his overall pay will be $752.875.

Number of hours Anthony has to work in a week = 5 × 8 = 40 hours.

He worked for = 47.50 hours.

Overtime = 47.50 hours - 40 hours = 7.50 hours

Pay per hour = $15.85 / hour

Overtime pay (OT pay) = $15.85 × 7.50 = $118.875

Overall pay = $15.85 × 47.50 = $752.875

Therefore, Anthony's OT pay is $118.875 and his overall pay is $752.875.

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2 years ago
#1 Find the slope given the points (3,-20) and (5,8) *
Artyom0805 [142]

Hey there :)

To find the slope with <em>two points</em> we will need to use the equation  \frac{y^2-y^1}{x^2-x^1}

x^1    x^2       y^1  y^2

( 3 , -20 )  ( 5 , 8 )

Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :

                                     \frac{8 - (-20)}{5 - 3}

We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.

Solve the fraction and we get   \frac{28}{2}

28 <em>divided</em> by 2 is 14. The slope is 14.

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3 years ago
Please answer the question in the picture below
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The answer is b because there is a negative in the exponent and the number needs to be a single digit and 54 is double digit. hope this helps!
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<span>-5 is the answer !!!!!!
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A trapezoid is shown below.

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A trapezoid is shown below.

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A trapezoid is shown below.

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