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olga_2 [115]
2 years ago
10

Evaluate. -2(x + 6) + 3 = -11x + 4(x + 4) The value of x is ___​

Mathematics
1 answer:
Yanka [14]2 years ago
7 0

-2(x + 6) + 3 = -11x + 4(x + 4)

-2x - 12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

5x = 25

<em>x = 5</em>

Hope this helps! :)

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3/20 as a decimal equivalent is <span>0.15</span>
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Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and
nekit [7.7K]

Answer:

r = \$14.71

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

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Required

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First, we need to determine the hours worked overtime.

This is:

Overtime = 43 - 32

Overtime = 11

The equation that binds all the parameters is:

Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate

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535.62 = 21 * r + 11 * 1.4r

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r = 535.62/36.4

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3 0
3 years ago
Equation of the line contains the points (-3,2) and (5,-5)
makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

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We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

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We substitute one of the points and find "b":

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y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

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