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Liula [17]
3 years ago
11

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. I

n the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?​
Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

$14.93

Step-by-step explanation:

she works 7+8=15 hours.

she earns in total per day

7×$23.46 + 8×$7.47 = $223.98

on average she makes per hour

223.98 / 15 = $14.93

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Jerry thinks that x < 4 is a solution to the following inequality: 2x + 10 < 4x - 20
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Answer:

x>15

Step-by-step explanation:

Given the inequality: 2x + 10 < 4x - 20

Collect like terms

2x-4x<-20-10

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x > -30/-2

x>15

Hence the solution is x>15

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Solve for x
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What is the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes
Alex_Xolod [135]

Considering the definition of perpendicular line,  the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

<u><em>y= -7/2x - 7</em></u>

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

<u><em>slope perpendicular line= 2/7</em></u>

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

<u><em>-8= b</em></u>, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

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