Answer:
She makes 7.50 per hour
Step-by-step explanation:
Let x = regular rate
Time and a half = 1.5x
40 hours at x
52-40 = 12
12 hours at 1.5x
40x + 12 * 1.5x = 435
40x + 18x =435
58x = 435
Divide each side by 58
58x/58 = 435/58
x =7.5
She makes 7.50 per hour
Answer: Longest distance she could measure is 70 mm
Step-by-step explanation:
To find the longest distance from one side to other across the center we have to find the diameter of the lampshade.
As it is given that the distance around the lampshade is 219.8 mm which is equal to the circumference of the lampshade.
Circumference of the lampshade is
πD, where D is the diameter of the lampshade
where the value of π=3.14
Divide both sides by 3.14 we get

on solving we get

False. b is the y-intercept.
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Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:

Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction

Equate both fractions

Multiply both sides by 85





This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
<em>Recall that the question says the same number of boys and girls were surveyed</em>
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;





<em>Hence, the number of girls that chose outdoor is 111</em>