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evablogger [386]
2 years ago
11

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing cl

erical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. ​ Part A Let b represent the number of hours Carson works in one week at the babysitting job, and let c represent the number of hours Carson works in one week at his father's business. Which inequalities represent the constraints on what Carson can earn and the number of hours he can work in one week? Select all that apply.​ A b+c≤15 B 6b+8c≤15 C 6b+8c≥15 D b+c≥96 E 6b+8c≥96 F 6b+8c≤96 Part B Which combination of number of hours would allow Carson to work 15 hours in one week and earn at least $96? Select all that apply. A 10 hours babysitting and 5 hours clerical B 11 hours babysitting and 4 hours clerical C 12 hours babysitting and 3 hours clerical D 13 hours babysitting and 2 hours clerical E 14 hours babysitting and 1hour clerical Part C Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at least $96 that week? ​Enter your answer in the box. ​ hours ​ ​ ​ Part D ​Suppose Carson worked at his father's business for hours one week. What is the minimum number of full hours he would need to babysit that week to earn at least that week? ​​Enter your answer in the box.

Mathematics
2 answers:
pickupchik [31]2 years ago
7 0

Answer:

Step-by-step explanation:

maksim [4K]2 years ago
6 0

Answer:

Part A: A, E Part B: A, B, C Part C: 8 hours Part D: 5 hours

Step-by-step explanation:

Part A:

hours that he works (b and c) should be less than or equal to (\leq \\) 15

Option A

amount of money he makes for each (6b and 8c) should be greater than or equal to (\geq) 96

Option E

Part B:

Amount he makes should be greater than or equal to 96

Option A 6(10)+8(5)=100

Option B 6(11)+8(4)=98

Option C 6(12)+8(3)=96

Part C:

6(5)=30

96-30=66

66÷8=8.25

Part D:

8(8)=64

96-64=32

32÷6=5.33

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The width of a rectangular rug is 6 feet if the perimeter is 24 feet what is the area of the rug?
babymother [125]

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36 feet squared

Step-by-step explanation:

Finding the perimeter of an object is adding all of the sides together. If the width of the rug is 6 feet then we know that there are two sides that length. Add those together.

6 feet + 6 feet = 12 feet

You would subtract the number you get from the perimeter.

24 feet - 12 feet = 12 feet

And then divide the number by the number of sides left, 2, to get each of their lengths.

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6 0
2 years ago
This week, Sarah spent a total of 120 minutes studying. This total was 20 more
MrMuchimi

Answer:

She spent 25 minutes studying last week

Step-by-step explanation:

L = last week

120 = 4L + 20

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4 0
2 years ago
Convert the angle measure 40° to a radian measure?
Sophie [7]

Answer:

The answer is

<h2>\frac{2\pi}{9}  \\</h2>

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by \frac{\pi}{180} .

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It's equivalent in radians is

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\frac{2\pi}{9}  \\

Hope this helps you

8 0
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5 0
2 years ago
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