1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Komok [63]
3 years ago
9

Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, s

he can work no more than 13 total hours and must earn no less than $180. If Madelyn worked 8 hours lifeguarding, determine all possible values for the number of whole hours clearing tables that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Madelyn is making $20 per hour life guarding

- She is making $12 per hour clearing tables

- She can work no more than 13 total hours

∴ The greatest time she can work is 13 hours (≤)

- She must earn no less than $180

∴ The least money she wants to earn is $180 (≥)

- If Madelyn worked 8 hours life guarding and assume that she

 worked x hours clearing tables

∵ She can work no more than 13 hours

∴ 8 + x ≤ 13

- Subtract 8 from both sides

∴ x ≤ 5 ⇒ (1)

∵ She must earn no less than $180

∴ 8 × 20 + x × 12 ≥ 180

∴ 160 + 12x ≥ 180

- Subtract 60 from both sides

∴ 12x ≥ 20 ⇒ (2)

- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5

- Substitute x in equation (2) by these values to find the right values

 of x

# If x = 1

∴ 12(1) ≥ 20

- But 12 is less than 20

∴ x can not be 1

# x = 2

∴ 12(2) ≥ 20

∴ 24 ≥ 20

- 24 is greater than 20 then x can be 2

∵ 3 , 4 , 5 greater than 2

∴ All of them give answers greater than 20

∴ x can be 3 , 4, 5

∵ x represents the number of hours for clearing tables

∴ The possible values of the number of hours clearing tables are

   2 , 3 , 4 , 5 hours

You might be interested in
HELP ME ASAP PLEASE IM REALLY STRESSED :c
sveta [45]

Answer:

0.3 miles.

Step-by-step explanation:

If it takes all 3 of them to get there in a mile then it will equal to 3 miles.

5 0
3 years ago
Read 2 more answers
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter
kow [346]

Answer: Venus

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write an equation of the line that has a slope of 2 and y-intercept 1 in slope-intercept form.
Vlada [557]
Y = mx + b

in this case m = 2 and b = 1 so
equation
y =2x + 1

hope this helps
4 0
3 years ago
Read 2 more answers
Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of p
Lana71 [14]

Answer:

the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:

3 0
3 years ago
Read 2 more answers
To evaluate whether a new fertilizer improves plant growth more than the old fertilizer, the fertilizer developer gives some pla
olga2289 [7]

Answer:

B) Experiment: you imposed a treatment (new fertilizer on some plants, old on others) to determine its effect.

Step-by-step explanation:

In this situation, the fertilizer developer wants to evaluate a hypothesis, not just observe, by subjecting plants to two different treatments (new and old fertilizer) in order to determine which treatment provides a more desirable effect (more plant growth).

This process configures an experiment.

The answer is alternative B)

6 0
3 years ago
Other questions:
  • Are my answers correct? Precalculus!!
    5·1 answer
  • Please help asap 25 pts
    9·2 answers
  • Can someone help please
    9·1 answer
  • X+y=3 &amp; 8x+y=4 elimination need help
    13·1 answer
  • Mrs. Hanley shopping for school supplies for her children she picks up five folders and three notebooks for their classes and tw
    14·1 answer
  • Which form of a quadratic equation is best for finding the y-intercept
    7·1 answer
  • What is the image of (0, 1) after a reflection over the line y = x?
    10·1 answer
  • Find the exact length of the third side.<br> 82<br> 18
    9·1 answer
  • Jared can read 8 pages in 15 minutes. A this rate, how many pages can he read in 45 minutes?
    11·2 answers
  • Find the density of an object that has a volume of 20 cm3 and a mass of 56g
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!