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
Bad White [126]
3 years ago
12

Catelyn has 2 summer jobs. Each week, she works at least 15 hours at a pet store and at least 6 hours as a nanny. She earns $10/

hour at the pet store and $8/hour as a nanny. Catelyn wants to work no more than 30 hours and earn at least $250/week. Let x represent the number of hours Catelyn works at the pet shop in one week and y represent the number of hours she works as nanny in one week. Write an inequalities that model the four constraints in this situation.
Mathematics
1 answer:
shusha [124]3 years ago
6 0
The answers are as follows:
x ≥ 15
y ≥ 6
x + y ≤ 30
10x + 8y ≥ 250

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

<span> </span>

You might be interested in
Simplify. x^2-3x-18/x+3
andre [41]

Answer:

1. Option C is correct

2. Option A is correct

3. Option C is correct

4. Option B is correct

5. Option D is correct

Step-by-step explanation:

1. x^2-3x-18/x+3

Factorize the numerator

x^2-6x+3x-18/x+3

x(x-6)+3(x-6)/x+3

(x+3)(x-6)/x+3

x-6

x-6 where x≠6

Option C is correct.

2. x-2/x^2+4x-12

Factorizing the denominator

x-2/x^2+6x-2x-12

x-2/x(x+6)-2(x+6)

x-2/(x-2)(x+6)

1/x+6

1/x+6 where x≠-6

Option A is correct.

3. 5x^3/7 x^3+x^4

5x^3/7x^3+x^4

5x^3/x^3(7+x)

5/7+x

Option C is correct

5/7+x where x≠-7

4. Simplify x/6x-x^2

x/6x-x^2

x/x(6-x)

1/6-x

Option B is correct

1/6-x where x≠6

5. 2/3a * 2/a^2

Multiplying both terms

4/3a^3

Option D is correct.

4/3a^3 where a≠0

7 0
3 years ago
Which sequence are geometric? Check all that apply
Ann [662]

Answer:

<h2>10, 7.5, 5.625, 4.21875, ...</h2><h2>160, 40, 10, 2.5, ...</h2><h2>20, 70, 245, 857.5, ...</h2><h2>5, 5.5, 6.05, 6.655, ...</h2>

Step-by-step explanation:

\text{If}\ a,\ b,\ c,\ d,\ e,\ ...\ \text{is a geometric sequence, then}\ \dfrac{b}{a}=\dfrac{c}{b}=\dfrac{d}{c}=\dfrac{e}{d}=....\\\\\#1\\\\\dfrac{7.5}{10}=0.75\\\dfrac{5.625}{7.5}=0.75\\\dfrac{4.21875}{5.625}=0.75\\\boxed{YES}\\================================\\

\#2\\\\\dfrac{40}{160}=\dfrac{1}{4}\\\dfrac{10}{40}=\dfrac{1}{4}\\\dfrac{2.5}{10}=\dfrac{1}{4}\\\boxed{YES}\\================================\\

\#3\\\\\dfrac{70}{20}=3.5\\\dfrac{245}{70}=3.5\\\dfrac{857.5}{245}=3.5\\\boxed{YES}\\================================\\

\#4\\\\\dfrac{16.5}{13}=\dfrac{165}{130}=\dfrac{33}{26}\\\dfrac{20}{16.5}=\dfrac{200}{165}=\dfrac{40}{33}\neq\dfrac{33}{26}\\\boxed{NO}\\================================\\

\#5\\\\\dfrac{5.5}{5}=1.1\\\dfrac{6.05}{5.5}=1.1\\\dfrac{6.655}{6.05}=1.1\\\boxed{YES}\\================================\\

\#6\\\\\dfrac{17.1}{16}=1.06875\\\dfrac{18.2}{17.1}=1.0643274..\neq1.06875\\\boxed{NO}

5 0
3 years ago
2. After the relay race, Larry, Curly, and Moe went to the
jarptica [38.1K]

Using proportions, it is found that each of the 6 people got $0.5.

<h3>Proportions:</h3>
  • This question is solved by <em>proportions</em>, using a rule of three.
  • $3.00 is shared between 6 people, which are Larry, Curly, Moe, Alvin, Simon and Theodore. How much did each people(1 person) get?

The <em>rule of three</em> is:

$3.00 - 6 people

$x - 1 person

Applying cross multiplication:

6x = 3

x = \frac{3}{6}

x = 0.5

Each of the 6 people got $0.5.

To learn more about proportions, you can take a look at brainly.com/question/24372153

7 0
2 years ago
The Slope of a Line
Klio2033 [76]

Answer:

m = -3

Step-by-step explanation:

Slope Formula: m = \frac{y2-y1}{x2-x1}

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

5 0
3 years ago
Solve: |v + 8| − 5 = 2
AveGali [126]

Answer:

v¹= -15, v²= -1

Step-by-step explanation:

there's 2 solutions to this

3 0
3 years ago
Read 2 more answers
Other questions:
  • -2(4-3x)-6x=10 whats the value of x
    5·1 answer
  • Which of the following statements is NOT true regarding an expression written in scientific notation in teh form of a x 10^n?
    11·2 answers
  • Express 0.92 as a percent​
    7·2 answers
  • If the monthly cost for 23 HCF is <br> $48.31 , what is the monthly cost for 18 HCF?
    6·1 answer
  • What is the area of the figure below?<br><br> 45 in^2<br> 90 in^2<br> 135 in^2<br> 180 in ^2
    10·2 answers
  • Beverly moved into an apartment close to her new job. She will be paying $1,800 per month in rent and expects a 3% rent increase
    9·1 answer
  • I really need help with my take home test. The problem is f(x)=(x-7)/2, what is the value of (f°f^-1)(3). Really struggled with
    15·2 answers
  • Suzi starts her hike at 220 feet below sea level. When she reaches the end of the hike, she is still below sea
    10·1 answer
  • If a rectangle is continuously rotated around one of its sides, what is the 3D figure it forms?​
    14·1 answer
  • Anwar bought 5 books for rupees 25 and Deepak bought 8 books for Rs 240 who bought the books at a lower price
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!