Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.

Answers

Answer 1

Answer:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

Answer 2

Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.

First, we need to create a model for the work done and how much she earned.

Total earnings = $136.75

Total hours worked = 16 hours

Let hours worked at the restaurant = x

Let hours worked at the store = (16-x)

Hourly rate at restaurant = $10.50

Hourly rate at store = $4.25

The model is therefore in the form;

$10.50(x) + $4.25(16-x) = $136.75

To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.

Therefore;

10.50x + 68 - 4.25x = 136.75

6.25x = 68.75

x = 11

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.

Read more:

https://brainly.com/question/24392720


Related Questions

Sales of video games and consoles fell from $1.15 million to $1.03 million in 1 year. Find the percent decrease.

Answers

Answer:100 times 7

Step-by-step explanation: because

Can you help with the 2 that are not correct?

Answers

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?

Answers

Answer:

Whats a kayak?

Step-by-step explanation:

lol suisitctftf ysyajwnw yakahad gwhnqga

Answers

im not sure what this is, or how to answer it

Use the distributive property to remove the parentheses.
9(6-v)

Answers

Answer:

[tex]54-9v[/tex]

Step-by-step explanation:

To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.

[tex]9(6-v) = 9(6) +9(-v)[/tex]

[tex]=54-9v[/tex]

Hope this helps :)

if i have 1000 dollars and lose 1000 dollars how much do i have left 100 points

Answers

The mathematical answer would happen to be... 0

Answer:

0

Step-by-step explanation:

It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?

Answers

Probability of students having their own vehicle

= 2/10

= 1/5

Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?

Answers

Answer:

2/11

Step-by-step explanation:

thats the probability

Answer:

2/11

Step-by-step explanation:

the process of finding factors​

Answers

Finding a factor meaning figuring variables that contribute to that value. For example: 10 the factors are 1,2,5,10 (1x10),(2x5),(5x2). Another example is 20 it’s factors are 1,2,4,5,20 (1x20),(2x10),(4x5),(5x4),(20x1)

What is the domain of the relation?
✔ -4<=x<=6

What is the range of the relation?
✔ -4<=y<=4

Is the relation a function?
✔ yes


here are all the answers

Answers

Answer:

thx for ur help

Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II

Answers

Answer:

The total number of weeks Michelle needs to save is 29.

Step-by-step explanation:

Michelle plans to save $1185 in a number of weeks to determine later.

In the first 7 weeks, she will save $45 each week for a total of

$45 * 7 = $315

In the next 8 weeks, she will save $30 each week for a total of:

$30 * 8 = $240

During these 15 weeks, she has saved

$315 + $240 = $555

She still has a remaining $1185 - $555 = $630 to save.

Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:

$630 / $45 = 14 weeks

Total weeks = 15 + 14 = 29

The total number of weeks Michelle needs to save is 29.

What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)

Answers

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

What are trigonometric functions?

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

To know more about Trigonometric Function on:

https://brainly.com/question/15768633

#SPJ2

For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of students who are right-handed.

Answers

Answer:

There are 24 right handed students

Step-by-step explanation:

This is a ratio question so it would be represented as 1:4.

First you would do 1 + 4 which is 5.

Then do 30 ÷ 5 which is 6.

Finally multiply 6 by 4 and 1.

So 6 × 4 × 1 is 24.

So there are 24 students who are right handed.

Hope this makes sense!

find the area of a circle that has a radius of 7/10 cm. use 22/7 for pi

Answers

Answer:

77/50 ≈ 1.54

Step-by-step explanation:

A=πr²

A = (22/7)(7/10)²

A = 77/50

A ≈ 1.54

PLEASE MARK IT AS BRAINLIEST

The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?

Answers

Perimeter = 2x length + 2x width.

2(2x+3) + 2(x-5) = 44

Simplify:

4x + 6 +2x -10 = 44

Combine like terms:

6x -4 = 44

Add 4 to both sides:

6x = 48

Divide both sides by 6:

X = 8

Now replace x with 8 in the equation for length:

2x + 3 = 2(8) +3 = 16 + 3 = 19 cm

Length = 19 cm

Find the area of the shape shown below

Answers

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

area = 1/2h(sum of bases)

area = 1/2x3(3+9)

area = 1/2 of 36

area = 18

Mr. Abdullah’s new car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons

Answers

Answer:

280

Step-by-step explanation:

Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?

Answers

Answer:

100$ per month

Step-by-step explanation:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

Answers

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

Please Help me with this​

Answers

Answer:

16X^2 - 8x

Step-by-step explanation:

A = L x W

L = x + 5 + 3x + 4x - 9 = 8x - 4

W = 2x

(8x - 4) (2x) = 16x^2 - 8x

Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?

Answers

Answer:

1359.24

plz mark brainly

Step-by-step explanation:

If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?

Answers

Answer: 12 years old

Step-by-step explanation:

10,11,12,12,13,13,14

The middle in these numbers is 12

Solve for X.
8=5
X 9

Answers

Answer: x = 14.4

Step-by-step explanation:

Answer:

x = 14.4

Step-by-step explanation:

8/x = 5/9     just cross multiply

5x = 8(9)

x = 72/5     divide 5 both sides

x = 14.4

anybody understand this ? please help me .

Answers

Answer:its a or b

Step-by-step explanatio

Answer:

The answer is (2)

Step-by-step explanation:

We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].

Solve -3(5x-9) please

Answers

Answer:

12

Step-by-step explanation:

There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students

Answers

Answer:

28

Step-by-step explanation:

If 50% of students are boys that means there are 30 boys and 30 girls. Then if   30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.

Convert 86 to base 5.

Answers

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

How to convert any number into base 10?

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]

86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)

Since we need to go down to up to 321₅ will be the correct answer.

For more information about decimal to base 5

https://brainly.com/question/17247748

#SPJ5

find if the series converges conditionally, converges absolutely, or diverges ∑k=1 ∞ (k^2k 3^k)/k!

Answers

Answer:

Diverges

Step-by-step explanation:

Using the ratio test to test the series:

After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest ​

Answers

Answer: 13,668 i think.

Find the Surface Area:
Of the picture below


6cm
3 cm
3 cm
2 cm

Answers

Answer:

72 cm^2 OR 72 sq cm.

Step-by-step explanation:

6 x 5 = 30

10 x 3 = 30

2 x 6 = 12

30 + 30 + 12 = 72

Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.

Other Questions
The Constitution of India was drawn up under very difficult circumstances . Explain.Shankar, Gita, Shyam and Manohar have their own handloom carpet weaving 3 factory in a village. Each member contributes towards the number of carpets woven in a year. The factory produces 50 carpets annually. Manohar leaves forthe city and he finds a job. The output of carpets woven in the year remains unchanged despites Manohars departure and no other changes being made in the factory.A. Why does the output of carpets remain constant, despite Manohars departure?B. Is it a waste of human resource to employ more than the required number of people?C. Identifythesectoroftheiremployment 7. Which of the following illustrates the commutative property of multiplication?(1) 5(2x) =(5-2)x(2) 4(2x+5) = 4 - 2x+4-5(3) x2 +5=5+x2(4) 2x -3x = 2-3-X-Xshow work pleasee Which set of dates is in correct chronological (time) order? a400 CE, 300 CE, 100 BCE, 200 BCE b400 BCE, 300 BCE, 100 CE, 200 BCE c300 BCE, 200 BCE, 100 CE, 400 CE 6. Classify each compound as ionic or molecular based on its properties.Substance Melting Point Solubility Conductivity Classification1 -55 oC poor poor 2 396 oC good good 3 0 oC not tested poor 4 200 oC good good 5 20 oC good poor What movement took off during the first half the 19th century and became organized into a national society? schroedinger thought that electrons 3 hats and 2 scarves costs 12.5 hats and 4 scarves costs 21.Find the cost of a hat.Find the cost of a scarf i need help with chem ???????? please help! i need the answers asap!!! 10 points!!!!! Multiple Choice Knowing the number of species in existence assists scientists in determining the species that are in danger of extinction. O True O False In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score? We have seen the state of our union in the endurance of rescuers working past exhaustion. We've seen the unfurling of flags, the lighting of candles, the giving of blood, the saying of prayers in English, Hebrew and Arabic. We have seen the decency of a loving and giving people who have made the grief of strangers their own. My fellow citizens, for the last nine days, the entire world has seen for itself the state of our union, and it is strong.Which option best describes the type of argument used by President George W. Bush in this excerpt from a speech given after the terrorist attacks of September 11, 2001?A. An argument of ethics, showing how innocent citizens have been treated unfairlyB. A cause-and-effect argument that shows how expressing grief helps people overcome challengesC. An analogy that compares the strength of the union to individual acts of patriotismD. An argument by authority based on his position as president of the United StatesIF YOU GIVE RIGHT ANSWER I WILL MARK YOU BRAINLIEST!!!!!!!!! What is the interview subject in an interview?The person who is being interviewedthe location of the interviewO the person who is interviewingthe topic of discussion The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5what is the fourth number? 1.In what ways do modern satires, including political cartoons, use many of the same techniques Swift used in A Modest Proposal? 2.what changes in this target might Swift hope to produce?3.Why do you think Swift uses economic and mathematical terms such as calculate, commodity, subtract, and computed with such frequency? PQ is equal to RQ so b=? HELP QUICK I NEED TO TURN IT IN IN 30 mins After cooking the hot dogs, your friend's mom reminds you not to leave the grill out, or the iron (Fe) in the grill will react with oxygen (O2) in the air to produce rust (Fe2O3). a. Write a balanced equation for this reaction. Be sure to show your work. Calculate and express your answer in decimal form.121734200(0.2)40(0.25)60 You start at (4, -4). You move left 4 units and right 4 units. Where do you end?