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
elena55 [62]
3 years ago
7

Working her way through school, Julie works two part-time jobs for a total of 35 hours a week. Job A pays $6.10 per hour, and Jo

b B pays $7.40 per hour. How many hours did she work at each job the week that she made $235.60? (Round to two decimal places if necessary.)
Mathematics
2 answers:
geniusboy [140]3 years ago
6 0

Answer:

<u>Julie worked 18 hours at Job A and 17 hours at Job B.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Rate per hour at Job A = US$ 6.10

Rate per hour at Job B = US$$ 7.40

Hours at Job A = x

Hours at Job B = 35 - x

Total of hours worked by Julie = 35 hours

Total weekly earnings = US$ 235.60

2. How many hours did she work at each job the week that she made $235.60?

For finding the result, we will use the following formula:

6.10x + 7.4 (35 - x) = 235.60

6.10x + 259 - 7.4x = 235.60

-1.3x = 235.60 - 259 (Subtracting 259 to both sides)

-1.3x = - 23.40

x = -23.4/-1.3 (Dividing by -1.3)

x = 18

<u>Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.</u>

3. Proof that x = 18 is correct.

6.10x + 7.4 (35 - x) = 235.60

6.10 (18) + 7.4 (35 - 18) = 235.60

109.80 + 125.80 = 235.60

<u>235.60 = 235.60</u>

<u>It's proven that x = 18 is correct.</u>

Alika [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Let x represent the number of hours worked at Job A and 35-x represent the number of hours worked at Job B.

($6.10 × x) +$7.40 × (35-x) =$235.60

Solving for x

$6.10x + $259 - $7.40x = $235.60

Collect like terms and solve for x

$6.10x-$7.40x=$235.60-$259

-$1.3x=-$23.4

x=18hours for Job A while 35-x=17hours for Job B

You might be interested in
Joe's Painting charges $100 plus $20 per hour to paint the exterior of your home. Steve's Painting charges $120 plus $15 per hou
Tanzania [10]

Joe's Painting: 20x + 100 = y

Steve's Painting: 15x + 120 = y

x = hours worked

y = total income

We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

20x + 100 = 15x + 120

First, we have to move the 100 by subtracting it from both sides.

20x = 15x + 120 - (100)

20x = 15x + 20

Then, we need to move the 15x by subtracting it from both sides.

20 - (15x) = 20

5x = 20

Lastly, we need to divide 5 from both sides.

5x = 20/5

x = 4

Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.

5 0
3 years ago
QUICKKKKKKK
Stella [2.4K]

Answer:

Steps For Solving Real World Problems

2. Highlight the important information in the problem that will help write two equations.

3. Define your variables.

4. Write two equations.

5. Use one of the methods for solving systems of equations to solve.

6. Check your answers by substituting your ordered pair into the original equations.

4 0
3 years ago
Read 2 more answers
Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross
Sunny_sXe [5.5K]

Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

b = \frac{60}{cos(30)}  = 40\cdot \sqrt{3} \ inches

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

3 0
3 years ago
The bill for lunch was $7
mafiozo [28]
Ok what is the question lol
6 0
3 years ago
Read 2 more answers
Bruce pitches for his little brother's baseball team. He has observed that the number of pitches a batter hits varies and is giv
liberstina [14]
Hello!

If Bruce observes that the number of pitches a batter hits varies and is given by the function f(x)=x-11, and the batters get {4, 12, 14, 27, 42}, then Bruce threw {15, 23, 25, 38, 53} pitches. We get this solution set by adding 11 to each element in the set {4, 12, 14, 27, 42}. 
Have a nice day
6 0
3 years ago
Other questions:
  • 31.
    15·1 answer
  • Find the quotient for 4.8÷120
    10·2 answers
  • the students in Mr. hardings gym class went on a class ski trip. Each student paid $25 and the school paid a total of $300. Alto
    14·2 answers
  • Find the unit rate. 297 words in 5.5 minutes The unit rate is words per minute.
    6·2 answers
  • Which character thought he was back in the Bastille and fretted over his boots?
    11·1 answer
  • Pls help me do this
    11·1 answer
  • Please help!!!———————-
    12·1 answer
  • Hiya how r u <br> Plz answer this question and explain<br> ☃️
    9·1 answer
  • Find the y-intercept and interpret it.
    10·1 answer
  • What is the value of 7 in the number 21,780​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!