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
shusha [124]
3 years ago
8

Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x

hours. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer:

equation = 590 + 15x = 545 + 20x

No. of hours worked = 9

Step-by-step explanation:

Given that both worked for same number of hours

and

Jeremy worked for for x hours

it meant that Hector also worked for x hours(it is also mentioned same in the problem)

now that we know the number of hours worked in form of x

lets find

total money in their account if they worked for x hours

___________________________________________

For Hector

Money in Hector's account = $590

Earning for Hector in 1 hour = $15

Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x

Total money in with Hector after x hours of work

 = Money in Hector's account + Earning for Hector in x hour = $590 + $15x

Similarly

For Jeremy

Money in Jeremys account = $545

Earning for Jeremy in 1 hour = $20

Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x

Total money in with Jeremy after x hours of work

 = Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x

Given that they same amount of money

thus

$590 + $15x = $545 + $20x

$sign gets cancelled from both sides

590 + 15x = 545 + 20x  Thus, we got the required equation  

=> 590 - 545 = 20x - 15x

=> 45 = 5x

=> x = 45/5 = 9

Thus, both of them worked for 9 hours

You might be interested in
Y=-x+4 <br>y=x-4<br>the picture gives instructions<br>​
Soloha48 [4]

Answer:

This equation has <u>No Solutions. </u>

Step-by-step explanation:

It is parrel because it has the same x. When equations have the same x it is always parrel or it always has no solutions.

<em>I hope it helps! Have a great day!</em>

<em>Lilac~ </em>

8 0
2 years ago
Read 2 more answers
Please help!! i will help you back!!
NeX [460]

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2}  \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50

7 0
3 years ago
(08.04 MC) Christina bought a yoyo from a company that claims that, with each retraction, the string rolls up by 70% of the orig
egoroff_w [7]
Here is the answer to the given problem. So, what Christina wants to find out is the sum of the length after 10 throws given that in each throw, it retracts 70% of the original length. So to continue the given data, here are the results:
4: 1.029
5: 0.7203
6: 0.50421
7: 0.352947
8: 0.2470629
9: 0.17294403
10: 0.12106082
Since she wants to find the sum of the length after 10 throws, we are just going to add the lengths above. So the answer would be this:  9.71752475. To round this off to the nearest hundredth, the answer would be 9.72. Hope this helps.
6 0
3 years ago
Read 2 more answers
line y = x + 2 will be graft on the same coordinate plane to create a system of equations. what is the solution to the system of
nata0808 [166]

Answer:

Step-by-step explanation:

it’s going to be (4,-2)

4 0
2 years ago
Given a+b=7 and a-b=3, find the following<br><br> 3^a÷3^b
gulaghasi [49]

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

3 0
2 years ago
Other questions:
  • Is the following statement true or false? Perpendicular lines do not intersect.<br> true or false?
    6·2 answers
  • Solve the quadratic equation by completing the square. ATTACHED BELOW!!!!!!NEED HELP FAST!!!!!!!!!!!!!
    6·2 answers
  • Please help with this! I will mark you as brainliest!
    15·2 answers
  • Paul's company rents cars to people who are at least 25 years old. Which graph best represents the possible ages of people who c
    7·2 answers
  • A line passes through the point (-2, 7) and has a slope of -5.
    10·1 answer
  • Leeann wants to buy a new tablet that costs $500. She has already saved 25% of the money. How much additional money does Leeann
    14·1 answer
  • Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dr
    12·1 answer
  • What equation, in point-slope form, matches the graphed line shown?
    10·2 answers
  • If 25% = 27 what is 100% =
    13·1 answer
  • Calculate the pressure if the area is<br> 10cm² and the force is 420N
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!