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
olasank [31]
3 years ago
6

HELP!! Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Togeth

er they charged a total of 2375. What was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour?
Mathematics
2 answers:
joja [24]3 years ago
7 0

Answer:

  • first mechanic: $105/hour
  • second mechanic: $55/hour

Step-by-step explanation:

Let r represent the rate charged by the first mechanic. Then 160-r is the rate charged by the second mechanic. The total of charges is ...

  20r +5(160-r) = 2375

  15r +800 = 2375 . . . . . . eliminate parentheses

  15r = 1575 . . . . . . . . . . . . subtract 800

  r = 105 . . . . . . . . . . . . . . . divide by 15. First mechanic's rate.

  160-r = 55 . . . . . Second mechanic's rate

The first mechanic charged $105 per hour; the second, $55 per hour.

marissa [1.9K]3 years ago
7 0

Answer: the rate charged per hour by the first mechanic is 105 per hour.

the rate charged per hour by the second mechanic is 55 per hour.

Step-by-step explanation:

Let x represent the rate charged per hour by the first mechanic.

Let y represent the rate charged per hour by the second mechanic.

The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2375. This means that

20x + 5y = 2375 - - - - - - - - - - -1

if the sum of the two rates was 160 per hour, it means that

x + y = 160

Substituting x = 160 - y into equation 1, it becomes.

20(160 - y) + 5y = 2375

3200 - 20y + 5y = 2375

- 20y + 5y = 2375 - 3200

- 15y = - 825

y = - 825/ - 15

y = 55

x = 160 - y = 160 - 55

x = 105

You might be interested in
Relate a vertical line test to understanding functions.
SpyIntel [72]

Answer:

B or the third option you put.

Step-by-step explanation:

8 0
3 years ago
503 and 2/3 as a decimal
dimaraw [331]
503 2/3 = 503.66 <== ur decimal


7 0
3 years ago
The high temperature was 92 degrees. This was 24 degrees higher than the overnight low temperature. Write an equation to determi
Romashka-Z-Leto [24]
L = H - 24
L = low temperature.
H = High Temperature = 92 degrees
L = 92 - 24
L = 68
8 0
3 years ago
Read 2 more answers
Wich is greater 8kg or 30 oz
Anna11 [10]
8kg, Because 8kg in oz is 282
5 0
3 years ago
Read 2 more answers
Segments 2) Use the following picture
alisha [4.7K]
The answer is AB= 52, because x=15
5 0
3 years ago
Other questions:
  • 2. rate of change definition ​
    12·2 answers
  • What is the solution to the equation 5a^2 - 44 = 81
    9·2 answers
  • Find the unit rate with the second given unit in the denominator.
    11·1 answer
  • Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 138 to 190 cm and
    5·1 answer
  • Find the volume of the cone 4 in and 6 in
    12·1 answer
  • The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?
    8·2 answers
  • Ill give brainest i need help please
    7·2 answers
  • A is at (10,-2) and B is at (1,-11).<br> P is at (3, y) and PA = PB.<br> Find the value of y.
    10·1 answer
  • What is 8 and 4/25 and as a mixed fraction or mixed number.
    9·1 answer
  • Rise over run algebra one help please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!