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
Kazeer [188]
3 years ago
13

Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of ca

rs. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:

6.16 hours

Step-by-step explanation:

Let the number of hours that washed the car together = T

Number of hours Matthew washed = m = 14 hours

Number of hours Arianna washed = a = 11 hours

The formula to calculate how many they wash the cars together is given as

1/a + 1/m = 1/T

1/14 + 1/11 = 1/T

Lowest Common Denominator = 154

Hence:

(11 + 14)/154 = 1/T

25/154 = 1/T

Cross Multiply

154 × 1 = 25 × T

T = 154/25

T = 6.16 hours

Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together

You might be interested in
What is the slope of the line that passes through the points (-2,5) and (3,-4) in the standard (x,y) coordinate plane
Scorpion4ik [409]

To find the slope between two coordinates, you use the formula:

m = y2 - y1/x2 - x1

If coordinate A is (-2, 5) and coordinate B is (3, -4), then:

y2 = -4

y1 = 5

x2 = 3

x1 = -2

So, just substitute the points into the formula.

m = -4 - 5/3 - (-2)

m = -9/5

The slope of the line is -9/5.

3 0
2 years ago
et mA = 40°. If B is a complement of A, and C is a supplement of B, find these measures. mB = ° mC = °
Free_Kalibri [48]

Alright, lets get started.

We have given angle A = 40°

We are also given angle B is complement of A.

Complementary angles are two angles whose sum is 90, it means

angle B = 90- A

angle B = 90 - 40

angle B = 50° Answer

Now given, angle C is supplement of angle B.

Supplementary angles are two angles whose sum is 180°.

Means angle C = 180 - B

angle C = 180 - 50

angle C = 130° : Answer

Means angle B = 50° and angle C = 130°

Hope it will help :)

5 0
3 years ago
Graph the piecewise function given below. i need help please
yawa3891 [41]

Answer:

this may help you.look it once

8 0
2 years ago
Read 2 more answers
I'm going to have a test later and i need help (p.s it show random ads just letting you know)
Sophie [7]

Answer:C

Step-by-step explanation:

8 0
3 years ago
What is 12 times the square root of 16?
Vesna [10]
The answer to this is 48
5 0
2 years ago
Other questions:
  • Which expression is a difference?
    13·2 answers
  • I need help with this question!!!
    13·1 answer
  • A prism has total surface area of 228 m^2 and volume of 216 m^3.
    15·1 answer
  • Find each angle measure to the nearest degree.<br> 15) tan C = 0.1405
    11·1 answer
  • What is the area in square centimeters of 2.4 cm and 5.8 cm
    13·1 answer
  • A garden snail travels on rate of 2.6 feet per minute at this rate how long will it take for the snow to travel 65 ft
    11·1 answer
  • Solve 0=2y−8x+10 for y
    7·1 answer
  • What is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5​
    13·2 answers
  • Help me and ily :))))
    10·2 answers
  • Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!