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

Answers

Answer 1

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

Answer 2

Answer:

below

Step-by-step explanation:

A)1 can be interpreted as the job, the project, the whole thing or all of the cars

B)rate* time = amount of work (a bit like rate*time = distance for figuring how far you go at a certain speed)

C)multiply both sides by 14 hours/1 job and simplify to get t=14hours

D) ok, now we do the 2nd fraction 1/11 we want its bottom to be 154, like: 1/14 - 11/11

E)t=154/25=t= 6.16 hours


Related Questions

A single 6 sided die is rolled which best describes the probability of rolling a number greater than 6

Answers

Answer:

0% chance

Step-by-step explanation:

if the cube is 1-6 then 6 is the highest number. there is non higher.

OFFERING 50 POINTS
Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material. These scales are used for this type of testing.

Fabric Grade Number of Double Rubs
(in thousands)
Heavy duty
Medium duty
Light duty
Delicate duty
After performing the tests on each fabric, researchers found that on average, fabric A lasted through 7,900 double rubs and fabric B lasted through 9,200 double rubs.

The marketing department wants to advertise that both fabrics are tested and approved for medium-duty use.

Which statements are true about this situation?
The sales department can refer to fabric A as a medium-duty fabric.
The sales department can refer to fabric B as a medium-duty fabric.
Fabric A is a more durable fabric because it has a lower double rub rating than fabric B.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
Neither fabric meets the requirements of a medium-duty fabric.

Answers

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

We have given that,

Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

What is the experiment?

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.

They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material.

To learn more about the experiment visit:

https://brainly.com/question/17274244

#SPJ2

Answer:

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

The sales department can refer to fabric B as a medium-duty fabric.

Step-by-step explanation:

edmentum :)

Given that (√3)^n = 3^x/27^y^1
express n in terms of x and y.​

Answers

⟰ ANSWER ⟰

U R ANS IS IN THE PIC

HOPE IT HELPS U !!!! (^_^)

Simplify the algebraic expression:

7(x + 3)20

Answers

Answer:

140x+420

Step-by-step explanation:

7(x+3)20

=140x+420

Answer:

14x+420

Step-by-step explanation:

7(x+3)(20)

=140x+420

HELP ME PLS‍♀️‼️
What rational number subset(s) do 2, 5, 7, 9, 13 belong to??

Answers

Answer:

Natural numbers , whole numbers, Integers

Natural number whole number integers

PLEASE HELP ASAP!!!!!

Answers

48 ! it says there 76 enrolled in english but there are 28 who took both so just subtract 76 - 28

Solve this for pleaseee

Answers

8x + 7 + 2x + 23 = 180
10x + 30 = 180
10x = 150
x = 15

Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
I really need the step by step so I know how to this. Thank y'all soo much <3

Answers

Add 3x + 1x which is 4x . so the equation is no 7x+4=5 + 4x now do inverse operation bring variable to one side . 7x-4x
3x + 4= 5
- 4. -4
3x = 1
_____
3. 3

X= 1/3


Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF

Answers

Area of circle = pi x r^2
= 22/7 x 40^2
= 5028.57
= 5030cm^2 (3 SF)

\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.

Answers

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?

Answers

Answer:

141.3 km

Step-by-step explanation:

First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;

Second crater radius is C = 2(pi)(30 km) = 188.4 km

The circumference of the complex (larger) impact crater is

(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:

141.3 km

The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?

Answers

Answer:

[tex]595.54[/tex]

Step-by-step explanation:

The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].

Substituting given values, we have:

[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]

what is the y intercept of this quadratic function

Answers

Answer:

the y-int is at the point (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

f(x)=x²+2x+3

x=0

f(0)=0²+2×0+3

f(0)=3

y=3

(0,3)

Please help!!! I’ll give you the Brainly mark

Answers

Answer:

4

Step-by-step explanation:

just look at the graph and find where y is -5 the correlating point is 4

A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.

Answers

15 large boxes of popcorn and 10 small boxes of popcorn. 15 x 4= 60. 10 x 1.50 = 15 60 + 15 = 75

What is the area of the kite?

Answers

Answer:

1.125 ft²

Step-by-step explanation:

Take the height and the diagonals, multiply, and then divide by 2

the area is 1. 125ft

Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help

Answers

Answer:

Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11

garlands and 4 banners

Step-by-step explanation:

I'm not really sure how I got this but it hope it helps!

4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old

Answers

Answer:

50?

Step-by-step explanation:

Answer:

The age of son is 50.THANK YOU.

Please Help!!! Need tonight! No fake links or I WILL report you!
In function graphing, if there is no amplitude change (mainly looking for tangent), what do you write? 1?

Answers

Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

I need help so yea please help

Answers

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

umm please help me it is confusing

Answers

Answer: x = 24 & x = 96

Step-by-step explanation:

Answer: Every option given is a solution

Any value larger than 18 is a solution. So we can say x > 18.

============================================================

Explanation:

To isolate x, we multiply both sides by 6 like so

3 < x/6

3*6 < x

18 < x

x > 18

In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.

---------

As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90

So,

3 < x/6

3 < 90/6 ... replace every x with 90

3 < 15

The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.

The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.

The local water slides have 72
employees, of which 25% are
temporary. How many
temporary employees are
there?

Answers

18. 72x0.25=18 there are 18 temporary employees

Answer:

18

Step-by-step explanation:

Step 1: Convert 25% to a fraction

[tex]\frac{25}{100}[/tex]

Simplify

[tex]\frac{1}{4}[/tex]

Step 2: Convert 72 to a fraction

[tex]72 = \frac{72}{1}[/tex]

Step 3: Set it up

[tex]\frac{1}{4}\times \frac{72}{1}[/tex]

Step 4: Cross divide

[tex]72 \div 4 = 18[/tex]

[tex]1 \div 1 = 1[/tex]

[tex]\frac{18}{1} = 18[/tex]

Therefore, the are 18 temporary employees in the local water slides.

Marge purchased x bicycle helmets and y tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 items and spent $176.00. How many helmets did Marge buy?

Answers

X=8 helmets
Y=10 pumps

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

Evaluate plzzz help am giving brainliest

Answers

Answer:

-4a/-8 +-12a

Step-by-step explanation:

I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think

Can someone please explain this question to me?
The image is attached.

Answers

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

You and your friends go to the state fair. It costs $6 to get into the fair
and $2 each time you go on a ride. Consider the relationship between
number of rides and total cost.

Model the equation to show the linear relationship.

Answers

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807


please help me guysss


Answers

u could ask your teacher for help but i really dk

please help me answer this

Answers

Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

PLEASE HELP!!
please show how you know!

Answers

Answer:

Second and last options are correct answers.

Step-by-step explanation:

Correct options are:

[tex] \huge \frac{(8^3)^2}{8^{-5}}= \purple {\bold {\frac{8^6}{8^{-5}}}} [/tex]

[tex]\huge \frac{(8^3)^2}{8^{-5}}= \frac{8^6}{8^{-5}}=\red{\bold {8^{11}}} [/tex]

what is 17^2-4(-3)(20) in quadratic formula ​

Answers

Answer: No solution

Step-by-step explanation: by solving the rational equation by combining expressions and isolating the variable = no solution

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