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 hours 10 minutes

Step-by-step explanation:

Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hourArianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hour

Together they can wash in 1 hour:

1/14 + 1/11 = 25/154

Time needed to wash all the cars:

154/25 = 6.16 hours ≈ 6 hours 10 minutes


Related Questions

which number line shows the solution to the inequality -2x-3> -11

Answers

The solution to the inequality is x is less than 4.

What is inequility ?

An inequality is a mathematical statement that expresses a relationship between two values or expressions that are not necessarily equal. Inequalities are often used in mathematics to compare values, express constraints or limitations, and solve problems involving ranges of values.

To solve the inequality -2x - 3 > -11, we can start by isolating the variable x.

-2x - 3 > -11

Add 3 to both sides:

-2x > -8

Divide both sides by -2 (and flip the inequality because we're dividing by a negative number):

x < 4

So the solution to the inequality is x is less than 4.

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Find the slope of the line that goes through the points:


(-1, 8) and (5, 3)

Answers

Answer:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

y2=3

y1=8

x2=5

x1=(-1)

3-8/5-(-1)

3-8=(-5)

5-(-1)=5+1=6

M=-5/6

The slope is m=-5/6.

PLEASE HELP ILL GIVE U LOADS OF POINTS!!! PLEASE

Answers

Answer:

Radius of P = 5 cm

Step-by-step explanation:

Radius (r) of Q = 20 cm

Area of Q = 4 × Area of P

This means that:

Area of the quarter circle (Q) = 4 × Area of the circle (P)

Thus:

¼(πr²) = 4 × πr²

Plug in the values into the equation

¼(π*20²) = 4 × πr²

Find the value of r, which is the radius of P

¼(400π) = 4πr²

Multiply both sides by 4

400π = 4πr²*4

400π = 16πr²

Divide both sides by 16π

400π/16π = r²

25 = r²

Take the square root of both sides

√25 = √r²

5 = r

r = 5

Therefore, the radius of P = 5 cm

plot - 0.6 on the virtual number line

Answers

Answer:

on the second line below zero

Step-by-step explanation:

It’s a negative 0.6 right?

Answer:

-0.6 would be the third line down

Step-by-step explanation:

If you're counting down from 0 go by -0.2

-0.2

-0.4

-0.6

A triangle has sides measuring 15 centimeters, 18 centimeters and 15 centimeters. What kind of triangle is it?

Answers

Answer:

v fggfbfgbfgbgbfgb

Step-by-step explanation:fgfgbgfbfg

Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer.

Answers

Answer:

x = 17.1°

Step-by-step explanation:

tan x = 4/13 = 0.3077

x = 17.1°

The measure of the angle θ from the given triangle is 17.9°.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, AC=13 and BC=4 units.

We know that, sinθ=Opposite/Hypotenuse

sinθ= 4/13

sinθ= 0.3076

θ=17.9°

Therefore, the measure of the angle θ from the given triangle is 17.9°.

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finding area of circle with radius , giving brainliest :)) pls help asap

Answers

Answer:

number 2 is the answer or 4*pi inches² or 12.6

Step-by-step explanation:

42 - x = 58
Simplify this plz ASAP

Answers

Answer:

x = 16

Step-by-step explanation:

please mark this answer as brainlest

Answer:

42-x=58

-x=58-42

x=-58+42

x=-16

YPU DONT NEED TO SOLVE

Answers

YOU DO NOT NEED TO SOLVE AS SEEN IN THE PROBLEM ON THE PAPER

Answer:

x=6

Step-by-step explanation:

x=21+15

 -21   -21

x=6

6 grade math pls help

Answers

answer

measure of o is 75

and n is same as o as the sides are same

hope this helps you

360 degrees to the left

last year, a dvd store sold 670 actions dvds, 580 comedy dvds, 450 drama dvds, and 300 horror dvds. if a media buyer expects to sell 5000 dvds this year, based on these results predict how many comedy dvds she should buy

Answers

Answer:

c

Step-by-step explanation:

Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Answers

Answer:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Step-by-step explanation:

A density curve is a graph that shows probability.

There are a few properties that those curves have:

The curves are normalized, which means that the area inside the curve is always equal to 1  (or the 100% of possibilities).

And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.

From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).

Now let's look at graph B.

We can see that all points are above the horizontal axis, so that is good.

Now let's compute the area inside the curve.

We can see two triangles, remember that the area of a triangle of base b and height h is:

A = (b*h)/2

To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.

The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25

Then the area is:

A1 = (2*0.25)/2 = 0.25

The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25

Then the area of this triangle is:

A2 = (6*0.25)/2 = 0.75

If add these areas, we get:

Total area = A1 + A2 = 0.25 + 0.75 = 1

Total area = 1

So we have an area under the curve equal to 1, which means that graph B is a valid density curve.

And the correct option is then:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

The low temperature at 6:45 A.M. was −22°F. At 3:15 P.M. the temperature was 5°F. What was the range of temperature for the day? A −27°F B −17°F C 17°F D 27°F

Answers

Answer:

D

Step-by-step explanation:

-22°F+27°F=5°F

have a nice day or evening

Answer:

D

Step-by-step explanation:

I took the test

The median for the 5 numbers 2647, 1956, 2250, 2141, and x is 2141. What is the largest possible value for the number x?

Answers

Answer:

2140

Step-by-step explanation:

Median can be described as the number that lies in the middle of a set of arranged observations. the observations can be arranged in ascending or descending order

in a set of 5 numbers, the median would be the 3rd number

the median is 2141. there was to be 2 numbers before and after 2141

1956, x 2141, 2250, 2647

the largest possible value of x is 2140. this is the largest number that is less than 2140

Which is equal to 2√2 ? Select all that apply.
A. sin 30°
B. sin 45°
C. cos 45°
D. cos 60°
E. tan 30°
F. tan 45°

Answers

Answer:

B and C

Step-by-step explanation:

Sin 45 or Cosine 45.

The trigonometric ratios that Garret could use to describe the relationship between these two sides are sin 30°and  cos 60°.

What are Trigonometric Ratios?

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

here, we have,

Given that,

Garret makes a ramp for his skateboard in the shape of a right triangle.

Also given that,

length of the hypotenuse = 2 feet

Length of a leg = 1 feet

Using Pythagoras theorem,

Length of other leg = √(2² - 1²) = √3

45°-45°-90° triangle ratio is 1 : 1 : √2.

30°-60°-90° triangle ratio is 1 : √3 : 2.

Given triangle has the side ratio 1 : √3 : 2. So this is a 30°-60°-90° triangle.

The trigonometric ratio used must include the hypotenuse.

So sin and cos can only be used.

Hence the trigonometric ratios used are sin 30°and  cos 60°.

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Complete question:

Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants to use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.

A. sin 30°

B. cos 45°

C. tan 30°

D. sin 45°

E. cos 60°

F. tan 45°

An encyclopedia entry is selected at random; word in that entry is selected at random


Dependent events
Independent events​

Answers

Answer:

Independent events i believe

Step-by-step explanation:

If 20 machines produce 1,240 printers in a day,
how many more machines are needed to produce
1,984 printers in a day?

Answers

Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

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I2. How many teachers are there in your school? How many male teachers and female

teachers are there?

I) Write the ratio of male teachers to the female teachers.

ii) Write the ratio of male teachers to the total number of teachers.

iii) Write the ratio of total of teachers to the female teachers.v​

Answers

There are 42 teachers 30 male 12 female. 30:12.  male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12

                                     

Simplify (-12x+(-13))-(10x+(-12))

Answers

Answer:

-22x - 1

Step-by-step explanation:

(-12x+(-13)) - (10x+(-12))        

(-12x-13) - (10x-12)           Take away the plus sign since addition of a negative is            the same as subtraction.

(-12x-10x) + (-13+12)          Put like terms together.

-22x - 1                             Simplify

Answer:the answer is -22x-1 hope that helps

Step-by-step explanation:

Form and solve an equation for .
5x - 7
23

Answers

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

how do i solve this question

Answers

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18


Christais attending the county fair that charges a $12 entry fee. The entry fee includes 10 free rides, but any additional rides cost $1.50 each.
Write a function that models Christa's county fair expenses, cr), when she rides ""rides.

Answers

Answer:

he saves 3 dollars. its not worth it.

Step-by-step explanation:

you divide 12 by ten getting you 1.2 which you subtract from 1.50 that then multiply that by 10

please help and hurry please

Answers

Answer:

4 quarts = 1 gallon

Step-by-step explanation:

Hope that hleps

1 quart = 1/4 gallon

Multiply the number of quarts by 4 to find the number of gallons.

PLEASE HELP I HAVE NO IDEA WHAT TO DO!!!

Answers

Answer: multiply and round I'm pretty sure tell me if u want me to multiply for u

Step-by-step explanation:

Mr. Green used a wood chipper to produce 640 pounds of mulch for his yard. What is the weight, in ounces, for the mulch which he produced? *

Answers

Answer:

Answer: 10240

Step-by-step explanation:

640 x 16 = 10240

1 Pound = 16 Ounces

If n = 3, what is the value of 6n – 3?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6×3−3

Multiply 6 and 3 to get 18.

18−3

Subtract 3 from 18 to get 15.

15

Lily has at most $75 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. If each t-shirt costs $9, what inequality represents the maximum amount of t-shirts she could buy?

Answers

Answer:

The inequality represents the maximum amount of t-shirts she could buy is:

30x+9y≤75

Step-by-step explanation:

With the information provided, you can say that the result of adding up the price per jean for the number of jeans plus the price per shirt for the number of shirts has to be less than or equal to 75, which can be represented as:

30x+9y≤75, where

x is he number of jeans purchased

y is he number of shirts purchased

James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and b is 6. The product of a and c is -4. The product of b and c is -6.

Answers

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

[tex]ab=6[/tex]        ...(i)

[tex]ac=-4[/tex]       ...(ii)

[tex]bc=-6[/tex]      ...(iii)

From (ii), we get

[tex]a=-\dfrsc{4}{c}[/tex]          ...(iv)

From (iii), we get

[tex]b=-\dfrsc{6}{c}[/tex]         ...(v)

Putting [tex]a=-\dfrsc{4}{c}[/tex]  and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get

[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]

[tex]\dfrac{24}{c^2}=6[/tex]

[tex]\dfrac{24}{6}=c^2[/tex]

[tex]4=c^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{4}=c[/tex]

[tex]\pm 2=c[/tex]

It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].

Putting [tex]c=2[/tex] in (iv), we get

[tex]a=-\dfrsc{4}{2}[/tex]

[tex]a=-2[/tex]

Putting [tex]c=2[/tex] in (v), we get

[tex]b=-\dfrsc{6}{2}[/tex]

[tex]b=-3[/tex]

Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].

GIVING BRAINLIEST!!!!!!


32+4X(16 x 1/2)-2

show your work

Answers

The answer should be 62
32 + 4x (16 • 1/2) -2

Distribute 4x to the numbers inside the ( )

32 + 64x • 2x -2

Combine like terms

32 + 66x -2

30 + 66x

Isolate for the x term.

66x = -30

Divide by 66 to get your answer for x :)

Linda has $26. She wants to buy a ski pass for $80. She can earn $6 per hour to babysit.

PLEASE ANSWER THIS FOR ME PLEASEEEE I BEGG U PLEASEE

Answers

Answer:

the top answer or A. if it was labeled

Step-by-step explanation:

because my guy it is simple math

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