Jane works 3 times as fast as Eleanor. If they work together they can do a job in 21 minutes. How long does it take Eleanor to do the job by herself?

Answers

Answer 1

Answer:

1 hour and 24 min

Step-by-step explanation:

Jane does 3/4 job done in 21 min

Eleanor does 1/4 job done in 21 min

21*4=84

60+24

1 hour and 24 min

Answer 2

The work rate when they work together is much higher than when Eleanor

does the job herself.

It will take 84 minutes

Reasons:

Jane's work rate = 3 × Eleanor's work rate

The time it takes both Jane and Eleanor to do a job = 21 minutes

Required:

The time it would take Eleanor to do the job herself.

Solution:

Let x represent the portion of the job performed by Eleanor in the 21

minutes, we have;

The portion performed by Jane = 3 × x

Therefore;

The job done when they work together for 21 minutes = x + 3·x = 4·x

The time it takes Eleanor to do the job portion, x = 21 minutes

Therefore;

The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes

The time it would take Eleanor to do the job herself = 84 minutes

Learn more about work word problems here:

https://brainly.com/question/1376479

https://brainly.com/question/19819390


Related Questions

Which of the following exponential functions represents the graph below?

Answers

Answer:

C

Step-by-step explanation:

So you should be looking for the right function.

Remember that any number to the power of 0 is by definition 1.

3 * 1 = 3

In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.

So if you substitute x= 0 the result should be 3.

3 * 1 = 3

The two functions that comply with that, are the ones in answers B or C.

In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.

The only function that complies with that is in answer C.

Please help quickly

Answers

Answer:

2x + 3

Step-by-step explanation:

Given

(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis

= x² + 7x + 1 - x² - 5x + 2 ← collect like terms

= 2x + 3

Answer:

2x+3

Step-by-step explanation:

PLEASE HELP !!


Image attached




Answers

Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

Answer:

C = 31.4 inches

Step-by-step explanation:

To find the circumfrence

C = pixd

C =3.14x10

C = 31.4 inches

What is the y-intercept of the equation 4x + 5y = 20?
(0,4)
(0,5)
(4,0)
(5,0)

Answers

Answer:

(0,4)

Step-by-step explanation:

4x+5y=20

5y=20-4x

y=4-4/5x

y-intercept means a point on the y-axis(x=0)

y=4-4/5x

y=4-4/5(0)

y=4

Therefore, y-intercept is at (0,4)

Two sides of a triangle have lengths of 5 and 9. Which inequalities
represent the possible lengths for the third side, x? *

Answers

Answer:

4 < x < 14

Step-by-step explanation:

The third side is between the difference and the sum of the other two sides

9-5 < x < 9+5

4 < x < 14

use the data from the table to create a scatter plot. plot al the data points from the table.

Answers

Answer:

Place a point at

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Put points on

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

value of a in simplest form?

Answers

Answer:

Step-by-step explanation:

When base is same, add the powers

[tex]x^{\frac{2}{3}}*x^{\frac{1}{2}}=x^{a}\\\\x^{\frac{2}{3}+\frac{1}{2}}=x^{a}\\\\x^{\frac{4}{6}+\frac{3}{6}}=x^{a}\\\\x^{\frac{7}{6}}=x^{a}[/tex]

Compare the powers,

a = 7/6

Which is the equation of the graphed line written in standard form?


A. y=x

B. x-1/2y=0

C. x-y=0

D. y=1/2x

Answers

Answer:

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

hope this helps

A) work out (8 x 10^-3) x (2 x 10^-4). Give your answer in standard form.
B) work out (6 x 10^2) ÷ (3 x 10^-5). Give your answer in standard form.​

Answers

Step-by-step explanation:

[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

I will give the brainiest answer

Answers

Answer:

6.2857142857 or 6.29 is the circumference of the circle

Hey!!

Solution,

Radius=1

Circumference of circle=2 pi r

= 2*3.14*1

=6.28 units.

Hope it helps

Good luck on your assignment

A baseball player reaches base 7 out of 20 times. How many times can he expect to reach base in 800 at-bats? a.40 b.787 c.300 d.280

Answers

Answer: D. 280

Step-by-step explanation:

20 goes into 800 40 times

7×40=280

Hope this helps.

Answer:

I hope this helped and please mark me brainliest! :)

D. 280

Step-by-step explanation:

We can divide 800 bats by 20. That will give us 40. We then multiply 7 by 40 and we get 280.

Martina read that approximately 10% of all people are left-handed. She wants to design a

simulation to approximate the probability of selecting exactly 2 right-handed people when 3

people are randomly selected.

Part A

In the simulation, Martina has a spinner with sections of equal size. One section is labeled "L"

(left) and the rest of the sections are labeled "R" (right).

For this simulation to be as accurate as possible, what is the total number of

sections that the spinner should have?

Answers

Answer:

15%

Step-by-step explanation:

What is the difference between (8y-7) and (1-3y)

Hint: Difference is another way to say subtraction.

Answers

the difference is: 11y-8

Solve for x:
11(x+2)+3(x+4)=34

Answers

Answer:

x=0

Step-by-step explanation:

first remove parentheses 11x + 22 + 3x +12 =34

then cancel equal terms 14x + 34 = 34

divide both sides by 14 14x = 0

solution x = 0


Consider the table showing the given, predicted, and residual values for a data set.

A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 1.6, 2.2, 4.5, 6.1. The third column is labeled predicted value with entries negative 1.2, 1.5, 4.7, 6.7. The fourth column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6.

Which point would be on the residual plot of the data?

Answers

Answer:

(4, -0.6)

Step-by-step explanation:

The table is:

x       Given      Predicted     Residual value

1         -1.6              -1.2                  0.4

2          2.2             1.5                   0.7

3          4.5             4.7                  -0.2

4          6.1              6.7                  -0.6

The points on the residual plot must be the pairs (x, residual value). This is:

(1, 0.4)

(2, 0.7)

(3, -0.2)

(4, -0.6)

Thus, the correct choice is the last one: (4, -0.6)

The point that would be on the residual plot of the data is (4, -0.6). See the explanation below.

What is a residual plot?

A residual plot is a graph in which the residuals are displayed on the vertical axis and the explanatory variables is displayed on the horizontal axis.

From the analysis of the table attached, we have the following points on the residual plot:

(1, 0.4)

(2, 0.7)

(3, -0.2)

(4, -0.6)

Point on the residual plot must include the point on x and a residual value, hence, the correct answer is (4, -0.6).

Learn more about residual plot at:
https://brainly.com/question/3297603
#SPJ2

Help ASAP ❤️❤️❤️!!!!!!!!!!

Answers

Answer:

17.7 and 4.09

Step-by-step explanation:

Using the sine ratio in both right triangles

(49)

sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )

26 × sin43° = a, thus

a ≈ 17.7 ( to 1 dec. place )

----------------------------------------

(50)

sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )

6 × sin43° = a , thus

a ≈ 4.09 ( to 2 dec. places )

Which expression does not represent "the sum of n and 6"? n + 6 6 n 6 + n

Answers

Answer:

Step-by-step explanation:

6n because 6n it's 6 times n

______________________________

Hey!!

Answer: 6n

6n does not represent "the sum of n and 6"

6n represents "the product of n and 6"

Hope it helps..

Good luck on your assignment

___________________________

please help asap C: :D

Answers

Answer:

$997

Step-by-step explanation:

Base Salary: $150 (given)

Additional information on everything he sells: 14%

He sells $6050.00 last week, so then his commision would be 14% of the $6050.

x = 150 + ( 0.14 x 6050 )  

OR

14/100 x 6050

would equal: $847

Total pay for last week would equal base salary and the additional pay.

$150 + $847

= $997

His total pay for last week would equal $997.

Hope helps! - Stargaze

If x=5 and y=3, what is the value of 2(x+y)2 – (xy)0.

Answers

Answer:

32

Step-by-step explanation:

[tex]2(x+y)2-(xy)0\\2(5+3)2-((5)(3))0\\2(8)2-(15)0\\16(2)-0\\32-0\\32[/tex]

So the right answer is 113

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

need answered ASAP pleaseee

Answers

Answer:

the answer for this question is -30

please help. I am being timed

Answers

Points from correct answers: 8*10=80

Incorrect answers: 18*5=90

So total points is -10 points

Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)

Answers

Answer:

17.8

Step-by-step explanation:

First:

put the equation together

(2x+3) * (x+2)=91

Secondly:

condense

parenthisis can be dropped and normal problem solving can be used.

5x+2=91

subtract 2 from either side of the =

this will give you 5x=89

next divide 5 from each side because it is multiplying the x

x=17.8

​Determine whether the proportion is true or false. 6 miles / 30 quarts = 30 miles/ 15 quarts

Answers

Answer:

False

Step-by-step explanation:

6 miles / 30 quarts

Divide by 6

1 miles / 5 quarts

30 miles /15 quarts

Divide by 15

2 miles/1 quart

These are not the same so they are not proportional

The answer is: false. The answers are not working because they are not proportional.

Find the answer. 3 1/3 x -3 1/6 =

Answers

Answer:

=-10 5/9

Step-by-step explanation:

Let's simplify step-by-step. 31/3 x− 31/6

Times the numbers

=-10 5/9

Description:

The first step is to simplify the equation  3 1/3 x -3 1/6 =. When your done simplify the equation your answer will end up as =-10 5/9

Please mark brainliest

Hope this helps.

Answer:

[tex]-10\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}\times \:-3\frac{1}{6}[/tex]

[tex]\frac{10}{3}\times \:-\frac{19}{6}[/tex]

[tex]-\frac{10\times \:19}{3\times \:6}[/tex]

[tex]-\frac{190}{18}=-\frac{95}{9}[/tex]

[tex]-10\frac{5}{9}[/tex]

The figure below is made of two identical triangular prisms. What is the volume of the figure?

Answers

Answer:

300 in³

Step-by-step explanation:

The volume (V) of a triangular prism is

V = Al ( A is the area of the triangular face and l is the length )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 5 and h = 6 , thus

A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 in², so

V = 15 × 10 = 150 in³

Since the triangular prisms are identical, then volume of figure is

V = 2 × 150 in³ = 300 in³

300 in^3


This answer isn’t mine sorry

Light travels [tex]9.45*10^{15}[/tex] meters in a year. There are about [tex]3.15*10^{7}[/tex] seconds in a year. How far does light travel per second? Write your answer in scientific notation.

Answers

Answer:

300000000

Step-by-step explanation:

Take speed of light and divide it by the number of years and you should have your answer.

The answer is 300000000

:,))) what is the volume of the pyramid?

Answers

Answer: 1188

Step-by-step explanation: Multiply each volume.

The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the
rectangle's dimensions. Round your answers to the nearest tenth of an inch.

Answers

Answer:

L=19.5in w=10.5in

Step-by-step explanation:

Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9

Area is (width)(Length) = (width)(width+9)

W

----------

| |

| |

| | L = w+9

| |

| |

-----------

A = (w+3)(w)

A = w2 + 9w = 205.

(Problem states that area is 205 sq in)

Need to solve this quadratic equation

w2 + 9y - 205 = 0

Factor:

(w - 10.51) (w + 19.51) = 0

So

w - 10.51 = 0. or. w + 19.51 = 0

Solve these and get

w = 10.51. or. w = -19.51

Only one that makes sense in real life is the positive one.

So the dimensions are

Width = 10.51 inches

Length = 19.51 inches

Plz help me it’s emergency

Answers

Answer:

idk

Step-by-step explanation:

1/4 can also be written as .25

1 divided by 4 is .25

114 times .25 = answer

154 times .25  = answer

What is the answer? To this question

Answers

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

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