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

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Related Questions

Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x
(Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.)

Answers

Answer:

Below.

Step-by-step explanation:

[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]

It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.

But, it's the same for 1 and 0 because they equal each other when you square them.

The diameter of a circle is 20m. Find its area in terms of pie(urgent)

Answers

Answer:

100 pie m^2

[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]

Answer:

[tex]= 100\pi {m}^{2} \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]

[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]

hope this helps

In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?

Answers

Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891

Which one is greater 1 4/5 or 21/12

Answers

Answer:

I think 21/12

Step-by-step explanation:

hope it works out,!!

Answer:

Here is the answer 21/12

Step-by-step explanation:

to break 21/12 into a fraction we need to subtract, add a whole.

21-12 is 9  1 9/12

now we need to find a gcf for only 9/12 but divide

this is because the gcf of 4/5 is only 1 so we can’t use it

the gcf for 9/12 is 3

9/12 divided by 3 is 3/4

to know what’s greater I use the butterfly trick Which is sideways multiplying

3.       4

-         -

4         5

3 x 5 is 15

4 times 4 is 16

below the 16 should be 4/5

and if you look all the way at the top, it started as 21/12

so it is 21/12

Need some help with congruence and similarity
(Picture bellow)

Answers

Answer:

a and b are similarity i think that's what your looking 4 idk

Step-by-step explanation:

Given that AABC= ADEF, which of the following must be true?

Answers

Answer:

it's b because b and e are in the same place

Is (1, 4) a solution to the equation y = 7x?

Answers

Answer:

No

Step-by-step explanation:

y=7x

4=7(1)

4=7

This is not a true statement.

Hi All,

I have some Maths Questions for you all to have a look at.

Please answer - I am giving 20 points!

I will mark Brainliest as well.

Take care,

Jake

Answers

Answer:

The modal is 6 and the median is 6

Step-by-step explanation:

The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.

Answers

______________________________

Hey!!

Solution,

Area= 12 ft^2

height= 3 ft

Now,

Area=b*h

or, 12=b*3

or,b=12/3

b=4 ft.

The value of base is 4 ft.

hope it helps

____________________________

You pick a card at random, put it back, and then pick another card at random.

2 3 4 5

What is the probability of picking a number greater than 3 and then picking a 5?

Answers

Answer:

12.5%

Step-by-step explanation:

out of the 4 cards only two are >3 (4 and 5)

so 2/4 on the first choice (simplified to 1/2)

picking a 5 is 1/4 since there is only one 5

since they are happening at the same time multiply the two probabilities

1/2*1/4

=1/8

=0.125

=12.5%

what are the similarities in the pythagorean theorem and the distance formula

Answers

Answer:

The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.

DISTANCE FORMULA

The study of geometry in a graphical environment is called co-ordinate geometry.

In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.

Step-by-step explanation:

Answer:

Short answer: They are essentially the same thing.

The distance formula is derived from the Pythagorean Theorem

We have distance formula:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Pythagorean Theorem:

[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]

The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.

We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]

But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:

[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]

Answer these correctly pls

Answers

Answer:

1. -3x² × 3x × 2x³ × x⁵

= (-3×3×2) x^2+1+3+5

= -18x¹¹

2. [3×(-1)×(-1)] n^2+2+3

= 3n⁷

3.[-0.5×2×(-1)] x^3+5+1

= x⁹

4.[-2×(-1)×(-1)] s^2+3+4

= -2s⁹

5.[-6×1×(-1)] v^8+5+1

= 6v¹⁴

6.[1/2×(-1)×6] p^2+3+1

= -3p⁶

7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1

= 8b¹⁰

HELP WILL DO ANYTHING TO GET ANSWERS

Answers

Answer:

24. 40 minutes approximately

25. 8 days

Step-by-step explanation:

24. 40 minutes

Anna: 1 hour

Peter: 3 hours

Maria: 6 hours

A way to solve this kind of question is to think about how much they can perform given the same amount of time.

Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)

Peter: 3 hours x 2  6 hours (In 6 hours Peter can clean 2 houses)

Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)

Working together they can clean the house 9 times faster.

It is 0.66 hours, or approximately 40 minutes

25. 8 days

It climbs 3 feet up but then it falls 2 feet down while sleeping during

the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.  

Work out the value of 2^3 + 5^2

Answers

8 + 25
The answer is 33

Answer:

33

Step-by-step explanation:

A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.

HURRY!
What is the distance from (3 and one-half, 5) to (3 and one-half, –12)?

Answers

Answer to the question : 17 units

Answer:

17

Step-by-step explanation:

all you do is add -12 and 5 and pretend the - isnt there, and now you have 17.

Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8

Answers

Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

-0.52 is the least strongest

Insert a digit to make numbers that are divisible by 24 if it is possible:
38__36

Answers

Answer:

Step-by-step explanation:

24=8×3

sum of digits is divisible by 3

and last three digits are divisible by  8.

3+8+3+6=20

if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8

so 38136 is divisible by 24.

other number is  38736

I got the same correct answer as the person who answered it first , Hope this helps

Jake took a handful of M&Ms from the candy dish on the coffee table.
gave half of them to his little sister. He sorted the M & Ms he had left and
put one third of them back in the dish because they were read and he do
not like red M & Ms. That left Jake with 6 M & Ms. How many did Jake hav
in his original handful?​

Answers

Answer:

36

I want brainliest

Step-by-step explanation:

6 x 3/1 or 6 x 3 = 18

put the reds back in

18 x 2 = 36

take the ones from his sister

Answer = 36

Step-by-step explanation:

6 x 3/1 or 6 x 3 = 18

reds go back in

18 x 2 = 36

take ones from the sister and there u go

The perimeter of a rectangular painting is 340 centimeters. If the width of the painting is 77 centimeters, what is its length?

Answers

Answer:

98 centimeters

Step-by-step explanation:

perimeter of rectangle=2(l+b)

width=breadth=77centimetrs

perimeter=340 centimeters

340=2(l+77)

340=2l+144

340-144=2l

196=2l

l=98 centimetrs

The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.

Answers

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

Which of the following are exterior angles?? Check all that apply

Answers

Answer:

Exteririor angles mean the angles not in the triangle. So the 2 4 and 3

A, D, C

Answer:

Angles two, three, and four.

Step-by-step explanation:

Exterior angles are the angles that lie outside the triangle: in this case, 1, 5, and 6 are the angles which make up the triangle, meaning 2, 3, and 4 are exterior.

algebra applications ​

Answers

Answer:

X=55°

Y=30°

Step-by-step explanation:

2y=x+5

Y=1/2x+2.5

3y+30=4x-100

3(0.5x+2.5)+30=4x-100

1.5x+7.5+30=4x-100

4x-1.5x=137.5

2.5x=137.5

X=55°

Y=30°

Answer:

[tex]x = 55\\y = 30\\[/tex]

Step-by-step explanation:

Finding x:

4x - 100 + x + 5 = 180 (Angles on a straight line)

5x - 95 = 180

5x = 180 + 95

5x = 275

Dividing both sides by 5

x = 55

Finding y:

2y + 3y +30 = 180 (Angles on a straight line)

5y = 180-30

5y = 150

Dividing both sides by 5

y = 30

Pls I Need Help!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters.
Given that these triangles are similar, which side corresponds to side GE?

Given that these triangles are similar, which side corresponds to side JK?

Answers

Answer: The first one is KL and the second one is most likely FG.

Answer:

1: KL

2: FG

Step-by-step explanation:

Just did it on Edge 2020-2021

Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?

Answers

Answer:

( 3x − 1) ( 5x^2 + 2 )

Step-by-step explanation:

15x^3 − 5x^2 + 6x − 2

= ( 3x − 1) ( 5x^2 + 2 )

Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].

What is factorization by grouping?

Factorization by grouping means that we need to group the terms with common factors before factoring.

[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]

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Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D

Answers

solve: [tex]\frac{10}{x}[/tex] = 2

Answer:

a. x= 5

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]\frac{10}{x}[/tex] = 2

multiply x to both-side of the equation

[tex]\frac{10}{x}[/tex] × x= 2× x

at the left-hand side of the equation, x will cancel-out x, leaving us with 10

10 = 2x

divide both-side of the equation by 2

10/2 = 2x/2

at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2

5 = x

x=5

Answer:

a

Step-by-step explanation:

State the main principle of solving equations

Answers

Answer:

The main principle of solving equations is to find the unknown value

Step-by-step explanation:

For example:

 [tex]x + 3 = 6[/tex]

     [tex]-3=-3[/tex]

       [tex]x=3[/tex]

I hope this helps

Answer:

The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.

Step-by-step explanation:

1. What is the solution to the compound inequality 85 < 17m <136?

a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8​

Answers

Answer:

The answer is b.

Step-by-step explanation:

First separate it into two inequalities.

85<17m and 17m<136

For the first one,

Divide both sides by 17.

5<m

For the second one,

Divide both sides by 17.

m<8.

Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.

Hope this helped.

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

The solution to the compound inequality [tex]85 < 17m < 136[/tex].

Now,divide both sides by [tex]17[/tex].

[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

To know more about the inequality

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Write 9,622,000 in scientific notation.

Answers

Answer:

9.622 x 10^6

Step-by-step explanation:

Answer:

9,622*10 to the power of 3

Step-by-step explanation:

when using scientific notations you use ''10 to the power of ''

So in this case you have 3 zeroes which makes it 10 to the power of 3

[tex]9622000=9622*10^{3}[/tex]

What is the value of the 3 in 630

Answers

Answer:

hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

We can write 630 in expanded form as:

630 = 600 + 30 + 0

and in words:

630 = 6 hundreds, 3 tens and zero ones

the value 6 is 600

and the place value of 3 is 30 and the face value is 3 in the number 630.

The number can be written in the expanded form as 600 + 30 + 0 and the face value is 3 in the number 630.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 630

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The number 630 can be written as:

630 = 6x100 + 3x10 + 0x1

630 = 600 + 30 + 0

The above expression represents the expanded form of the number 630.

In words:

630 = 6 hundred, 3 tens, and zero ones

The value 6 is 600

The place value of 3 is 30 and the face value is 3 in the number 630.

Thus, the number can be written in the expanded form as 600 + 30 + 0 and the face value is 3 in the number 630.

Learn more about the number here:

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A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending

Answers

Answer:

D

Step-by-step explanation:

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