If Marie were to paint her living room alone, it would take 7 hours. Her sister Barbara could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer 1

Answer:

[tex]\sf\longmapsto \: 3.73 hours [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{1}{7 } + \frac{1}{8} [/tex]

[tex]\sf\longmapsto \: \frac{15}{56} [/tex]

Now, Reciprocal–

[tex]\sf\longmapsto \: \frac{56}{15} [/tex]

[tex]\sf\longmapsto \: 3.73 hours [/tex]

Answer 2

The time taken together Marie and his sister to paint the living room are 3.73 hours or 3 hours and 43.8 minutes.

What are work and time?

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour.

Given that,

Marie take 7 hours to paint

1 work → 7 hour

1 hour → (1/7) work

Barbara takes 8 hour

1 work → 8 hour

1 hour → (1/8) work

Let's suppose together they take x hour

1 work → x hour

1 hour → (1/x) work

Now,

1-hour work together = 1-hour work of Marie + 1-hour work of Barbara

(1/x) = (1/7) + (1/8)

(1/x) = (7 + 8)/56

x = 56/15

x = 3.73

x = 3 hour and 0.73 × 60 = 43.8 minutes.

Hence "The time taken together Marie and his sister to paint the living room is 3.73 hours or 3 hours and 43.8 minutes".

For more information about the work and time relation,

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Related Questions

The manager of the school bookstore ordered 180 boxes of pencils. Based on the average daily use, she knows that the pencils will last about 30 days. Which linear equation represents the situation?

How many boxes of pencils should the manager expect to have after 20 days?

A. y = - 6x + 180; 120 boxes

B. y = - 6x + 180; 60 boxes

C. y = 6x + 180; 120 boxes

D. y = 6x - 180; 60 boxes

Will give 26 points!!​

Answers

The answer should be A

Need help, look at picture

Answers

Line AB is the diameter

2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELP ASAP PLS AND THANK YOU SO MUCH

Answers

Answer:

d) (18, 206)

Step-by-step explanation:

According to the given relationship, we have:

y/x = 12

Use the ordered pairs to find same ratio and compare:

a) 96/8 = 12b) 120/10 = 12c) 180/15 = 12d) 206/18 = 11.44 ≠ 12

find the product what is 9.874×7= ? ​

Answers

the answer is 69.118 !

A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248

Answers

248*.20
49.60
248-49.60
$198.40 is the sale price
248 x 0.20= 49.60 off
Now take 248 - 49.60 = $198.40
The sale price is $198.40

The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?​

Answers

Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.

The volume of the cubic container is given by the following equation:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

[tex]45 = 2h^3 - 9h^2 + 4h[/tex]

[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]

Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:

[tex]h = 5[/tex]

[tex]h - 4 = 5 - 4 = 1[/tex]

[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]

The dimensions of the container are of 1 inch, 9 inches and 5 inches.

A similar problem is given at https://brainly.com/question/16606259

Can yall please help me with this I am helping my brother I just need the answers lol.

Answers

Answer:

hope it helps

Step-by-step explanation:

4. 1/3

5. 1/3

6. 3/4

7. 1/4

8. 1/2

9. 3/7

10. 2/7

11. 3/5

12. 2/3

no link or bot please right

Answers

Step-by-step explanation:

Answer in the picture above

And at the side 2 laws are mentioned

thanks for the answer

Answers

Answer:

there's no questions haha, ty sa points

Answer:can you plz give us the question

Step-by-step explanation:

plz mark brainliest i need 5 of them

If 200 kids went to the zoo and only 10 came back how many got lost?

Answers

Answer:

200- 10 = 190

so, 190 kids came back..

Step-by-step explanation:

brainliest plz

Answer: 190

Step-by-step explanation:

200-10=190 right? brainiest please

The graph of a proportional relationship passes through the point (5, 2) .

What is the constant of proportionality of the relationship?


5

2

25

I don't know.

Answers

Well, 5 is like the point where it is, and 2 is the constant of proportionality.

Answer:

0.4

Step-by-step explanation:

2= slope *5 ,slope = 0.4

100 Points. Help solve. The sides are X, y, and 8. The reference angle is 60 degrees. Thanks

Answers

Step-by-step explanation:

y=8tan60=8√3

x=8/cos60 = 8 × 2 =16

Type the missing number in this sequence:
16, 7, __, -11, -20​

Answers

-2

The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9

therefore 7-9 is -2

Hope this helped you- have a good day bro cya)

-2. 7-9= -2. Hope this helps

three employees each clocked a different number of hours worked this week.



Which employee has the highest earnings per hour?

Answers

Answer:

?

Step-by-step explanation:

There is missing information. Ask this question again but with a picture showing how much the 3 employees worked/how much they each get per hour and I'll be glad to help.

How u do this djiejejeoeowoekrkk

Answers

its 7350, do long division lol

Please help guys this is hard for my 3rd grader Brain

Answers

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

3
Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given plecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)",
0 < I<3
1001 + 5,024,
3 < I<6
-12 + 5 + 5,630, 6 What were the boutique's monthly sales when Jenny first began tracking the data?
ОА.
$5,616
B.
$4,000
Ос.
$5,324
OD
$4,400
Reset
Next

Answers

Answer:

B. $4,000.

Step-by-step explanation:

2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELPS ASAP PLS AND THANK U

Answers

Answer:

D)  

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96.  It's on the line

B) x = 10, so that y = 12(10) = 120.  It's on the line

C) x = 15, so that y = 15(12) = 180.  It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206.  So, the point is not on the line.

Write the point slope form of the equation with the given characteristics:
Slope = 1/2; x intercept = 3

Answers

Answer:

point-slope form: y - 0 = ½(x - 3)    

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ←  This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2  (this is the slope-intercept form).

A parallel line is a _____ of the original line

rotation
translation

Answers

A parallel line is a translation of the original line.
A parallel line is sometimes a translation of the other line, with the same exact slope but different y-intercepts or starting points.

What is the alibraic equation to 32 ÷ 1.60
i need help asap if u will i will give 100 points to do asap

Answers

Answer:

The answer is 20

Answer:

19⋅2(3 third power)/5 ​=30 5/2 ​=30.4

Step-by-step explanation:

Which equation matches the table
x 0 1 2 3 4 5
y 5 6 7 8 9

Answers

Answer:

5 equation matches the table

Which table shows a proportional relationship between x and y?
A.
x y
2 4
3 6
4 9
B.
x y
3 4
9 16
15 20
C.
x y
4 12
5 15
6 18
D.
x y
1 4
2 8
3 15

Answers

Answer:

c is the answer

Step-by-step explanation:

find the value of x and y

Answers

Answer:

x = 8, y = 27

Step-by-step explanation:

Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other.  The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.

Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.

(2y + 24) + (3y + 21) = 180

That's the same as 2y + 24 + 3y + 21 = 180

Simplify to 5y + 45 = 180

Subtract 45 from both sides

5y = 135

y = 27

(16x - 26) + (9x + 6) = 180

16x - 26 + 9x + 6 = 180

25x - 20 = 180

25x = 200

x = 8

Which two integers is -1 2/3 in between?

-2 and -1

-1 and 0

0 and 1

1 and 2

Answers

It’s between -2 and -1

What is the solution to the equation 3 − 5 + 10 = 36

Answers

Answer:

False (no solution)

Step-by-step explanation:

What is the solution to the equation 3 − 5 + 10 = 36?

3 − 5 + 10 = 36

8 = 36

it's false

5 1/2 ÷3/4 write it in fraction form ​

Answers

The Answer:  

Simplified 7 1/3

Improper 22/3

Answer:

[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]

I hope I helped you^_^

Factorise fully
8+4g

Answers

Answer:

4(2+g)

Step-by-step explanation:

8+4g

Rewriting

4*2 + 4*g

Factor out the 4

4(2+g)

Write the sides of GHI in order from shortest to longest

Answers

Answer:

IH, GH, IG

Step-by-step explanation:

We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.

The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.

The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.

The side in-between these two is side GH, which is opposite to the 60 degree angle.

Which side in the figure on the right corresponds to segment QS?
What is the scale factor?


See the picture

Please help

Answers

Since it was rotated the corresponding side is segment UV.

QS = 4 = original
UV = 2 = new
Scale factor = new/original = 2/4 = 0.5
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