5) Dan and Joan were able to clean the attic in 7 hours together, It takes
Joan 9 hours to complete the same job alone. Without help, how long
would it take Dan to complete the same job?

Answers

Answer 1

Answer:

9 hours im not really good at this but i hope i did my best ^.^ :)

Answer 2

It would take 31.5 hours for Dan to complete the same job.

What is work and time relationship?

Work is the effort applied to produce a deliverable or accomplish a task. A certain amount of time (T) is taken to complete a certain work (W).

Work Done = Time Taken × Rate of Work.

Rate of Work = 1 / Time Taken.

Time Taken = 1 / Rate of Work.

According to the question

Dan and Joan were able to clean the attic in 7 hours together

i.e

Rate of Dan = D

Rate of Joan = J

now,

Rate of Work = 1 / Time Taken.

D + J = [tex]\frac{1}{7}[/tex]

It takes Joan 9 hours to complete the same job alone

i.e

J = [tex]\frac{1}{9}[/tex]

Rate of Dan :

D + J = [tex]\frac{1}{7}[/tex]

D +  [tex]\frac{1}{9}[/tex] =  [tex]\frac{1}{7}[/tex]

D =   [tex]\frac{1}{7}[/tex] -  [tex]\frac{1}{9}[/tex]

D = [tex]\frac{2}{63}[/tex]

Therefore , Time taken by Dan  to complete the same job

As,

Time Taken = 1 / Rate of Work.  

Time taken by Dan = [tex]\frac{63}{2}[/tex]

                                 = 31.5 hr

Hence,  It would take 31.5 hours for Dan to complete the same job.

To know more about work and time relationship here:

https://brainly.com/question/3854047

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Related Questions

CHECK YOUR UNDERSTANDING

The Wacky Widget Company sells widgets for

$4.00 each wholesale. A local store has a

markup of $1.20.

A. What is the retail price?

B. What percent is the markup price?

Answers

Answer:

Retail price = $5.20

Percentage of mark up price = 30%

Step-by-step explanation:

Company sells $4.00 each wholesale.

Now the local store which is the retailer has a markup of $1.20.

This means that the retail price is;

Retail price = wholesale price + mark up = $4.00 + $1.20

Retail price = $5.20

To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.

Thus;

Percentage of Markup is;

1.2/4 × 100% = 30%

Marco buys shampoo from a supplier at $7.25 per bottle.
He marksup the shampoo 20%.
What is the price after markup?

Answers

Answer:

7.45

Step-by-step explanation:

dont ask me to explain cuz I wont have a nice day

Answer:

The answer is $1.25

Step-by-step explanation:

hope this helped

I GIVEEEEEEEEEE BRAINLISTT

Answers

Answer:

D: 50% on car payment and college savings

Step-by-step explanation:

225+375 = 600

50% of 1200 is 600

PLEASE ANSWER ASAP!!!!!!!!!!!!!
Is 1 + 4(3x - 10) - 12x equivalent to -9? EXPLAIN and show your work.

Answers

Answer:

Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:

1 + 12x - 40 -12x

= 1 - 40

= -39

Step-by-step explanation:

Answer: No

Step-by-step explanation:

1 + 4(3x - 10) - 12x = 9

simplifies to

1+12x - 40 -12x =9

combine like terms to get

-39 = 9

This is not possible so the answer is no.

Write an equation of the line in slope-intercept form. (3, 3)
(0, 2)

Answers

Answer:

Step-by-step explanation:

3-2 change in y = 1

3-0 change in x= 3

y=1/3x+ c

Please help me answer this will give brainlst

Answers

Answer:

17° and 73°

Step-by-step explanation:

For two complementary angles, the sum of angles is equal to 90 degrees.

Let other angles = x

First angle = 5+4x ...(1)

ATQ,

5+4x+x=90 ...(2)

Equation (1) and (2) shows the equations for the given problems.

5+5x=90

5x = 85

x = 17°

Other angle = 17

First angle = 5+4x

= 5+4(17)

= 73°

So, the other two angles are 17° and 73° respectively.


I NEED HELLPPPPPPPP

Answers

Answer:

51 people

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

190 out of 300 is from England

100 out of 100×190/300 is from England

=63% (approximately)

according to the question

63%×80

63/100 × 80

51(approximately)

If your gross monthly income will be $3,750, you need to determine the net pay for your monthly budget. Your monthly net pay is

Answers

Answer:

$2,989.12

Step-by-step explanation:

The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.

The deduction from the gross income is almost 20.29%.

The gross income is multiplied by 20.29% and then the answer is deducted from the gross income which gives monthly net pay as a result

$3,750 * 20.29% = $760.875

$3,750 - $760.875 = $2,989.12

Your monthly net pay is $2,989.12

the equation y = 73x + 146.53, where x represents the number of traffic tickets and y represents the cost of car insurance, determine the cost of car insurance if you had 9 tickets.

Answers

Answer:

803.53

Step-by-step explanation:

Cost of car insurance = 73 traffic tickets + 146.53

y = (73 × 9) + 146.53

y = 657 + 146.53

y = 803.53

Car insurance costs 803.53

Samantha spent 1/6 of her money on candy and 3/4 of her money on a movie ticket. What fraction of Samantha's money has been spent?

Answers

Answer:

11/12

Step-by-step explanation:

how many interior angles of a triangle can be equal to 85°​

Answers

2 since interior angles ar equal to 180

Help! It’s due it’s due in 30 minutes

Answers

the area would be
36+18+18+4+4+4+4=16+72=88

Answer:

Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.

88

Step-by-step explanation:

You only need the area of one side of this shape to find the total area.

((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.

AE = 3x - 2 and EC = 2x + 3 then DB =

#5

Answers

Answer:

DB = 26

Step-by-step explanation:

Remember:

AE ≅ ECAC ≅ DB

☆The equation in finding the value of x would be 3x - 2 = 2x + 3.

☆Let's solve the equation.

[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]

☆Now that we found the value of x, we are going to plug in for AE and EC.

[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]

☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]

The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.

Jennifer uses a coupon that gives you 20% off your order. If the total was $18 before the discount, then how much money did she save?

Answers

She would have saved $3.60

Each diagram is made of smaller, identical pieces. Tell how many pieces you would shade to model 25%

Answers

Answer:

12 pieces

Step-by-step explanation:

In 2009, two tickets to a certain American band's concert and two tickets to a certain British band's concert cost, on average, a total of $592. At those prices, four tickets to see this
American band and two tickets to see this British pand cost $842. What was the average cost of these American and British band tickets in 2009?
American band $
British band$

Answers

I believe you would divide


Choose the algebraic description that maps AABC onto AA'B'C'in the given figure.
A) (x, y) - (x + 6, Y)
B) (x, y) - (x, y - 6)
OC) (x, y) - (x-6, y).
D) (x, y) - (x, y + 6)

Answers

9514 1404 393

Answer:

  C)  (x, y) ⇒ (x -6, y)

Step-by-step explanation:

Each image point is 6 units left of the corresponding pre-image point. That is, its x-coordinate is reduced by 6. The appropriate choice is shown below.

15% of the skittles in andys bag are green. how many skittles are in the bag if 9 of them are green

Answers

Answer:

60

Step-by-step explanation:

9/15=0.6

0.6x100=60

Quadrilateral ABCD is graphed on the coordinate plane below. Reflect quadrilateral ABCD across the x-axis.

Answers

Answer:

b

Step-by-step explanation:

h4byvtvt3v3tv3yv3v3tg3tv3tv

A baker sold 20 cakes. He sold 3/5 of them before noon. How many cakes did he sell that morning?

Answers

Answer:

He sold 12 cakes

Step-by-step explanation:

1/5 of 20 is 4 so 3 X 4= 12 so 12 cakes

sally is taking a test
when she got her score it was 85% of 100% how many questions was on the test and how many did she get wrong

Answers

Answer:

There was 20 questions on the test.

She got 3 wrong.

Step-by-step explanation:

[tex]\frac{85}{100} = \frac{17}{20}[/tex]

20 - 17 = 3

There was 20 questions on the test.

She got 3 wrong.

Answer: There were 20 questions and she missed three.

First of all, you need to simplify 85/100.

85/100 / 5/5 = 17/20.

Now that you know how many questions were on the test, subtract 17 from 20.

20 - 17 = 3

So in conclusion, the test had 20 questions and she missed three.

But this question doesn’t have enough info to be honest, if you multiply 17/20 with any number it’s still going to be 85%.

c)
How many quarters make a whole?
d) How many fifths make a whole?
e) How many tenths make a whole?
nta Excel in Mathematics - Book 3
108​

Answers

Answer:

4 quarters

10 tenths

Step-by-step explanation:

Tenths

[tex] \frac{1}{10} [/tex]

Quarter

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

Whole

[tex] 1 [/tex]

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

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

∴ There are 4 quarters to make a whole

[tex] 1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10} [/tex]

∴ There are 10 tenths to make a whole

Add 2/7 + 3/7?
[tex]2 \7 + 3 \7[/tex]

Answers

5/7
I hope that’s what your looking for

Algebra basics Graphing lines and slope


Question: Detereme the intercepts of the line

y - intercept ( , ) ( , )

x - intercept ( , ) ( , )​

Answers

Answer:

y= (-40,-1) x=(-10-17)

Step-by-step explanation:

translate to words : 5(x+3)-6+7x​

Answers

5x+15-6+7x
15-6= 9.
5=7= 12
12x+9 .

Answer:

five time in parenthesis x plus three close parenthesis minus six plus seven x

Step-by-step explanation:

five time in parenthesis x plus three close parenthesis minus six plus seven x

Can someone help me out pls?

Answers

Answer:

58 degrees

Step-by-step explanation:

Find the length of dm in the given fig.​

Answers

Answer:

[tex]DM=12[/tex]

Step-by-step explanation:

(Let the point where the altitude from [tex]D[/tex] intersects [tex]AB[/tex] be called as point [tex]E[/tex].) First, let's find the area of parallelogram [tex]ABCD[/tex]. The area of a parallelogram is simply [tex]b*h=bh[/tex], where [tex]b[/tex] is the parallelogram's base and [tex]h[/tex] is the parallelogram's height. If we let [tex]AB[/tex] and [tex]DE[/tex] be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram [tex]ABCD[/tex] will be [tex]AB*DE=15*8=120[/tex].

Now, how does this information matter, you might ask? Well, we can take either [tex]AB[/tex] or [tex]CB[/tex] to be the base and either [tex]DE[/tex] or [tex]DM[/tex] to be the height. In this case, let's take the latter two options, as we are looking to find the length of [tex]DM[/tex].

Therefore, we know that the area of parallelogram [tex]ABCD[/tex] can also be found by calculating [tex]CB*DM[/tex]. Since we know the values of the area and [tex]CB[/tex], we can write the following equation to solve for [tex]DM[/tex]:

[tex]Area = CB*DM[/tex]

[tex]120=10*DM[/tex] (Substitute [tex]Area=120[/tex] and [tex]CB=10[/tex] into the equation)

[tex]\frac{120}{10}=\frac{10*DM}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]DM[/tex]'s coefficient)

[tex]12=DM[/tex] (Simplify)

[tex]DM=12[/tex] (Symmetric Property of Equality)

Hope this helps!

What is the exact value that is 43% of 2302?

Answers

Answer: 873.76

First find 1% of 2302 which will be 2302/100=23.02

to find 43% of 2302 multiply 1% of 2302 with 43

43*23.02 = 873.76

!!!!!!!!PLEASE HELP!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

Two snow resorts offer private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hill charges $10 per hour plus $30 insurance. For what number of hours is the cost of the lessons the same for each resort?

Answers

Answer:

4 hours

Step-by-step explanation

4 times 5+20

50+20+70

10 times 4 +40

30+40+70

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