1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Roman55 [17]
2 years ago
10

You can stuff envelopes twice as fast as your friend. Together, you can stuff 6750 envelopes in 4.5 hours. How long would it tak

e for each of you working alone to complete the job individually?
Mathematics
2 answers:
Lynna [10]2 years ago
4 0
If you're twice a fast then... we'll divide 6750 by 3, that equals 2250. 
<span>Equation.. y=your friend and you would be 2y cuz you're twice as fast.
</span>y+2y=6750, 
3y=6750
y=2250

Your friend stuffed 2250 in 4.5 hrs.
You (twice as fast) stuffed 4500 in 4.5 hrs.


Working alone, your friend can stuff 2250 in 4.5hrs so it would take 13.5hrs to stuff 6750. 
Equation.. (6750/2250) x 4.5hrs = 13.5hrs

You can 4500 in 4.5hrs so it would take you 6.75 hrs to stuff 6750.
Equation.. (6750/4500) x 4.5hrs = 6.75 hrs.


Lady bird [3.3K]2 years ago
3 0

Answer:

<h2>13.5 hours to your friend, and 6.75 to you.</h2>

Step-by-step explanation:

First, we have to find the individual ratio, how many envelopes per hour they can stuff.

So, we now that you can stuff envelopes twice faster than your friend, and both of you, that is, the sum, results in 6750 envelopes in 4.5 hours. The equation would be:

x+2x=\frac{6750 \ envelopes}{4.5 \ hour}\\3x=\frac{6750 \ envelopes}{4.5 \ hour}\\x=\frac{6750 \ envelopes}{3(4.5) \ hour}=500 \ envelopes/hr.\\2x=1000 \ envelopes/hour.

Now we apply the rule of three to find the time to stuff 6750 envelopes.

If your friend can stuff 500 envelopes per hour, how much time would take 6750?

x=6750\frac{1}{500}=13.5 hours

So, it would take 13.5 hours to your friend, to stuff all envelopes alone.

Now, if you can envelope 1000 envelopes per hour, that is, twice than your friend. How much time would take to you to stuff 6750 envelopes?

x=6750\frac{1}{1000}=6.75 hours

It would take to you 6.75 hours to stuff all 6750 envelopes alone.

Therefore, the answers are 13.5 hours to your friend, and 6.75 to you.

You might be interested in
Please help me giving brainliest
Gemiola [76]

Answer:

42cm^2

3x2=6x7=42

Step-by-step explanation:

7 0
2 years ago
A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.
scZoUnD [109]

Answer: The required ratio will be

84:1034

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

2x=30\\\\x=\frac{30}{2}=15\ inches

So, Length of AD becomes

3x=3\times 15=45\ inches

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

\frac{30}{2}=15\ inches

So, Area of semicircle along AB and CD is given by

2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2

Radius of semicircle along AD is given by

\frac{45}{2}=22.5\ inches

Area of semicircle along AD and BC is given by

2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2

And the combined area of the semicircles is given by

\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2

Area of rectangle is given by

Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034

Hence, the required ratio will be

84:1034

8 0
3 years ago
What is the ratio of the number of days in the week that begin with the letter "T" to the number of days in the week that do not
ioda

Answer:

2:5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The jogging track is of a mile long. If Ashley jogged around it 4 times, how far did she run?
matrenka [14]

Answer: 4 miles

Step-by-step explanation:

If Ashley ran 1 mile 4 times, she ran 1+1+1+1, or 1*4, or 4 miles.

<em>Hope it helps <3</em>

5 0
3 years ago
James divided 144 ounces of water evenly among 4 containers. One of the containers leaked 8 ounces.
Verdich [7]

Answer:

I dont understand your question rither

Step-by-step explanation:

sorry I would help is I neew

3 0
3 years ago
Other questions:
  • HELPPPOO ASAP please!
    6·1 answer
  • Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table below and answer the following qu
    6·1 answer
  • Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4.
    6·1 answer
  • Solve for x. 2(x + 14) + x = 70a. 11b. 12c. 14d. 17
    10·1 answer
  • X=5,then x*2=5*2<br> what is the property
    10·1 answer
  • In the spinner below, what is true about the probability of landing on 1 and the probability of landing on 6?​
    6·2 answers
  • Solve for the variable.*<br> -a + 3a =10<br> A. {-9}<br> B. {5}<br> C. {-11}<br> D. {2}
    15·2 answers
  • Graph the function <br> Is it a, b, c or d?
    11·1 answer
  • On Wednesday Mr. Miles walked in right at 9/10 of the trail then he walked one eights of the trail back and you stop to rest wha
    12·1 answer
  • What is the value of x?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!