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
Ahat [919]
3 years ago
11

Pat has been assigned the job of picking apples from the family orchard. He could do the job alone in 8 hours. He knows that his

sister, Patti, could do the job in 7 hours. He begs her to help, and she agrees. How long will both of them take to pick the apples? (Round your answer to the nearest tenth.)
Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer:

3.7 hours

Step-by-step explanation:

Pat could do the job alone in 8 hours.

Patti could do the job alone in 7 hours

Output = Rate * time

Let the rate at which pat does the work = Rp

Let the rate at which Patti does the work = Rt

Let X be the total output

Rp * 8 = X

Rp = X/8

Rt * 7 = X

Rt = X/7

If both pat and Patti pick apples, we have

(Rp+Rt)T = X

(X/8 + X/7)T = X

[(7X + 8X)/56]T = X

[X(7+8)/56]T = X

Divide both sides by X

[(7+8)/56]T = 1

(15/56)T = 1

T = 56/15

T = 3.7 hours

You might be interested in
In a sequence described by a function, what does the notation f(3)=1 mean
vladimir2022 [97]
X = 3
Y = 1

f(3)=1
X Y
5 0
3 years ago
Read 2 more answers
If f (x) = x² - 7, evaluate the following: f(12) f(-7)
Julli [10]

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

7 0
1 year ago
David wants to pack apples and bananas in his lunch. He has room for 16 fruit. He wants to pack three times as many apples as ba
S_A_V [24]

Answer:

David should pack 12 apples and 4 bananas

7 0
2 years ago
David has zero fewer pears than Amy. Amy Has five pears. How many pears does david have?
Mariana [72]
He has ZERO fewer than Amy. That's actually another way of saying that he has the same amount as Amy.

since Amy has 5 pears, David also has 5 pears.
5 0
3 years ago
Read 2 more answers
Write a number that is the same when rounded to the nearest hundred and ten
inn [45]
202 because you can round it to 200
7 0
3 years ago
Other questions:
  • Using the formula C=2×n×r find the circumference of a circle of radius 5cm (n=3.14)
    10·2 answers
  • 10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?
    11·2 answers
  • A triangle has angles that measure 8xº,
    7·1 answer
  • Helppp please use previous question
    11·1 answer
  • Briana spent 2 3/4 hours on her science project. Jackson worked 1 1/3 times as long on his science project as Briana worked. For
    9·1 answer
  • 4 times a number is greater than -48.what are the possible values for the number ?
    15·1 answer
  • A survey about phone service has a margin of error of +/– 5%. Out of 100 people surveyed, 93 said that they were pleased with th
    8·2 answers
  • For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval no
    8·1 answer
  • Write an expression for the nth term of...<br> 2,1,0,-1...
    13·1 answer
  • Which of the following coordinates of points belong to the solution set of the inequality y &lt;2x² +3x - 5?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!