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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

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What is the net change in how many bags are on the shelf from
Temka [501]

Answer:

-2

Step-by-step explanation:

The computation of net change from the beginning of Tuesday to the end of Monday is shown below:-

The change at the last of Tuesday

Change = Restock - Sales

= 6 - 5

= 1

Here it indicates that the number of bags is rise by 1

The change at the last of Wednesday

Change = Restock - Sales

= 12 - 8

= 4

Here it indicates that the number of bags is rise by 4

The change at the last of Thursday

Change = Restock - Sales

= 12 - 2

= 10

Here it indicates that the number of bags is rise by 10

The change at the last of Friday

Change = Restock - Sales

= 18 - 19

= -1

Here it indicates that the number of bags is fall by -1

The change at the last of Saturday

Change = Restock - Sales

= 24 - 22

= 2

Here it indicates that the number of bags is rise by 2

The change at the last of Sunday

Change = Restock - Sales

= 0 - 15

= -15

Here it indicates that the number of bags is fall by -15

The change at the last of Monday

Change = Restock - Sales

= 0 - 3

= -3

Here it indicates that the number of bags is fall by -3

According to the given situation, it is equivalent the algebraic sum of every change

So,

Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)

Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)

Simplifying: 17 - 19 = -2

7 0
3 years ago
Aisha recorded the heights, in centimetres, of some girls.
sertanlavr [38]

Answer:

The median is marked at 161cm instead of 162cm.

The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.

5 0
3 years ago
If 11 is subtracted from twice a number the answer is 7. Find the number?
KonstantinChe [14]
Answer:
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6 0
2 years ago
Read 2 more answers
*GEOMETRY*please help me find the surface area of the solid along with the volume of it step by step!
Serjik [45]

Surface area of the solid = 7.1781 in²

Volume of the solid = 0.804 in³

Explanation:

Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder

surface area of a square prism = 2(lw + lh + wh)

l = length = 1 in

w = length = 1 in

h = height = 1 in

\begin{gathered} \text{Surface area = 2(1}\times1\text{ + 1}\times1\text{ + 1}\times1) \\ \text{Surface area = 2(1 + 1 + 1) = 2(3)} \\ \text{Surface area = 6 in }^2 \end{gathered}

using the value π as it is on the calculator

Base area of a cylinder = πr²

2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927

Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708

Surface area of the solid = 6 - 0.3927 + 1.5708

Surface area of the solid = 7.178 in²

Volume of the solid = Volume of the square prism - volume of the cylinder

Volume of square prism = length × width × height

length = 1 in, width = 1 in, height = 1 in

Volume of the solid = 1 in × 1 in × 1 in = 1 in³

Volume of a cylinder = πr²h

Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196

Volume of the solid = 1 - 0.196

Volume of the solid = 0.804 in³

4 0
1 year ago
Approximately 1.9 million primes of a certain type are reported to the place every year
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I suspect that you might mean 'crimes' and 'police'.  If that's the case,
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2 years ago
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