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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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Which graph represents the solution set for the inequality -8 < 8 + 4x < 28
valina [46]

Answer:

The solution set for the inequality is the interval (-4, 5)

Step-by-step explanation:

-8 < 8 + 4x < 28

Subtracting 8:

-8 -8 < 8 + 4x - 8 < 28 - 8

-16 < 4x < 20

Dividing by 4:

-16/4 < 4x/4 < 20/4

-4 < x < 5

x ∈ (-4, 5)

8 0
3 years ago
A lumber company needs to estimate the volume of wood a load of timber will produce. The supervisor knows that the volume of woo
Hitman42 [59]

Answer with Step-by-step explanation:

Let the volume be represented by 'V'

Since it is given that Volume varies with height 'h' and square of the girth 'g' we can write

V=khg^2 where 'k' is a constant of proportionality

Now it is given that volume is 288 cubic meters for  h= 40 meters and g =1.5 meters we can write

288=k\times 40\times 1.5^2\\\\\therefore k=\frac{288}{40\times 1.5^{2}}=3.2

Thus the volume of the timber as a relation is

V=3.2\times hg^{2}

Part b)

Volume of 50 trees with height 75 meters and girth 2 meters is

V=50\times 3.2\times 75\times 2^{2}\\\\\therefore V=48000m^{3}

7 0
3 years ago
84, 87, 90, 93
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3 0
2 years ago
Which conditional statement has a converse that is true?
EastWind [94]
If I'm running then I'm exercising

Converse if I'm exercising then I'm running not necessarily maybe your jogging or another exercise

If I'm awake then I'm studying
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4 0
3 years ago
Read 2 more answers
Complete for 11 points.
Mrrafil [7]

Answer:

Arnett - red car

Bradley - gray car

Church - yellow car

Dawson - silver car

Step-by-step explanation:

1st clue - we know that Bradley and Church can't have the silver car.

2nd clue - we know that Dawson can't have the red or gray car.

3rd clue - we know that Dawson and Arnett can't have the yellow car.

Based on the 2nd and 3rd clue, we know Dawson has the silver car because he can't have the red, gray, or yellow car.

4th clue - we know Bradley can't have the red or yellow car.

That leaves us with the gray car for Bradley because he had lunch with the owner of the silver car (which i consider also a bright color but i don't know if that counts).

so far:

dawson - silver car

bradley - gray car

and we know arnett can't have the yellow car because the owner of hte yellow car thinks he got a better car with his car then dawson and arnett, which leaves us with the red car for arnett.

dawson - silver car

bradley - gray car

arnett - red car

by process of elimination, that means church has the yellow car.

arnett - red car

bradley - gray car

church - yellow car

dawson - silver car

3 0
3 years ago
Read 2 more answers
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