The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. If the machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours?

Answers

Answer 1

Answer:

Given is the direct relationship between number of produced straws and the hours of operating machine.

Given that 20,000 straws are produced in 8 hours of machine's operation.

Let's assume that 'x' straws are produced in 50 hours of machine's operation.

Using the concept of proportions, x straws in 50 hours would be proportional to 2000 straws in 8 hours.

$(X \;straws)/(50 \;hours) =(20,000 \;straws)/(8 \;hours) \n\n(X \;straws)/(20,000 \;straws) =(50 \;hours)/(8 \;hours) \n\n(X)/(20,000) =(50)/(8) \n\nCross \;multiplying \n\n8*X = 50*20000 \n\n8X = 1,000,000 \n\n(8X)/(8) =(1,000,000)/(8) \n\nX=125,000 \;straws$

Hence, total 125,000 straws would be produced in 50 hours.

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Solve: 2a-3b=52a−3b=5

a+b=10

Answers

first you add 3b to both sides making it 2a=52a-5
and then you subtract 52a from each side making it -50a=-5
a=10
Next you substitute A
10+b=10
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Answers

12 / 3 so the answer would be 4

Solve the equation. x/2 + 2x/3 =5

Answers

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Alon and his friend Marna own a chimney sweep service company. Working together, they can clean a 20-foot chimney in 1 Five-sevenths hours. If it takes Kalon 4 hours to clean a 20-foot chimney by himself, how long does it take Marna to clean the same size chimney by herself?

Answers

Answer:

3 hours

Step-by-step explanation:

Given that:

Time taken by Kalon = 4 hours

Time taken by Marna =?

Time taken if the work together = 1 5/7 hours

Kalon's rate = 1/ time =. 1/4

Kalon + Marna = 1 ÷ 1 5/7 = 7/12

Hence,

Marna's rate = 7/12 - 1/4

Marna's Rate = (7 - 3) / 12 = 4/12 = 1/3

Marna's rate = 1/3

Hence, time it takes Marna = reciprocal of rate = 1÷ 1/3 = 1 * 3/1 = 3 hours

Answer:

3 hours

Step-by-step explanation:

Pamela has 4 pink ribbons, 3 green ribbons, and 1 blue ribbon. what fraction of Pamela's ribbons are green?

Answers

The total number of ribbons is 8 because 4 + 3 + 1 is 8
The number of green ribbons is 3
That means that 3 out of the 8 ribbons are green
Answer: 3/8

4 + 3 + 1 = 8
1 of those 8 is green
1/8

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