An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?

Answers

Answer 1
Answer:

We are required to calculate the number of days it would take the apprentice working alone

The number of days it takes the apprentice working alone is 6 days

let

Number of days taken for the carpenter to work alone = x

Number of days taken by the apprentice to work alone = 2x

Number of days taken to work together = 2 days

Work done per day Carpenter = 1/x

work done per day apprentice = 1/2x

work done per day together = 1/2

So,

work done per day together = Work done per day Carpenter + work done per day apprentice

1/2 = 1/x + 1/2x

1/2 = (2 + 1) / 2x

1/2 = 3/2x

cross product

1(2x) = 2(3)

2x = 6

x = 6/2

x = 3 days

Therefore,

Number of days taken by the apprentice to work alone = 2x

= 2(3)

= 6 days

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Answer 2
Answer:

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = (1)/(2)

Work done in one day by Carpenter working alone = (1)/(C)

Work done in one day by apprentice working alone = (1)/(2C)

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  (1)/(C)+(1)/(2C) = Work done in one day working together = (1)/(2)

(1)/(C)+(1)/(2C)=(1)/(2)\n\Rightarrow (2+1)/(2C)=(1)/(2)\n\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 * 2= 6 days


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Let r varies inversely as u, and r = 8 when u =5. Find r if u=55

Answers

Answer:

Step-by-step explanation:

Given that, r varies inversely with u. r=k÷u, k being the constant.

Therefore, k=8×5, ( after making k the subject of your formula).

This implies that k=40.

Now, according to the formula r=k÷u,

r=40÷55

Therefore, r=0.72

Is -6 a natural number

Answers

Answer:

-6 is not a natural number. It is an integer because of the negative symbol.

Hope this helped and have a great day!

(vote brainliest please)

Answer: no

explanation: because all natural numbers have to be positive

Show your working for the following questions:-18 divided by -3

Two sevenths times eight thirds

Three eights plus one twelth

Answers

(-18)/(-3) (divide 3 from numerator and denominator) = (6)/(1) = 6

(2)/(7) × (8)/(3)(16)/(21)

(3)/(8) +  (1)/(12) =  (9)/(24) +  (2)/(24) =  (11)/(24)

The cost of three scarves is $26 and 25 s The cost of three scars is $26.25 what is the unit price

Answers

Answer:


Step-by-step explanation:

$26.25/3 scarves=$8.75/1 scarf


the cost of 1 scarf is $8.75

The elevation of lake sam rayburn is 164 above mean sea level during the summer if it does not rain the elevation of the lake decreases by 0.5 feet each week

Answers

Answer:

I guess that you want to model the elevation of Lake Sam Rayburn.

During the summer, it is 165 ft above the sea level (the sea level is our position 0ft).

If it does not rain, the elevation of the lake decreases by 0.5ft each week.

So if we assume that there is no rain, we can write the elevation fo the lake as a linear relationship with slope equal to -0.5ft and y-intercept equal to 165ft.

L(w) = 165ft - 0.5ft*w

Where w is the number of weeks without rain, if we have 0 weeks without rain, then the level of the lake remains constant at 165ft above sea level,

L(0) = 165ft - 0.

If you have 6 pieces of plywoodthat are 4'x8', how many total
1xl pieces can you get out if
you use all of them?

Answers

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

Final answer:

You can get a total of 192 pieces of 1'x1' plywood from six 4'x8' pieces.

Explanation:

To find the total number of 1'x1' pieces that can be cut from the 4'x8' plywood pieces, we need to find the total area of plywood available and then divide it by the area of the desired pieces.

First, calculate the area of one piece of plywood: 4 feet x 8 feet = 32 square feet.

Since there are 6 pieces, the total area of plywood is 6 x 32 square feet = 192 square feet.

Since each 1'x1' piece has an area of 1 square foot, you can get 192 1'x1' piecesout of all the plywood.

Learn more about Area Calculation here:

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