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ipn [44]
3 years ago
15

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?
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

<em>6 days</em>

<em></em>

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 = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\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 \times 2= <em>6 days</em>

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kotykmax [81]
145.95 - 2x = -4.05
subtract -145.95 from both side of the equation
-2x = -4.05 - 145.95
-2x = -150
Divide both sides by -2
-2x/2 = -150/2

x = 75
Final answer

Hope this helps!!!!
3 0
3 years ago
The table shows a pattern of exponents.<br><br> What is the pattern as the exponents decrease?
Marrrta [24]

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the pattern as the exponent decreases.

the first value in the table is 125.

if we divide 125 by 5 i.e 125/5 we get 25

the next value in the table is 25

if we divide 25 by 5 i.e 25/5 we get 5

the next value in the table is 5

if we divide 5 by 5 i.e 5/5 we get 1

the next value in the table is 1

if we divide 1 by 5 i.e 1/5 we get 1/5

the next value in the table is 1/5

if we divide 1/5 by 5 i.e 1/5*5 we get 1/25

the next value in the table is 1/25

So, the pattern is if we divide the previous value by 5 we get the next value in the table.

So, Option C is correct.

5 0
2 years ago
Read 2 more answers
Solve 4+x/7=2 50 points
user100 [1]

Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.

Step-by-step explanation:

5 0
2 years ago
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How can I solve this?!
Nutka1998 [239]

A

evaluate f(5) and f(2)

f(5) = 5m + b and f(2) = 2m + b, hence

f(5) - f(2) = 5m + b - 2m - b = 3m

the expression simplifies to

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3m = 6 ( divide both sides by 3 )

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8 0
3 years ago
A house purchased for $216,500 gains 2% of its value every year. If this growth rate continues, in how many years will the house
NikAS [45]

Answer: 36 years

Step-by-step explanation:

You can use the Rule of 72 to calculate how long it might take the house to double in value.

The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:

= 72 / 2

= 36 years

3 0
3 years ago
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