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densk [106]
3 years ago
14

Elam can wire a light in 40

Mathematics
2 answers:
NeX [460]3 years ago
6 0

Answer:

24 minutes

Step-by-step explanation:

We use 1/a + 1/b = 1/c

where a and b are the individual times and c is the time together

1/40 + 1/60 = 1/c

Multiply each side by 120c

120c( 1/40 + 1/60 = 1/c)

3c + 2c = 120

5c = 120

Divide each side by 5

5c/5 = 120/5

c = 24

zvonat [6]3 years ago
5 0

Answer: 24 minutes

Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.

Since Elam can wire a light in 40 minutes, we know that in 1 minute,

Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.

Therefore, in <em>t</em> hours, Elam can wire t/40 of the light.

The same applies for Michael, in <em>t</em> hours, he can wire t/60 of the light.

So to solve the problem, we use the following formula:

Part of job done by Elam + part of job done Michael = 1 job done

The part of the job done by Elam is t/40 and t/60 for Michael.

So we have t/40 + t/60 = 1.

Now multiply both sides by 120 to get 3t + 2t = 120

or 5t = 120 so t = 24.

So it takes 24 minutes if they work together.

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Rina8888 [55]

Answer:216

Step-by-step explanation:

We let x to represent the number of other nuts

Peanut : other

5 : 3

360 : X

Then we cross multiply

5 × x = 360 × 3

5X = 1080

Divide bothside by 5

5X/5 = 1080/5

X = 216

Therefore the number of other nuts in the can is 216.

3 0
3 years ago
What is <br> 0.24x − 1.85 3.09 − 2.33x  = 1.71
Law Incorporation [45]
Was the variable "y" supposed to be part of this equation?  If so, perhaps you meant to share the following:

<span>   0.24x − 1.85y = 3.09
− 2.33x  = 1.71y

Plese, go back and reread the original question, and then ensure you have shared that question here precisely as it was presented.</span>
6 0
3 years ago
Suppose you can afford only $200 a month in car payments and your best loan option is a 60-month loan at 3%. How much money coul
g100num [7]

Answer:

  $11,130.47

Step-by-step explanation:

The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.

  A = P(r/12)/(1 -(1 +r/12)^(-n))

Filling in your values, we get ...

  200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)

  P = 200(1 -1.0025^-60)/.0025 ≈ 200×55.6523577

  P ≈ 11,130.47

The present value of the loan is $11,130.47.

8 0
3 years ago
Quadrilateral A and B are scaled copies of each other. Quadrilateral A has side lengths of 2, 3, 5, and 6. Quadrilateral B's lon
harkovskaia [24]

Answer:

Quadrilateral A has side lengths 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8, and 10. Could one of the quadrilaterals be a scaled copy of the other ...

4 0
3 years ago
A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width of 10 inches, and a height of 1 i
Aleks04 [339]

Answer:

140 inches

Step-by-step explanation:

The formula for volume or a rectangular prism is v=lwh

Length = 14

Width= 10

Height= 1

Multiplying them together gives you the volume which is 140

6 0
3 years ago
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