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sdas [7]
3 years ago
13

One student can paint a wall in 16 minutes. Another student can paint the same wall in 24 minutes. Working together, about how l

ong will it take for them to paint the wall?
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
Let's look at work rates per minute.

Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.

The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.

1/16 + 1/24 = 1/x

1/16 * 3/3 + 1/24 * 2/2 = 1/x

3/48 + 2/48 = 1/x

5/48 = 1/x

x = 48/5 = 9.6

Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.


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Area=pi times radius^2 so

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6 0
3 years ago
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6 0
3 years ago
in 2005, the total waste generated in a certain country was 3.474x10^9 pounds. also in 2005, the countrys population was 1.23x10
Serggg [28]

Answer:

2824

Step-by-step explanation:

Take the number of pounds and divide by the number of people:

3.474×10⁹ / 1.23×10⁶

Divide the coefficients and subtract the exponents:

(3.474 / 1.23) × 10⁹⁻⁶

2.824×10³

So the country produced about 2,824 pounds of garbage per person in 2005.

7 0
3 years ago
One third of a number x is equal to 22 less the number. Write and solve an equation to find the number. What would be the whole
zheka24 [161]
1/3(x)=22-x
x/3=22-x
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3 0
3 years ago
Please I really need help on this
Ilya [14]

Answer:

40%

Step-by-step explanation:

She has sold 20 items total.

Refrigerators: 8/20 = 40%

Dishwashers: 1/20 = 5%

Dryers: 11/20 = 55%

So there is a 40% chance she will sell another refrigerator! hope this helps!!

3 0
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