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NemiM [27]
3 years ago
9

Suppose that a large pumpkin empty a swimming pool in 40 hours and that a small pumpkin empty a pool and 70 hours working togeth

er how long will it take to empty the pool
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

Total 25.45 hours will be taken to empty the pool.

Step-by-step explanation:

Time taken by large pumpkin to empty the pool=40 hours

Time taken by the smaller pumpkins to empty the pool=70 hours

Amount of pool emptied by large pumpkin in one hour=\frac{1}{40}

Amount of pool emptied by small pumpkin in one hour=\frac{1}{70}

Amount of pool emptied in one hour if both pumpkins work together=

\frac{1}{40}+ \frac{1}{70}

=\frac{11}{280}

Therefore, the no. of days will be the reciprocal of the amount of work done in one hour ie . \frac{280}{11}

Total 25.45 hours will be taken to empty the pool.

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A circle has an arc of length 20π that is intercepted by a central angle of 180°. What is the radius of the circle?
Bond [772]

Answer:

10π

Step-by-step explanation:

RULE:  The angle measure of the central angle is congruent to the measure of the intercepted arc.  

RULE:  Central Angle = Arc length

Given:  

Arc length (20 π) = central angle (180)

we know 180 degrees is a straight line, thus a semi-circle is created.  This would be the diameter.  

1/2 diameter is the radius.  20π/2 is the radius.  

10π

8 0
3 years ago
Find a linear equation to model this real-world application:
SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

<em><u>Solution:</u></em>

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

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3 years ago
There are 9 classes of 25 students each, 4 teachers, and two times as many chaperones as teachers.
densk [106]

5 buses is the answer pls mark me brainliest

8 0
3 years ago
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Gala2k [10]
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6 0
3 years ago
Read 2 more answers
Can anyone help me ASAP!
krek1111 [17]

Answer:

11,12

Step-by-step explanation:

when calculated, the square root is 11.7473401245, which is between the two integers, 11 and 12!

Hope this helps!

6 0
2 years ago
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