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allsm [11]
3 years ago
7

it takes a hose 4 minutes to fill a rectangle 9inc long, 11inches wide and 12 inches tall, how long will it take to fill an aqua

rium 24 by 25 by 33 inches tall
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0
OK the problem is focusing on VOLUME and TIME.. you can set up this problem like this... (v1/t1) x (v2/t2). first we plug in what we know. the first container was filled in 4 minutes so this is our "T1". However we weren't giving the volume of the first container but we were given its dimensions. the volume formula is LxWxH. so we plug in 9x11x12 to get 1188. this is our "V1". the same concept applies for the volume of the aquarium. we have its dimensions so just plug in. 24x25x33 = 19800 this is our "V2". the thing we are left trying to find is T2. so now you can do some cross multiplying and division. (T1xV2)/V1 or (4x19800)/1188 and you get 66.67min or 1h and 6.67mins. and thats how long it took to fill the aquarium.
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3 years ago
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Ksenya-84 [330]

Answer:

Solutions:-5,0,9,6

Not solutions: 12.5,10

Explanation:

The inequality that was given is:

20 > 5 + 3x

First, group similar terms;

20 - 5 < 3x

15 < 3x

x = 5

Thus, the solutions are:-3.5, 5, 4 3/4, -15

The not solutions are:-10 2/3, 129,

Hope this helps! :)

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3 years ago
Find the mean, median and range of the following list of values and choose the correct result.
nevsk [136]

Answer:

The mean or average is 9.5 for this set of data.  The median is 10.5 and the range is 5.

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4 years ago
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Viefleur [7K]

Answer:

9

Step-by-step explanation:

1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.

2.)Add 24 to 120 to get the new amount of people in the room. So 144.

3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.

4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9

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3 years ago
What is the surface area of this triangular pyramid?
lidiya [134]

<em>48.25 in^2</em>

Step-by-step explanation:

The formula for the surface area of a pyramid is:

SA=B+\frac{1}{2}l(number of base sides)(b)

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.

A=\frac{1}{2}bh

A=.5*5*4.3

A = 10.75

Now we can plug in 10.75 for B.

SA=10.75+.5*5*3*5

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

SA=

48.25 in^2

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3 years ago
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