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3 years ago

Mr. Smith estimates that

Mathematics

2 answers:

OLEGan [10]3 years ago

5 0

Answer:

B. 7.5 hours

Step-by-step explanation:

Assuming that both hoses fill at the same rate, then by simple proportion,

To raise the pool by 1 foot of water:

1 hose ---> takes 3 hours

2 hoses ----> fills twice as fast ---> will take half the time ---> 3/2 = 1.5 hrs

Hence with 2 hoses, it will take 1.5 hours to fill 1 foot of water.

to fill 5 feet of water, we will need 1.5 hours x 5 feet = 7.5 hours

PSYCHO15rus [73]3 years ago

3 0

Answer:

12.5

Step-by-step explanation:

visualizing the hours and amount of water by foot being poured into the pool you can see that 3 and 7.5 hours is too small and 15 is too large.

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Dividing 4x by 4 isolates x on one side of the equation

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3 years ago

What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4

Ipatiy [6.2K]

Answer:

$y= 7(x+5)^2 -4$

The vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

Step-by-step explanation:

For this case we have the following function:

$y= 7(x+5)^2 -4$

And we need to take in count that the vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

4 0

3 years ago

If the circumference of a circle is 36π, what is the length of a radius of the circle?

m_a_m_a [10]

Answer:

The answer is 6 (A)

Step-by-step explanation:

The exact answer is 5.73, but I think in the question they are rounding to the nearest whole number, so the rounded answer is 6.

My work:

C = 2πr

r = C

2π = 36

2·π = 5.72958

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3 years ago

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kykrilka [37]

Answer:

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Step-by-step explanation:

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Five buses leave on a field trip .There are about 45 students per bus.About how many students are on the 5 buses.

dangina [55]

45 x 5 = 225 so 225 students altogether on 5 buses

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3 years ago

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