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dimaraw [331]
3 years ago
10

A swimming pool in the shape of a rectangular prism is filled with water. The pool measures 12 ft wide by 24 ft long by 6ft deep

. If the pool fills at a rate of 86 cubic feet per hour, approximately how many hours will it take to fill the pool
Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

<em>It takes 21 hours to fill the pool</em>

Step-by-step explanation:

Let's first plan out our problem at hand. If we were to determine the volume of this swimming pool by multiplication of it's dimensions (length * width * height) we could determine how long it would take to fill the pool by dividing this volume by the rate at which the pool fills. This is true as R = D/T, and here we isolate T (time) so that T = D/R, where D is the volume of the pool, and R is the rate at which it fills:

1. Calculate the volume of the pool -

V = length * width * height = 12 * 24 * 6 = 1728 cubic feet

2. Substitute R (rate) into T = D/R to find T (time) -

T = D/R = 1728/86 = (About) 20.09 hours

Now to round this value, we would have to round it up as sparing 20 hours would not fill the pool: 21 hours

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meriva

Company B; the ratios of cost to weight are equivalent.

Step-by-step explanation:

Step 1:

In the equation, y=kx k is the constant of proportionality.

If the values are in accordance with y=kx, the values of k will be constant for all the values.

So we determine the values of k for both the companies and see which has a constant k.

If y=kx, k = \frac{y}{x}. In these tables, y is the total cost and x is the weight in lbs.

Step 2:

For company A,

when y=10.55, x=1, k = \frac{10.55}{1} = 10.55,

when y=10.85, x=2, k = \frac{10.85}{2} = 5.425,

when y=11.15, x=3, k = \frac{11.15}{3} = 3.71666.

For company B,

when y=2.75, x=1, k = \frac2.75}{1} = 2.75,

when y=5.50, x=2, k = \frac{5.50}{2} = 2.75,

when y=8.25, x=3, k = \frac{8.25}{3} = 2.75.

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3 0
3 years ago
Suppose that there are 15 antennas in a store, of which 3 are defective. Assume all the defectives and all the functional antenn
ohaa [14]

Answer:

Step-by-step explanation:

Total number of antenna is 15

Defective antenna is 3

The functional antenna is 15-3=12.

Now, if no two defectives are to be consecutive, then the spaces between the functional antennas must each contain at most one defective antenna.

So,

We line up the 13 good ones, and see where the bad one will fits in

__G __ G __ G __ G __ G __G __ G __ G __ G __ G __ G __ G __G __

Each of the places where there's a line is an available spot for one (and no more than one!) bad antenna.

Then,

There are 14 spot available for the defective and there are 3 defective, so the arrange will be combinational arrangement

ⁿCr= n!/(n-r)!r!

The number of arrangement is

14C3=14!/(14-3)!3!

14C3=14×13×12×11!/11!×3×2

14C3=14×13×12/6

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3 years ago
Ased only on the information given in the diagram, which congruence theorems could be given as reasons why JOY ~ LIM? Check all
Nesterboy [21]
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How are the points (8,7) and (-8,7) related?
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Answer:

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8 0
3 years ago
Consider the sequence 6, 11, 16, 21 . . . . What is the 50th term in this sequence?
Damm [24]

Answer:

251

Step-by-step explanation:

Tn=5n+1

e.g.T1=5(1)+1

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e.g.T2=5(2)+1

=11

e.g.T3=5(3)+1

=16

e.g.T4=5(4)+1

=21

Answer:T50=5(50)+1

=251

5 0
3 years ago
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