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inysia [295]
3 years ago
7

a 18,000 - gallon pool is being filled at a rate of 20 gallons per minute. At this rate ,how many minutes will it take to fill t

his pool 2/5 full ? plssssssss help me
Mathematics
1 answer:
Ahat [919]3 years ago
4 0
The total capacity of the pool = 18000 gallon
The total volume of the pool when calculated to 2/5 = (2/5) * 18000
                                                                                   = 35000/5 gallons
                                                                                   = 7200 gallons.
Now it is given in the problem that that
Rate at which the pool is filled with water = 20 gallons per minutes
Then
20 gallons of water is filled in = 1 minute
So
7200 gallons of water will be filled in = 7200/20 minute
                                                           = 720/2 minute
                                                           = 360 minute
So 360 minute is required to fill the pool with 2/5 of the total volume of water.
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Use the formula for the difference of cubes to show that 125 - 27 = 98
IrinaVladis [17]

The formula is

a^3 - b^2 = (a - b)(a^2 + ab + b^2)  so plugging in  the given values:-

a = cube root of 125 = 5 and b = cube root of 27 = 3 ,  we get:-

125 - 27 = (5 - 3)(5^2 + 5*3 + 3^2)

= 2 * 49

= 98   answer

3 0
3 years ago
Solve by any method (graphing, substitution or linear combination)
Lostsunrise [7]

Answer:

b) (5, -3)

Step-by-step explanation:

The given equations are;

y=x-8...(1)

2x+3y=1...(2)

I prefer using substitution because of the first equation.

Put equation (1) into equation (2) to obtain;

2x+3(x-8)=1

We expand the parenthesis to obtain;

2x+3x-24=1

Group similar terms to get;

2x+3x=1+24

Simplify

5x=25

Divide through by 5;

x=\frac{25}{5}

\Rightarrow x=5

Put x=5 into equation (1) to get;

y=5-8

\Rightarrow y=-3

The solution is (5,-3).

The correct answer is B

8 0
3 years ago
Logic You find that the product of 93 and 6 is 558. He can you use addition to check your answer ? How can you use division yo c
frozen [14]
Addition: 93 can be added six times to determine the total

and division can be used to check your answer since it's the inverse operation of multiplication...take your solution of 558 and divide it by 6 (or 93) to see if 93 times six equals 558
3 0
3 years ago
Range of 12 13 19 16 32 15 13
xz_007 [3.2K]

Answer:

20

The range of a set of data is the highest number - the smallest number

32 - 12 = 20

The range is 20

6 0
3 years ago
Read 2 more answers
In the diagram below, points A and B are 3 inches apart. Try to find two points that are 1 inch from point A
____ [38]

Answer:

It is impossible to find two points that are both 1 inch and 1.5 inches from the point A simultaneously as shown in the following proof

From segment addition postulate given a point C that is between the points of a segment AB, we have;

AC + CB = AB

Therefore, where AC = 1 inch and CB = 1.5 inches, we have;

AC + CB = 1 inch + 1.5 inches = 2.5 inches ≠ AB = 3 inches

However it is possible to find two points in which one of the points is 1 inch from the point A while the other point is 1.5 inches from the point B

Step-by-step explanation:

8 0
3 years ago
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