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Damm [24]
3 years ago
14

richard is filling his fish tank with water from a hose at the rate of 600 cubic inches per minute. how long will it take, to th

e nearest minute to fill the tank to a depth of 15 inches? Base =16 inches; width = 24 inches; height = 18 inches.
Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Answer:

10 minutes

Step-by-step explanation:

The question is on volume/capacity

Volume of the tank is given by = l×w× d where l is length, w is width and d is the depth

l=16 in  w= 24 in and d=15in

v=16×24×15 =5760 in³

<u>Time to fill tank</u>

Given that 600 in³= 1 min

                  5760 in³=?

=(5760×1) /600 = 9.6 min

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Which shows the expression below in simplified form? (5 × 10^5) × (7 × 10^-5)
katrin [286]

Answer:1,750,000,000

Step-by-step explanation:first the number ten to the fifth power is 1,000,000 then times five is 5,000,000. Then the number ten to the negative fifth power is 50 times seven is 350. 5,000,000 times 350 is 1,750,000,000

4 0
3 years ago
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
makkiz [27]

Answer:

L_o= 1500 cm

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

L_f = L_o (1-0.2)^t

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

L_f = 1500cm(0.8)^2 = 960cm

Step-by-step explanation:

For this case we know that the initial volume of water is:

L_o= 1500 cm

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

L_f = L_o (1-0.2)^t

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

L_f = 1500cm(0.8)^2 = 960cm

6 0
4 years ago
What percent of 80 is 20
Olenka [21]
25% is the answer
Hope this helps and
7 0
3 years ago
With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s
Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

  • when all three boys are standing on the scale, it reads 170 pounds.

A + B + C = 170 - Eq(1)

  • when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

B + C = 100 - Eq(2)

  • when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

C = 60

So we already knew the weight of boy C. (it was in the question all along)

C = 60 pounds

<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>

we can put this value back in Eq(2), to find the weight of boy B.

B + C = 100

B + 60 = 100

B = 100 - 60

B = 40

the

the weight of boy B (Ben) is B = 40 pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

A + B + C = 170

A + 40 + 60 = 170

A + 100 = 170

A = 170 - 100

A = 70

the weight of boy A (Adam) is A = 70 pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

7 0
4 years ago
You have a hemisphere with a volume of 6. What is the surface area with a sphere with the same diameter. Round to the nearest th
Vikki [24]

Answer:

(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)

For a sphere of radius R, the volume is:

V = (4/3)*pi*R^3

Where pi = 3.14

And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:

V = (1/2)*(4/3)*pi*R^3

We know that the volume of the hemisphere is 6 m^3, then we have the equation:

6 m^3 = (1/2)*(4/3)*3.14*R^3

Now we can solve this for R.

6 m^3 = 2.1*R^3

∛(6 m^3/2.1) = R = 1.41 m

The radius of the hemisphere is 1.41m

Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)

For a sphere of radius R, the surface is:

S = 4*pi*R^2

Then the surface of this sphere is:

S = 4*3.14*(1.41 m)^2 = 24.971 m^2

3 0
3 years ago
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