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Brut [27]
3 years ago
14

I drove to my parents' house at 60 miles per hour. if i had driven 50 miles an hour instead, then i would have gotten there 40 m

inutes later. how many miles did i drive?
Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0
Use distance = rate x time

Let "t" be the time it took for you to drive to your parent's house at 60mph.

So 60t would be the distance.

And "t+40" would be the time it took for you to get to your parent's house at 50 mph.  And that total distance would be 50(t+40).

Since both the distances are the same, this gives us the equation:

60t = 50(t+40)

Simplify:  60t = 50t + 2000
10t = 2000
t = 200 minutes

Driving at 60 mph for 200 minutes equates to a total distance of 200 miles.
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The city council plans to build a new water storage tank for the community. The tank is cylindrical with a base diameter of 25 f
Stella [2.4K]

Answer:

a. 14726.216ft^{3}

b. 110446.62gal

Step-by-step explanation:

I attach the diagram of the new water tank.

a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures 25ft and its height is 30ft.

The volume ''V'' of a cylinder is :

V=(\frac{\pi D^{2}}{4}).(H)

Where ''D'' is the diameter of the base and ''H'' is the height of the cylinder.

If we replace all the data in the equation :

V=\frac{\pi .(25ft)^{2}}{4}.(30ft)=14726.216ft^{3}

We found out that the volume of the tank in cubic feet is 14726.216ft^{3}

b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.

This equivalence is given to us :

1ft^{3}=7.5gal ⇒ Using the equivalence ⇒

(14726.216ft^{3}).(\frac{7.5gal}{1ft^{3}})=110446.62gal

Finally, the new tank will hold 110446.62gal of water.

7 0
3 years ago
Subtract 2y - 3 from 8y-2.
ivolga24 [154]

Answer:

2(3y-2)

Step-by-step explanation:

Collect like terms

6y-4

Simple terms

2(3y-2)

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3 years ago
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dolphi86 [110]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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a banana contains 105 calories.last week,brendan and lea ate a total of 14 bananas.how many calories does this represent?
Crank
Well if they ate a total of 14 bananas and each banana is 105 calories, that means that you have to multiply 105 calories by 14 bananas. The answer is 1470 calories.
8 0
3 years ago
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zysi [14]
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So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

x^2 + (60)^2 = (100)^2

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x^2 = 6400

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Each smaller right triangle has side lengths of 60, 80, 100

Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.

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3 years ago
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