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ELEN [110]
3 years ago
15

Which of the following is equivalent to A. 23 C. 32 B. 2-3 D. 32

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Step-by-step explanation:

Equivalent to what so I dont know what would be the answer

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Charlie needs to drive to Dallas which is 240 miles. If he drives 60 miles
Eduardwww [97]

Answer:

4

Step-by-step explanation:

Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.

Now that we have converted the words into math, we are really solving 240 ÷ 60 or \frac{240}{60}.

240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.

Solving:

24 ÷ 6 = 4.

Thus, our answer is that it will take Charlie 4 hours to get to Dallas.

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Answer:

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Step-by-step explanation:

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3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

V = \frac{4}{3}\pi r^3

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
Two trains arrived at a station at 2:55 p.m., with one arriving on track a, and the other arriving on track
Sladkaya [172]
In 144 minutes, or at 5:19 pm, the trains will arrive at the same time again.
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3 years ago
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