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rewona [7]
3 years ago
6

What is the first step in solving this problem 7?

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0
Your first step is C. Find a common denominator
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A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. two hours later, a cyclist sta
valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

 

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

 

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

 

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

 

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

8 0
3 years ago
Lacie is filling a bucket with water.
ella [17]

Answer: Option A) liters

Step-by-step explanation:

Liters is the standard unit of measurement for volume. Metres, on the other hand, is the standard unit of measurement for length, height, width or distance traveled.

So, since we are to me measure the amount (volume) of water in Lacie's bucket, liters is the standard unit to used.

4 0
3 years ago
The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th
AlexFokin [52]

Answer:

The volume of the cylinder is 900 cubic inches

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Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

V_1 = 300in^3

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

V_1 = \frac{1}{3}\pi r^2h

The volume of a cylinder is calculated as:

V_2 = \pi r^2h

Since, the cone and cylinder have the same dimensions, we can substitute \pi r^2h for V_2 in V_1 = \frac{1}{3}\pi r^2h

So, we have:

V_1 = \frac{1}{3} * V_2

Multiply both sides by 3

3 * V_1 = \frac{1}{3} * V_2 * 3

3 * V_1 = V_2

V_2 = 3 * V_1

Substitute 300in^3 for V_1

V_2 = 3 * 300in^3

V_2 = 900in^3

<em>Hence, the volume of the cylinder is 900 cubic inches</em>

6 0
3 years ago
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