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MaRussiya [10]
4 years ago
6

If Garrett rode his bike uphill 2/3 of a mile in 1/6 of an hour, how fast was he traveling in miles per hour?

Mathematics
2 answers:
My name is Ann [436]4 years ago
7 0

Distance traveled by Garrett = \frac{2}{3} mile

Time taken to travel the distance = \frac{1}{6} hour

We have to find how fast was he traveling in miles per hour, means we have to calculate the speed.

Speed is a measure of how quickly an object moves from one place to another. It is equal to the distance traveled divided by the time.

Speed = Distance traveled \div Time taken

= \frac{2}{3} \div \frac{1}{6}

= \frac{2}{3} \times {6}

= 4 miles per hour

Therefore, Garrett traveled at the speed of 4 miles per hour.

11111nata11111 [884]4 years ago
6 0
You have to multiply by six to see how fast he is riding in mph. He is going 4 mph.
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Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

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

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
1 year ago
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Download pdf
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tamaranim1 [39]

Answer:

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