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Stolb23 [73]
4 years ago
14

Ling lives 2 miles from school. It took him 15 minutes to bike from school to home. The first half of the distance he biked at a

speed of 12 mph. What was his speed for the remaining distance? What was his average speed?
Mathematics
1 answer:
alexdok [17]4 years ago
8 0
A) time = distance/speed
For the first half of the trip, the time used was
.. (1 mi)/(12 mi/h) = (1/12) h = 5 minutes
Then the last half of the trip took 10 minutes, 1/6 hour.
.. speed = distance/time
.. = (1 mi)/(1/6 h) = 6 mi/h

The speed for the last half of the trip was 6 mph.


b) The average speed was
.. (2 mi)/(1/4 h) = 8 mi/h

Ling's average speed was 8 mph.
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What is the problem for 2x- 3=- 2 (3/2- x)
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Let's solve your equation step-by-step.

<span><span><span>2x</span>−3</span>=<span><span>−<span>2<span>(<span>32</span>)</span></span></span>−x

</span></span>Step 1: Simplify both sides of the equation.

<span><span><span>2x</span>−3</span>=<span><span>−<span>2<span>(<span>32</span>)</span></span></span>−x

</span></span><span>Simplify: (Show steps)

</span><span><span><span>2x</span>−3</span>=<span><span>−x</span>−3

</span></span>Step 2: Add x to both sides.

<span><span><span><span>2x</span>−3</span>+x</span>=<span><span><span>−x</span>−3</span>+x

</span></span><span><span><span>3x</span>−3</span>=<span>−3

</span></span>Step 3: Add 3 to both sides.

<span><span><span><span>3x</span>−3</span>+3</span>=<span><span>−3</span>+3

</span></span><span><span>3x</span>=0

</span>Step 4: Divide both sides by 3.

<span><span><span>3x</span>3</span>=<span>03

</span></span><span>x=<span>0

Source: MATH PAPA

</span></span>
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