Answer:
Those points are
units apart.
So 1 and 1/2 divided by 1/8. That’s the same as 3/2 divided by 1/8.
Keep change flip.
3/2 x 8/1
24/2= 12
The answer should be D
Step by Step: |2x-2| <(or equal to) 6
Add 2 on both sides should give you, |2x| < 8
Divide both sides by 2, giving you 4
Other way, is doing the same but -2
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given

Required
Determine an equivalent or nonequivalent expression

We have:

Apply law of indices

<em>This is not equivalent to </em>
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We have:

Apply law of indices

<em>This is not equivalent to </em>
<em></em>
<em></em>
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We have:
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Apply law of indices
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<em>Evaluate the numerator</em>
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<em>This is an equivalent expression</em>