Let's solve the equation!
<span>3(x - 5) - 12 = 2(x - 6) + 2
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Use the distributive property, which states: a(b-c) = ab - ac
3x - 3(5) - 12 = 2x - 2(6) + 2
3x - 15 - 12 = 2x - 12 + 2
3x - 27 = 2x - 10
Subtract 2x on both sides
x - 27 = -10
Add 27 on both sides.
x = 17
When x = 17, the equation 3(x - 5) - 12 = 2(x - 6) + 2 is true.
Answer:
The sign that makes the sentence true is an equal sign, =.
Answer:
b and d
Step-by-step explanation:
parallel means go in the exact same direction and if they never ended, they would never touch
Answers:
- rate of the plane in still air = 770 km per hour
- rate of the wind = 130 km per hour
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Explanation:
p = speed of the plane in still air (i.e. without any wind)
w = speed of the wind
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If the plane flies against the wind, then it slows down from p to p-w
distance = rate*time
3200 = (p-w)*5
3200/5 = p-w
p-w = 640
p = 640+w
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If the plane flies with the wind, then it gets a speed boost going from p to p+w
distance = rate*time
6300 = (p+w)*7
6300/7 = p+w
900 = p+w
Now plug in p = 640+w and solve for w
900 = p+w
900 = 640+w+w
900 = 640+2w
2w+640 = 900
2w = 900-640
2w = 260
w = 260/2
w = 130
The wind is moving at a speed of 130 km per hour
p = 640+w = 640+130 = 770
The plane moves at a speed of 770 km per hour if there isn't any wind.