Answer:
After 4.5 hours of driving at the same constant speeds, Drew and Rachel are 6.5 miles apart.
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Answer:
40 days
Step-by-step explanation:
Let x represent the original production time. Then 70x is the order quantity involved.
When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...
70x = 80(x -5)
70x = 80x -400
0 = 10x -400 . . . . . subtract 70x
0 = x -40 . . . . . . . . divide by 10
40 = x . . . . . . . . . . add 40
The original schedule was for production to take 40 days.
#13:
s² = 144
√(s²) = √144
|s| = 12
s = -12 OR s = 12
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#15 (not sure what letter you used so I went with 'g')
(g-6)² = 25
√[(g-6)²] = √25
|g-6| = 5
g - 6 = -5 OR g - 6 = 5
g = 1 OR g = 11
Answer:
<u>For this equation the value of x is - 2/3</u>
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
<u>x = -4/6 = - 2/3 (Simplifying)</u>
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
<u>It means the value of -2/3 for x is correct</u>
Note: Same answer than 13866851
