Answer: k = -5
explanation-
distribute: -3k + -21 - 5k + 4= 23
combine: -8k -17 = 23
add 17 to both sides: -8k = 40
divide both sides by -8: k=-5
d = Diameter of wheels = 25 inches
s = Distance to be traveled by the wheels = 458 miles
Converting the miles to inches

The distance traveled by the wheels in rotation is the circumference

The number of rotations required to cover the distance would be

rotation is
so

The number of rotations to cover the required distance is 
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Answer:
7.3% percentage of the bearings produced will not be acceptable.
Step-by-step explanation:
Consider the provided information.
Average diameter of the bearings it produces is .500 inches. A bearing is acceptable if its diameter is within .004 inches of this target value.
Let X is the normal random variable which represents the diameter of bearing.
Thus, 0.500-0.004<X<0.500+0.004
0.496<X<0.504
The bearings have normally distributed diameters with mean value .499 inches and standard deviation .002 inches.
Use the Z score formula: 
Therefore



Now use the standard normal table and determine the probability of that a ball bearing will be acceptable.
We need to find the percentage of the bearings produced will not be acceptable.
So subtract it from 1 as shown.
1-0.9270=0.073
Hence, 7.3% percentage of the bearings produced will not be acceptable.
Answer:
12$ per lawn mowed
Step-by-step explanation:
Answer:
57 degrees.
Step-by-step explanation:
33 + 90 = 123.
180 - 123 = 57. Boom. Done.