Pens and Pencils Mrs. Charles ordered 150 pencils and 225 pens for the academy store. The pens cost 15 cents more than the pencils. Mrs. Charles’ total order was $135. Mrs. Charles was quite surprised by this amount as she thought the total would be $120.

If the cost of one pencil and one pen is 69 cents, who do you think is right, the supplier or Mrs. Charles? Support your answer with

mathematical evidence.

What is the cost of each pencil? Each pen? Support your answer with mathematical evidence.

Which value is not a solution of 8x^3 – 1 = 0

Solve the equation below: (x+4)/6x=1/x a. x=2 b. x=0,2 c. x=-2 d. x=0,-2

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.