The output of a plant is 4335 pounds of ball bearings per week (five days). If each ball bearing weighs 0.0113 g, how many ball bearings does the plant make in a single day? (Indicate the number in proper scientific notation with the appropriate number of significant figures.) A)3.84 × 10⁵ B)7.67 × 10⁴ C)867 D)3.49 × 10⁷ E)2.91 × 10⁶

Question

Quizplus · Accepted Answer

To find the number of ball bearings produced in one day, we need to divide the total production of 4335 pounds by the number of days in a week (5):

4335 pounds/week ÷ 5 days/week = 867 pounds/day

Next, we need to convert pounds to grams, since the weight of the ball bearings is given in grams. There are 453.59 grams in a pound, so:

867 pounds/day × 453.59 grams/pound = 393,228.53 grams/day

Finally, we can divide the total weight of ball bearings produced in a day by the weight of each ball bearing to find the number of ball bearings:

393,228.53 grams/day ÷ 0.0113 g/ball bearing = 34,784,070.8 ball bearings/day

Since we want to express this number in scientific notation with the appropriate number of significant figures (three), we need to round it to 3.48 × 10^7 ball bearings/day, which is closest to choice D.

The Output of a Plant Is 4335 Pounds of Ball