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12. a mechanic has a radiator hose that measures 32 feet long. it needs…

Question

  1. a mechanic has a radiator hose that measures 32 feet long. it needs to be cut into pieces equaling 5 feet 3 inches. how many whole pieces can it be cut into?
  2. it takes 11 widgets to assemble one motor. your team can assemble 4 motors in 1 day. if you need to order parts for next week, and each week is 5 working days, how many widgets should you order?
  3. you are employed at a grain processing plant that sells cornmeal for $1.28 per pound. if a sack of cornmeal weighs 4 pounds 12 ounces, how much does it cost?
  4. it takes 2.5 yards of material to make a dress. harleys clothing design estimates that they can produce 48 dresses each week. if there are 52 weeks in a year, how much material will they need to purchase to make dresses for a year?
  5. a board that measures 3/4 feet long is cut into 6 equal pieces. what is the length of each piece?
  6. a carpet cleaner charges $0.70 per square foot to clean carpet. in the next house she is going to clean, the living room measures 18 feet by 24 feet. how much will she charge?
  7. a glass company is to make a panel of glass for a front door. what is the area of the glass panel if it is 120 cm long and 20 cm wide?
  8. a builder needs to tile a 7 - foot - by - 8 - foot room with one - foot square tiles. how many tiles will she need? type your answer into the box. ______ tiles

Explanation:

Response
12.

Step1: Convert 5 feet 3 inches to feet

1 inch = 1/12 feet, so 3 inches = 3/12 = 0.25 feet. Then 5 feet 3 inches = 5 + 0.25=5.25 feet.

Step2: Divide the total length by the length of each piece

Number of pieces = 32÷5.25=$\frac{32}{\frac{21}{4}}=\frac{128}{21}\approx6.095$. The number of whole - pieces is 6.

Step1: Calculate the number of motors assembled in a week

The team can assemble 4 motors per day and there are 5 working days in a week. So the number of motors assembled in a week is 4×5 = 20 motors.

Step2: Calculate the number of widgets needed

It takes 11 widgets to assemble one motor. So the number of widgets needed for 20 motors is 11×20=220 widgets.

Step1: Convert 4 pounds 12 ounces to pounds

1 ounce = 1/16 pounds, so 12 ounces = 12/16 = 0.75 pounds. Then 4 pounds 12 ounces = 4 + 0.75 = 4.75 pounds.

Step2: Calculate the cost

The corn - meal sells for $1.28 per pound. So the cost of a 4.75 - pound sack is 1.28×4.75 = 1.28×(4 + 0.75)=1.28×4+1.28×0.75 = 5.12+0.96 = 6.08 dollars.

Answer:

6

13.