Question

1. Convert: (1 mark for a toc, 3 marks for d)

a) 14 yd. to feet
b) 5 mi to yards
c) 6 ft. 3 in to inches
d) 123 inches to yards, feet, and inches (Convert this to just one complete measurement For example, it is similar to the way a person would say that their height is 5 feet 6 inches tall.)
2. What is the approximate value of a cable that is 100 miles long if it costs $25/ per inch?
3. Matthew is 51 inches tall. Luke is 3 feet 11 inches tall. Who is taller?
4. How much will it cost to buy a rope that costs $3 for 2 inches that can reach the ground from the top of a building that is 19,500 feet tall?
5. Mike can swim 30 feet in 10 seconds. Can he swim 2 miles 75 yards in 1 hour?
6. Dave measured 108 inches from one end of the hallway to the other. How many yards of rug will he need to buy?
7. How many lanes 30 inches wide can a track have if the track is 10 yards wide?
8. John and Jim live in Saskatoon and want to go swimming at Wakaw Lake. On a map, one inch represents 40 miles. If the distance on the map between Saskatoon and Wakaw Lake is 2.5 inches, how many miles will they have to drive?
Assignment Grade: 127

Answer 1

a) 14 yards is equal to 42 feet. b) 5 miles is equivalent to 8,800 yards. c) 6 feet 3 inches is equal to 75 inches. d) 123 inches is 3 yards, 3 feet, and 3 inches. 2. The approximate cost of a 100-mile cable at $25 per inch is $21 million. 3. Matthew is taller than Luke, as 51 inches is greater than 47 inches. 4. The cost of a rope for a 19,500 feet tall building is $292,500. 5. Mike can swim 2 miles 75 yards in 1 hour. 6. Dave needs 3 yards of rug for a hallway measuring 108 inches. 7. A 10-yard wide track can have 10 lanes, each 30 inches wide. 8. The driving distance from Saskatoon to Wakaw Lake is 100 miles.

Step-by-step explanation:

a) 14 yards to feet:

Multiply 14 by 3 (since 1 yard = 3 feet).

Result: 14 yards = 42 feet.

b) 5 miles to yards:

Multiply 5 by 1,760 (since 1 mile = 1,760 yards).

Result: 5 miles = 8,800 yards.

c) 6 feet 3 inches to inches:

Multiply 6 by 12 (since 1 foot = 12 inches) and add 3.

Result: 6 feet 3 inches = 75 inches.

d) 123 inches to yards, feet, and inches:

Divide 123 by 36 (to get yards), then find the remainder for feet and inches.

Result: 123 inches = 3 yards, 3 feet, and 3 inches.

2. Approximate cost of a 100-mile cable:

Multiply 100 by 5,280 (since 1 mile = 5,280 feet) and then by $25 (cost per inch).

Result: Approximate cost = $21 million.

3. Matthew vs. Luke's height:

Compare heights: 51 inches (Matthew) vs. 47 inches (Luke).

Result: Matthew is taller.

4. Cost of rope for a 19,500 feet tall building:

Multiply 19,500 by $3 (cost per 2 inches).

Result: Cost = $292,500.

5. Can Mike swim 2 miles 75 yards in 1 hour:

Calculate the speed: 30 feet in 10 seconds.

Convert 2 miles 75 yards to feet and check if Mike can cover that distance in 1 hour.

Result: Yes, Mike can swim that distance in 1 hour.

6. Yards of rug Dave needs:

Divide 108 inches by 36 (to convert to yards).

Result: Dave needs 3 yards of rug.

7. Lanes on a 10-yard wide track:

Divide 10 by 30 (to convert inches to yards).

Result: The track can have 10 lanes.

8. Distance from Saskatoon to Wakaw Lake:

Multiply 2.5 by 40 (since 1 inch on the map represents 40 miles).

Result: Distance = 100 miles.