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Convert inches to feet using the table. Jana can leap 36 inches above the ground. How many feet can Jana leap above the ground?

Inches 12 24 36 48 60
Feet 1 2 3 4 5
(1 point)
Responses

4
4

3
3

2
2

5

Use the ratio 1 meter = 100 centimeters. A town gets 200 centimeters of snow one winter. How many meters of snow does it get?(1 point)
Responses

1
1

20,000
20,000

2,000
2,000

2

Convert kilograms to pounds using the proportion 1 kilogram = 2.2 pounds. How many kilograms are equal to 72 pounds? Round to the nearest tenth of a kilogram.(1 point)
Responses

3.27
3.27

32.7
32.7

158.4
158.4

144

Use the ratio 1 meter is approximately equal to 1.09 yards. Martha runs 1,000 meters in a race. How many yards does Martha run?(1 point)
Responses

1,900
1,900

1,090
1,090

109
109

1,009
1,009

Delta drives at an average speed of 17 miles per hour through traffic. What is her speed in kilometers per hour if 1 kilometer is approximately equal to 0.62 miles? Round to the nearest tenth of a kilometer.(1 point)
Responses

10.5
10.5

2.7
2.7

27.4
27.4

17.6

1 answer

Let's go through each of these calculations step by step:

  1. Inches to Feet Conversion: Jana can leap 36 inches above the ground. Since 12 inches equals 1 foot, we can convert inches to feet by dividing by 12. \[ \text{Feet} = \frac{36 \text{ inches}}{12 \text{ inches/foot}} = 3 \text{ feet} \] The correct response is 3.

  2. Centimeters to Meters Conversion: A town gets 200 centimeters of snow. We know that 100 centimeters equals 1 meter. Thus: \[ \text{Meters} = \frac{200 \text{ centimeters}}{100 \text{ centimeters/meter}} = 2 \text{ meters} \] The correct response is 2.

  3. Pounds to Kilograms Conversion: To find out how many kilograms are equal to 72 pounds, we use the proportion 1 kilogram = 2.2 pounds. We rearrange this to find kilograms: \[ \text{Kilograms} = \frac{72 \text{ pounds}}{2.2 \text{ pounds/kilogram}} \approx 32.727 \text{ kilograms} \] Rounding to the nearest tenth gives us approximately 32.7 kilograms. So, the correct response is 32.7.

  4. Meters to Yards Conversion: Martha runs 1,000 meters. To find out how many yards this is, we can multiply by the conversion factor (1 meter = 1.09 yards): \[ \text{Yards} = 1,000 \text{ meters} \times 1.09 \text{ yards/meter} = 1,090 \text{ yards} \] The correct response is 1,090.

  5. Miles to Kilometers Conversion: Delta drives at an average speed of 17 miles per hour. To convert this to kilometers per hour, we use the conversion factor (1 mile ≈ 0.62 kilometers). Hence, we can rearrange this to convert miles to kilometers: \[ \text{Kilometers per hour} = \frac{17 \text{ miles}}{0.62 \text{ miles/kilometer}} \approx 27.4 \text{ kilometers/hour} \] The correct response is 27.4.

Here’s the summary of the answers:

  1. 3 feet
  2. 2 meters
  3. 32.7 kilograms
  4. 1,090 yards
  5. 27.4 kilometers per hour