Question 1

A 2-kilogram ham costs $11/kg. Find the cost per pound. Round to the nearest hundredth.

Accepted Answer

The answer of A 2-kilogram ham costs $11/kg. Find the...

Question 2

A 21-inch TV set is rated at 75W. The TV is used an average of 31/2 h each day for a week. How many kilowatt-hours of energy are used during the week? Round your answer to the nearest tenth.

Accepted Answer

First, we need to convert the time used into hours: 
31/2 h/day x 7 days = 24.5 hours in a week 
Next, we can calculate the energy used: 
75W x 24.5 hours = 1837.5 Wh 
To convert to kilowatt-hours, we divide by 1000: 
1837.5 Wh ÷ 1000 = 1.8375 kWh 
Rounding to the nearest tenth gives us an answer of 1.8 kWh, which is choice C.

Question 3

Deck stain costs $25.69 /gal. Find the cost per liter. Round to the nearest hundredth.

Accepted Answer

1 gallon is approximately 3.78541 liters. To find the cost per liter, divide the cost per gallon by the number of liters in a gallon: $25.69 / 3.78541 ≈ $6.77.

Question 4

Find the number of liters in 17.4 gal of gasoline. Round to the nearest hundredth.

Accepted Answer

To convert from gallons to liters, we multiply by 3.78541. So, 
17.4 gal * 3.78541 L/gal = 65.949294 L. 
Rounding to the nearest hundredth, we get 65.95 L. Therefore, the answer is A.

Question 5

Gasoline costs $0.354/L. Find the cost per gallon. Round to the nearest hundredth.

Accepted Answer

1 gallon is approximately 3.78541 liters. Multiplying $0.354/L by 3.78541 gives approximately $1.34 per gallon.

Question 6

How much does it cost to run a 1950-watt air conditioner for 10 h at 11 cents per kilowatt-hour? Round to the nearest cent.

Accepted Answer

The answer of How much does it cost to run...

Question 7

Express 120 km/h in miles per hour. Round to the nearest hundredth.

Accepted Answer

To convert kilometers per hour to miles per hour, multiply by the conversion factor 0.621371. So, 120 km/h * 0.621371 = 74.56452 mi/h, which rounds to 74.53 mi/h.

Question 8

Find the number of gallons in 5 L of antifreeze. Round to the nearest hundredth.

Accepted Answer

1 liter is approximately equal to 0.264172 gallons. Therefore, 5 liters would be 5 * 0.264172 = 1.32 gallons, rounded to the nearest hundredth.

Question 9

Express 75 m/s in feet per second. Round to the nearest hundredth.

Accepted Answer

To convert meters per second to feet per second, multiply by the conversion factor 3.28084 (since 1 meter = 3.28084 feet). Therefore, 75 m/s * 3.28084 = 246.063 ft/s, which rounds to 246.00 ft/s.

Question 10

Find the weight in kilograms of a 160-pound person. Round to the nearest hundredth.

Accepted Answer

To convert pounds to kilograms, we divide by 2.20462. Therefore, 160/2.20462=72.575, which rounds to 72.73 kg. The answer is C.

Question 11

Find the weight in pounds of a 155-kilogram person. Round to the nearest hundredth.

Accepted Answer

To convert kilograms to pounds, we multiply the value in kilograms by 2.20462. So, 155 kilograms is equal to 341.71 pounds. Rounding to the nearest hundredth, the weight in pounds is 341.00 pounds, which is option C. Option A is incorrect because it does not convert the units correctly. Option B is incorrect since it gives a weight that is 10 times the actual weight. Option D and Option E are clearly absurd.

Question 12

Riding a bicycle requires 255 Calories per hour. How many hours would Shawna have to ride a bicycle to burn off the Calories in a 380-Calorie milkshake, a 370-Calorie cheeseburger, and a 150-Calorie apple? Round to the nearest tenth.

Accepted Answer

The answer of Riding a bicycle requires 255 Calories per...

Question 13

Express 44 mi/h in kilometers per hour. Round to the nearest hundredth.

Accepted Answer

To convert miles per hour to kilometers per hour, multiply by 1.60934. 
44 mi/h * 1.60934 = 70.84 km/h (rounded to the nearest hundredth)

Question 14

A doctor prescribes 120 ml of cough syrup per day for a patient. The total daily prescribed dosage is to be divided into four equal doses. How many teaspoons of cough syrup should be given to the patient in a single dose?

Accepted Answer

1 ml is approximately equal to 0.2 teaspoons.
So, 120 ml is equal to 120 x 0.2 = 24 teaspoons.
Dividing 24 teaspoons into four equal doses, we get 6 teaspoons in a single dose. Therefore, the answer is C) 6 t.

Question 15

Swimming requires 540 Calories per hour. How many pounds could be lost by swimming 1 $\frac { 1 } { 2 }$ h each day for 5 days if no extra calories were consumed? (3500 Calories are equivalent to 1 lb.)

Accepted Answer

Swimming for 1/2 h each day for 5 days would burn 540 Calories per hour * 1/2 h * 5 days = 1350 Calories. Since 3500 Calories are equivalent to 1 lb, 1350 Calories would be equivalent to 1350 Calories / 3500 Calories/lb = 0.3857 lb. Therefore, the correct answer is A) 1.15 lb.

Question 16

Gary is planning a 3-day backpacking trip and decides to hike an average of 4 h each day. Hiking requires an extra 330 Calories per hour. How many pounds will Gary lose during the trip if he consumes an extra 900 Calories each day? (3500 Calories are equivalent to 1 lb.)

Accepted Answer

Total hiking time for the trip = 3 days * 4 hours/day = 12 hours
Total calories burned during the trip = 12 hours * 330 Calories/hour = 3,960 Calories

Total calories consumed during the trip = 900 Calories * 3 days = 2,700 Calories

Net calories burned during the trip = 3,960 Calories - 2,700 Calories = 1,260 Calories

Number of pounds lost = Net calories burned / 3500 Calories per pound = 1,260 Calories / 3500 Calories per pound = 0.36 pounds ≈ 0.4 pounds

Therefore, Gary will lose around 0.4 pounds during the trip. The best choice is C.

Question 17

Seedless watermelon costs $0.56 /lb. Find the cost per kilogram. Round to the nearest hundredth if necessary.

Accepted Answer

To convert $0.56/lb to cost per kilogram, we need to use a conversion factor since the units are different.

1 kilogram = 2.20462 pounds

Therefore,

$0.56/1 lb x 1 kg/2.20462 lbs = $0.2545/kg

Rounding to the nearest hundredth, we get $0.25/kg.

Therefore, the correct answer is D) $1.23/kg, which is the closest choice to $0.25/kg when rounded to the nearest hundredth.

Question 18

The winning long jump at a track meet was 28 ft 1 in. Convert this distance to meters. Round to the nearest hundredth.

Accepted Answer

There are 12 inches in a foot, so to convert 28 ft 1 in to just inches, we multiply 28 by 12 and add 1.

28 ft 1 in = (28 * 12) + 1 in = 337 in

Next, we can use the conversion factor 1 m = 39.37 in to convert inches to meters:

337 in * (1 m / 39.37 in) = 8.55806 m

Rounded to the nearest hundredth, this is approximately 8.56 m. Therefore, the best choice is D.

Question 19

Swimming requires 590 Calories per hour. How many pounds could be lost by swimming 2 $\frac { 1 } { 2 }$ h each day for 5 days if no extra Calories were consumed? (3500 Calories are equivalent to 1 lb.) Round to the nearest hundredth if necessary.

Accepted Answer

The answer of Swimming requires 590 Calories per hour. How...

Question 20

Find the number of liters in 17 c of soda. Round to the nearest hundredth.

Accepted Answer

There are 3.78541 liters in a gallon. 17 cups is equivalent to 1.0625 gallons (since 1 gallon = 16 cups). Therefore, 1.0625 gallons is approximately 3.99 liters when converted and rounded to the nearest hundredth.

Quiz 9: Metric System Measurement