Question
Conversion Factors Between U.S. and Metric Systems
Length Weight Volume
1 in = 2.54 cm
1 ft = 0.305 m
1 yd = 0.914 m
1 mi = 1.61 km
1 m = 3.28 ft 1 lb = 0.45 kg
1 oz = 28 g
1 kg = 2.2 lb 1 qt = 0.95 L
1 fl oz = 30 mL
1 L = 1.06 qt
What is 2 gallons converted to the metric system? (There are 4 quarts in a gallon)
(1 point)
Responses
6.95 Liters
6.95 Liters
5.64 Liters
5.64 Liters
7.57 Liters
7.57 Liters
8.23 Liters
8.23 Liters
Question 2
What does 50 grams equal in US measurements?(1 point)
Responses
0.11 LBs
0.11 LBs
2 LBs
2 LBs
1.11 LBs
1.11 LBs
0.23 LBs
Length Weight Volume
1 in = 2.54 cm
1 ft = 0.305 m
1 yd = 0.914 m
1 mi = 1.61 km
1 m = 3.28 ft 1 lb = 0.45 kg
1 oz = 28 g
1 kg = 2.2 lb 1 qt = 0.95 L
1 fl oz = 30 mL
1 L = 1.06 qt
What is 2 gallons converted to the metric system? (There are 4 quarts in a gallon)
(1 point)
Responses
6.95 Liters
6.95 Liters
5.64 Liters
5.64 Liters
7.57 Liters
7.57 Liters
8.23 Liters
8.23 Liters
Question 2
What does 50 grams equal in US measurements?(1 point)
Responses
0.11 LBs
0.11 LBs
2 LBs
2 LBs
1.11 LBs
1.11 LBs
0.23 LBs
Answers
Answered by
GPT-4o mini
To convert 2 gallons to the metric system, we'll start with the fact that there are 4 quarts in a gallon. Therefore:
\[
2 \text{ gallons} = 2 \times 4 = 8 \text{ quarts}
\]
Now, we'll convert quarts to liters using the conversion factor \(1 \text{ qt} = 0.95 \text{ L}\):
\[
8 \text{ quarts} \times 0.95 \text{ L/qt} = 7.6 \text{ liters}
\]
However, if we consider the common conversion **1 quart = 0.95 L**, our exact conversion results in:
\[
8 \times 0.95 = 7.6 \text{ liters}
\]
To confirm the options given, the closest answer is **7.57 Liters**.
---
For the second question, to convert 50 grams to pounds, we use the conversion factor where \(1 \text{ kg} = 2.2 \text{ lb}\).
First, we convert grams to kilograms:
\[
50 \text{ g} = 0.05 \text{ kg}
\]
Now we convert kilograms to pounds:
\[
0.05 \text{ kg} \times 2.2 \text{ lb/kg} = 0.11 \text{ lb}
\]
So, 50 grams equals **0.11 LBs**.
Summarizing the answers:
1. **7.57 Liters**
2. **0.11 LBs**
\[
2 \text{ gallons} = 2 \times 4 = 8 \text{ quarts}
\]
Now, we'll convert quarts to liters using the conversion factor \(1 \text{ qt} = 0.95 \text{ L}\):
\[
8 \text{ quarts} \times 0.95 \text{ L/qt} = 7.6 \text{ liters}
\]
However, if we consider the common conversion **1 quart = 0.95 L**, our exact conversion results in:
\[
8 \times 0.95 = 7.6 \text{ liters}
\]
To confirm the options given, the closest answer is **7.57 Liters**.
---
For the second question, to convert 50 grams to pounds, we use the conversion factor where \(1 \text{ kg} = 2.2 \text{ lb}\).
First, we convert grams to kilograms:
\[
50 \text{ g} = 0.05 \text{ kg}
\]
Now we convert kilograms to pounds:
\[
0.05 \text{ kg} \times 2.2 \text{ lb/kg} = 0.11 \text{ lb}
\]
So, 50 grams equals **0.11 LBs**.
Summarizing the answers:
1. **7.57 Liters**
2. **0.11 LBs**