8.
A factory produces
2.3×10
5
marbles per hour. How many marbles will be produced after 200 hours?
200 marbles
4.3×10
10
marbles
223×10
5
marbles
4.6×10
7
marbles
7 answers
The correct answer is 4.6×10^7 marbles.
can you show me a step by step
Of course! Here is a step-by-step guide to finding the number of marbles produced after 200 hours:
1. Given: Production rate = 2.3 × 10^5 marbles per hour, Number of hours = 200.
2. Convert 200 to scientific notation: 200 = 2 × 10^2.
3. Multiply the production rate by the number of hours: (2.3 × 10^5) × (2 × 10^2).
4. Multiply the coefficients: 2.3 × 2 = 4.6.
5. Add the exponents: 5 + 2 = 7.
6. Rewrite the result in scientific notation: 4.6 × 10^7.
7. Therefore, the factory will produce 4.6 × 10^7 marbles after 200 hours.
1. Given: Production rate = 2.3 × 10^5 marbles per hour, Number of hours = 200.
2. Convert 200 to scientific notation: 200 = 2 × 10^2.
3. Multiply the production rate by the number of hours: (2.3 × 10^5) × (2 × 10^2).
4. Multiply the coefficients: 2.3 × 2 = 4.6.
5. Add the exponents: 5 + 2 = 7.
6. Rewrite the result in scientific notation: 4.6 × 10^7.
7. Therefore, the factory will produce 4.6 × 10^7 marbles after 200 hours.
9.
The distance from the Sun to Mars is about 2.146 x 1011 meters.
The speed of light is approximately 2.9 x 108 meters per second.
Dr. Longshot wants to know how many seconds it will take for light to travel from the Sun to Mars.
She knows she can divide the distance by the speed to find this number.
Approximately how many seconds will it take for a beam of light to travel from the Sun to Mars?
Write your answer scientific notation
The distance from the Sun to Mars is about 2.146 x 1011 meters.
The speed of light is approximately 2.9 x 108 meters per second.
Dr. Longshot wants to know how many seconds it will take for light to travel from the Sun to Mars.
She knows she can divide the distance by the speed to find this number.
Approximately how many seconds will it take for a beam of light to travel from the Sun to Mars?
Write your answer scientific notation
To find the number of seconds it will take for light to travel from the Sun to Mars, we can divide the distance between them by the speed of light.
Given: Distance from the Sun to Mars = 2.146 x 10^11 meters, Speed of light = 2.9 x 10^8 meters per second
Step 1: Divide the distance by the speed of light:
(2.146 x 10^11 meters) / (2.9 x 10^8 meters per second)
Step 2: Divide the coefficients: 2.146 / 2.9 = 0.7393103448275862
Step 3: Subtract the exponents: 11 - 8 = 3
Step 4: Rewrite the result in scientific notation: 0.7393103448275862 x 10^3
Therefore, it will take approximately 0.7393103448275862 x 10^3 seconds for a beam of light to travel from the Sun to Mars.
Given: Distance from the Sun to Mars = 2.146 x 10^11 meters, Speed of light = 2.9 x 10^8 meters per second
Step 1: Divide the distance by the speed of light:
(2.146 x 10^11 meters) / (2.9 x 10^8 meters per second)
Step 2: Divide the coefficients: 2.146 / 2.9 = 0.7393103448275862
Step 3: Subtract the exponents: 11 - 8 = 3
Step 4: Rewrite the result in scientific notation: 0.7393103448275862 x 10^3
Therefore, it will take approximately 0.7393103448275862 x 10^3 seconds for a beam of light to travel from the Sun to Mars.
wight 0.7393103448275862 x 10^3 in correct scientific notation
Apologies for the mistake. The correct scientific notation for 0.7393103448275862 x 10^3 is 7.393103448275862 x 10^2.
Therefore, it will take approximately 7.393103448275862 x 10^2 seconds for a beam of light to travel from the Sun to Mars.
Therefore, it will take approximately 7.393103448275862 x 10^2 seconds for a beam of light to travel from the Sun to Mars.