If there is a sample of pennies that has a mass of 857.2 g. What is the average mass of a penny that is 2.73 g. How many pennies are in the sample?
after you get the answer you would have to(round up to the nearest whole number)
To get the number, round 857.2/2.73 to the nearest whole number.
Need answer
To find the average mass of a penny, divide the total mass of the sample by the mass of each penny.
Average mass of a penny = Total mass of the sample / Mass of each penny
Average mass of a penny = 857.2 g / 2.73 g
Calculating the average mass of a penny:
Average mass of a penny = 314.56
Rounding up to the nearest whole number gives an average mass of 315 g per penny.
To calculate the number of pennies in the sample, divide the total mass of the sample by the average mass of a penny.
Number of pennies = Total mass of the sample / Average mass of a penny
Number of pennies = 857.2 g / 315 g
Calculating the number of pennies in the sample:
Number of pennies = 2.7253968253968253
Rounding up to the nearest whole number, there are approximately 3 pennies in the sample.
To find the average mass of a penny and the number of pennies in the sample, we can use the formula:
Average mass = Total mass / Number of pennies
Given that the total mass of the sample is 857.2 g and the mass of a single penny is 2.73 g, we can rearrange the formula to solve for the number of pennies:
Number of pennies = Total mass / Mass of a single penny
Now let's calculate the average mass and the number of pennies step by step:
1. Average mass:
Average mass = Total mass / Number of pennies
Average mass = 857.2 g / 2.73 g
Calculating the division: Average mass ≈ 314.628 g/penny
2. Number of pennies:
Number of pennies = Total mass / Mass of a single penny
Number of pennies = 857.2 g / 2.73 g
Calculating the division: Number of pennies ≈ 314.263
Since we need to round up to the nearest whole number, the number of pennies in the sample is 315.
Therefore, the average mass of a penny is approximately 314.628 g, and there are 315 pennies in the sample.