Q:

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?You have 2 attempts left to earn the full credit for this problem.Answer:0.04b is % of 2b. It is than 2b by %0.2b is % of 2b. It is than 2b by %0.56b is % of 2b. It is than 2b by %1.8b is % of 2b. It is than 2b by %2.5b is % of 2b. It is than 2b by %3b is % of 2b. It is than 2b by %

Accepted Solution

A:
Answer:1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.Step-by-step explanation:1. 0.04bFor all the cases, we will use Rule of Three, this way.Percentage * 2 = 100 * 0.04Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)Percentage = 4/2 = 2%0.04b is 2% of 2b. It is 98% smaller than 2b.For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.2. 0.2bAgain, we will use Rule of Three, this way:Percentage * 2 = 100 * 0.2Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)Percentage = 20/2 = 10%0.2b is 10% of 2b. It is 90% smaller than 2b.3. 0.56bAgain, we will use Rule of Three, this way:Percentage * 2 = 100 * 0.56Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)Percentage = 56/2 = 28%0.56b is 28% of 2b. It is 72% smaller than 2b.4. 1.8bAgain, we will use Rule of Three, this way:Percentage * 2 = 100 * 1.8Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)Percentage = 180/2 = 90%1.8b is 90% of 2b. It is 10% smaller than 2b.5. 2.5bAgain, we will use Rule of Three, this way:Percentage * 2 = 100 * 2.5Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)Percentage = 250/2 = 125%2.5b is 125% of 2b. It is 25% larger than 2b.In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.6. 3b.Again, we will use Rule of Three, this way:Percentage * 2 = 100 * 3Percentage = (100 * 3)/2 (Dividing by 2 at both sides)Percentage = 300/2 = 150%3b is 150% of 2b. It is 50% larger than 2b.In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.