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5. the number of insects in the sample went from 60 to 24. find the per…

Question

  1. the number of insects in the sample went from 60 to 24. find the percent decrease of insects in the sample.
  2. forty percent of 110 is what number?

Explanation:

Response
Problem 5

Step1: Find the decrease amount

The initial number is 60, the final number is 24. The decrease amount is $60 - 24 = 36$.

Step2: Calculate the percent decrease

The formula for percent decrease is $\frac{\text{Decrease Amount}}{\text{Original Amount}} \times 100\%$. Substitute the values: $\frac{36}{60} \times 100\% = 0.6 \times 100\% = 60\%$.

Step1: Convert percentage to decimal

Forty percent is $40\% = 0.4$ in decimal form.

Step2: Multiply by the number

To find 40% of 110, we calculate $0.4 \times 110 = 44$.

Answer:

The percent decrease is 60%.

Problem 7