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Questions in mathematics

[Jawaban] Rachel bought 2 pounds of apples and 3 pounds of peaches for a total of $20.45. The apples and peaches cost the same amount per pound. What was the unit rate per pound?

[Jawaban] Wayne has a recipe on a 3-inch by 5-inch index card that he wants to enlarge to 15 inches long. How wide will the enlargement be?

[Jawaban] The sum of two numbers is 92. Their difference is 20. Find the two numbers.

[Jawaban] log(6/11)^5 how do you expand that

[Jawaban] A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How many total employees does the company now have?

[Jawaban] Theo's mom bought an eight-pack of juice boxes at the store for $4. Determine the unit rate for the juice boxes.

[Jawaban] The ratio of North American butterflies to South American butterflies at a butterfly park is 5:3. The ratio of South American butterflies to European butterflies is 3:2. There are 30 North American butterflies at the butterfly park. A. How many South American butterflies are there? B. How many European butterflies are there?

[Jawaban] If you add 5 to me and then divide by 9, you get 3. What number am I?

[Jawaban] A study was done to investigate the population of polar bears over time. The correlating linear model is shown below, where \( x \) represents the number of years after 1955, and \( y \) represents the number of polar bears. Interpret the y-intercept. \[ y = 5,000 + 500x \] A. There were 10,000 polar bears in 1955. B. There were 1,000 polar bears in 1955. C. There were 5,000 polar bears in 1955. D. There were 500 polar bears in 1955.

[Jawaban] Solve the equation: \[ 10p - 2(3p - 6) = 4(3p - 6) - 8p \]