13. To find the product of (2 ½ ) (5/7) (2/5), first convert the mixed number 2 ½ to an improper fraction. 2 ½ is equal to 5/2.

So, the problem becomes (5/2) * (5/7) * (2/5).

Multiply the numerators together to get the numerator of the answer: 5 * 5 * 2 = 50.

Multiply the denominators together to get the denominator of the answer: 2 * 7 * 5 = 70.

So, the product is 50/70. Simplify this fraction by dividing both the numerator and the denominator by 10, and you get 5/7.

So, the answer to question 13 is D. 5/7.

14. To simplify the expression [2(-3)² - (-4)(5) - 2], first perform the operations in parentheses and the exponent: (-3)² = 9, and (-4)(5) = -20.

So, the expression becomes [2*9 - (-20) - 2].

Then, perform the multiplication: 2*9 = 18.

So, the expression becomes [18 - (-20) - 2].

Subtracting a negative is the same as adding a positive, so the expression becomes [18 + 20 - 2].

Finally, perform the addition and subtraction from left to right: 18 + 20 = 38, and 38 - 2 = 36.

So, the answer to question 14 is not listed in the options provided. The correct answer is 36.

Question

13. To find the product of (2 ½ ) (5/7) (2/5), first convert the mixed number 2 ½ to an improper fraction. 2 ½ is equal to 5/2.

So, the problem becomes (5/2) * (5/7) * (2/5).

Multiply the numerators together to get the numerator of the answer: 5 * 5 * 2 = 50.

Multiply the denominators together to get the denominator of the answer: 2 * 7 * 5 = 70.

So, the product is 50/70. Simplify this fraction by dividing both the numerator and the denominator by 10, and you get 5/7.

So, the answer to question 13 is D. 5/7.

14. To simplify the expression [2(-3)² - (-4)(5) - 2], first perform the operations in parentheses and the exponent: (-3)² = 9, and (-4)(5) = -20.

So, the expression becomes [2*9 - (-20) - 2].

Then, perform the multiplication: 2*9 = 18.

So, the expression becomes [18 - (-20) - 2].

Subtracting a negative is the same as adding a positive, so the expression becomes [18 + 20 - 2].

Finally, perform the addition and subtraction from left to right: 18 + 20 = 38, and 38 - 2 = 36.

So, the answer to question 14 is not listed in the options provided. The correct answer is 36.

Knowee AI · Accepted Answer