Find three consecutive odd integers such that the sum of the first, two times the second and three times the third is 82. choose the mathematical translation for the given situation. a. 6 x plus 16 equals 82 6x+16=82 b. 6 x plus 8 equals 82 6x+8=82 c. 3 x plus 3 equals 82 3x+3=82 d. 3 x plus 6 equals 82 3x+6=82

Step-by-step explanation:

x, x + 2, x + 4 - three consecutive odd integers

The equation:

"the sum of the first, two times the second and three times the third is 82"

x + 2(x + 2) + 3(x + 4) = 82         use distributive property a(b + c) = ab + ac

x + 2x + 4 + 3x + 12 = 82        combine like terms

(x + 2x + 3x) + (4 + 12) = 82

6x + 16 = 82

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign