Henry incorrectly said the rate 1/3 pound / 1/9 gallon can be written as the unit rate 1/27 pound per gallon. What is the correct unit rate? What was Henry´s likely error?

The unit rate is 3 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing.

Step-by-step explanation:

Given the rate  1/3 pound / 1/9 gallon, this can be written in the unit rate by dividing 1/3 pound by 1/9 gallon. First, we will evaluate 1/3 divided by 1/9 and the unit will be in pound per gallon.

1/3 divided by 1/9 can be written as

This then becomes

Hence, the unit rate is 3 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/9, Such that he gets

Hence, the 1/27 pound per gallon he got.

i think it's b

step-by-step explanation:

because the graph is 2 above (0,0)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)