Pedro an paula clean boats. pedro charges a fee of $8 plus $0.75 per square foot more than paula. paula’s fee is $5 with a charge of $1.50 per square foot. for how many square feet cleaned do they charge the same amount? (show work)

Paula's per-foot charge is $1.50.  Pedro's is $1.50+$0.75, or $2.25/ft^2.

When will Pedro's overall charge equal Paula's?

$8 + ($2.25/ft^2)x = $5 + ($1.50/ft^2)x

Simplifying this equation, we get:

$3 + ($0.75/ft^2)x = 0.  Unfortunately, this comes out to a negative x value, that is, a negative number of hours of service.  No solution.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

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)