Two small buckets and one large bucket can hold 8 cups of gasoline. One large bucket minus one small bucket constitutes 2 cups of gasoline. How many cups of gasoline can each bucket hold?
(Solve using system of equations)

b = 3c

B = 4c

Step-by-step explanation:

2b + B = 8c

B - b = 2c

(-)

2b + B - B + b = 8c - 2c

3b = 6c

b = 6c : 3

b = 2c

B = 2c + b

= 2c + 2c

= 4c

step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11

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)