Franco and caryl went to a bakery to buy desserts. franco bought 3 packages of cupcakes and 2 packages of brownies for $19. caryl bought 2 packages of cupcakes and 4 packages of brownies for $24. let x equal the price of one package of cupcakes and y equal the price of one package of brownies. write a system of equations that describes the given situation.

3x + 2y = 19

2x + 4y = 24

Step-by-step explanation:

Franco - 3 packages of cupcakes and 2 packages of brownies for $19

Caryl - 2 packages of cupcakes and 4 packages of brownies for $24

x = price of one package of cupcakes

y = price of one package of brownies.

system of equations

Franco: 3x + 2y = 19

Caryl: 2x + 4y = 24

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)

step-by-step explanation: s