Kiran is getting dinner for his drama club on the evening of their final rehearsal. The budget for dinner is $60. Kiran plans to buy some prepared dishes from a supermarket.

The prepared dishes are sold by the pound, at $5.29 a pound. He also plans to buy two large bottles of

sparkling water at $2.49 each.

Let `x` represent pounds of prepared dishes. Create a mathematical model of Kiran's budget constraint.

5.29x + 4.98 = 60

Step-by-step explanation:

Let x represents pounds of prepared dishes.

Given: The prepared dishes are sold by the pound, at $5.29 a pound.

i.e. Cost of x pounds of dishes (in $) =5.29x

Cost of each bottle of sparkling water = $2.49

Cost of 2 bottles of sparkling water =  $ (2 x 2.49)= $4.98

Total cost of dinner(in $) = Cost of x pounds of dishes + Cost of 2 bottles of sparkling water

= 5.29x + 4.98

The budget for dinner is $60.

i.e. 5.29x + 4.98 = 60

Hence, the mathematical model of Kiran's budget constraint:

5.29x + 4.98 = 60

5/12, or 5: 12

step-by-step explanation:

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)