A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.

C) x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

Step-by-step explanation:

A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.

Which system of inequalities represent the constraints for this situation? Let x = number of shirts, and let y = number of skirts.

A) x ≤ 0 and y ≤ 0

0.5x + y ≤ 800

x + 1.5y ≤ 500

B) x ≤ 0 and y ≤ 0

0.5x + y ≥ 800

x + 1.5y ≥ 500

C) x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

D) x ≥ 0 and y ≥ 0

0.5x + y ≥ 500

x + 1.5y ≥ 800

number of shirts,x and number of skirts,y must be greater than 0 since it can not be a negative value

x ≥ 0 ; y ≥ 0

Inequality for number of yards

x = 0.5 yards ; y = 1 yard

Total yards = 500

The inequality is

0.5x + y ≤ 500

Inequality for hours of production

x = 1 hour ; y = 1.5 hours

Total available hours for production = 800

The inequality is

x + 1.5y ≤ 800

Therefore, the system of inequalities which represent the constraints for this situation is

x ≥ 0 ; y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.