Joseph makes ornaments to sell at the craft fair. Each ornament requires 0.5 yards of velvet. At the fabric store, felt is sold by the foot. If Joseph wants to make 45 ornaments, how many feet of velvet must be buy? If the felt costs 10 cents ($0.10) per foot, what is the total cost of the velvet in dollars? A manufacture is making 1,000 times as many ornaments as Joseph to sell in stores nationwide. Write an expression using exponents to show how many yards of velvet the manufacture will need. Do not calculate the total.

See explanation

Step-by-step explanation:

A. Since each ornament requires 0.5 yards of velvet and Joseph wants to make 45 ornaments, the number of yards of velvet she must be buy will be:

= 45 × 0.5

= 22.5 yards

Since 1 yard = 3 feet

22.5 yards = 22.5 × 3 = 67.5 feet

B. If the felt costs 10 cents ($0.10) per foot, what is the total cost of the velvet in dollars.

Total Cost = 67.5 × $0.10 = $6.75

C. A manufacture is making 1,000 times as many ornaments as Joseph to sell in stores nationwide. The amount of yards needed will be:

= 1000(45 × 0.5)

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: