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Explanation:
Everywhere you see an x, replace it with -5. Then use the order of operations PEMDAS to simplify
Keep in mind that for the x^2 term, you are squaring all of x = -5, which includes the negative as well. So that means
x^2 = (-5)^2 = (-5)*(-5) = 25
but sticking a negative out front makes
-x^2 = -(-5)^2 = -25
Answer:
The approximate total cost for the blanket is $10.08 ⇒ B
Step-by-step explanation:
The formula of the area of a rectangle is A = L × W
The formula of the perimeter of a rectangle is P = 2(L + W)
where:
∵ The baby blanket shaped a rectangle
∵ The dimensions of the blanket are 3 feet and 5 feet
- Find the area of the blanket
∵ A = 3 × 5 = 15 feet²
- Change feet to yard because the cost is by square yard
∵ 1 foot = yard
∴ 1 foot² = yard²
∴ 15 feet² = 15 × =
yards²
∴ The area of the blanket is yards²
∵ The fabric cost of the blanket is $1.25 per square yard
∴ The fabric cost = × 1.25
∴ The fabric cost = 2.08333 dollars
∵ Heather is going to put a ribbon border around it
- The length of the ribbon is equal to the perimeter of the blanket
∵ P = 2(3 + 5) = 16 feet
∴ The length of the ribbon is 16 feet
∵ The cost of the ribbon is $0.5 per foot
∴ The cost of the ribbon = 16 × 0.5
∴ The cost of the ribbon = 8 dollars
Now add the fabric cost to the ribbon cost to find the total cost of the blanket
∵ The total cost = 2.08333 + 8
∴ The total cost = 10.08333
- Round it to the nearest cent
∴ The total cost = 10.08 dollars
The approximate total cost for the blanket is $10.08
