Jayden has x nickels and y pennies. He has at most 14 coins worth no less than $0.34 combined. Solve this system of inequalities
graphically and determine one possible solution.
1 answer:
Answer:
Step-by-step explanation:
Number of nickels with Jayden = x
Number of pennies with Jayden = y
Since, number of coins is at most 14,
x + y ≤ 14 -------(1)
Worth of nickels = $0.05x
Worth of pennies = $0.01y
Since, worth of pennies is not less than $0.34,
0.05x + 0.01y ≥ 0.34
5x + y ≥ 34 --------(2)
By using a graphing calculator,
Common point of of both the inequalities is (5, 9)
Therefore, Number of nickels = 5
Number of pennies = 9
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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:
- L is the length of the rectangle
- W is the width of the rectangle
∵ 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