Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
No because when -4 is substituted in for n the answer is 37 so it is not true
Answer:
A, B, C all have one solution.
Step-by-step explanation:
1) Each equation in this question has one variable (x). This means that only one solution will be there.
2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78
Which is not true
3) Option A, if solved x = -65/68
4) Option B, x = 13/2
5) Option C, x = 5
All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
