To answer your question:
0.5 is 10 times greater than 0.05
Answer:
-29/7 =x
Step-by-step explanation:
3(x-6) -8 = -2+5(2x+1)
Distribute
3x-18-8 = -2 +10x+5
Combine like terms
3x-26 = 10x+3
Subtract 3x from each side
3x-3x-26 = 10x-3x+3
-26 = 7x+3
Subtract 3 from each
-26-3 = 7x +3-3
-29 = 7x
Divide each side by 7
-29/7 = 7x/7
-29/7 =x
38 km= (3x-1)+x+((3x-1)-2)
38 = 3x-1+x+3x-1-2
38 = 7x-4
7x=42
x=6 km --> second day
Test: 38 = (3*6-1)+6(3*6-1)-2)
--> frist day: 3*6-1 = 17 km
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.