This is hard math is hard
The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts.
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
Answer:
8
Step-by-step explanation:
<span>Let A = the area of the whole circle
Let S = the area of the shaded portion</span><span>
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
S = (60/360) </span>× <span>A = ( 1 / 6 ) </span>× 12 = 2 ;
