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>
C. 7.2°F is warmer than 7.0°F but colder than 7.6°F.
Step-by-step explanation:
(i)
m <em>L</em><em> </em>BOC = 2× m <em>L</em><em> </em>BAC = 2×56 = 112°
(ii)
m <em>L</em><em> </em>BCA = m <em>L</em><em> </em>BAT = 75°
m <em>L</em><em> </em>OCB = (180°-112°)/2 = 68°/2 = 34°
so, m <em>L</em><em> </em>OCA = 75°-34° = 41°
