First add 24.95 and 35.99. You get 60.94 (Remember This!)
Now you take 49.95 divided by 2. you should get: 24.975.
add 24.975 with 60.94. You get 85.915
take 85.915 and multiply it by 0.15. You get 12.88725.
Subtract 85.915 by 12.88725. You should get 73.02775.
Now multiply that by 0.045. you should get 3.28624875.
Add that onto 73.02775, and you get 76.31399875.
Round that to the nearest hundredth, and your done! (The answer is: 76.31!)
The answer will be the B.
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Properties of Logs
logb(x/y) = log<span>bx</span> - log<span>by</span>.
therefore
log5 (4/7)= log5 (4)- log5 (7)
<span>Solve log 5 (4) and log 5 (7) with the base change of the logarithm</span>
<span>log 5 4 = log 4 / log 5 </span>
Use the calculator:
<span>
<span>log 5 4 =0.8613531161
</span></span>
log 5 7 = log 7 / log 5
<span>log 5 7 =1.2090619551</span>
<span>log5 (4/7)= log5
(4)- log5 (7)=-0.347708839</span>
ceiling(700/40) = ceiling(17.5) = 18 . . . . ceiling(x) is the smallest integer ≥ x.
The smallest integer multiple of 40 that is larger than 700 is 18.
The number of packages of buns will be 18*5 = 90.
The number of packages of hotdogs will be 18*4 = 72.
_____
These numbers will ensure that you have 20 bun/hotdog combinations left over. If you want to minimize leftovers, you would use 88 packages of buns and 70 packages of hotdogs. That would give you 4 buns and no hotdogs left over.