Answer:
There are 22 pounds of pecans in the mixture
Step-by-step explanation:
Let the number of pounds of pecans be p and the number of cashews be c
We have 88 pounds in total, mathematically, this means;
c + p = 88
Now, the 88 mixtures cost $1.4 per pounds. This means the total amount of the 88 would be 88 * 1.26= $110.88
The pecans are worth 0.84 per pound while the cashews are worth 1.4 per pound. If the total is at a cost of 110.88, this can be translated mathematically as:
0.84p + 1.4c = 110.88
We now have two different equations that we can solve simultaneously.
c + p = 88
0.84p + 1.4c = 110.88
From the first equation, we can say c = 88 - p
We can then substitute the into the second equation:
0.84p + 1.4(88 - p) = 110.88
0.84p + 123.2 - 1.4p = 110.88
-0.56p = 110.88 - 123.2
0.56p = 12.32
p = 12.32/0.56 = 22
Now, we know c = 88 - p = 88 - 22 = 66
Answer:
1/8y-6=x
Step-by-step explanation:
It can transform in ABCDE
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
The answer would be 2(6x+5+2y) you can figure this out through the distributive property. 2(6x)=12x 2(5)=10 and 2(2y)= 4y this would reult in giving you the equation 12x+10+4y
