<span> D) Train A by a factor of 1.1
</span>Train A: <span>17/35</span><span> = 34.6</span>
<span>Train B: </span>Rate<span> is the </span>slope<span> of the </span>equation, 31.35
Thus,<span>34.6/31.35</span><span> = 1.1036</span>
Any linear equation can be written as
y = mx+b
where m is the slope and b is the y intercept
m = 1/2 in this case. It represents the idea that the snow fell at a rate of 1/2 inch per hour. In other words, the snow level went up 1/2 an inch each time an hour passed by.
b = 8 is the y intercept. It's the starting amount of snow. We start off with 8 inches of snow already.
The info "snow fell for 9 hours" doesn't appear to be relevant here.
In a bag of snack mix:
n = nuts d = dried fruit
n = 744g d = ???g
Ratio Nuts/Dried fruit = 12/13
This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits
If 744 is 12 parts then 744/12 is 1 part
744/12 = 62
1 part = 62g
there are 13 parts of dried fruit
13 x 62 = 806
744g of nuts + 806g of dreid fruit = 1550g
Answer: A batch of snack mix weigh 1550g, or 1.55kg
hope it helps :)
![\bf \begin{array}{lccclll} &amount(gallons)&juice&\textit{juice amount}\\ &--------&-----&-----\\ \textit{50\% punch}&4&0.50&(4)(0.50)\\ \textit{pure juice}&x&1.00&(x)(1.00)\\ -----&-----&-----&-----\\ mixture&4+x&0.60&(4+x)(0.60) \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26amount%28gallons%29%26juice%26%5Ctextit%7Bjuice%20amount%7D%5C%5C%0A%26--------%26-----%26-----%5C%5C%0A%5Ctextit%7B50%5C%25%20punch%7D%264%260.50%26%284%29%280.50%29%5C%5C%0A%5Ctextit%7Bpure%20juice%7D%26x%261.00%26%28x%29%281.00%29%5C%5C%0A-----%26-----%26-----%26-----%5C%5C%0Amixture%264%2Bx%260.60%26%284%2Bx%29%280.60%29%0A%5Cend%7Barray%7D)
notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format
so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)
thus (4)(0.50) + (x)(1.00) = (4+x)(0.60)
solve for "x"