c = cost per pound of chocolate chips
w = cost per pound of walnuts.
![\bf \stackrel{\textit{3 lbs of "c"}}{3c}+\stackrel{\textit{5 lbs of "w"}}{5w}~~=~~\stackrel{\textit{costs}}{15} \\\\\\ \stackrel{\textit{12 lbs of "c"}}{12c}+\stackrel{\textit{2 lbs of "w"}}{2w}~~=~~\stackrel{\textit{costs}}{33} \end{cases}\qquad \impliedby \textit{let's use elimination} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llccccccl} 3c+5w=15&\times (-4)\implies &-12c&+&-20w&=&-60\\ 12c+2w=33&&12c&+&2w&=&33\\ \cline{3-7}\\ &&0&&-18w&=&-27 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7B3%20lbs%20of%20%22c%22%7D%7D%7B3c%7D%2B%5Cstackrel%7B%5Ctextit%7B5%20lbs%20of%20%22w%22%7D%7D%7B5w%7D~~%3D~~%5Cstackrel%7B%5Ctextit%7Bcosts%7D%7D%7B15%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B12%20lbs%20of%20%22c%22%7D%7D%7B12c%7D%2B%5Cstackrel%7B%5Ctextit%7B2%20lbs%20of%20%22w%22%7D%7D%7B2w%7D~~%3D~~%5Cstackrel%7B%5Ctextit%7Bcosts%7D%7D%7B33%7D%20%5Cend%7Bcases%7D%5Cqquad%20%5Cimpliedby%20%5Ctextit%7Blet%27s%20use%20elimination%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllccccccl%7D%203c%2B5w%3D15%26%5Ctimes%20%28-4%29%5Cimplies%20%26-12c%26%2B%26-20w%26%3D%26-60%5C%5C%2012c%2B2w%3D33%26%2612c%26%2B%262w%26%3D%2633%5C%5C%20%5Ccline%7B3-7%7D%5C%5C%20%26%260%26%26-18w%26%3D%26-27%20%5Cend%7Barray%7D)
Answer:
average, he earns 16,800 dollars in 1 year
Step-by-step explanation:
he is paid 350 dollars a week
there are 4 weeks in a month and 12 months in 1 year.
350*4=1400
1,400*12 is 16,800.
Answer:
$190.35
Step-by-step explanation:
180 ⋅ 0.0575 = 10.35
Add 180 to 10.35
$190.35
(I could be wrong. Sorry if I am)
Hope I helped :)
Please consider Brainliest :)
Set up a system of equations:
s = 2d - 5
s + d = 43
Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.
Plug in 2d - 5 for 's' in the 2nd equation:
s + d = 43
2d - 5 + d = 43
Combine like terms:
3d - 5 = 43
Add 5 to both sides:
3d = 48
Divide 3 to both sides:
d = 16
Plug this back into any of the two equations to find 's':
s + d = 43
s + 16 = 43
Subtract 16 to both sides:
s = 27
So Dunk scored 16 points and Stilt scored 27 points.
Answer: 3/6
Step-by-step explanation:
Anytime you want to figure out the ratio, you divide the denominator (bottom number) by the numerator (top number).
First divide 14 by 7 and you get 1/2 (or 0.5 if you used the calculator). Now do this for each of the others until one matches or has the same ratio.
a) 5/12 : 12 ÷ 5= 2.4 * Not a match
b) 2/5: 5 ÷ 2= 2.5 * Not a match
c) 4/9: 9 ÷ 4= 2.25 * Not a match
d) 3/6: 6 ÷ 3 = 0.5 This is a MATCH!!!
