![\bf \begin{cases} t=tacos\\ m=milk \end{cases}~\hspace{7em} \begin{cases} \stackrel{1~taco}{t}+\stackrel{1~glass}{m}=\stackrel{\$}{2.10}\\[0.8em] \stackrel{2~tacos}{2t}+\stackrel{3~glasses}{3m}=\stackrel{\$}{5.15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{llll} t+m=2.10&\stackrel{multiplied~by}{\times -3}\implies &\stackrel{notice}{-3t\stackrel{\downarrow }{-3m}=-6.3}\\[0.8em] 2t+3m=5.15&\implies &~~2t+3m=5.15\\ \cline{3-3} &&-t+0m=-1.15 \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0At%3Dtacos%5C%5C%0Am%3Dmilk%0A%5Cend%7Bcases%7D~%5Chspace%7B7em%7D%0A%5Cbegin%7Bcases%7D%0A%5Cstackrel%7B1~taco%7D%7Bt%7D%2B%5Cstackrel%7B1~glass%7D%7Bm%7D%3D%5Cstackrel%7B%5C%24%7D%7B2.10%7D%5C%5C%5B0.8em%5D%0A%5Cstackrel%7B2~tacos%7D%7B2t%7D%2B%5Cstackrel%7B3~glasses%7D%7B3m%7D%3D%5Cstackrel%7B%5C%24%7D%7B5.15%7D%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bllll%7D%0At%2Bm%3D2.10%26%5Cstackrel%7Bmultiplied~by%7D%7B%5Ctimes%20-3%7D%5Cimplies%20%26%5Cstackrel%7Bnotice%7D%7B-3t%5Cstackrel%7B%5Cdownarrow%20%7D%7B-3m%7D%3D-6.3%7D%5C%5C%5B0.8em%5D%0A2t%2B3m%3D5.15%26%5Cimplies%20%26~~2t%2B3m%3D5.15%5C%5C%0A%5Ccline%7B3-3%7D%0A%26%26-t%2B0m%3D-1.15%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill)
notice, we used -3 in the multiplication to <u>eliminate</u> the m's.
Complete question is;
Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 8 weeks.
Which inequality matches the problem?
A) x ≥ 8
B) x = 8
C) x ≤ 8
D) none of the above
Answer:
A: x ≥ 8
Step-by-step explanation:
Let the number of weeks be x.
She needs to make at least 32 costumes and plans to work at least 8 weeks. Since she makes 4 costumes per week, we can say that;
4x ≥ 32
I used greater than or equal to sign because she can't make less than 32 costumes.
Also, she can't use less than 8 weeks.
Thus; dividing both sides by 4, we have;
4x/4 ≥ 32/4
x ≥ 8
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▹ Answer
<em>g = 87</em>
▹ Step-by-Step Explanation
-34 = -2(g - 70)
<u>Divide both sides</u>
17 = g - 70
<u>Rearrange the terms</u>
-g + 17 = 70
<u>Calculate</u>
-g = -87
<u>Change the signs</u>
g = 87
<u>Final Answer</u>
g = 87
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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