Answer:
68.67
Step-by-step explanation:
Estimate 63% of 109
Change 63% to a decimal by locating the decimal which is after the 3 in 63 and move the two places to the left. So 63% as a decimal is .63
Now multiply .63 × 109
= 68.67
Answer:
McDonald’s Quarter Pounders = 67 mg of cholesterol
Burger King Whoppers = 87 of cholesterol
Step-by-step explanation:
McDonald’s Quarter Pounders = m
Burger King Whoppers = b
2m + 3b = 395
3m + 1b = 288
3m + b = 288
b = -3m + 288
2m + 3b = 395
2m + 3(-3m + 288) = 395
2m - 9m + 864 = 395
- 7m + 864 = 395
- 7m/7 = -469/7
-m = -67
-m/-1 = -67/-1
m = 67
2m + 3b = 395
2(67) + 3b = 395
134 + 3b = 395
3b = 395 - 134
3b = 261
3b/3 = 261/3
b = 87
Check: m = 67; b = 87
2m + 3b = 395
3m + 1b = 288
2m + 3b = 395
2(67) + 3(87) = 395
134 + 261 = 395
395 = 395
3m + 1b = 288
3(67) + 1(87) = 288
201 + 87 = 288
288 = 288
(Probs too late but welp :p)
Answer:
![|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:
![x=\dfrac{|A_x|}{|A|},\\ \\y=\dfrac{|A_y|}{|A|},](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B%7CA_x%7C%7D%7B%7CA%7C%7D%2C%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B%7CA_y%7C%7D%7B%7CA%7C%7D%2C)
where
![|A|=\left|\begin{array}{cc}12&-13\\ \\17&-22\end{array}\right|\\ \\ \\|A_x|=\left|\begin{array}{cc}7&-13\\ \\-51&-22\end{array}\right|\\ \\ \\|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%26-13%5C%5C%20%5C%5C17%26-22%5Cend%7Barray%7D%5Cright%7C%5C%5C%20%5C%5C%20%5C%5C%7CA_x%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D7%26-13%5C%5C%20%5C%5C-51%26-22%5Cend%7Barray%7D%5Cright%7C%5C%5C%20%5C%5C%20%5C%5C%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
So,
![|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
<span>3a^2+12a = 3a(a+4)
...</span>