Answer:
3^5=9^2x = 3
3^(2x+1) =3^3 = 1
Step-by-step explanation:
Answer:
Cost of a single Mucho beef burrito: ![\$5.5](https://tex.z-dn.net/?f=%5C%245.5)
Cost of a double Mucho beef burrito: ![\$6.5](https://tex.z-dn.net/?f=%5C%246.5)
Step-by-step explanation:
<h3>
The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>
Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.
Set a system of equations:
![\left \{ {{16x+22y=231} \atop {x=y-1}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B16x%2B22y%3D231%7D%20%5Catop%20%7Bx%3Dy-1%7D%7D%20%5Cright.)
To solve this system you can apply the Substitution Method:
1. Substitute the second equation into the first equation and solve for "y":
![16(y-1)+22y=231\\\\16y-16+22y=231\\\\38y=231+16\\\\y=\frac{247}{38}\\\\y=6.5](https://tex.z-dn.net/?f=16%28y-1%29%2B22y%3D231%5C%5C%5C%5C16y-16%2B22y%3D231%5C%5C%5C%5C38y%3D231%2B16%5C%5C%5C%5Cy%3D%5Cfrac%7B247%7D%7B38%7D%5C%5C%5C%5Cy%3D6.5)
2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":
![x=6.5-1\\\\x=5.5](https://tex.z-dn.net/?f=x%3D6.5-1%5C%5C%5C%5Cx%3D5.5)
Answer:
x=14
Step-by-step explanation:
8x-9+6x-7 = 180 (being adjacent angles)
14x-16 = 180
14x = 180+16
14x =196
x = 196/14
x =14
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