5 dollars a ticket. Divide 80/16 to get tour answer.
Answer:
Yumiko should multiply the other equation by 3.
If she adds the two equations she would be left with the variable 'x'.
Step-by-step explanation:
Given the two equations are as follows:
![$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $](https://tex.z-dn.net/?f=%24%202x%20-%203y%20%3D%2012%20%5Chspace%7B5mm%7D%20%5Chdots%20%281%29%20%24)
![$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $](https://tex.z-dn.net/?f=%24%205x%20%2B%206y%20%3D%2018%20%5Chspace%7B5mm%7D%20%5Chdots%20%282%29%20%24)
It is given that she multiplies the first equation by 6. Therefore, (1) becomes
![$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $](https://tex.z-dn.net/?f=%24%2012x%20-%2018y%20%3D%2072%20%5Chspace%7B15mm%7D%20%5Chdots%20%28a%29%20%24)
Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.
The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.
Therefore, Equation (2) becomes:
![$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $](https://tex.z-dn.net/?f=%24%2015x%20%2B%2018y%20%3D%2054%20%5Chspace%7B5mm%7D%20%5Chdots%20%28b%29%20%24)
Now, we add Equation (a) and Equation (b).
![$ \implies 12x - 18y + 15x + 18y = 72 + 54 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%2012x%20-%2018y%20%2B%2015x%20%2B%2018y%20%3D%2072%20%2B%2054%20%24)
![$ \implies 27x = 126 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%2027x%20%3D%20126%20%24)
Factor: 3
Equation: 27x = 126
(67 + 68 + 78 + x) / 4 = 70
(213 + x) / 4 = 70
213 + x = 70 * 4
213 + x = 280
x = 280 - 213
x = 67
(213 + x) / 4 = 79
213 + x = 79 * 4
213 + x = 316
x = 316 - 213
x = 103
lowest u can make is 67, highest u can make is 100
Answer:
B. 18 cm.
Step-by-step explanation:
Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.
![\frac{16}{24} =\frac{12}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B24%7D%20%3D%5Cfrac%7B12%7D%7Bx%7D)
![\frac{2}{3} =\frac{12}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%3D%5Cfrac%7B12%7D%7Bx%7D)
2 * x = 12 * 3
2x = 36
x = 18
So, the length of ED is B. 18 cm.
Hope this helps!