Answer:the number of coach tickets that she bought is 5
the number of first class tickets that she bought is 6
Step-by-step explanation:
Let x represent the number of coach tickets that she bought.
Let y represent the number of first class tickets that she bought.
The total number of people that went for the round trip is 11. This means that
x + y = 11
She was able to purchase coach tickets for $340 and first class tickets for $1190. She used her total budget for airfare for the trip, which was $8840. This means that
340x + 1190y = 8840 - - - - - - - 1
Substituting x = 11 - y into equation 1, it becomes
340(11-y) + 1190y = 8840
3740 - 340y + 1190y = 8840
- 340y + 1190y = 8840 - 3740
850y = 5100
y = 5100/850 = 6
x = 11 - y
x = 11 - 6 = 5
This is really a long way to go to make something complicated
out of something simple. The last choice does the job.
cos(180) = -1
sin(180) = 0
So 4 [cos(180) + i sin(180) ]
= 4 [ -1 + i (0) ]
= -4 yay!
30)
10 x 6 = 60
11 x 4 = 44
12 x 4 = 48
60 + 44 + 48 = 152 cm^2
answer: area = 152 cm^2
Answer:
Step-by-step explanation:
2x - 3y = 9
-3y = -2x + 9
Parallel lines have same slope.So,
Slope m = 2/3
(4 , -1)
Equation: y - y1 = m(x - x1)
![y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}](https://tex.z-dn.net/?f=y-%5B-1%5D%3D%5Cfrac%7B2%7D%7B3%7D%28x%20-%204%29%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B2%7D%7B3%7D%2Ax%20-%20%5Cfrac%7B2%7D%7B3%7D%2A4%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D-1%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D-%5Cfrac%7B3%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B11%7D%7B3%7D)
b = -11/3
