Answer:the number of adults that attended the game is 135.
the number of children that attended the game is 31
Step-by-step explanation:
Let x represent the number of adults that attended the game.
Let y represent the number of children that attended the game.
There were 166 paid admissions to a game. This means that
x + y = 166
The price was $2 for adults and $.75 for children. The amount of data taken in was $293.25. This means that
2x + 0.75y = 293.25 - - - - - - - - - - 1
Substituting x = 166 - y into equation 1, it becomes
2(166 - y) + 0.75y = 293.25
332 - 2y + 0.75y = 293.25
- 2y + 0.75y = 293.25 - 332
- 1.25y = - 38.75
y = - 38.75/- 1.25
y = 31
x = 166 - y = x = 166 - 31
x = 135
She has distributed the bracket incorrectly
(64 + 5) - 0.2(- 20 + 10)
=
(69) - 0.2 (- 10)
=34.5 + 2
= 36.5
The first picture shows solution for a. For b). X=9,2
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)
(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)
=>
a) a 3 x 1 column =
| 3 |
| -4 |
| 6 |
b) xi + yj + zk
=> 3i - 4j + 6k