Answer:
see attached
Step-by-step explanation:
The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.
_____
The (x, y) components are ...
7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)
Y = 2
y = 4x - 10
2 = 4x - 10
2 + 10 = 4x
12 = 4x
12/4 = x
3 = x
solution is : (3,2)
Answer:
The company can manufacture 135 boxes of stuffed animals for $5000
Step-by-step explanation:
To find b, substitute $5000 for c(x), so
Then subtract 2300 from both sides of the equation, so
- 5000 (-2300) = 20b + 2300 (-2300)
- 2700 = 20b
Finally divide both sides of the equation by 20, so
To check your answer substitute 135 in as b...
- c(x) = 20(135) + 2300
- c(x) = 5000
Answer:
18 students
Step-by-step explanation:
60% of 30
(60*30)/100
1800/100 = 18 students
Answer: x=7
Step-by-step explanation: First you distribute the 12 to (10-x). That then gives you 15x+120-12x=141. Now you combine like terms. So you do 15x-12x=3x. Your new equation now is 3x+120=141. Subtract 120 from 141 and mark it out. That leaves you with 3x=21. Divide both sides by 3. Your final answer is x=7.
