Answer:
part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105
Step-by-step explanation:
Part 1:
spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.
spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.
Part 2:
he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours
Therefore, He has to spend 30 hours or less to make type X and type Y.
3x + 2y <u>< </u>30
Part 3:
His materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.
His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.
Part 4:
he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.
Therefore, the total cost of making x and y should be $105 or less.
5x + 7y <u><</u> 105
!!
Answer:
The school where the donut and coffee day will take place.
The number of boxes of donuts the PTO bought.
The number of cups of coffee the PTO bought.
Line through P(0, 5) and Q(-1, 8):
slope = m = (y2 - y1) / (x2 - x1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3
line through R(3, 3) and S(5, -1):
slope = m = (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2
Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel.
B........................
N-10=5-4n
n+4n=5+10
5n=15
n=3