Answer:
Mrs. Donaldson earned 907.20 dollars.
Step-by-step explanation:
907.20
Answer:
Step-by-step explanation:
diameter=2*radius
=2*9
=18 in
given central angle=72 degree
arc length=central angle /360° *πd
=72/360 *3.14*18
=1/5 *56.52
=56.52/5
=11.304
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:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
2y -3 >-1
2y > 2
y > 1
OR
1 > Y
Y < 1
Since it is only one, D is the correct answer