Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.
Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime.
If there is no overtime, the equation is W = 10x.
Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours.
At $10 per hour for 40 hours, the total is $400.
S = 15y + 400
Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?
490 = 15y + 400
490 - 400 = 15y
90 = 15y
90/15 = y
6 = y
Drey worked 46 hours in all.
Answer:
8 lb of flounder at $2.50/lb
4 lb of shrimp at $5.00/lb
Step-by-step explanation:
Let A be the pounds of shrimp
Let B be the pounds of flounder
Let C be the cost per pound of flounder
A + B = 12
A = 12 - B
BC = 20
A(2C) = 20
BC = A(2C)
BC = (12 - B)(2C)
BC = 24C - 2BC
3BC = 24C
3B = 24
B = 8 lb
A + 8 = 12
A = 4 lb
Answer:
1. 6/7
2. 1/2
3. 7/10
4. 39/40
5. 15/28
6. 3/10
7. 7/12
8. 1/6
9. 5/12
10. 1/8
Step-by-step explanation:
Answer:
I hope I'll help you with this but I am not sure of it all...
The area of the shaded region is 46,77
Step-by-step explanation:
To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.
The formula to calculate the area of a hexagon is (3√3 s2)/ 2
(where s = one side of the hexagon)
if one side a the little white hexagon equals 6 ft;
3√3 6ft.2/2 = 18√3/2 = 9√3
now for the bigger hexagon where one side is 12 ft;
3√3 12 ft.2/2 = 72√3/2 = 36√3
now the area of the bigger one minus the area of the smaller one;
36√3 - 9√3 = 46,77
Y=1
To get it, you use the method of substitution. So you swtich the top y by the equation of the bottom=-3x+6=-7x+10. You first add 7x to each side=4x+6=10 then you minus 6 from each side=4x=4 which is 1