He will give about 99 prizes to each student
Answer:
$319.60
Step-by-step explanation:
Normal Game console cost : $399.50
Discount: %20 (0.20)
$399.50×0.20= $79.90
Total cost of discount $79.90
$399.50-$79.90= $319.60
New cost after Discount= $319.60
First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour.
Answer:
L = 2,
O = 31
Step-by-step explanation:
First using the givens, write out some formulas.
Heavy equipment operators = O
General laborers = L
- O + L = 33
- 138O + 87L = 4044
Now use substitution, it doesn't matter which one you substitute.
- O = -L +33
- 138( -L + 33 ) + 87L = 4044
Distribute and solve for L.
- -138L + 4554 + 87L = 4044
- -138L - 87L = 4044 - 4554
- -225L = -510
- L = -510/-225
- L = 2
L = 2, meaning number of laborers employed is 2.
Now plug 2 = L into one of the original equations.
- O + L = 33
- O + 2 = 33
- O = 33 - 2
- O = 31
O = 31, meaning number of heavy equip. operators employed is 31.
Answer:
1)
2)
3)
4)2
Step-by-step explanation:
1) 5x + 3y = 8
3y=8-5x

hence intercept is 
2) 10x + 6y - 12 = 4
10x + 6y = 16
6y=16-10x

hence intercept is 
3) 2x – 3y = 5
3y=2x-5

hence intercept is 
4) 3x + 2y = 1
2y=-3x+4

hence intercept is 2