Let pen's cost be x and pencil's cost be y.
6x + 5y = 2.50
3x + 2y = 1.15
Thus, 3x = 1.15 - 2y
Therefore, 6x = 2.30 - 4y
Substituting the value of 6x ;
(2.30 - 4y) + 5y = 2.50
or, 2.30 + y = 2.50
=> y = 0.20.
Substituting the value of y ;
6x = 2.30 - 4(0.20)
6x = 2.30 - 0.80 = 1.5
6x = 1.5
=> x = 0.25
Thus, 1 pen costs 0.25 $ and 1 pencil costs 0.20$.
Thus, cost of one pen is 0.25$.
Cost of 4 pencils is 0.80 $
0.25$ + 0.80$ = 1.05$
Vaughn's net income will be the gross income minus any deductions. (2% of 785 is 15.70, 1% of 785 is 7.85, and 3% of 785 is 23.55.)
It will be easier to add together all the deductions, and then subtract that sum from 785:
42.25 + 90.33 + 15.70 + 7.85 + 23.55 = 179.68
785 - 179.68 = 605.32
Let x represent a 2-point basket, and y represent a 3-point basket.
Basket equation: x + y = 16
Point equation 2x + 3y = 39
Solve using system of equations:
if x + y = 16, then x = 16 - y
Plug into the second equation:
2(16-y) + 3y = 39
32 - 2y + 3y = 39
32 + y = 39
y = 7
So the number of 3-point baskets scored was 7. Hope this helps, let me know if there’s a step you don’t understand! :)
Answer:
y=0x-1
Step-by-step explanation:
y=0(x)+c
-1=0(7)+c
-1=0+c
C=-1
Answer:
w = 7u/6
u = 6w/7
m = 2n/-9
n = -9m/2
Step-by-step explanation:
4u + 8w = -3u + 2w
4u - 4u +8w = -3u - 4u +2w
8w -2w = -7u + 2w - 2w
6w = -7u
w = 7u/6
u = 6w/7
AND
-2m - 5n = 7m - 3n
-2m -7m -5n = 7m -7m -3n
-9m -5n +5n = -3n +5n
-9m = 2n
m = 2n/-9
n = -9m/2
