Answer:
3x +4y = 118
5x+6y =180
y= $25
Step-by-step explanation:
Let x = the cost of a flashlight
Let y = the cost of a sleeping bag
3x +4y = 118
5x+6y =180
Multiply the first equation by -5
-5(3x +4y) = -5*118
-15x -20y = -590
Multiply the second equation by 3
3(5x+6y) =3*180
15x + 18y = 540
Add the modified equations together.
We are using elimination to eliminate the variable x
-15x -20y = -590
15x + 18y = 540
----------------------------
-2y = -50
Divide by -2
-2y/-2 = -50/-2
y =25
Each sleeping bag costs $25
Answer:
m=8+3n
Step-by-step explanation:
Move all terms that don't contain m to the right side and solve.
Hope this helps <3
Answer:
34 years
Step-by-step explanation:
f = s + 28 Eq. 1
f+8 = 3(s+8) Eq. 2
f = father age
s = son age
replacing Eq. 1 on Eq. 2
(s+28) + 8 = 3(s+8)
s + 36 = 3*s + 3*8
s + 36 = 3s + 24
36 - 24 = 3s - s
12 = 2s
12/2 = s
s = 6
from the Eq. 1
f = 6 + 28
f = 34
Check
from the Eq. 2
34+8 = 3(6+8)
42 = 3*14
Answer:
The book value for the van at the end of first year will be $30400
Step-by-step explanation:
Cost of van = $38,000
Amount of depreciation after one year = 20%
Finding 20% of 38,000
=38,000 *(20/100)
= 7600
so, amount of van after 1 year = 38,000 - 7600
= 30400
So, the book value for the van at the end of first year will be $30400
The equation is in slope-intercept form (y = mx + b), where b is the y-intercept. So the y intercept is at y = -2.
