If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
Answer:
Dear User,
Answer to your query is provided below
The time will be 8am on Wednesday when flight arrive in Tokyo.
Step-by-step explanation:
Here, You can see that when 11 a.m. in Johannesburg, it is 6 p.m. the same day in Tokyo, Japan ; this means 7Hrs. gap.
Further, A flight leaves Johannesburg at 6 a.m. on Tuesday for Tokyo takes 18 hours in the air, with an additional 1 hour stop-over on land.
So, 6a.m. + 18hr.+1hr.+7hr. = 8am on Wednesday in Tokyo (Arrival)
Make a system of equations and solve for each variable.
3m+8v=53
5m+2v=26
m= movie cost
v= game cost
multiply the bottom equation by 4(combination method)
3m+8v=53
20m+8v=104. Subtract
-17m = -51
m= 3
Plug back into one of the equations
5(3)+2v=26
15+2v=26
2v=11
v=5.5
m=$3
v=$5.5
To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
Answer:
- 37
Step-by-step explanation:
5 • 2 • ( - 4 ) + 6 ÷ 2
= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]
= 10 • ( - 4 ) + 3
= - 40 + 3
= - 37
