Answer: 7/5m
Step-by-step explanation:
The initial value of the painting = m
Increase in the painting = 2/5
The final value of the painting will be the addition of the initial value of the painting and the increase. This will be:
= m + (2/5 × m)
= m + 2/5m
= 5/5m + 2/5m
= 7/5m
Answer:

Step-by-step explanation:
To find the equation, use the slope-intercept formula:

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

Solve:

Since both are negative, the result is a positive:

Insert this into the equation as m, the slope:

Done.
Answer:
Step-by-step explanation:
The last one
Answer:
x = number of bicycles = 35
y = number of cars = 55
Step-by-step explanation:
Let
x = number of bicycles
y = number of cars
x + y = 80 (1)
2x + 4y = 270 (2)
From (1)
x = 80 - y
Substitute x = 80 - y into (2)
2x + 4y = 270 (2)
2(80 - y) + 4y = 270
160 - 2y + 4y = 270
- 2y + 4y = 270 - 160
2y = 110
y = 110/2
y = 55
Substitute y = 55 into (1)
x + y = 80 (1)
x + 55 = 80
x = 80 - 55
x = 35
x = number of bicycles = 35
y = number of cars = 55