Answer:
r = 13
Step-by-step explanation:
The first step is to find b from y=mx=b using m=4/3 and (-4,8)

After solving the equation, b will equal -16/3 making the final equation be

Using the equation, you can solve for r.

This will bring the answer being r = 13
Answer:
0.6 miles per minute
Step-by-step explanation:
3/5 = 0.6/1 = 0.6
The diagonals of a parallelogram bisect each other so
4x - 7 = x + 2 and
5y - 8 = 3y
4x - 7 = x + 2 so 3x = 9 and x = 3
5y - 8 = 3y so 2y = 8 and y = 4
The remaining co-ords are (1,2) and (5,4).
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get

= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.