Step-by-step explanation & answer:
When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.
For example, if the scale factor is "k", the algebraic representation of the dilation is
(x, y) → (kx, ky)
For enlargements, k > 1 and for reductions, k < 1.
Hope this is what you needed:)
Given:
The number of teeth = t = 25
The gear is driven by a 10-tooth driver gear (T) at 250 RPM
Let the speed = s
So, using the ratio and proportion
Solve for s:
So, the fear will be driven by 625 RP
Answer:
<u><em>note:</em></u>
<u><em>solution is attached</em></u>
A deck has 52 cards
There were are 13 clubs
There are 4 cards with "3" but one of them is a club, so there are 3.
P (club or 3) = (13 + 3) / 52 = 4/13
First, let's put all of the variables together.
4m + 5m + 5 + 40 = 180.
Add them.
M is the same multiplier, so we can add 4 and 5 together to make 9m.
Add 5 and 40.
9m + 45 = 180.
From here, we can go two ways. I will show the first way, which is my personal preference.
We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.
9m/9 = 1m
45/9 = 5
180/9 = 20
Plug it in--
m + 5 = 20.
Subtract the 5 from both sides to isolate m.
m = 15.
