Cate earns $20 per hour, so we are looking for the number of hours: 20x
Cate pays $1.50 for the bus each way, implying that she rides the bus twice in a day: 3
Cate must end up with $117: 117
117 = 20x + 3
114 = 20x
x = 5.7 hours
Cate must work 5.7 hours to end up with $117.
Hope this helps!! :)
Answer:
4
Step-by-step explanation:
Find the length of side FD given that
Since both triangles are similar, then
AB= FD
2x+2 = x+3
Collect like terms
2x-x =3-2
x = 1
Get FD
FD = x+3
FD = 1+3
FD = 4
Hence the measure of FD is 4
Answer:

Step-by-step explanation:
To find the slope of the line of the graph, pick any 2 points on the line as your coordinate pairs.
Thus, on the line, let's pick 2 points as our coordinate pairs at:
When x = -6, y = 5 => (-6, 5), and
When x = 3, y = -1 => (3, -1)
Let (-6, 5) be (x1, y1), and (3, -1) be (x2, y2)





Each person shakes 7 hands, but once you count the handshake between A and B, you don't need to count the handshake between B and A. There are a total of 8*7/2 = 28 handshakes.
Answer:
4
Step-by-step explanation:
the formula to calculate slope is
m=( y2-y1)/(x2-x1)
here,
(9,2)= x1 ,y1
(10,6)= x2 ,y2
putting the values in formula , we get
m= (6-2)/(10-9)
=4/1
= 4