The number of permutations of 8 people taken 6 at a time is given by:
Answer:
y=1/2x+2
Step-by-step explanation:
The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.
To find the gradient is a little more tricky, but we can follow the formula:
, where rise is the vertical value and run is the horizontal value
So we sub in our values:

And simplify:

So now we sub in our new found values into y=mx+c:
y=1/2x+2
Answer:
He needs 3.75 lbs of sugar and 1.25 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 75%
Write a proportion:

Cross multiply:

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.
7 tens=10,10....=70
20 ones=1,1....=20
which sum up to be 90
5 tens=50
13 ones=13
=63
Answer:
♣: SAS similarity theorem
♦:definition of similar triangles
Step-by-step explanation:
Got the correct answers from ed