10 different groups can ski.
This is a combination of 5 items taken 3 at a time:
Answer:
36
Step-by-step explanation:
8x-20=5x+1
-5 -5
3x=-20+1
+20 +20
3x=21
3 3
x=7
8(7)-20
FED=36
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
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<em>Algebraic solution</em>
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
Answer:
Yes
Step-by-step explanation:
In order to make a triangle with non-zero area, the sum of the shorter two sides must be greater than the longest side.
Here, 4 + 4 > 7, so the lengths can form a triangle.