It is number 3. Have a good day.
Answer:
8/27 cups
Step-by-step explanation:
Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:
If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:
9/4 cups of trail mix -> 2/3 cups of peanuts
1 cup of trail mix -> X cups of peanuts
9/4 / 1 = 2/3 / X
9/4 = 2/(3*X)
3*X*9 = 4*2
27*X = 8
X = 8/27 cups
Answer: 5.5
Step-by-step explanation:
Plugging it into the formula, we get
2x-3 = 8
Add 3 to both sides:
2x = 11
Divide by 2 on both sides:
x = 5.5
There are
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's
way of doing that.
So we have

The last expression has a more compact form in terms of the so-called multinomial coefficient,

Answer:
Triangle - 21 units
Trapezoid - 65 units
Step-by-step explanation:
- Because this triangle and trapezoid are reflections of each other when split in half, remove the highlighted parts to make them a rectangle. When made into a rectangle, you can use the formula length * width to find the area of either shape (trapezoid or triangle).
- Note you won't be able to do this when solving for the area of ALL trapezoids and triangles.