Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
Thus, the probability of selecting both yellow is 5/22.
Let b be the number of blue beads and g the number of green beads that Giovanni can use for a belt.
He's supposed to use a total of between 70 and 74 beads, so
70 ≤ b + g ≤ 74
The ratio of green beads to blue beads is g/b, and this ratio has to be between 1.4 and 1.6, so
1.4 ≤ g/b ≤ 1.6
For completeness, Giovanni must use at least one of either bead color, so it sort of goes without saying that this system must also include the conditions
b ≥ 0
g ≥ 0
(These conditions "go without saying" because they are implied by the others. g/b is a positive number, so either both b and g are positive, or they're both negative. But they must both be positive, because otherwise b + g would be negative. I would argue for including them, though.)
Angle 6, angle 4, angle 3, and angle 2 are all exterior angles.
Hope this helps!
Answer:
1. 6, 4. 27s, 6. 11mn/ 7. 12(3x+2), 8. 3(2+x), 11. 2(x-2)
Step-by-step explanation:
the GCF is the highest factor that can go into each monomial, 27s factors are 27 and 1 as well as s, 57st factors are 26 and 2 as well as 57 and 1, with s and t. the highest factor is 27 with s, or 27s. the same thing applies with factoring monomias just take out the GCF and multiply it by what's left. 6 has factors of 6 and 1 as well as 2 and 3, 3x has factors of 3 and 1 with x take the common 3 out and your left with 3(2+1x) or 3(2+x).
