Answer:2 1/2 + 1/3 = 5/2 + 1/3 = 15/6 + 2/6 = 17/6 cup
(2/6)/(17/6) = (2/6)(6/17) = 2/17 (two parts in 17), or 11.8%
1 2/3 + 1/4 = 5/3 + 1/4 = 20/12 + 3/12 = 23/12 cup
(3/12)/(23/12) = (3/12)(12/23) = 3/23 (three parts in 23), or 13.04%
Step-by-step explanation:
Replacement = 11 total
probability of choosing a consonant = 7/11
without replacing the card
probability of choosing an e = 3/10
probability of choosing both = 7/11 * 3/10 = 21/110 <===
N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
Well combine:
2x + 3x + x + 60 = 180
combine like terms:
6x + 60 =180
then move the 60:
6x = -120
now divide both sides by 6:
x= -20
i hope this helped! :)
