Answer:
x=4
Step-by-step explanation:
1. 2x+4=12
2. 2x+4-4=12-4
3. 2x=8
4. 2x/2=8/2
5. x=4
Answer: 4004ways
Step-by-step explanation:
Total number of Students =15
Total number of students to be on the committee =5
Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.
Hence to select 5 people from 14 people, we use the combination formula 14C5.
From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.
Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:
= 14C5 * 2C1
= 2002 * 2
= 4004ways.
<u>Answer</u>
0
<u>Explanation</u>
(2m)/(2m+3)-(2m)/(2m-3)=1
Simplifying the left hand first
(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)
(4m²-6m-4m²-6m)/(4m²-9)
= (-12m) / (4m²-9)
Now this equet to 1
(-12m) / (4m²-9) = 1
-12m = 4m²-9
4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.
4m²+ 12m -9 =0
m² + 3m + (3/2)²= 9/4 + 9/4
(m + 3/2)² = 18/4
m = √18/2 - 3/2 or m = -√18/2 - 3/2
= 0.621 = -3.621
So we can say that the equation has NO extraneous solutions.
Answer = 0
12c=22
6c=11
c=1 5/6
20c=33
c= 1 13/20
5/6 is about .83
13/20 is .65
12 chocolate bars for $22 is about $1.83 each
20 chocolate bars for $33 is $1.65 each
The 20 chocolate bars for $33 dollars has a better unit rate and is a better buy.
Answer:
b = e + 4
b = e + 4 i think that is the pattern in the table