Answer:
10
Step-by-step explanation:
Turn 3 1/3 into an improper fraction.
(3*3) + 1 = 10/3 so 10/3 is the same as 3 1/3
Turn the 3 into an improper fraction of 3/1
Now multiply 10/3 * 3/1 multiplying straight across: 10*3/3*1=30/3=10
<u>Answer:</u>
The coefficient of 
<u>Solution:
</u>
The given expression is 
As per binomial theorem, we know,
Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10
Now 
will be the 6 term where k =5
Now, 
So, the coefficient of 
.
The coefficient of
A. (4)5 x (4)4 = 36 OR 4(5 x 4) = 36
b. No you would not. 5(5 x 4) = 45 which is out of your budget.
Answer:
<h3>
9, 11, 13, 15</h3>
Step-by-step explanation:
{k - some integer}
2k+1 - the first odd integer (the least)
5(2k+1) - five times the least
5(2k+1)+3 -<u> three more than five times the least</u>
2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - the next odd consecutive integer (third)
2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)
2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>
2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3
8k + 16 = 10k + 5 + 3
- 10k -10k
-2k + 16 = 8
-16 - 16
-2k = -8
÷(-2) ÷(-2)
k = 4
2k+1 = 2•4+1 = 9
2k+3 = 2•4+3 = 11
2k+5 = 2•4+5 = 13
2k+7 = 2•4+7 = 15
Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1
