Any odd number can be expressed by 2n+1.
For example,
2n+1=111
2n=110
n=110/2=55
means that 111 is 2n+1 for n=55
Thus if an odd number is 2a+1, the next few numbers are as follows:
2a+1, 2a+2, 2a+3, 2a+4, 2a+5
So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.
Back to our problem:
three consecutive odd numbers whose sum is 63 are:
(2n+1)+(2n+3)+(2n+5)=63
6n+9=63
6n=63-9=54
n=54/6=9
2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23
Answer: 19, 21, 23
Answer:
Step-by-step explanation:
50$ per month for 12 years would mean she spent only (50 x 12) 600$ per year.
She actually spent $711, her forecast was off target by (600-7111) $111.
She exceeded her budget by $111
Answer:
x=8.6
Step-by-step explanation:
0.5x=4.3
/0.5 /0.5
x=8.6
Answer:
<em>The new mixture is 49% peanuts.</em>
Step-by-step explanation:
The first batch of 9 lb of mixed nuts contains 55% peanuts. This means the quantity of peanut is:
9*55/100=4.95 lb
The second batch of 6 lb of mixed nuts contains 40% peanuts. This means the quantity of peanut is:
6*40/100=2.4 lb
The total quantity of peanut in the mix is
4.95 lb + 2.4 lb =7.35 lb
There are 9 lb + 6 lb = 15 lb of mix. Thus, the percent of peanut in the mix is:
7.35 / 15 * 100 = 49%
The new mixture is 49% peanuts.
