Answer:
add 1/4 to each side
Step-by-step explanation:
x^2+x=11
We take the coefficient of the x term
1
Then divide it by 2
1/2
Then square it
(1/2) ^2 = 1/4
Add this to both sides of the equation
x^2 + x + 1/4 = 11+1/4
(x+1/2)^2 = 11 1/4
Answer:
The system of linear equations is x + y = 64 and x = y + 14.
Given that,
The total number of students is 64 .
Here we assume the x be the number of students in filmmaking club .
And, y be the number of students in yearbook club.
Based on the above information, the calculation is as follows:
x + y = 64
And,
x = y + 14
Therefore,
We can say that
Number of students in yearbook club = 25
And, the number of students in filmmaking club = 39
Answer: 24% of the books read are magazine
Step-by-step explanation:sum of the books read is 20+12+18=50 books.
Therefore 12 of the books are magazine.
Then, 12 of 50 =24%( 12÷50)× 100/1 = 24%
The answer is i don’t know or I don’t care and what are we trying to find
Answer:
1680 ways
Step-by-step explanation:
Total number of integers = 10
Number of integers to be selected = 6
Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.
<u>2 ways</u> <u>1 way</u> <u> </u> <u> </u> <u> </u> <u> </u>
Each of the line represent the digit in the integer.
After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840
Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways
Therefore, there are 1680 ways to pick six distinct integers.