Let us assume the first odd integer to be = x
Then
The consecutive middle odd integer = x + 2
The third consecutive odd integer = x + 4
So we can now write the equation as
x + x + 2 + x + 4 = 5(x + 2) - 18
3x + 6 = 5x + 10 - 18
3x + 6 = 5x - 8
3x - 5x = - 8 - 6
- 2x = - 14
2x = 14
x = 14/2
= 7
So the first odd integer is 7
The second consecutive odd integer = (x + 2)
= (7 + 2)
= 9
The third consecutive odd integer = (x + 4)
= 7 + 4)
= 11
So the three consecutive odd integers are 7, 9, 11.
Answer:
Number of donuts each student get = 144 / x
Step-by-step explanation:
Given:
Number of donuts = 12 dozen
Number of students = x
Find:
How many donuts each student get
Computation:
Total number of donuts = 12 × 12 = 144
Number of donuts each student get = Total number of donuts / Number of students
Number of donuts each student get = 144 / x
Let y = 0 to find the zeros.

We can now split the middle term into factors of 6 that add up to 5.

Group the first two terms, and group the last two terms, and factorise.


Group like terms.

Now, we know that in order for a zero to occur, either x + 3 = 0 or x + 2 = 0.
Hence, x = -3 and -2 are the zeros in this quadratic.
Answer:
⦣ACD = 90º
Step-by-step explanation:
⦣ACD + ⦣BCD = 180º
⦣BCD = 90º
⦣ACD + 90º = 180º subtract 90º from both sides
⦣ACD = 90º
This is true.
a = 2b
Subtract both sides by c
a - c = 2b - c
Have an awesome day! :)