Answer:
12x + 2
Step-by-step explanation:
Let the number be represented by x.
Then five times the number = 5*x
Seven times the number = 7*x
Sum of 5 times the number minus -2 = ![\[5*x - (-2)\]](https://tex.z-dn.net/?f=%5C%5B5%2Ax%20-%20%28-2%29%5C%5D)
= ![\[5x +2\]](https://tex.z-dn.net/?f=%5C%5B5x%20%2B2%5C%5D)
Adding seven times the number to this expression yields, ![\[5x+2+7x\]](https://tex.z-dn.net/?f=%5C%5B5x%2B2%2B7x%5C%5D)
![\[= (5+7)x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%285%2B7%29x%2B2%5C%5D)
![\[= 12x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%2012x%2B2%5C%5D)
So the simplified expression corresponds to 12x + 2.
In this question there are several information's of immense importance already given.
The number of pair of gloves that the merchant bought = 30 dozens
1 dozen = 12 gloves
Also
1 pair = 2 gloves
Then
The total numberof individual gloves bought
by the merchant = 30 * 12 * 2
= 720
The correct option among all the options given in the question is option "C" and it can be checked via the above solution.
Answer:
45.5%
Step-by-step explanation:
The increase in population was 45.5%
This is a division of polynomials
8x^3 - 28x + 61 | 2x + 5
-----------------------
- 8x^3 - 20x^2 4x^2 - 10x + 11x
---------------------------------
0 - 20x^2 - 28x + 61
+20x^2 +50x
------------------------
0 +22x +61
-22x -55
----------------
6
Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:
4x^2 - 10x + 11x + [ 6/ ( 2x + 5)
