12w - 13 - 11w + 24 = 77
combine like terms
w + 11 = 77
subtract 11 from both sides
w = 66
Answer:

Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):

Now substitute the point (-5,0) and find the value of a:

Operating:


Solving for a:

a = -2
Thus, the equation of the quadratic function is:

Where is the number that will be fill X or Y to solve this equation
Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.
There are 2 different equalities that I'm not sure which one you want.
so the first one would be

x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.
If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be

In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.
If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
Answer:
c) The reduced form of the given fraction 
Step-by-step explanation:
Here, the given expression is "24 over 30".
The given expression is is equivalent to 
Now by Prime Factorization:
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
⇒ The common factors in 24 and 30 is 2 x 3 = 6
So, 
Hence the reduced form of the given fraction 