Let's consider that number to be 'x'..
So, twice the number (2x) is 12 greater than than the half of the number.
So the equation will be like,
2x=12+x/2
Solving this further,
2x=(24+x)/2
=> 4x=24+x
=>4x-x=24
=>3x=24
=>x=8..
So the number is "8".
Answer:
Theoretical probability
Step-by-step explanation:
The theoretical probability is defined as:

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:
number of desired results = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.
To calculate the experimental probability we must perform the following experiment:
Take a paper out of the bag, record the number obtained and then return the paper to the bag.
Now repeat this experiment n times. (Perform n trials)
So:

To calculate a theoretical probability you always need to perform an experiment with n trials.
Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
Answer:
Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.
Step-by-step explanation:
Let the Cost of each large soft drink be x.
Also Let the Cost of each Large bucket of popcorn be y.
Number of people = 3
Money Spend on popcorn and soft drink = $22.50
Hence we can say that;

Next week three people traveled again.
Each ticket was bought = $8.00
Number of tickets bought = 3
Money spend on tickets = 
Total return trip = $37.50
Also they each get a large soft drink, but they share one large bucket of popcorn
Cost of Soft drink = 3x
Cost of popcorn = y
Now Total return trip is equal to sum of Money spend on tickets and Cost of soft drink and Cost of popcorn.
Hence equation can be framed as;

Now Subtracting equation 2 from equation 1 we get;

Now substituting the value of y in equation 1 we get;

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.
Since we know the angle 250 and a circle is 360 degrees we can solve for x by subtracting 250 from 360.
360-250=110 degrees.
Tada!