1. 9/12 divide top and bottom by 3
3/4
now you can multiply the top and bottom by the same number and get an equivalent fraction
3/4 * 2/2 = 6/8
3/4 * 5/5 = 15/20
these are all equivalent fractions to 9/12 = 3/4 = 6/8 = 15/20
2. 16/24
divide the top and bottom by 8
2/3
This is as small as it goes (keep dividing until there is no number that will go into the top and the bottom evenly).
Answer: The first outcome shall be 0.33 or 33%.
The second outcome would be 0.5 or 50%
Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;
P(Red) = Number of required possibilities/Number of all possibilities
P(Red) = 1/3
P(Red) = 0.33
Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.
After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;
P(Red) = Number of required outcomes/Number of possible outcomes
P(Red) = 1/2
P(Red) = 0.5
The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:

A linear function is represented as:

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:

Subtract 9200 from both sides

Divide both sides by 5

So, we have:

The function becomes


In the academic year 2023-2024, x = 9.
So, we have:




Hence, the cost of tuition and fees is $12260
Read more about linear functions a:
brainly.com/question/21107621
Answer:
2
Step-by-step explanation:
2
Answer:
13
Step-by-step explanation:
Set Susan's present age as x, her age from 3 years ago as x-3, and her age in three years as 2(x-3)
Since her age in seven years = 2 times as old as she way 3 years ago, set up the equation:
x+7 = 2(x-3)
x+7 = 2x-6
x = 13