Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![## Applications
### 10. Enrollment
A small private college has determined that about \(\frac{1}{5}\) of the students that it accepts will actually enroll. If the college wants 255 freshmen to enroll, how many should it accept?
### 11. Airplane Capacity
An airplane is carrying 180 passengers. This is \(\frac{9}{10}\) of the capacity of the airplane.
- **a.** Is the capacity of the airplane more or less than 180?
- **b.** If you were to multiply 180 times \(\frac{10}{9}\), would the product be more or less than 180?
- **c.** What is the capacity of the airplane?
### Explanation of Graphs and Diagrams
In this image, there are no explicit graphs or diagrams, but there are hand-written calculations and numerical operations. These operations appear to be solving problems related to the exercises mentioned.
- For problem 10:
- The number of accepted students needed to achieve 255 enrolled students, where only \(\frac{1}{5}\) students enroll, can be calculated with the formula:
\[
\text{Accepted students} = 255 \times 5 = 1275
\]
- For problem 11:
- The calculations are exploring whether the airplane's capacity is more or less than 180 when given \(\frac{9}{10}\) of its capacity equals 180. The formula provided to check this is:
\[
\text{Capacity} = 180 \times \frac{10}{9} = 200
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