ACT Math Practice

The probability is $$\frac{8}{15}$$ because there are 8 favorable outcomes (1 to 8) out of 15 total outcomes.

First, calculate the number of A's: $$\frac{1}{4} \times 180 = 45$$ . Then, calculate the number of B's: $$\frac{1}{3} \times 180 = 60$$ . The remaining students earned a C: 180 - (45 + 60) = 75.

Regular pay: 40 hours * $15 = $600. Overtime pay: 6 hours * ($15 * 1.5) = $135. Total pay before deductions: $600 + $135 = $735. After $117 deductions, remaining pay is $735 - $117 = $618.

Combine like terms: $$-4x^3 - 12x^3 = -16x^3$$ , so the expression simplifies to $$-16x^3 + 9x^2$$ .

Substituting x: $$10 + 3(12 \div (3*2)) = 10 + 3(2) = 10 + 6 = 16$$ .

Probability is calculated as: $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ .

A variable is a symbol used to represent an unknown value or a value that can change.

Two expressions are equivalent if they have the same value for all values of the variables involved.

To find the total, calculate the fraction of students for each grade and subtract from the total number of students.

Overtime pay is the additional pay received for hours worked beyond the standard workweek, typically calculated at a higher rate.