Multiplying 3/4 by 20 gives 15 because 20 divided by 4 equals 5, and 5 times 3 equals 15. This demonstrates applying fraction multiplication to whole numbers.

Dividing both the numerator and denominator of 10/20 by 10 results in 1/2. This illustrates basic fraction simplification.

The ratio 2:5 means for every 7 students, 2 are girls and 5 are boys. With 14 students, multiplying the ratio by 2 results in 4 girls and 10 boys.

125% is equal to 1.25, and multiplying 1.25 by 8 gives 10. This helps in understanding percentage calculations over 100%.

A square is defined as a quadrilateral with four equal sides and four right angles, unlike other quadrilaterals. This understanding is fundamental to geometry.

Combining like terms 3x and 2x results in 5x, and the term -4 remains unchanged. This is key in simplifying algebraic expressions.

Subtract 6 from both sides to get 2x = 8, then divide by 2 to find x = 4. This demonstrates solving a simple linear equation.

The area of a rectangle is found by multiplying its length by its width, so 7 times 3 equals 21. This question reinforces understanding of area calculation.

The perimeter is the sum of all side lengths: 5 + 7 + 10 equals 22. This provides practice with basic operations and geometry.

Dividing the distance by time (60 ÷ 1.5) gives an average speed of 40 mph. This applies basic arithmetic to a real-life context.

0.75 is equivalent to 75/100 which simplifies to 3/4 when divided by 25. This conversion is essential in understanding fractions from decimals.

11 is a prime number because its only divisors are 1 and itself. Recognizing prime numbers is fundamental in number theory.

Calculating 20% of $50 results in a $10 discount (0.20 x 50). This problem reinforces understanding of percentages in everyday transactions.

Using the properties of exponents, add the exponents (3+2) to get 2^5, which is 32. This question tests mastery of exponent rules.

In Quadrant II, the x-coordinate is negative and the y-coordinate is positive, making (-3, 4) the correct choice. This reinforces understanding of the coordinate plane.

Expanding the left-hand side gives 3y - 6; equating it to 2y + 4, then subtracting 2y from both sides results in y - 6 = 4. Adding 6 to both sides gives y = 10, showing a multi-step solution.

Using the Pythagorean theorem, the hypotenuse is found by calculating the square root of (6² + 8²), which equals √(36 + 64) = √100 = 10. This confirms the theorem's application in right triangles.

Substitute x with 5 in the function: f(5) = 2(5) + 3 = 10 + 3 = 13. This problem reinforces the concept of function evaluation.

Multiply the sugar needed per batch (2/3 cup) by the number of batches (5) to get (2/3) * 5 = 10/3 cups. This requires multiplying a fraction by a whole number.

There are a total of 3 + 4 + 5 = 12 marbles, and 4 of them are blue. Dividing 4 by 12 gives 1/3, which is the probability of drawing a blue marble.