Substitute 8 for m. * 8 = 10(8) – 10 = 80 – 10 = 70.

If * m = 10m – 10 and * m = 100, then 10m – 10 = 100. Solve for m: 10m = 110, m = 11.

The total discounted amount is $4 ($12 – $8). The discount percentage is calculated as (4/12) × 100 = 33%.

The number of left-handed members is equal to 21 – 14 = 7. The ratio of left-handed to right-handed members is 7:14, which simplifies to 1:2.

Let the five consecutive integers be x, x+1, x+2, x+3, and x+4. Their sum is 5x + 10 = 55, so x = 9. The greatest integer is 9 + 4 = 13, and 13^2 = 169.

When multiplying powers with the same base, add the exponents. 2^2 × 2^3 × 2^4 = 2^(2+3+4) = 2^9.

The area of a square is equal to (side length)^2. If the area is 121, the side length is √121 = 11.

Set up a ratio for this problem and solve it. Let x represent the number of books purchased with 7 dollars.

\( \frac{5}{d} = \frac{x}{7} \)

Using cross-multiplication, you get:

\( x = \frac{35}{d} \).

The product of an even integer (g) and an odd integer (h) is always an even number. So, \( j \) is divisible by 2. Try using numbers: if \( g = -4 \) and \( h = 5 \), then \( j = -4 imes 5 = -20 \). Since -20 is even, the correct choice is (C).

Finding the reciprocal of a number involves flipping its numerator with its denominator. The reciprocal of \( \frac{5}{6} \) is \( \frac{6}{5} \).

First solve for \( N \) in the equation \( \frac{1}{4}N = 2 \). Multiply both sides by 4: \( N = 8 \). Now substitute \( N = 8 \) into \( \frac{1}{8}N \), giving \( \frac{1}{8} imes 8 = 1 \).

There are 10 triangles, and 4 of them are shaded. So, the fraction of shaded triangles is \( \frac{4}{10} = \frac{2}{5} \).

The average of consecutive integers is equal to the middle term. If the largest number is 11, the numbers are 7, 8, 9, 10, and 11. The middle term, and thus the average, is 9.

The easiest way to solve this problem is by canceling terms first and then multiplying. \( \frac{2}{3} imes \frac{3}{6} imes \frac{1}{4} = \frac{1}{12} \).

If a cat sleeps \( \frac{3}{5} \) of every day, then in 5 days, a cat sleeps \( 5 imes \frac{3}{5} = 3 \) full days.

To determine if a number is divisible by 9, the sum of the digits must equal a number divisible by 9. The sum of the digits in 2,042 is 2 + 0 + 4 + 2 = 8. By adding 1 to this number, the sum of the digits becomes 9, which is divisible by 9.

The 6 girls make 3 projects each for a subtotal of 6 × 3 = 18 projects. The 7 boys make 4 projects each for a subtotal of 7 × 4 = 28 projects. The total number of projects made is 18 + 28 = 46.

The area of the rectangle is 10 × 4 = 40 square units. The area of a triangle is given by the formula \( A = \frac{1}{2} imes ext{base} imes ext{height} \). Setting the areas equal: \( 40 = \frac{1}{2} imes 8 imes h 40 = 4h h = 10 \).

The operation defined is \( r \circ s = (r imes s) – (r + s) \). Substituting the values: \( 8 \circ 4 = (8 imes 4) – (8 + 4) = 32 – 12 = 20 \).

Given that \( L(5) = 3 \), you can solve for \( L \) using the equation \( 5L = 33 L = \frac{33}{5} = 6.6 \).

To score an average of 91 on 4 exams, the total of the 4 exams must equal 91 × 4 = 364. On her first 3 exams, Jessie scored a total of 89 + 87 + 92 = 268. Therefore, she needs 364 – 268 = 96 points on her last exam.

To solve for x, start with \( 3x + 8 = 10x – 13 8 + 13 = 10x – 3x 21 = 7x x = 3 \).

A 25% discount can be calculated as follows: 25% expressed as a decimal is 0.25, so the discount is 0.25 × 75 = $18.75. Subtracting this from the original price gives: 75 – 18.75 = $56.25.

The formula for the area of a triangle is \( A = \frac{1}{2} imes ext{base} imes ext{height} 150 = \frac{1}{2} imes 15 imes h 150 = 7.5h h = 20 \).

To find the time, use the formula: Time = Distance ÷ Speed. So, Time = 180 miles ÷ 60 miles/hour = 3 hours.

Let width = w. Then, length = 2w. The perimeter formula is P = 2(length + width) = 48. So, 2(2w + w) = 48 leads to 6w = 48, thus w = 8. The dimensions are 8 cm and 16 cm.

After 1 year: Value = 20000 × (1 – 0.15) = 20000 × 0.85 = $17,000. After 2 years: Value = 17000 × 0.85 = $14,450.

In a 30-60-90 triangle, the ratio of the sides opposite the 30-degree, 60-degree, and 90-degree angles is 1:√3:2. Therefore, the side opposite the 30-degree angle is 10 × 1/2 = 5 units.

Let the integers be x, x+1, and x+2. Then, x + (x + 1) + (x + 2) = 45. Simplifying gives 3x + 3 = 45, so 3x = 42, hence x = 14. The integers are 14, 15, and 16.

The volume V of a cylinder is given by the formula V = πr²h. Thus, V = 3.14 × (3)² × 10 = 3.14 × 9 × 10 = 282.6 cm³.