– Divide 5/3 by 1/4

\( -6 + (-2) + 0 + 8 = 0 \)

The square root of 73 is between 8 (since \( 8^2 = 64 \)) and 9 (since \( 9^2 = 81 \)).

The formula for rate is \( \text{rate} = \frac{ \text{distance}}{ \text{time}} \). \( \frac{16 \text{miles}}{4 \text{hours}} = 4 \text{miles per hour} \).

The formula for rate is rate = distance/time. In this problem, rate = 16 miles/4 Or 4 miles/hour

The phrase “for every” indicates a ratio. Set up a proportion: \( \frac{900}{60} = \frac{18,000}{x} \) Cross-multiply: \( 900x = 1,080,000 \), so \( x = 1,200 \).

Draw a rectangle with width \( w \) and length \( 3w \). The perimeter is \( 2(3w + w) = 400 \), so: \( 8w = 400 \), and \( w = 50 \).

Let \( WX = a \) and \( WY = 3a \). Then \( XY = WY – WX = 2a \). The length of \( XZ \) is \( 2 \times 2a = 4a \). So, \( WZ = WX + XZ = a + 4a = 5a \). Substituting \( a = 3 \), we get \( WZ = 15 \).

The formula for percent increase is: \( \frac{ \text{New Value} – \text{Old Value}}{ \text{Old Value}} \times 100 \% \) Here, \( \frac{1470 – 1050}{1050} \times 100 \% = 40 \% \).

The bottom surface of the bag is a rectangle and all points are inside the rectangle so choice (A) can be eliminated. (B) is correct.

Use the average formula: \( \text{Average} = \frac{ \text{Sum of terms}}{ \text{Number of terms}} \) Let the sum of 5 numbers be \( X \). Then \( \frac{X}{5} = 10 \), so \( X = 50 \). Let \( Y \) be the sum of the remaining 3 numbers. \( \frac{Y}{3} = 8 \), so \( Y = 24 \). The sum of the 2 numbers removed is \( 50 – 24 = 26 \).

Multiply both sides by 3 to eliminate the denominator. Then, \( A + B = 15 \). If \( A > 1 \), \( B \) must be less than 14. So 15 could not be the value of \( B \).

Translate step by step: Sally starts with \( x \) dollars. After receiving $125, she has \( x + 125 \). After spending $100, she has \( (x + 125) – 100 = x + 25 \) left.

Let \( T \) be the number of minutes. Set up the ratio: \( \frac{300}{30} = \frac{27,000}{T} \) Cross-multiply: \( 300T = 27,000 \), and solve: \( T = 90 \). \( 90 \text{minutes} = 1 \text{hour} 30 \text{minutes} \).

Round $27.05 to $27.00. Then, calculate: \( 100 \div 27 = ? \), simplifying to \( 20 \times 27 = 540 \), and dividing by 60 gives \( 9.45 \).

This problem is solved using a proportion: \( \frac{2 \text{inches}}{5 \text{inches}} = \frac{12 \text{miles}}{x \text{miles}} \) After cross-multiplying: \( 2x = 60 \) Solve: \( x = 30 \text{miles} \).

If a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally. \( 12x = 16 \times 9 \) \( 12x = 144 \), so \( x = 12 \).

Find two factors of 128, one of which is a perfect square. \( \sqrt{128} = \sqrt{64 \times 2} = \sqrt{64} \times \sqrt{2} \) \( \sqrt{64} = 8 \), so \( \sqrt{128} = 8 \sqrt{2} \).

There are 5 green marbles out of a total of 9 marbles, so the probability of picking a green marble is \( \frac{5}{9} \).

The perimeter of a square is \( P = 4s \). For a square with side \( x+5 \): \( P = 4(x+5) = 4x + 20 \) The perimeter of an equilateral triangle is \( P = 3s \). For a triangle with side \( 3x \): \( P = 9x \) Set the two perimeters equal: \( 4x + 20 = 9x \) Solve: \( 20 = 5x \), so \( x = 4 \).

Combine like terms using the additive inverse: \( 8x – 2 = 4x + 6 \) Subtract \( 4x \) from both sides: \( 4x – 2 = 6 \) Add 2 to both sides: \( 4x = 8 \) Divide by 4: \( x = 2 \).

First, find the area of the square: \( A = s^2 = 7^2 = 49 \text{sq. cm.} \) Then use the formula for the area of a circle: \( A = \pi r^2 \) \( 49 \approx 3.14 \times r^2 \) Solving for \( r \), \( r^2 = \frac{49}{3.14} \approx 15.61 \), and \( r \approx 3.95 \text{cm} \).

First, calculate the amount of interest using the simple interest formula: \( I = P \times R \times T \) \( = 4000 \times 0.0575 \times 3 = 690 \) Add the interest to the original principal to find the total amount after three years: \( 4000 + 690 = 4690 \).

A prime number is divisible only by itself and by 1. The prime factorization of 36 is: \( 36 = 4 \times 9 = 2^2 \times 3^2 \). Here, 2 and 3 are prime numbers.

To convert a decimal to a percent, multiply the decimal by 100. \( 0.3 \times 100 = 30.00 = 30 \% \)