Questions in mathematics

Questions in mathematics

📝 Answered - The number of girls at the middle school Cyber summer camp was six more than twice the number of boys. The total number of middle schoolers at the camp was 156. Use the 5-D process to find the number of boys and girls at the camp.

📝 Answered - Two angles are supplementary. One angle measures 16 degrees less than 3 times the other. Find the measure of each angle.

📝 Answered - Solve the formula for \( x \). \[ 2bx - b = -5 \]

📝 Answered - In a right triangle, the measure of one acute angle is double the measure of the other acute angle. If the length of the shorter leg of the triangle is 3 cm, find the length of the hypotenuse.

📝 Answered - On a road map of Virginia, the distance from Alexandria to Roanoke is 7.6 cm. What is the actual distance between the cities if the map scale is 2 cm = 50 mi?

📝 Answered - What is the solution to this problem? \[ \begin{cases} 5x - 3y = 6 \\ 2x - 5y = 10 \end{cases} \]

📝 Answered - How would you add parentheses and brackets to make this equation true: \[ 45 / 2 \times 4.7 - 4.4 \times 6 = 54 \]

📝 Answered - Solve this proportion: \[\frac{10}{8} = \frac{n}{10}\]

📝 Answered - How do I write a word problem for $3.00 divided by $0.25?

📝 Answered - Consider five circles with radii of 1, 2, 4, 8, and 16 inches. Write your answer in terms of \(\pi r^2\). 1. Compare the areas and circumferences of a circle when you double the radius. - What happens to the area? - What happens to the circumference? 2. What happens to the area when you triple the radius? The table lists the radius, circumference, and area: \[ \begin{array}{|c|c|c|} \hline \text{Radius (inches)} & \text{Circumference (inches)} & \text{Area (square inches)} \\ \hline 1 & 2\pi & \pi \\ 2 & 4\pi & 4\pi \\ 4 & 8\pi & 16\pi \\ 8 & 16\pi & 64\pi \\ 16 & 32\pi & 256\pi \\ \hline \end{array} \]