Questions in mathematics

Questions in mathematics

📝 Answered - A family of 12 went to a local Italian restaurant for dinner. Every family member ordered a drink and meal, 3 ordered an appetizer, and 6 people ordered cake for dessert. A. Write an expression that can be used to figure out the cost of the bill. Include the definitions for the variables used. Let: - \(d\) = cost of one drink - \(m\) = cost of one meal - \(a\) = cost of one appetizer - \(c\) = cost of one cake The total cost of the bill can be expressed as: \[ \text{Total cost} = 12(d + m) + 3a + 6c \]

📝 Answered - In 1950, there were 40.3 million cars registered in the United States. In 1990, there were 133.7 million cars registered in the United States. What was the percent increase in registered cars from 1950 to 1990?

📝 Answered - Is [tex]\frac{6}{5}[/tex] greater or less than [tex]\frac{3}{3}[/tex]?

📝 Answered - What number is 70% of 35?

📝 Answered - During a bike challenge, riders have to collect various colored ribbons. Each \( \frac{1}{2} \) mile they collect a red ribbon, each \( \frac{1}{8} \) mile they collect a green ribbon, and each \( \frac{1}{4} \) mile they collect a blue ribbon. Which colors of ribbons will be collected at the \( \frac{3}{4} \) mile marker?

📝 Answered - An artificial lake is in the shape of a rectangle and has an area of \(\frac{9}{20}\) square mile. The width of the lake is \(\frac{1}{5}\) the length of the lake. What are the dimensions of the lake?

📝 Answered - The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point is Death Valley at 282 feet below sea level (-282 feet). What is the difference in elevations? How?

📝 Answered - What is the numerical expression for: 1. Half the sum of 11 and negative 3 2. The absolute value of negative 62

📝 Answered - A speedy river barge bound for New Orleans, Louisiana, leaves Baton Rouge at 9:00 a.m. and travels at a speed of 10 miles per hour. A rail transport freight, also bound for New Orleans, leaves Baton Rouge at 1:30 p.m. on the same day. The train travels at 25 miles per hour. Both the barge and the train will travel 100 miles to reach New Orleans. How far will the train travel before catching up to the barge?

📝 Answered - Explain how you can use the Associative Property to evaluate \((7 \times 50) \times 4\).