Questions in mathematics

Questions in mathematics

[Free] A group of friends is on a road trip. So far, they have driven 120 miles. They continue their trip and drive at a constant rate of 50 miles per hour. Let [tex]y[/tex] represent the total distance traveled in [tex]x[/tex] hours. Write an equation to represent the total number of miles driven in [tex]x[/tex] hours. Make sure to include the slope and y-intercept.

[Free] Nicole just finished a 5-mile walkathon that took her 1.4 hours. Assume she walks at a constant rate. Let [tex]y[/tex] represent the distance Nicole walks in [tex]x[/tex] hours. Describe Nicole's walking at a constant rate as a linear equation. Explanation: 1. Calculate Nicole's walking rate (speed): \[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{5 \text{ miles}}{1.4 \text{ hours}} \approx 3.57 \text{ miles per hour} \] 2. The linear equation representing her walking at a constant rate is: \[ y = 3.57x \] Here, [tex]y[/tex] is the distance walked, [tex]x[/tex] is the time in hours, and 3.57 is her walking speed in miles per hour.

[Free] Find five consecutive integers whose sum is 195.

[Free] Determine the equation of \( g(x) \) that results from translating the function \( f(x) = (x + 2)^2 \) to the right 13 units.

[Free] The sum of two consecutive odd numbers is 128. Find the numbers.

[Free] Hannah has the same number of nickels as Heather has dimes. Together, the coins are worth $1.65. How many coins does each girl have?

[Free] The perimeter of a rectangle is 408 cm, and the length is 134 cm. Find the rectangle's width.

[Free] How do you solve the equation by factoring or square roots Ex: x^2-4x=0

[Free] What is the area of a square television screen with a 16-inch side? A. 32 square inches B. 160 square inches C. 256 square inches

[Free] Write an equation to represent the following statement: Nine times the sum of a number and 2 is 189.