91影视

Explain how the graph of $x>5$ is different from the graph of $x鈮�5$.

Solve the equation. Check your solution.$\mathbf{-}\mathbf{40}\mathbf{-}(\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{5})\mathbf{=}\mathbf{-}\mathbf{61}$

Solve the equation. Check your solution

$\mathbf{11}\mathbf{+}\mathbf{x}\mathbf{=}\mathbf{10}$

Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car鈥檚 trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

1. Write an expression for the distance (in miles) they will be from Houston in x hours.
2. Write an expression for the distance (in miles) they will be from home in x hours.
3. Use the expression from parts a and b to write and solve an equation to find the number of hours they will drive until they are exactly halfway between Houston and their home.
4. Suppose they travel by local roads instead of highway. They travel the 700 miles at a speed of 45 miles per hour. How long will they drive before they are exactly halfway between Houston and their home?

Write the verbal sentence as an inequality. Also, solve the equation

鈥淎 number divided by $-3$ is less than $6$.鈥�

Geometry Find the value of x for the given triangle, rectangle or square.

Perimeter = 40 units

Solve the equation. Check your solution.

$\mathbf{3}\mathbf{x}\mathbf{-}\mathbf{7}\mathbf{=}\mathbf{8}\mathbf{+}\mathbf{6}\left(\mathbf{x}\mathbf{+}\mathbf{2}\right)$

Geometry The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.

1. Estimate Without doing any calculations, estimate which figure has the greater side length. Explain your choice.
2. What is the side length and perimeter of each figure?

Duathlons A duathlon is an event that consists of running and biking. While training for a duathlon, you run and bike a total of 23 kilometers in 1.25 hours. You run at an average speed of 10 kilometers in 1.25 hours. You run at an average speed of 10 kilometers per hour and bike at an average speed of 24 kilometers per hour. Write and solve an equation to find the time you spend running and the time you spend biking.

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.