Russel and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel. How long would it take Russel to build the shed if he were to work alone?

Solve:

We use fundamental operations for solving linear equation in one variable.

Solve:

A commercial jet flies 1500 miles with the wind. In the same amount of time, it can fly 1000 miles against the wind. The speed of the jet in still air is 550 mph. Write a rational equation to find the speed of the wind.

We know that Speed=Distance/Time

If –7 is one solution of the equation y² + cy – 35 = 0, what is the value of c?

A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the boat is 5 mi/h. What is the speed of the current?

Solve:

Solve:

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Solve:

If x = 3 a and a ≠ 2 , which of the following is an equivalent to the expression given below?

Fractions whose value is same are called equivalent fractions.

An engineering firm wants to construct a cylindrical structure that will maximize the volume for a given surface area. The following formulas are given for the volume and surface area of cylinders.
Volume (v) = r²h
Surface Area (SA) = 2rh = 2r²

calculate the ratio of volume to surface area for cylinder B.

Volume = area of base × height

An engineering firm wants to construct a cylindrical structure that will maximize the volume for a given surface area. The following formulas are given for the volume and surface area of cylinders.
Volume (v) = r²h
Surface Area (SA) = 2rh = 2r²

Calculate the ratio of volume to surface area for cylinder A

Volume = base area × height

A parallelogram with an area of square units has a height as shown. Find the length of the base of the parallelogram.

Area of a parallelogram= base × corresponding height

Find the quotient and the domain.

The domain of a function is the set of values that we are allowed to plug into our function.