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Which of the following is the solution of  

We use fundamental operations to solve the linear equation in one variable

A chemist needs alcohol solution in the correct concentration for her experiment. She adds a 6% alcohol solution to 50 gallons of solution that is 2% alcohol. The function that represents the percent of alcohol in the resulting solution is f(x) = [50(0.02) + x(0.06)]/(50 + x), where x is the amount of 6% solution added. How much 6% solution should be added to create a solution that is 5% alcohol?

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?

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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