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Chapter 3: Q. 18E (page 127)

Solve the equation. Check your solution.

-30=6f-5

Short Answer

Expert verified

The solution for the equation 鈭�30=6f鈭�5isf=0.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�30=6f鈭�5鈭�30=6f鈭�30鈭�30+30=6f鈭�30+300=6f6f=0

02

– Solve for f

Now, divide both sides of the equation by 6.

6f6=06f=0

Therefore, the solution of the equation isf=0 .

03

– Check the solution 

To check the solution, write the original equation and substitute the value of f.

鈭�30=6f鈭�5

Now, substitute f=0and check the result.

鈭�30=60鈭�5鈭�30=6鈭�5鈭�30=鈭�30

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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Most popular questions from this chapter

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?

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

Perimeter = 104 units

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