Math Problem Statement

74000+(60.16*d)=410.96d solve for d

Solution

To solve the equation 74000+60.16d=410.96d74000 + 60.16d = 410.96d for dd, follow these steps:

Step 1: Move all terms involving dd to one side.

We subtract 60.16d60.16d from both sides: 74000=410.96d60.16d74000 = 410.96d - 60.16d This simplifies to: 74000=350.8d74000 = 350.8d

Step 2: Solve for dd.

Now, divide both sides by 350.8 to isolate dd: d=74000350.8d = \frac{74000}{350.8} d210.91d \approx 210.91

So, d210.91d \approx 210.91.

Would you like further details or clarifications on any of the steps?

Here are 5 related questions to explore:

  1. How do you solve equations with variables on both sides?
  2. What are the steps for combining like terms in an equation?
  3. How does dividing by a decimal affect the solution?
  4. How would you solve for dd if the equation had been 74000+60.16d=410.96d+500074000 + 60.16d = 410.96d + 5000?
  5. How can this method be applied to more complex equations involving fractions?

Tip: Always check your solution by substituting it back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Isolating Variables

Formulas

d = (constant)/(coefficient of d)

Theorems

Basic Properties of Equality

Suitable Grade Level

Grades 9-11