0.6(10x+19) = 2.8(0.2x + 5)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The equation given is:
0.6(10x + 19) = 2.8(0.2x + 5)
This equation can be solved by expanding both sides, combining like terms, and isolating the variable x. Here's how you can approach solving it:
1. Distribute the numbers outside the parentheses:
- Left side: 0.6 * 10x + 0.6 * 19
- Right side: 2.8 * 0.2x + 2.8 * 5
2. Simplify the distributed terms:
- Left side: 6x + 11.4
- Right side: 0.56x + 14
3. Set the simplified expressions equal to each other:
6x + 11.4 = 0.56x + 14
4. To solve for x, first get all terms involving x on one side and constant terms on the other:
6x - 0.56x = 14 - 11.4
5. Simplify the equation:
5.44x = 2.6
6. Divide by 5.44 to isolate x:
x = 2.6 / 5.44
The solution for x can be calculated to give you the final answer.
Expert Solution
Step 1
Determine the value of X.
The value of X is obtained by solving the given equation below as follows:
From the information, given the equation is,
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