Answer:
k = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
5k + (-7) = 13
<u>Step 2: Solve for </u><em><u>k</u></em>
- Simplify equation: 5k - 7 = 13
- Addition Property of Equality: 5k - 7 + 7 = 13 + 7
- Simplify equation: 5k = 20
- Division Property of Equality: 5k/5 = 20/5
- Simplify equation: k = 4
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 5(4) + (-7) = 13
- Multiply: 20 + (-7) = 13
- Add: 13 = 13
Here we see that 13 does indeed equal 13.
∴ k = 4 is the solution to the equation.
Cause a prime number is a number that can only be divideed by itself like 19
factors are 0 2 4 6 8 10
Each van carries 13 students and each bus carries 25 students.
<h3><u>Distribution</u></h3>
Given that the senior class at High School A and the senior class at High School B both planned trips to Yellowstone, and the senior class at High School A rented and filled 5 vans and 2 buses with 115 students, while High School B rented and filled 1 van and 6 buses with 163 students, and each van carried the same number of students and each bus carried the same number of students, to determine the number of students in each van and in each bus, the following calculation must be made:
- 5X + 2Y = 115
- 1X + 6Y = 163
- 5X + 2Y = 115
- 5X + 30Y = 815
- 815 - 115 = 28Y
- 700 = 28Y
- Y = 700 / 28
- y = 25
- 1X + 6x25 = 163
- 1X = 163 - 150
- X = 13
Therefore, each van carries 13 students and each bus carries 25 students.
Learn more about distribution in brainly.com/question/14310262
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