A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
-----------------------------
8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<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
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
Answer:
2
Step-by-step explanation:
We can find the average rate of change by using the formula
rate of change = (y2-y1) /(x2-x1)
= (5-3)/(1-0)
= 2/1
=2
According to the Scientific Method (the scientific process you use to go about figuring out the answer to a question) is:
1. Ask a Question
2. Do Background Research
3. Construct a Hypothesis
4. Test Your Hypothesis by Doing an Experiment
5. Analyze Your Data and Draw a Conclusion
6. Communicate Your Results
The slope of the line is 1
