Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
Answer:
2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
<h2>
Word Problem</h2>
To form equations from word problems, we can do the following:
- Identify variables
- Find key information
- Identify word equations and translate into numerical equations
- Solve
<h2>Solving the Question</h2>
We're given:
- Let <em>x</em> be the number of individual tickets that were sold
- Let <em>y</em> be the number of group tickets sold
- Cost of 1x = 7 dollars
- Cost of 1y = 16 dollars
- Baseball team: 36 more x than y
⇒ x = 36 + y - Fundraiser raised 574 dollars in total
⇒ 7x + 16y = 574 dollars
Question: How many individual tickets were sold? (What is the value of <em>x</em>?)
Here are all the equations we have created:
We can solve for the value of <em>x</em> using systems of equations.
First, isolate <em>y</em> in the first equation:

Now, plug this into the second equation:

Therefore, <em>x</em> is equal to 50.
<h2>Answer</h2>
50 individual tickets were sold.
Step-by-step explanation: Arrange the terms in ascending order: -7, -2/5, 3/9, 11/12.
Hope this helps! :D
-TanqR
28 + 8*10.5 = 28 + 84 = 112
The weekly cost is $112