Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
Answer:
b
Step-by-step explanation:
gjhghjghj
Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25
General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0
Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
<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.