This problem is asking us to make an algebraic equation or representation of the situation. First we have to assign the variables which is already given in the problem. H is the number of the home team and V is the visiting team. Since the problem states there are the home team has five times as manyfans as the visiting team, then it can be represented as:
H = 5V
Also, H + V = 52,000. H and V can then be solves by solving the 2 equations simultaneously. The results are 43,333 and 8,667.
Answer: 11,440 ft change in altitude
Step-by-step explanation: To do this equation, you first need to find a positive number that is high enough to reach positive 11,100. Because we are not starting at zero on the number line and are instead starting at negative 340, the number will be a little higher than 11,100. The simplest way to find the answer is by changing negative 340 to a positive value and adding it to positive 11,100. This should equal 11,440 To prove this, grab a calculator and add 11,440 to negative 340. To make 340 a negative integer, type in that number and then click the button that looks like this, +/_ Once you have added 11,440 to negative 340, the sum of the two integers should pop up as 11,100 on your calculator. The final and correct answer is equivalent to a 11,440-foot change in altitude.
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Answer:
Step-by-step explanation:
The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!
<u>Center of the circle:</u>
- The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).
Using the midpoint formula we'll get:
This is the center coordinate of our circle.
<u>Radius: </u>
The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)
We can use the distance formula:
<u>Equation of the circle: </u>
The equation is written as:
here, (a,b) are the center points of the circle
in our case this is 
and r = 1
This is the equation of the circle!
Answer:
Step-by-step explanation:
Answer:
You are currently 40 years old
Step-by-step explanation:
Let's say the current age is represented by the variable x.
x = current age
The question says that "if you take half my age and add 7, you get my age 13 years ago"
This can be represented like this:
1/2(x) + 7 = x - 13
Now we solve for x using basic algebra:
1/2(x) = x - 20
-1/2(x) = -20
x = 40
To check if this is correct, plug it back into the equation and see if both sides equal each other:
1/2(40) + 7 = (40) - 13
20 + 7 = 27
27 = 27
Hope this helps (●'◡'●)
