Six people are standing in line for concert tickets. Their average age is 27. the average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?
Answers
6 * 27
162
Subtotal age of first 4
4 * 23
92
Subtotal of last 3
3 * 34
102
In the total of the first 4 and last 3
the 4th person has been counted twice.
This second time must be subtracted.
Therefor
92 + 102 - x = 162
194 - x = 162
Subtract 194 from both sides
-x = -32
Multiply both sides by -1
x = 32
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The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle? A. x2 + y2 − 6x − 16y + 48 = 0 B. x2 + y2 − 6x − 16y − 25 = 0 C. x2 + y2 + 6x + 16y + 48 = 0 D. x2 + y2 + 6x + 16y − 25 = 0
Answers
Final answer:
To find EG, we equate EF to EG and solve for x. Substituting the value of x back into EG gives us a final answer of 22.5.
Explanation:
In the given question, F is the midpoint of EG. We are given that EF = 5x and EG = 7x + 5. To find the value of EG, we need to equate EF to EG and solve for x.
Given: EF = EG = 5x
Substituting the values, we get: 5x = 7x + 5
Simplifying the equation: 2x = 5
Dividing both sides by 2, we find: x = 2.5
Now, substituting the value of x back into EG, we get: EG = 7(2.5) + 5 = 17.5 + 5 = 22.5
Therefore, EG is equal to 22.5
Learn more about EG here:
#SPJ12
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The x-intercepts:
0 = x + 4
0 = x - 2
x = -4
x = 2
The vertex:
y = (x + 4)(x - 2)
y = x^2 + 2x - 8
x = -b/2a
If ax^2 + bx + c, then:
a = 1
b = 2
c - 8
x -2/2(1)
x = -1
y = (-1)^2 + 2(-1) - 8
y = -9
The vertex is (-1, -9)
The x-intercepts are -4 and 2
Answer: vertex: (1,-9); intercepts: x=4,-2
Step-by-step explanation:
Just got it wrong on ap3x so I could give y’all the right answer
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subtract 77 from both sides
p+77-77=101-77
p+0=24
p=24
tada
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Answer:
I believe that this is true. Anyone can do well in math, not everyone. The main difference being that if EVERYone could, that means every one person in the world, no matter the circumstance, so by saying ANYone, it's saying that however many people in the world want to do it, can do it, if they try and put in the work. Math is not biased against any one person, nor is it favored for any one person. Any person who studies, or learns it can do well in math. Someone who has never learned anything about math will not do well at all. So, yes, ANYone can do well, but not EVERYone.
Not 100 words, but should do trick if you just add in some extra words between phrases, and substitute some words with one or two synonyms.