<span>Answer: 4
Explanation:
Translate the english language to mathematical (algebraic) language.
This implies to define the variables and translates the statements into equations.
1) Adventure
Play sells an mp3 player for $18.00 and charges $3.25 per song.
Cost = price of the mp3 player + price each song * number of songs
Variables:
number of songs: n
price each son: $3.25
price of the mp3 player: $ 18.00
Cost: c(n), this means that the cost is a function of n.
c(n) = 18 + 3.25n
2) King
Music sells a player for $23.00 and charges $2.00 per song. For how many
songs will the cost be the same?
Using the same procedure used for Adventure Play case:
c(n) = 23 + 2n
3) Equal cost =>
18 + 3.25n = 23 + 2n
=> 3.25n - 2n = 23 - 18
=> 1.25n = 5
=> n = 5 / 1.25
=> n = 4
Answer: the cost will be the same for 4 songs.
</span>
Skip: -1/3 y-intercept: (0,6)
The midpoint of the diameter endpoints is the center of the circle...
((2+9)/2, (4+4)/2)
(5.5, 4) is the center of the circle...
The distance between the two endpoints is the diameter of the circle...
d^2=(4-4)^2+(9-2)^2
d^2=0+49
d^2=49
d=7
So the radius is d/2 which is 3.5
Now the equation of a circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) is the coordinates of the center and r is the radius.
Earlier we found (h,k) to be (5.5, 4) and r=3.5 so our equation is:
(x-5.5)^2+(y-4)^2=3.5^2
(x-5.5)^2+(y-4)^2=12.25
Answer:
see below
Step-by-step explanation:
The equation to determine the work time is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/80 + 1/30 = 1/c
Multiply by the least common denominator to clear the fractions, which is 240c
240c(1/80 + 1/30 = 1/c)
3c+8c = 240
11c = 240
Divide by 11
11c/11 =240/11
c = 240/11 minutes
c=21.81818
Approximately 22 minutes
Answer:
In the most popular abroad country: 29,255 students
In the second-most one: 20,872 students
Step-by-step explanation:
Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.
