With the information given we can wirte down 2 different equations where:
x = How many Fictoon books there are
A nd y = How many non-fiction books there are :
#1) x + y = 312
( The total of the books is 312 )
#2) x = 11y
(He has 11 times as many firction books as he has non-ficton books)
Now what we need to do is to isolate one the variables ( x or y ) , get its value and apply to one the equations to get the other variable's value:
We can do that by the property of substitution:
If x = 11y
then x + y = (11y) + y = 12y
If x + y = 312
and x + y = 12y
then 12y = 312
Now with the equation 12y = 312 , we can isolate y by dividing both sides of the equation by 12 :
12/12y = 312/12
y = 26
What that means : Mark has 26 non-fictional books.
Now that we have the value of y , we can find the value of x by plugging y to one of the equations :
x + y = 312
or
x = 7y
( I will do both , but you dont need to )
x + y = 312
Plugin 26 for y :
x + 26 = 312
Shift 26 to the other side of the equation by subtracting both sides of the equation by 26:
x + 26 - 26 = 312 - 26
26 - 26 cancel out , so we end up with :
x = 286
Second Equation :
x = 11y
Plugin 26 for y:
x = 11 × 26
x = 286
Awnser : Mark has 286 fictoon books and 26 non-fiction !
I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)
Let x be the distance of the additional water stations from the starting line.
We want on that is 1.5 miles behind the 8-mile water station, and one that is 1.5 miles ahead. The following absolute value function describes x:
|x-1.5| = 8
Two numbers comply: x= 9.5 and 6.5.
The additional water stations will be 6.5 and 9.5 miles from the starting line.
250 * 0.20 = $50 sale
250 - 50 = $200
You will pay $200 after sale
Part A
Chorus:
Expontential growth = b*a^x
b = 15
a = 1.12 (a= r+1), r = 12%
Which gives a function of f(x) = 15*1.12^x
Band
Linear growth = ax+b
a = 2
b = 30
Which gives a function of g(x)=2x+30
Part B:
f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48
Part C:
This is probably problem solving, where you're allowed to use calculators and other softwares.
Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141
