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 ! :)
Answer:
B
Step-by-step explanation:
You use the side oppo the angle and the side that is labelled in trigonometry
Answer:
7200
Step-by-step explanation:
{1800× (90)} ÷ 495 ÷ -(-22)
= 162000÷ 495÷ 22
= 162000×22÷ 495
= 7200
If you factor it then your answer will be -3(-3z-5) if you simplify the answer is 9z+15
Answer:
x=1
y= -1
z=2
Step-by-step explanation:
x+y+z=2 and x-y-2z=6
if z=2 then
x+y+2=2 and x-y+4=6
and these become
x+y=0 and x-y=2
usign linear cancellation method we get
2x=2
dividing both sides by 2 we get
x=1
then going back to one of the original equations and plugging x=1 and z=2 we get
1+y+2=2
solving for y we get
y= -1