Answer:
1/20
Step-by-step explanation:
if you add them all up it equals 100.And 5% was horror movies. 5/100 you divide both the top and the bottom by 5 and you get 1/20... I hope that this helpful
Answer:
Step-by-step explanation:
5x+y-7=0 isolate y
y=-5x+7 (m=-5,b=7)
9x+7y-14=0
7y=14-9x ( divide both sides by 7)
y=-9x/7 +14/7
y=-9/7 + 2 (m=-9/7, b=2)
x+y=1000
4x+3y=3600 ( multiply the first equation by 3 to eliminate y)
3x+3y=3000
4x+3y=3600 ( subtract the two equations)
3x+3y-(4x+3y)=3000-3600
3x+3y-4x-3y=-600
-x=-600
x=600 ( substitute x in the equation)
x+y=1000
600+y=1000
y=1000-600=400
check : x+y=1000 , (600+400)=1000
check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600
how many tickets are sold :
adults x=600/4=150
kids (y)=400/3=133 tickets+1 dollars left
unless( x represent kids then x=200, y represent adult = 100)
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
If m and n are parallel, then that's like saying 3x-10 is equal to 5x-30 (or 3x-10 = 5x-30).
If that's the case, then You'll need to format the problem so you can solve for x. In order to solve this equation, we need to group all the variable terms on one side, and all of the constant terms on the other side of the equation.
So the -10, will be moved to the right side and the 5x will be moved to the left side. Also as each term that moves, it causes their signs to change.
So we now have the problem of 3x-5x=10-30. Now we can start to simplify the problem by combining like terms.
So 3x-5x = -2x and 10-30=-20 or more simply -2x=-20
Now we need to isolate the variable x so it's on a side by itself.
The easiest way to do this is simply divide both sides by 2, which gives us 2x/2=20/2 or more simply, x=20/2.
So we're down to the simple problem of x=20/2 which equals 10. So x=10.
1)50
2)25
3)10
4)20
5)50
6)100
