Answer:
There are many.
Step-by-step explanation:
When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.
An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.
That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:
That's the same ratio scaled up by a factor of 2.
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That's the ratio given
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Scaled up by a factor of 4
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Scaled up by a factor of 5.
The list goes on and on.
2y+4x=12
Move 4x to the other side as a negative number
2y=-4x+12
Divide all terms by 2
y=-2x+6
Now, in order for two lines to be perpendicular, their gradients have to multiply obeyed to get -1 (let a be the gradient of the given line and let b be the gradient of the line we're trying to find)
So, we do -2*b=-1
so, b is equal to 1/2
Now, we are given a coordinate so we substitute it in y-y1=m(x-x1)
y-1=1/2(x-8)
Expand brackets
y-1= 1/2x-4
Take -1 to the other side as a positive number
y=1/2x-3
So, the equation of the line is y=1/2x-3
Answer:
$7 for an adult ticket
$6 for a child ticket
Step-by-step explanation:
Add up the total child and adult tickets from both the days.
Adult tickets - 15
Child tickets- 10
Then I divided 165 but 25 and got 6.6.
The child ticket should be less than the adult so I guessed that the adult would be around $7 and the child ticket would be around 6.
I double checked my work by doing...
3*7 giving me 21
and
9*6 giving me 54.
Then I added these up to get $75 which was the total from the first day. This shows that our answer is correct
Answer:
48p^2 +4p-4
Step-by-step explanation:
Use Foil Method
First: 8p*6p=48p^2
Outsides: 8p*2=16p
Insides: -2*6p=-12p
Lasts: -2* 2=-4
simplify:
48p^2 +16p - 12p -4
ANSWER 48p^2 +4p-4
Have a great day!
Multiply both sides by 3 and get 2x - 20 = 6x
Then subtract 2x from both sides and get
-20 = 4x. Divide both sides by 4 and then get x = -5
