The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
Answer:
![x=-4\\ x=-2\\ y=-21\\ y=-15](https://tex.z-dn.net/?f=x%3D-4%5C%5C%20x%3D-2%5C%5C%20y%3D-21%5C%5C%20y%3D-15)
Step-by-step explanation:
![x^{2} =2y+10](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D2y%2B10)
![y=-9+3x](https://tex.z-dn.net/?f=y%3D-9%2B3x)
![x^{2} =2(-9+3x)+10](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D2%28-9%2B3x%29%2B10)
![x^{2} =-18+6x+10](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D-18%2B6x%2B10)
![x^{2} =6x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D6x-8)
![x^{2} -6x+8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-6x%2B8)
![x=-4, -2](https://tex.z-dn.net/?f=x%3D-4%2C%20-2)
![y=-9+3(-4)](https://tex.z-dn.net/?f=y%3D-9%2B3%28-4%29)
![y=-9-12](https://tex.z-dn.net/?f=y%3D-9-12)
![y=-21](https://tex.z-dn.net/?f=y%3D-21)
![y=-9+3(-2)](https://tex.z-dn.net/?f=y%3D-9%2B3%28-2%29)
![y=-9-6](https://tex.z-dn.net/?f=y%3D-9-6)
![y=-15](https://tex.z-dn.net/?f=y%3D-15)
Ratio is a division in its simplest form.
To get the ratio of length to width, divide the two then simplify.
In this case, convert the length and width into decimals.
length = 7 1/2 = 7.5
width 4 3/4 = 4.75
ratio of length to width is;
7.5/4.75 = 750/475
This can now be written as;
750 : 475
Dividing both sides by 25;
= 750/25: 475/25
= 30 : 19
There's a really easy way to convert any units to other units.
Right now, we have the fraction (4 miles) / (2 hours).
We want to find a fraction that's exactly equal to that one,
but has the units of (miles/minute) or maybe (feet/minute).
Just take the original fraction, and multiply it by some other
fractions.
Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction. But it can
have different units, that cancel with other units to eventually
give you the units you want.
(4 miles / 2 hours) times (1 hour / 60 minutes)
The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ... 1 hour is the same thing as 60 minutes.
Multiply the fractions: (4 miles x 1 hour) / (2 hour x 60 minutes)
Now you can cancel 'hour' from the top and the bottom, and you have
(4 miles x 1) / (2 x 60 minutes)
= (4 miles) / (120 minutes)
= (4 / 120) mile/minute = 0.0333... mile / minute .
Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer.
(4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)
The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom.
Multiply all three fractions:
(4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)
You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:
(4 x 5280 feet x 1) / (2 x 1 x 60 minutes)
= (4 x 5280) / (2 x 60) feet / minutes
= (21,120 / 120) feet/minute = 176 feet per minute