Answer:
simple. y=x+2
Step-by-step explanation:
:) ======
Answer:
X=10
Step-by-step explanation:
You can subtract 180 by 110 to get 70. Then you can do 8x+30+70=180
Add 30+70 to get 100
Subtract 100 to 180 to get 80.
8x=80
You divide 8 from both sides which leaves you with x=10.
Step-by-step explanation:
In 20 seconds, Ebonie ran 80 feet
In 1 second,. Ebonie ran. 80/20 feet
= 4 feet
so, Ebonie 's speed is 4 ft/sec.
and
In 12 seconds , Trinidi ran 60 ft
In 1 second,. she ran 60/12
= 5 ft
so , Trinity's speed is 5ft/ sec
4
If two triangles are similar, corresponding sides are in proportion. So, we have
![\dfrac{17.5}{14} = \dfrac{2y}{y+3}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B17.5%7D%7B14%7D%20%3D%20%5Cdfrac%7B2y%7D%7By%2B3%7D)
Multiply both sides by
to get
![17.5(y+3) = 28y](https://tex.z-dn.net/?f=%2017.5%28y%2B3%29%20%3D%2028y%20)
Expand the left hand side:
![17.5y + 52.5 = 28y](https://tex.z-dn.net/?f=%2017.5y%20%2B%2052.5%20%3D%2028y%20)
Subtract 17.5y from both sides:
![52.5 = 10.5y](https://tex.z-dn.net/?f=%2052.5%20%3D%2010.5y%20)
Divide both sides by 10.5:
![y = 5](https://tex.z-dn.net/?f=%20y%20%3D%205%20)
8
Given the ratio
![\dfrac{x}{y} = \dfrac{4}{11}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Bx%7D%7By%7D%20%3D%20%5Cdfrac%7B4%7D%7B11%7D%20)
we can deduce
![x = \dfrac{4}{11}y](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B4%7D%7B11%7Dy)
The perimeter of the rectangle is given by
![2x+2y = 2\cdot \dfrac{4}{11}y + 2y = \dfrac{30}{11}y = 650 \iff y = \dfrac{715}{3}](https://tex.z-dn.net/?f=%202x%2B2y%20%3D%202%5Ccdot%20%5Cdfrac%7B4%7D%7B11%7Dy%20%2B%202y%20%3D%20%5Cdfrac%7B30%7D%7B11%7Dy%20%3D%20650%20%5Ciff%20y%20%3D%20%5Cdfrac%7B715%7D%7B3%7D%20)
Now we can deduce the value for x:
![x = \dfrac{4}{11}\cdot\dfrac{715}{3} = \dfrac{260}{3}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B4%7D%7B11%7D%5Ccdot%5Cdfrac%7B715%7D%7B3%7D%20%3D%20%5Cdfrac%7B260%7D%7B3%7D)