Answer: Fraction of the trees will be Oak Willow or pine is given by
![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Since we have given that
Part of the park department is Oak is given by
![\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D)
Part of the park department is Pine is given by
![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
Part of the park department is Willow is given by
![\frac{2}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D)
Total fraction of the trees will be Oak , Willow, Pine is given by
![\frac{1}{10}+\frac{3}{10}+\frac{2}{10}\\\\=\frac{1+3+2}{10}\\\\=\frac{6}{10}\\\\=\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B3%7D%7B10%7D%2B%5Cfrac%7B2%7D%7B10%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%2B3%2B2%7D%7B10%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B10%7D%5C%5C%5C%5C%3D%5Cfrac%7B3%7D%7B5%7D)
Hence, Fraction of the trees will be Oak Willow or pine is given by
![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
Answer:
![y=2x-3](https://tex.z-dn.net/?f=y%3D2x-3)
Step-by-step explanation:
1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to ![2x-y-9=0](https://tex.z-dn.net/?f=2x-y-9%3D0)
![5x+y+4=0](https://tex.z-dn.net/?f=5x%2By%2B4%3D0)
![y= -4-5x](https://tex.z-dn.net/?f=y%3D%20-4-5x)
substituting the value of y in
:
![2x +3(-4-5x)=1\\\\2x-12-15x-1=0\\-13x=13x\\x= \frac{13}{-13}= -1](https://tex.z-dn.net/?f=2x%20%2B3%28-4-5x%29%3D1%5C%5C%5C%5C2x-12-15x-1%3D0%5C%5C-13x%3D13x%5C%5Cx%3D%20%5Cfrac%7B13%7D%7B-13%7D%3D%20-1)
substituting x=-1 in y= -4-5x:
(upon solving, you should get this)
![(x,y)= (-1,1)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%20%28-1%2C1%29)
2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)
![2x-y-9=0\\2x-9=y\\y= 2x-9](https://tex.z-dn.net/?f=2x-y-9%3D0%5C%5C2x-9%3Dy%5C%5Cy%3D%202x-9)
![y= mx+c\\](https://tex.z-dn.net/?f=y%3D%20mx%2Bc%5C%5C)
-1= 2 x 1 +c
-3=c
Answer:
23
Step-by-step explanation:
The sides opposite equal angles of a triangle have equal length:
KJ = IJ
9x -11 = 6x -5
3x = 6 . . . . . . . . add 11-6x
x = 2
__
Perimeter = (7x-5) +(6x -5) +(9x -11) = 22x -21 = 22(2) -21 = 23
The perimeter of triangle JIK is 23 units.
Answer:
cost of the pool per cubic meters = $5
Step-by-step explanation:
The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.
volume of the rectangular pool = length × height × width
volume of the rectangular pool = 30 × 20 × 2
volume of the rectangular pool = 1200 m²
The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.
cost per cubic meters = total cost of installation/volume
cost per cubic meters = 6000/1200
cost of the pool per cubic meters = $5
Answer:
0.75m + 4
10, Nick doesn't have enough money for a 15 minutes car wash.
Step-by-step explanation:
They charge you $4 for the first 5 minutes so you're going to add that into your equation.
They charge you $0.75 for each minute after those 5 minutes, you don't know how many minutes you'll spend so <u>m,</u> the number of minutes is unknown
Now onto the car guy, he says you should at least spend 15 minutes for a car wash. Now multiply 0.75 x 15. You'll get 11.25. Add the 4 and overall you have 15.25. That is NOT less than NOR equal to 10 so therefore he doesn't have enough money. Anything more than 8 minutes is gonna be over $10.
Hope that helps!