Step-by-step explanation:
- 3x+5y=7b equation 1
- 2x+4y=1
2x=-4y+1
- x=(-4y+1)/2
- x=(-4y+1)/2 in equation 1
3×(-4y+1)/2+5y=7b
(-12y+3)/2+5y=7b
(-12y+3+10y)/2=7b
(-12y+3)/2=7b
-12y+3=14b
-12y=14b-3
- y=3-14b/12
- y=3-14b/12 in x=(-4y+1)/2
x=(-4×{3-14b/12}+1)/2
x=(-3+14b)/3+1/2
x=14b/3×1/2
Answer:
C) -9.6
Step-by-step explanation:
Answer:
≤ Note: without the equal
Step-by-step:
√7 =2.645
14/5 = 2.8
Answer:
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Step-by-step explanation:
By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:
Community swimming pool
![V_{c} = l\cdot w\cdot h (1)](https://tex.z-dn.net/?f=V_%7Bc%7D%20%3D%20l%5Ccdot%20w%5Ccdot%20h%20%281%29)
Wading pool
![V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)](https://tex.z-dn.net/?f=V_%7Bw%7D%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20l%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20h%5Cright%29%5Ccdot%20w%20%282%29)
Where:
l – Length of the swimming pool, measured in feet.
h – Depth of the swimming pool, measured in feet.
w – Width of the swimming pool, measured in feet.
– Volume of the community swimming pool, measured in cubic feet.
– Volume of the wading swimming pool, measured in cubic feet.
The ratio of the volume of the community swimming pool to the volume of the wadling pool is:
![\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bc%7D%7D%7BV_%7Bw%7D%7D%20%3D%20%5Cfrac%7Bl%5Ccdot%20w%20%5Ccdot%20h%7D%7B%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20l%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20h%5Cright%29%5Ccdot%20w%7D%20%283%29)
![\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bc%7D%7D%7BV_%7Bw%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B4%7D%20%7D)
![\frac{V_{c}}{V_{w}} = 4](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bc%7D%7D%7BV_%7Bw%7D%7D%20%3D%204)
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.