Answer:
x=3
Step-by-step explanation:
6x+6=5x+9
x+6=9
x=3
The rate in
![\frac{ {m}^{3} }{ {m}^{2} } \: is \:0.25\frac{ {m}^{3} }{ {m}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bm%7D%5E%7B3%7D%20%7D%7B%20%7Bm%7D%5E%7B2%7D%20%7D%20%20%5C%3A%20is%20%5C%3A0.25%5Cfrac%7B%20%7Bm%7D%5E%7B3%7D%20%7D%7B%20%7Bm%7D%5E%7B2%7D%20%7D)
<h3>How to find rate is riya applying mulch in m^3/m^2 ?</h3>
given that riya applies it at a rate of 250,000 cm^3 of mulch for every m^2 of garden space.
we already know that 1m = 100cm.
so, each side of this cube is 100cm in length.
so,![100 \times 100 \times 100 \: {cm}^{3} \: in \: {m}^{3}](https://tex.z-dn.net/?f=100%20%5Ctimes%20100%20%5Ctimes%20100%20%5C%3A%20%7Bcm%7D%5E%7B3%7D%20%20%5C%3A%20in%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
To find what is the volume in cubic metres.
![\frac{250000}{10000000} = \frac{1}{4} = 0.25 \frac{ {m}^{3} }{ { m}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B250000%7D%7B10000000%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%3D%200.25%20%5Cfrac%7B%20%7Bm%7D%5E%7B3%7D%20%7D%7B%20%7B%20m%7D%5E%7B2%7D%20%7D%20)
so, the rate is![0.25 \frac{ {m}^{3} }{ {m}^{2} }](https://tex.z-dn.net/?f=0.25%20%5Cfrac%7B%20%7Bm%7D%5E%7B3%7D%20%7D%7B%20%7Bm%7D%5E%7B2%7D%20%7D%20)
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Question : Riya is applying mulch to her garden.She applies it at a rate of 250,000 cm^3 of mulch for every m^2 of garden space. At what rate is riya applying mulch in m^3/m^2
Answer:
tess
Step-by-step explanation:
Step-by-step explanation:
Since, y varies inversely as x.
![\therefore \: y = \frac{k}{x} \\ (k = constant \: of \: proportionality) \\ \therefore \: xy = k...(1) \\ plug \: y = 194 \: \: and \: \: x = - 13 \: in \: (1) \\ \therefore \: - 13 \times 194= k \\ \therefore \: k = - 2522 \\ substituting \: k = - 2522 \: in \: (1) \\ xy = - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y = - 2522 \\ \therefore \:y = \frac{ - 2522}{50} \\ \huge \red{ \boxed{\therefore \:y = - 50.44}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20y%20%3D%20%20%5Cfrac%7Bk%7D%7Bx%7D%20%20%5C%5C%20%28k%20%3D%20constant%20%5C%3A%20of%20%5C%3A%20proportionality%29%20%5C%5C%20%20%20%5Ctherefore%20%5C%3A%20xy%20%3D%20%20k...%281%29%20%5C%5C%20plug%20%5C%3A%20y%20%3D%20194%20%5C%3A%20%20%5C%3A%20and%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%2013%20%5C%3A%20in%20%5C%3A%20%281%29%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20-%2013%20%5Ctimes%20194%3D%20%20k%20%5C%5C%20%5Ctherefore%20%5C%3A%20k%20%3D%20%20-%202522%20%5C%5C%20substituting%20%5C%3A%20k%20%3D%20%20-%202522%20%5C%3A%20in%20%5C%3A%20%281%29%20%5C%5C%20xy%20%3D%20%20-%202522...%282%29%20%5C%5C%20this%20%5C%3A%20is%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20variation.%20%5C%5C%20plug%20%5C%3A%20x%20%3D%2050%20%5C%3A%20in%20%5C%3A%20%282%29%20%5C%5C%2050%20%5Ctimes%20y%20%3D%20%20-%202522%20%5C%5C%20%20%5Ctherefore%20%5C%3Ay%20%3D%20%20%5Cfrac%7B%20-%202522%7D%7B50%7D%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3Ay%20%3D%20%20%20-%2050.44%7D%7D)