Answer:a.100+(hx25)
b.120+(hx20)
c.4 hours
h=hours
Step-by-step explanation:
Make bottom numbers same
they should be 40
to kee p fractions the same multiply topo and bottom by same number
3/8 times 5/5=15/40
1/5 times 8/8=8/40
15/40+8/40=23/40
Part A: subtract 30 from both sides to get -vp<45. Then divide both sides by -v and flip the signs to get p>45/-v
Part B: subtract 3w from both sides to get -6r=30. Then divide -6 by both sides to get 3w/-6-5=r
For the surface of rectangle to be minimum the the dimensions must be equal. Let the length=width=height=x cm
thus the volume will be:
x×x×x=28
x³=28
x=∛28
x=2√7 cm
thus the dimensions are such that length=width=height=2√7
Given expression is
![\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E%7B11%7Dy%5E8%7D%7B81x%5E7y%5E6%7D%7D)
Radical is fourth root
first we simplify the terms inside the radical
So the expression becomes
![\sqrt[4]{\frac{16x^4y^2}{81}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E4y%5E2%7D%7B81%7D%7D)
Now we take fourth root
![\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
![\sqrt[4]{81} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%203)
![\sqrt[4]{x^4} = x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E4%7D%20%3D%20x)
We cannot simplify fourth root (y^2)
After simplification , expression becomes
![\frac{2x\sqrt[4]{y^2}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E2%7D%7D%7B3%7D)
Answer is option B
