Answer:
Step-by-step explanation:sorry
Answer:
4.5cm
Step-by-step explanation:
Circumference = 2
r
28.3=2
r
28.3/2
=r
4.456
They are left with 0.51 pounds of clay.
Step-by-step explanation:
Given,
Amount of clay bought = 3.8 pounds
Amount used by Martha = ![\frac{1}{4}\ of\ clay](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5C%20of%5C%20clay)
Amount used by Martha = ![\frac{1}{4}*3.8=0.95\ pounds](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2A3.8%3D0.95%5C%20pounds)
Amount left after Martha's use= Total amount - amount used by Martha
Amount left = 3.8 - 0.95 = 2.85 pounds
Amount used by Scott = ![\frac{2}{5}\ of\ amount\ left](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%5C%20of%5C%20amount%5C%20left)
Amount used by Scott = ![\frac{2}{5}*2.85=\frac{5.70}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%2A2.85%3D%5Cfrac%7B5.70%7D%7B5%7D)
Amount used by Scott = 1.14 pounds
Amount left after Scott's use = Amount left after Martha's - Amount used by Scott
Amount left after Scott's use = 2.85 - 1.14 = 1.71 pounds
Amount used by Alison = 1.2 pounds
Amount left = Amount left after Scott's use - Amount used by Alison
Amount left = 1.71 - 1.2 = 0.51 pounds
They are left with 0.51 pounds of clay.
Keywords: subtraction, fraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
No, the correct answer of
= ![\frac{11}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B12%7D)
Step-by-step explanation:
The given expression is ![-1\frac{3}{4} + 1\frac{1}{6}](https://tex.z-dn.net/?f=-1%5Cfrac%7B3%7D%7B4%7D%20%20%2B%201%5Cfrac%7B1%7D%7B6%7D)
As we know that a mixed fraction
can be converted into proper or improper fraction as ![a\frac{b}{c} = \frac{ac + b}{c}](https://tex.z-dn.net/?f=a%5Cfrac%7Bb%7D%7Bc%7D%20%20%3D%20%5Cfrac%7Bac%20%2B%20b%7D%7Bc%7D)
⇒
= ![\frac{-4 + 3}{4} = \frac{-1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%20%2B%203%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B-1%7D%7B4%7D)
and,
=
Hence, the simplified expression = ![\frac{-1}{4} + \frac{7}{6} = \frac{-1(3) + 7(2)}{12} = \frac{11}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B4%7D%20%20%2B%20%5Cfrac%7B7%7D%7B6%7D%20%20%3D%20%5Cfrac%7B-1%283%29%20%20%2B%207%282%29%7D%7B12%7D%20%20%20%3D%20%5Cfrac%7B11%7D%7B12%7D)
or,
= ![\frac{11}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B12%7D)
Answer:
4a³b²√(3b)
Step-by-step explanation:
Even powers of any of the factors can be brought out from under the square root radical.
![\sqrt{48a^6b^5}=\sqrt{(4^2a^6b^4)(3b)}=\sqrt{(4a^3b^2)^2(3b)}=\boxed{4a^3b^2\sqrt{3b}}](https://tex.z-dn.net/?f=%5Csqrt%7B48a%5E6b%5E5%7D%3D%5Csqrt%7B%284%5E2a%5E6b%5E4%29%283b%29%7D%3D%5Csqrt%7B%284a%5E3b%5E2%29%5E2%283b%29%7D%3D%5Cboxed%7B4a%5E3b%5E2%5Csqrt%7B3b%7D%7D)