Answer:
<h3>3/20*200</h3>
=5*3
=15%
the percentage of the number is 15%
10 of 20%=2 gallons
if 5% = 2 gallons , then 100% = 100x2/5=40
so 40-10 =30 gallons water is needed
Answer: 29/30
Step-by-step explanation: To add these two fractions together, we start by finding their common denominator.
The common denominator for 15 and 10 is 30 so we multiply the top and bottom of our first fraction by 2 to get 8/30 and we multiply the top and bottom of our second fraction by 3 to get 21/30.
Now we are adding like fractions. To add like fractions, we simply add across the numerators.
8/30 + 21/30 = 29/30
Therefore, 4/15 + 7/10 = 29/30.
Answer:
6.58 x 10^-3
Explanation:
Moving the decimal place till it’s in front of the 6
Answer: ![\bold{-19\sqrt{6}+8\sqrt{5}}](https://tex.z-dn.net/?f=%5Cbold%7B-19%5Csqrt%7B6%7D%2B8%5Csqrt%7B5%7D%7D)
<u>Step-by-step explanation:</u>
![.\quad 3\sqrt{24}-7\sqrt{54}-\sqrt{96}+4\sqrt{20}\\\\=3\sqrt{\underline{2\cdot 2}\cdot2 \cdot3}-7\sqrt{2\cdot 3\cdot\underline{3\cdot 3}}-\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2\cdot 3}+4\sqrt{\underline{2\cdot 2}\cdot 5}\\\\=2\cdot 3\sqrt{2 \cdot3}-3\cdot 7\sqrt{2\cdot 3}-2\cdot 2\sqrt{2\cdot 3}+2\cdot 4\sqrt{5}\\\\=6\sqrt{6}-21\sqrt{6}-4\sqrt{6}+8\sqrt{5}\\\\=-19\sqrt{6}+8\sqrt{5}](https://tex.z-dn.net/?f=.%5Cquad%203%5Csqrt%7B24%7D-7%5Csqrt%7B54%7D-%5Csqrt%7B96%7D%2B4%5Csqrt%7B20%7D%5C%5C%5C%5C%3D3%5Csqrt%7B%5Cunderline%7B2%5Ccdot%202%7D%5Ccdot2%20%5Ccdot3%7D-7%5Csqrt%7B2%5Ccdot%203%5Ccdot%5Cunderline%7B3%5Ccdot%203%7D%7D-%5Csqrt%7B%5Cunderline%7B2%5Ccdot%202%7D%5Ccdot%20%5Cunderline%7B2%5Ccdot%202%7D%5Ccdot%202%5Ccdot%203%7D%2B4%5Csqrt%7B%5Cunderline%7B2%5Ccdot%202%7D%5Ccdot%205%7D%5C%5C%5C%5C%3D2%5Ccdot%203%5Csqrt%7B2%20%5Ccdot3%7D-3%5Ccdot%207%5Csqrt%7B2%5Ccdot%203%7D-2%5Ccdot%202%5Csqrt%7B2%5Ccdot%203%7D%2B2%5Ccdot%204%5Csqrt%7B5%7D%5C%5C%5C%5C%3D6%5Csqrt%7B6%7D-21%5Csqrt%7B6%7D-4%5Csqrt%7B6%7D%2B8%5Csqrt%7B5%7D%5C%5C%5C%5C%3D-19%5Csqrt%7B6%7D%2B8%5Csqrt%7B5%7D)