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Anna71 [15]
2 years ago
5

Simplify 4/(√5+ √2) - 3/(√5- √2)​

Mathematics
1 answer:
MakcuM [25]2 years ago
8 0

Step-by-step explanation:

\frac{4}{ \sqrt{5} +   \sqrt{2}}  -  \frac{3}{ \sqrt{5} -  \sqrt{2}  }  =  \\  =  \frac{4( \sqrt{5}  -  \sqrt{2} ) - 3( \sqrt{5} +  \sqrt{2} ) }{( \sqrt{5}  +  \sqrt{2}  )\times ( \sqrt{5}  -  \sqrt{2} )}  =  \\  =  \frac{4 \sqrt{5} - 4 \sqrt{2}  - 3 \sqrt{5} - 3 \sqrt{2}   }{5 -  \sqrt{10}  +  \sqrt{10} - 2 }  =  \\  =  \frac{ \sqrt{5}  - 7 \sqrt{2} }{3}

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A chemist is using 336 milliliters of a solution of acid and water. If 19.4 % of the solution is acid, how many milliliters of a
denpristay [2]

Answer:

65.2 milliliters

Step-by-step explanation:

The quantity 336 milliliters is the 100% of the solution. We can represent this information on a table:

Milliliters        Percentage of solution

     336        ⇔            100%

we are told that 19.4% of this solution is acid, and we need to know how many milliliters represents this percentage. I will call the number of milliliters of acid on the solution 'x', and updating the last table:

Milliliters        Percentage of solution

     336        ⇔            100

     x             ⇔            19.4%

We can solve this problem for 'x' using the<u> rule of three</u> which is to multiply the cross quantities on the table (336 by 19.4) and then divide by the remaining amount (100):

x = 336(19.4)/100

x = 6,518.4/100

x = 65.184

which rounding to the nearest tenth is: 65.2 milliliters

8 0
3 years ago
Please help me with another problem
lorasvet [3.4K]
"one" will fill both blanks.
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3 years ago
Mr. Adams asked two random groups of 20 students each how many minutes they spent playing video games last night. The interquart
satela [25.4K]

Answer:

I think its  

Step-by-step explanation:

I think its a because the IQR is the third quartile minus the first quartile (third-first=IQR)(the first is the middle number between the minimum and median and the third quartile is the middle number between the median and the maximum)so anyway it just makes sense that the answer would be B

7 0
2 years ago
Read 2 more answers
Write 4.625 as a mixed number in simplest form
Zarrin [17]
4 625/1,000 to 4 25/40 to 4 5/8
4 0
3 years ago
This is due tonight please help
CaHeK987 [17]

Answer:

81x^4

Step-by-step explanation:

With exponents, whatever is in the parentheses is multiplied by <u>itself</u> however many times the exponent says.

In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.

3^4 = 81 with x^4 gives you:

81x^4

Hope this helps you :)

8 0
2 years ago
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