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Scilla [17]
3 years ago
14

How do you simplify the square root of 48

Mathematics
1 answer:
noname [10]3 years ago
4 0
When you simplify the square root of a number, you are looking for factors of the number that are perfect squares that you can remove from under the radical.  For example sq root of 8... it's not a perfect square but factors of 8 include 2 x 4... 4 is a perfect square so we can take it out of the radical by taking it's square root.  Now you are left with 2* sq root of 2.

For sq root of 48

48 = 12 x 4 

12 = 3x4  so we can say 48 = 3x4x4

so... sq root 48 = sq root 3x4x4

we have two 4's under the radical.  Sq root x^2 = x    so sq root 4^2 is 4

Pull it out from the radical and we are left with 4 * sq root 3
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3 years ago
Complete the sequence <br> 3, -6, 12, -24 , 48
scoundrel [369]

3*-2=-6

-6*-2=12

The sequence is a number being multiplied by -2 over and over.

48, -96, 192, -384, 768, etc.

4 0
3 years ago
Read 2 more answers
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
Alberta Doan worked 6 hours at time-and-a-half pay and 3 ¼ hours at double-time pay. Her regular pay rate was $9.72 an hour. Wha
natka813 [3]

Answer:

Alberta's total overtime pay of the week was $ 145.80.

Step-by-step explanation:

Given that Alberta worked 6 hours at time-and-a-half pay, and 3 hours at double-time pay, and that the value of her regular work hour is $ 9.72, to determine the value of the pay of his overtime, the following equation must be performed:

6x1.5x9.72 + 3x2x9.72 = X

9x9.72 + 6x9.72 = X

87.48 + 58.32 = X

145.8 = X

Therefore, Alberta's total overtime pay of the week was $ 145.80.

3 0
3 years ago
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vladimir1956 [14]
First one because when you subtract 7 u keep the var. x alone and isolate it.
5 0
3 years ago
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