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goldenfox [79]
3 years ago
15

(1/2)/(2/3) evaluate

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

\frac{3}{4}

Step-by-step explanation:

  1. Find a common denominator for the 2 denominators: 6
  2. Change the fractions: 2 × 3 = 6, 1 × 3 = 3, 3 × 2 = 6, 2 × 2 = 4
  3. Re-write the fractions: \frac{3}{6} and \frac{4}{6}  
  4. Write as an expression: \frac{3}{6} ÷ \frac{4}{6}  
  5. \frac{3}{6} ÷ \frac{4}{6} = \frac{3}{6} × \frac{6}{4}
  6. \frac{3}{6} × \frac{6}{4} = \frac{18}{24}  
  7. \frac{18}{24} = \frac{3}{4}  

I hope this helps!

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Solve the equation 5x-6 is greater than 9
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--------------------
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Could anyone help me with this whole question? The bottom drop-down question options are, does or does not
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Answer:Values for the coefficient in the product k:

a=b=c=d=3*10^8, so the first four boxes should be filled with the number "3"

Drop down arrow: "does"

Step-by-step explanation:

We perform all the products of wavelength time frequency indicated for the column of the quantity "k":

a=1 * 10^{-10} * 3\, * 10^{18} = 3 * 10^{-10+18} = 3 * 10^{8}=

b=1 * 10^{-1}*3*10^9=3* 10^{-1+9}=3*10^8

c=600*10^{-6}*5*10^{11}=3000*10^{-6+11}=3000*10^5=3*10^3*10^5=\\=3*10^{3+5}=3*10^8

d=4*10^{-7}*7.5*10^{14}=30.0*10^{-7+14}=30*10^7=3*10*10^7=\\=3*10^{1+7}=3*10^8

Therefore, all products of these different wavelengths and their associated frequencies render the exact same answer : 3*10^8, which means that as one of these quantities increase, the other one will decrease in the same proportion to give the same numerical answer.

This means that the two quantities are associated via inverse proportionality. As seen in the equation below, if the quantities "x" and "y" are related by inverse proportionality (shown as one equals a constant "A" divided by the other variable), their product x*y will give that constant value "A" (which in our case is 3*10^8.

x=\frac{A}{y} \\x*y=A

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