What is the LCD of 5/12 and -9/16 ?

2 answers:

8 0

List the multiples of 12 and 16

Multiples of 12: 12, 24, 36, 48, 60
Multiples of 16: 16, 32, 48, 64, 80

So, the LCD of 12 and 16 is 48.

Least Common Denominator is the same thing as Least Common Multiple.

Andreyy893 years ago

7 0

The least common denominator of 5/12 and -9/16

The answer is 48.

Now, we have to change the numerators also to make this a equal fraction to the first ones we had.

5*4 = 20
12*4 = 48

20/48

-9*3 = -27
16*3 = 48

-27/48

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Use Natural Logarithms to solve the equation

Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x = 11

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

x =.106151244

To the nearest thousandth

x = .106

7 0

3 years ago

What is thirty two percent of fifty six

mojhsa [17]

Answer: 17.92

Step-by-step explanation:

32% of 56

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

5 0

3 years ago

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

Norma-Jean [14]

Answer: The required number of books that Ruben had before purchases is 50.

Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

We are to find the number of books that Ruben had before purchases.

Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

$x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.$