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3 years ago

Preform the indicated operation 1/3÷3/8

Mathematics

2 answers:

Sladkaya [172]3 years ago

8 0

Answer:

$\frac{8}{9}$

Step-by-step explanation:

$\frac{1}{3}$ ÷ $\frac{3}{8}$ = $\frac{1}{3}$ x $\frac{8}{3}$ = $\frac{8}{9}$

Effectus [21]3 years ago

6 0

Answer:

1/3 divided by 3/8 is 8/9

Step-by-step explanation:

The answer is 8/9 because 1/3 multiplied by 8/3 is 8/9

P.S Can I have brainliest?

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If <img src="https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20x%20%3D%20log_%7Ba%7D%28bc%29" id="TexFormula1" title="\rm \: x = log_{a}(

timama [110]

Use the change-of-basis identity,

$\log_x(y) = \dfrac{\ln(y)}{\ln(x)}$

to write

$xyz = \log_a(bc) \log_b(ac) \log_c(ab) = \dfrac{\ln(bc) \ln(ac) \ln(ab)}{\ln(a) \ln(b) \ln(c)}$

Use the product-to-sum identity,

$\log_x(yz) = \log_x(y) + \log_x(z)$

to write

$xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}$

Redistribute the factors on the left side as

$xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}$

and simplify to

$xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)$

Now expand the right side:

$xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}$

Simplify and rewrite using the logarithm properties mentioned earlier.

$xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} + \dfrac{\ln(a)}{\ln(b)} + \dfrac{\ln(c)}{\ln(a)} + \dfrac{\ln(b)}{\ln(c)} + 1$

$xyz = 2 + \dfrac{\ln(c)+\ln(a)}{\ln(b)} + \dfrac{\ln(a)+\ln(b)}{\ln(c)} + \dfrac{\ln(b)+\ln(c)}{\ln(a)}$

$xyz = 2 + \dfrac{\ln(ac)}{\ln(b)} + \dfrac{\ln(ab)}{\ln(c)} + \dfrac{\ln(bc)}{\ln(a)}$

$xyz = 2 + \log_b(ac) + \log_c(ab) + \log_a(bc)$

$\implies \boxed{xyz = x + y + z + 2}$

(C)

6 0

2 years ago

Is this statement true or false 8/15 < 3/5

gayaneshka [121]

TRUE because 8/15 = 0.53 which is less than 3/5 = 0.60

7 0

3 years ago

Read 2 more answers

Which of the following is equivalent to the expression 1/2x + 4x + 60

KatRina [158]

Answer:

9x over 2 plus 60 if that's an option

3 0

2 years ago

Gabriela walked to school on 16 of the 24 school days in March. Which value is equivalent to the fraction of the school days in

olchik [2.2K]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction = $\frac{4}{5}$

4 is the numerator while 5 is the denominator

In this question, the numerator would be the number of times she walked to school in march(16). While the denominator would be the number of school days in March

$\frac{16}{24}$

the above fraction is not in its simplest form. To express in its simplest form, divide both numerator and the denominator by 8 . this gives

$\frac{2}{3}$

5 0

2 years ago

Quick help

11Alexandr11 [23.1K]

Isn’t it because of dilation?

8 0

2 years ago

Read 2 more answers

Preform the indicated operation 1/3÷3/8​

Preform the indicated operation 1/3÷3/8