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3 years ago

What is x/9 = 9/27 help plz

Mathematics

1 answer:

Irina18 [472]3 years ago

7 0

<h3>QUESTION: </h3>

what is x/9 = 9/27 help plz

<h3>ANSWER AND SOLUTION: </h3>

SOLVING FOR X

Reduce first the fraction with 9

$\large \sf = \dfrac{x}{9} = \dfrac{ \cancel9}{ \cancel{27}}$

 $\large \sf = \dfrac{x}{9} = \dfrac{1}{3}$ 

Now simplify using cross-multiply

 $\large \sf = \dfrac{3x}{9} = 1$ 

 $\large \sf = 3x = 1 \times 9$ 

 $\large \sf = 3x = 9$ 

Lastly divide both sides

 $\large \sf = 3x \div 3 = 9 \div 3$ 

 $\large \sf = x = 9 \div 3$ 

 $\large \sf = x = 3$ 

<h3>FINAL ANSWER:</h3>

$\huge \orange{ \underline{ \boxed{ \sf{x = 3}}}}$

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

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3 years ago

Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are abou

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Answer:

Step-by-step explanation:

Total 'halwa' made = 1

Divided into four equal portion = 1/4

Arrival of an unexpected guest = 1/5

By what percentage has each family member's share been reduced:

Change in the sharing proportion:

Previous share ratio - new sharing ratio

(1/4 - 1/5) = (5 - 4) / 20 = 1/20

That means total reduction in the sharing = 1/ 20

Since each member comes contributed equally:

Reduction in each family member's share ;

(1 / 20) ÷ 4

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3 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago