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Helga [31]
3 years ago
7

Marianne buys 16 bags of potting soil which come in 5/8 pound bags. This equals to 10 pounds of potting soil. Her father calls a

nd says he needs 13 pounds of potting soil, how many additional bags should Marianne buy ?
Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

5 bags

Step-by-step explanation:

Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags

The above provides 10pounds of potting soil already

Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil

We know that 1 bag contains 5/8 pounds of potting soil

x bags contain 3 pounds of potting soil

On cross multiplication we get

\frac{5x}{8}=3

x = \frac{24}{5}

since x is an integer x = 5 bags  

Note that an extra amount of soil will be remained unused

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What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

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 log (3x)  = 2.5 ;

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Rewrite as:  log₁₀ (3x) = 2.5 ;  

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Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

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    →  3x / 3 =  316.2277660168379332 / 3  ;

to get:

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    →  round to 2 (two) decimal places;

_____________________________________________

         →   " x = 105.41 " .

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 Hope this helps!

    Best wishes to you!

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