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Lubov Fominskaja [6]
3 years ago
6

If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei

r entire backyard?

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is A=\frac{(a+b)*h}{2}

a and b are the lenghts of the parallel sides and h is the height.

From the picture a=10*5=50\\b=9*5=45\\h=8*5=40

Then we plug into our formula

A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200 square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

\frac{1900}{225} =8.444... bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

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Find the common fraction equivalent to 0.12
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The answer is:  " \frac{4}{33} "  .
______________________________
Given:  0.1212121212..... repeating ;  write that value as a fraction;
______________________________________________________
In other words; we are given:  "0.1212121212..... repeating infinitely" ;  

→ that is to say; "0.12 ...  ;  {the "12" decimal portion repeats infinitely} ; 
_______________________________________________________
→ We write this value, as a fraction, as:  "12/99" ;
__________________________________________
→Explanation:
__________________________________________ 


Note:  "0.99999999...... repeating infinitely;  =  "1" .
_________________________________________
→Since:

Let us say that we have: 

"x = 0.999999 ; repeating infinitely;  

In order words, let us say we have: "x = 0.9.... ;  the "9" decimal repeats infinitely; 
_____________________________________________________
   Then "10x" ;  (that is: "10" multlipled by "x";  or "10*x" or "10x" );  is equal to:

"10" * (0.999999.....)  = 9.99999999...... (the "9" decimal repeats infinitely);

in other words:  10x = 9.99999999....

Divide each side by "10" ;

to get "x = 0.9999999....." ; the decimal "9" repeats indefinitely...." ;

But if you have:  "10x = 10" ;  divide each side of the equation by "10" ; 
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____________________
Also,  if "x = 0.9999...(repeating infinitely); 

then:  10x = 9.99999.
_______________________________________________
           10x  =  9.999999999999999......
       −     x  =  0.999999999999999.......
    _____________________________________
            9x  =  9.00000000000000000000.....

 →  9x = 9 ; 

Divide each side of the equation; to get; 

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__________________________________________________
So, if the numbers "12" is repeating, we divie "12" by "99" ; 
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________________________________________
            So;  0.12121212.....(the "12" is the decimal that repeats infinitely);            
                   
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The answer is:  \frac{4}{33}  .
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