The solution of given problem 1.5 [ 3( 14.5 +7 ) -3 ] - 7.4 is 84.85
<em><u>Solution:</u></em>
Given problem is:
1.5 [ 3( 14.5 +7 ) -3 ] - 7.4
We have to use BODMAS rule to solve the problem
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Thus in the given problem, first we have to solve for brackets
Add 14.5 and 7 inside the brackets
![\rightarrow 1.5 [ 3( 14.5 +7 ) -3 ] - 7.4\\\\\rightarrow 1.5 [ 3(21.5) - 3 ] - 7.4](https://tex.z-dn.net/?f=%5Crightarrow%201.5%20%5B%203%28%2014.5%20%2B7%20%29%20-3%20%5D%20-%207.4%5C%5C%5C%5C%5Crightarrow%201.5%20%5B%203%2821.5%29%20-%203%20%5D%20-%207.4)
Multiply 3 with 21.5
![\rightarrow 1.5[64.5-3] - 7.4](https://tex.z-dn.net/?f=%5Crightarrow%201.5%5B64.5-3%5D%20-%207.4)
Now again solve for brackets by subtracting 3 from 64.5

Now perform multiplication of 1.5 and 61.5

Now perform subtraction

Thus the solution of given problem is 84.85
If a quadratic equation has solutions, the standard procedure will always work: given an equation like

The solutions (if any) are given by

In your case, you have
So the formula becomes

Anyway, this is quite a special case, because you're missing the linear term (since
)
This means that you can solve equations like these more easily: rearrange the equation to make it look like
. In your case, it becomes

Divide both sides by 9:

Now, you know that the square of a number equals 1/9. By definition, it means that this number is the square root of 1/9. Nevertheless, both the square root and its opposite are solutions of the equation, because the minus sign will cancel out when squaring.
So, in general, you have

which of course makes sense, if you're using real numbers, only if c/a>0.
In your case, this becomes

Answer:
3960 feet per minute
Step-by-step explanation:
multiply the speed value (45) by 88
<u>Answers </u>
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
<u>Explanation</u>
To convert the a repeating decimals this are the steps;
Part 1
Let x = 0.222222... (i)
10x = 2.222222... (ii)
Subtract equation (i) from equation(ii)
10x = 2.222222....
<u> -x = 0.222222....</u>
9x = 2.00000..
∴ 9x = 2
Divide by 9 both sides;
x = 2/9
Part 2
Let x = 0.5555...
10x = 5.5555...
subtract equation (i) from equation (ii).
10x = 5.5555..
<u> - x = 0.5555..</u>
9x = 5.0000..
∴ 9x = 5
x = 5/9
Part 3
Let x = 0.7777....
10x = 7.7777...
Subtracting equation (i) from equation (ii)
10x = 7.7777...
<u> -x = 0.7777...</u>
9x = 7.000..
∴ 9x = 7
x = 7/9
Pattern noted
When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.