Question

please solve these question with process

don't spam


1)when a fraction is divided by the difference of 1/2 and 1/6, we get 2/3. what is the fraction??

2)In a flower bouquet, 13/30 of the flowers are roses , 2/5 of the flowers are orchids and the remaining are Lotus.
If the number of Lotus flowers is 7 , how many flowers are there in the bouquet??

3) find the Value of X
$\frac{81 \times 3 {}^{2} {}^{x} }{3 {}^{3} } = 1$


please solve it as soon as possible

Answer 1

1. Difference of 1/2 and 1/6 = 3/6 - 1/6

                                    = 3-1/6

                                    = 2/6 (simplified to 1/3)

Let the fraction be x

Given, x divided by 1/3 = 2/3

To find x, we have to transpose 1/3 to RHS which then gives,

x = 1/3*2/3

x = 1*2/3*3

x = 2/9

Thus, the fraction is 2/9.

2. ans. is in picture

3. Given Equation is (81)^x = (9/3^x)

= > (3^4)^{x} = \frac{3^2}{3^x}=>(34)x=3x32​

= > 3^{4x} = 3^{2 - x}=>34x=32−x

= > 4x = 2 - x=>4x=2−x

= > 5x = 2=>5x=2



Hope this helps!