The first one is 3:6, or 1:2 in simplest form. There are three hammers for every six screw drivers.
The second one is 2:8, or 1:4. I am not sure if they want you to actually count each banana, but if so, that would be the answer. For every 2 apples, there are 8 bananas. If you are not supposed to count the bananas, it would be 2:2, or 1:1.
The third one is 15:100, or 3:20 in simplest form. For every 15 sixth grade teachers, there are 100 sixth grade students.
Hope this helps!!! :)))
Answer: 108
Step-by-step explanation:
Given that the ratio of men to women is 5:4.
Let x be the total employees then,
Men = x*5/9
135 = x*5/9
x = 135*9/5
The total employees are 243
Women are 243 - 135 = 108
The circumference will be 18.683
$\implies 2^{2x}-2\cdot5^{2x}-(2^x)(5^x)>0$
let $2^x=a$ and $5^x=b$
So, $a^2-2b^2-ab>0$
divide by $b^2$, ($b^2>0$)
$\implies \left(\frac ab\right)^2-\left(\frac ab\right) -2>0$
this is a quadratic, in $\left(\frac ab\right)$, let it be $x$
So, $x^2-x-2>0$
Can you simplify it now?
