Step-by-step explanation:
hope it helps.........
(03.02)
1 answer:
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Answer:
43 questions in total
Step-by-step explanation:
the original equation with the unknown (total number of questions on the test) will look like this
we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)
now you rearrange.
you need to move the 24 to get the total on it's own here's how you do it
what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write
got mum of Q's x 1= 80 x 24
now you convert % to decimal
replace
now you take the original and + the 19
therefore there are a total of 43 questions on the exam
We need to find the base x in the following equation:
First, lets convert 365 from base 7 to base 10. This is given by
where the upperindex denotes the position of eah number. This gives
that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
Now, we have all number in base 10. Then, our first equation can be written in base 10 as
For simplicity, we can omit the 10 and get
so, we can solve this equation for x. By combining similar terms. we have
and by moving 197 to the right hand side, we obtain
Finally, we get
Therefore, the solution is x=5