Answer:
1 : 4
Step-by-step explanation:
Let x represent the amount of 30% solution for 1 unit of 5% solution. Then the amount of acid in the mix is ...
0.30x + 0.05·1 = 0.10·(x +1)
0.30x + 0.05 = 0.10x + 0.10 . . . . eliminate parentheses
0.20x = 0.05 . . . . . . . . . . . . . . . . subtract 0.05+0.10x
x = 0.05/0.20 = 1/4
That is, the ratio x : 1 is 1 : 4.
#1: 214 tickets split 9 ways does not work out to an integer number. Nobody wants 2/3 of a ticket, right?
So the trick here is to determine the first multiple of 9 greater than 214.
Note that 214/9 = 23.8. No good. Not an integer.
Multiply 23 by 9; we get 207. Multiply 24 by 9; we get 216.
So, given that we have 214 tickets already, we need 2 more, to make 216.
Check: Is 216 divisible by 9 without a remainder? Yes. Then each of the 9 students will get 24 tickets.
The rest of the problems are somewhat similar to this one.
See whether you can do the next one, #2.
If you'd share your results, I'd be happy to comment on what you've done.
Answer:
x = 5
Step-by-step explanation:
9/15 = 3/x
x = 5
Answer:
A. 7
Step-by-step explanation:
Since the triangle sides are not defined, therefore let the base side have the 12 unit and one of the slant side be 7 unit.
Therefore height of the triangle, h can gotten from the Pythagoras theorem as thus:
7² = (12/2)² + h²
49 = 36 + h²
h² = 49 - 36 = 13
h = √13
knowing the height of the triangle, we can apply same rule to the other unknown slant side, x as thus:
x² = (12/2)² + h²
x² = 36 + 13 = 49
x = √49
x = 7
