X represents nickels
y represents dimes
x+y=29
5x+10y=210
multiply the first equation by -5 (elimination method)
-5x-5y=-145
then add the two equations together
5y=65
divide 5 from both sides
y=13
13 dimes
Answer:
6.25 minutes or 375 seconds
Step-by-step explanation:
We can solve the following problem through the Proportion method.
Here,
we may take the time taken by the machine as x

54/-2 = -27
First, let's rewrite:
Let x represent the unknown number:



Hence, 54/-2 = -27
52 is your answer
Hope this helps
There would be 2034 students competing in 2012.
We can write a simple equation to find this answer. Let X, be the number of students starting in 2012. Then, we multiply by 0.9 and 1.1 to get to 2014. To work backwards, just divide by 1.1, then by 0.9.
2014 / 1.1 / 0.9 = 2034