This problem can be solved by the chicken rabbits method or you can just do simple algebra.
I.) Chicken and rabbits method
First assume all 110 coins are dimes and none are quarters.
We will have a total value of 11 dollars
Now for each dime we switch out for a quarter, we adds 15 cents to the total value.
18.50-11=7.50 dollars
There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.
This also meant that we need to switch out 50 dimes for 50 quarters.
So we have 50 quarters.
That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.
Let's say there are x dimes and y quarters.
Set up equation
x+y=110
10x+25y=1850
Now solve multiply first equation by 10
10x+10y=1100
subtract
15y=750
y=50
Now we set the numbers of quarters to y so the answer is 50 quarters.
I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.
Answer:
There is 3 out of 4 chance you will get one head.
You are not guaranteed to get a head
Step-by-step explanation:
Lets determine the sample space
HH HT TH TT
These are the 4 things that can happen when we flip to coins
We want at least one head
3 of the 4 choices have at least 1 head
P (at least one head) = 3/4
(r,theta) represents polar coordinate .
And in (r,theta), there is neither any restriction on r nor on theta. It means both r and theta can either be positive or negative .
For e.g. (2,30 degree), (2,-30 degree) both are correct .
So the given statement is true .
D = 900t
because if you want to simplify t (2 hours) into one then you divide 1800 by 2 and that gives you the constant of proportionality (slope) of 900. Using this information you can write the expression d = 900t.
