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:

Step-by-step explanation:
We can add 9 to both sides of the equation to get
.
We can divide both sides of the equation by 21 to get
.
We take the square root of both sides of the equation to get
.
However, that isn't in the form we need.
We know that 
so the answer is really
and we're done!
Answer:
y = 6/7
Step-by-step explanation:
The equation given is:
-3 = 7(y - 9/7)
To solve this, we will expand the bracket and afterwards, collect like terms:
-3 = (7*y) - (9/7 * 7)
-3 = 7y - 9
Collecting numeric terms to the left hand side:
-3 + 9 = 7y
=> 6 = 7y
=> y = 6/7
That is the solution.
47
Step-by-step explanation:
it is a vertical angle
Answer:
a. 1/4
b. 150
Step-by-step explanation:
Firstly, we want to calculate the probability that the next value will be 4
The total number of rolls is;
17 + 24 + 23 + 10 + 16 + 30 = 120
The probability of having 4 will be;
10/120 = 1/12
b) Let us get the probability of rolling a six
That would
be 30/120 = 1/4
So out of 600 rolls, the number of time we will have a six will
be 1/4 * 600 = 150