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:
0.825 Miles
Step-by-step explanation:
2.75m x 0.3 = 0.825
Answer:
b ≈ 48.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin b = 
= 
, then
b = 
( ) ≈ 48.6° ( to 1 dec. place )
Answer:
8h=30
Lizbeth can not climb for 4.5 hours.
Step-by-step explanation:
If you plug in 4.5 for h you get
8(4.5)=30
36 does not equal 30
Therefore Lizbeth can't climb for 4.5 hours
Answer:
The answer to your question is Homogeneous mixture
Step-by-step explanation:
There are two kinds of mixtures
Homogeneous is the mixture in which all in parts are the same, we can not distinguish its components. Ex Mayonnaise
Heterogeneous is the mixture in which we can distinguish some or all of its components. Ex. Pizza
In this example, we can not distinguish the different components of coffee so it is a homogeneous mixture.
