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.
Annual rate = 1.05%
Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.
Transpose to make r the subject
Prt * 100 = I
r = I/ Pt * 100
Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years
r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%
9514 1404 393
Answer:
3 feet per second
Step-by-step explanation:
If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.
(1/2)(6 ft/s) = 3 ft/s
The swimmer's average speed is 3 ft/s.
Answer:
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Step-by-step explanation:
