Answer:
Step-by-step explanation:
To find the number of inches, divide miles by 9.5.
__
a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in
__
b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in
_____
Comment on units conversion
I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.
The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.
__
Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".
map inches/ground miles = 1/9.5 = x/24
route inches/scale inches = route miles/scale miles = x/1 = 24/9.5
Answer:
343 cubic inches
Step-by-step explanation:
7 times 7 times 7 is 343
It's pretty simple! So it looks like you are learning proportions. You would cross multiply to achieve your answer.
First, let's do your first problem:
2 12
--- = ----
5 n
You would take 5 and multiply it by 12 and get 60! Then you would do the same with 2 times n, giving you 2n (because you do not know what n represents YET.)
Now you should have this:
60=2n OR 2n=60
We must isolate our variable, in order to do that, get rid of two! But how? You would do this by dividing 2n by 2. Yet in equations, when you do something to one side, you must do it to the other because they must be EQUAL! (hence the "equa-" in equation)
2n=60
--- ---
2 2 DIVIDE 2 into 60
----------
n= 30 Simplify!
Your final answer for the first question is n= 30!
<h3>
Answer: 1034.44 dollars</h3>
=====================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.0085/1)^(1*4)
A = 1034.43596172007
A = 1034.44
---------------------
Notes:
- P = 1000 is the deposit or principal
- r = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085
- n = 1 represents how many times per year we're compounding the money (ie annually)
- t = 4 = number of years
- The result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.
