3950 is in between
is the answer
Answer:
1 7/8 quarts
Step-by-step explanation:
The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.
__
<h3>used</h3>
After using 1/2 of the broth for soup, the fraction remaining is ...
1 -1/2 = 1/2
The amount Yuan used for gravy is 1/4 of this, or ...
(1/4)(1/2) = 1/8 . . . of the original amount of broth
The total fraction Yuan used was ...
fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8
<h3>remaining</h3>
Then the fraction remaining is ...
fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.
The amount remaining is this fraction of the original amount:
(3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining
There are an infinite number of them.
Here are a few:
2.1
2.2
2.3
2.3000000001
2.30000000000000006
2.5
2.00009
.
.
etc.
How to find them:
You probably never heard this before, but I'll bet
you'll remember it from now on:
<em>ANY number that you can write down on paper completely, </em><em>using digits
and a decimal point if you need it but no symbols, is a rational number.</em>
If you can write it down completely without any 'comments', then it's rational.
An arithmetic sequence is a pattern of numbers that increase or decrease at a constant amount.
1. Make an equation.
Moving company #1: y = 17x + 840
Moving company #2: y = 22x + 760
2. Put the equations together and solve
17x + 840 = 22x + 760
-17x -17x
840 = 5x + 760
-760 -760
80 = 5x
5 5
16 = x
When a job is 16 hours they both charge the same thing.
