X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
61,361 rounded to the nearest hundred = 61,400
Answer:
$1.60 per paper
Step-by-step explanation:
$1600/ 1000= $1.60 per paper
The value of the integral 3ydx+2xdy using Green's theorem be - xy
The value of 
be -xy
<h3>What is Green's theorem?</h3>
Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.
If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then
= 
Using green's theorem, we have
= ............................... (1)
Here 
= differentiation of function N w.r.t. x
= differentiation of function M w.r.t. y
Given function is: 3ydx + 2xdy
On comparing with equation (1), we get
M = 3y, N = 2x
Now, = 
= 
= 2
and, = 
= 
= 3
Now using Green's theorem
= 
= 
= 
=
The value of be -xy.
Learn more about Green's theorem here:
brainly.com/question/14125421
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