In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace. It transforms a function of a real variable t to a function of a complex variable s.
Let's first turn all the words into numbers:
Two and four tenths = 2.4
One and six tenths = 1.6
Four and one tenth = 4.1
Now lets represent "a number" as x.
Then translate the wording into a linear equation:
Simplify and isolate the variable:
Divide by 0.8
x>1.375 or x>1 3/8
Ok so lets say D= Dog And C=Cat
D+C = 54
D = 8C
<span>
Now, substitute 8C for D in the first equation to get: </span>
<span>8C + C = 54 </span>
<span>Solving for the cat gives us C = 6 </span>
<span>D = 8 x 6 = 48
</span>Dog Weighs 48 Pounds
The problem given can be solve using one variable. so let x be the total vote
x = x(5/8) + 5/9(x - x(5/8)) + 48
so solve for x
x - x(5/8) - 5/9(x - x(5/8)) = 48
x - x(5/8) - x(5/9) + x(25/72) = 48
x(1/6) = 48
x = 48*6
x = 288
blue votes = 288(5/8) = 180
red votes = 5/9(288 - 180) = 60
students riverside = 288 + 25 = 313
