So, the given information tells us that the ratios between ella's rock music to total cds and paolo's rock music to total cds is the same. This means that we can set them up in a proportion equal to each other. (Let x represent the amount of total cds in paolo's collection)
25/40=59/x
Next, to simplify this equation, we need to use cross-products to cancel out the fraction bars.
25 59
=
40 x
If done correctly, the resulting equation is 20*x=59*40
When simplified, the resulting equation is 20x=2360
Finally, we need to divide both sides by 20, in order to find out what integer represents x in this equation.
x=118
This means that Paolo has a total of 118 cds in his collection.
The question asks how many CDs Paolo and Ella own together. To figure this out, all you need to do is add how many CDs Ella has (40) to how many CDs Paolo has (118).
40+118=158.
Paolo and Ella's combined collection of total CDs is 158 CDS.
Answer:
x = -1, y = -4
Step-by-step explanation:
Let's solve our system of equations by substitution.
y = 5x + 9y = −x + 3
Step: Solve = 5x + 9 for y:
y = 5x + 9
Step: Substitute 5x + 9 for y in y = −x + 3:
y = −x + 3
5x + 9 = −x + 3
5x + 9 + x = −x + 3 + x (Add x to both sides)
6x + 9 = 3
6x + 9 + −9 = 3 + −9 (Add -9 to both sides)
6x = −6
6x/ 6 = −6/6(Divide both sides by 6)
x = −1
Step: Substitute −1 for x in y = 5x + 9:
y = 5x + 9
y = (5)(−1) + 9
y = 4(Simplify both sides of the equation)
So our answers are y = -4 and x = -1.
Answer:
So we have this equation:
2 (3x-2) - 4x = 5x + 2
You can first operate the parenthesis, knowing that a(b+c) = ab + ac (conmutative)
2(3x-2) - 4x = 5x + 2
2 * 3x - 2 * 2 - 4x = 5x + 2
6x - 4 -4x = 5x + 2
Now, we can operate the x:
6x - 4 -4x = 5x + 2
2x - 4 = 5x + 2
And sum 4 in both sides and substract 5x in both too.
2x - 4 = 5x +2
2x - 4 + 4 - 5x' = 5x + 2 + 4 -5x
Now we can operate:
-3x = 6
And we can divide by -3 the two sides...
x = 6/-3 = -2
The solution for the #23 equation is either x=9 or x= -3
It is a scalene triangle as all the sides are unequal in length.
