Answer:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
Step-by-step explanation:
if Ruth is x, esmerelda is 5x,
four years ago,
Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:
x+4+5x+4=22, x=7/3
so:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
7/63 can be simplified down to 1/9 because if you were to multiply 7 by 9 you would get 63? or an easier way to do it would be to divide 63 by 7
Answer:need graph
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
prime factorization of 30 is 2*3*5
prime factorization of 75 is 3*5*5
3*5 is common
Answer:
(-5, -30)
Step-by-step explanation:
We start with the equation:
y = 6x
y = -4x - 50
Since both of them are equal to y, we can substitute the 6x into y. So:
6x = -4x - 50
Now we can solve for x. Add 4x to both sides...
6x = -4x - 50
+4x +4x
10x = -50
Now, divide both sides by 10.
<u>10x</u> = <u>-50</u>
10 10
x = -5
So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.
y = 6(-5)
y = -30
And...
y = -4(-5) - 50
y = 20 - 50
y = -30
As you can see, both equations show that y = -30. To check our work, let's plug in the values.
-30 = 6(-5)
-30 = -30
Also:
-30 = -4(-5) - 50
-30 = -20 - 50
-30 = -30
So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!
