y/x = 3/1 Triangle 1 is similar to triangle 3
y = 3 x Multiply each side by x
Answer:
The sum of (−3x−4y) and (x+3y) in simplest terms will be:
Step-by-step explanation:
Given
Finding the sum of (−3x−4y) and (x+3y)
Therefore, the sum of (−3x−4y) and (x+3y) in simplest terms will be:
Answer:
x = -1
Step-by-step explanation:
first you "remove the parentheses" by multiplying the number on the outside of them to everything on the inside. for instance, -2 x 2x = -4x and -2 x -6 = 12 (because whenever you multiply two negatives, it turns into a positive) then, when there is a minus sign in front of parentheses, you change the sign of everything within the parenthesis leaving you with a positive 5 and a negative 3x. so now you have a much simpler equation of -4x + 12 = 8 +5 -3x
next you want to of course add the 5 and the 8 to make it even more simple which would leave you with the equation:
-4x + 12 = 13 - 3x
The next thing you need to do is get the unknown variable on one side of the equation. So you do add 4x do get the x on the right side which would leave you with 12 = 13 - 3x + 4x
So now you can do the same thing to the 13 to try to get it on the left by subtracting 13 from both sides
12 - 13 = -3x + 4x
now you make the equation simple by "combining the like terms" (which is something you'll hear a lot in algebra class)
making you equation -1 = 1x
or just -1 = x because when you multiply something by 1, it's the same.
The answer is d + 0.25(d - 22) = 10.75
d - the amount of dollar coins
q - the amount of quarters
It is given: d + q = 22
The quarter is $0.25, therefore:
d + 0.25q = 10.75
Now, we have the system of equations:
d + q = 22
d + 0.25q = 10.75
According to the first equation:
d + q = 22 <span>⇒ q = 22 - d</span>
We will replace q in the second equation:
d + 0.25q = 10.75 ⇒ d + 0.25(22 - d) = 10.75
Phillip would use 31 markers because you would divide 496 by 16 to see how many markers he would place. Your final answer would be 31 markers. Hope this helps you!
