Answer:
Step-by-step explanation:
We start by adding to both sides, giving
, which after simplifying gives
.
We then add to both sides, giving
, which after simplifying gives
.
We can then divide both sides by , giving
, which after simplifying gives
, or
. So, x is 5.
Answer: 6.25
Step-by-step explanation:
Because corresponding sides of similar triangles are proportional,
Answer:
600
Step-by-step explanation:
Let's consider this question using algebra.
Imagine the number of bricks in the original pile is .
We are told that of the bricks are used for a project, meaning that
has been used, leaving us with
as our remainder.
Then, we are told that of the remainder are used to leave us with 50 bricks. This means that
of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that
of the remainder is equal to 50.
So, we know that the remainder is 150, and we also know that the remainder is . Let's now use these to form an equation.
Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.
So, there were 600 bricks in the original pile.
Answer:
Step-by-step explanation:
Based off the typical rules of integers, expressions like these can be simplified to look different but mean the same thing.
In this case, we subtracted a negative value from a positive value; by doing this, we actually added positive 4.
Based on the same principals, adding a negative number is equivalent to subtraction!
Any time you see equations similar to this, you want to cancel out the 2 negative signs to make it positive!
Please look at the attached file for more information :)
