Every _____ tessellates
1 answer:
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With this, you need side A to equal side B. Your first step is to move the variable to one side. (I've also worked in out, and color coordinated the steps, so you can see better).
11 + 4b = 8b - 13 < let's subtract "4b" from the left side to get rid of it (we're subtracting because it is added on to left side). This will give us:
11 = 8b - 13 < we've subtracted "4b" from the left side, however what you do to one side of the equal sign, you must do to the other, so subtract "4b" from the right side as well. Once done, you should have this"
11 = 4b - 13 < we have "4b-13" because you can only work with like terms. 8b-4b=4b, and the 13 stays untouched.
Now let's work on isolating the variable. See how we have a -13 on the side with the variable? We don't want that, so we're going to add 13 to that side, to give us 0 and cancel it out. Remember, what you do to one side, you must do to the other, so add 13 to the 11 on the other side as well. This will give you 24, and your equation should now look like this:
24 = 4b < we're almost done, but the variable is not quite by itself yet. We need to get rid of the "4" in "4b". 4 in being multiplied to "b" so we need to do the opposite operation to cancel it out. We need that 4 to be a 1 because 1x=x. So, divide 4b by 4 to get 1b or just plain b.
Remember, what you do to one side, you must do to the other, so divide 24 by 4 to get 6, and you're left with your answer.
Answer 6 = b
Hope this helps!
11 + 4b = 8b - 13 < let's subtract "4b" from the left side to get rid of it (we're subtracting because it is added on to left side). This will give us:
11 = 8b - 13 < we've subtracted "4b" from the left side, however what you do to one side of the equal sign, you must do to the other, so subtract "4b" from the right side as well. Once done, you should have this"
11 = 4b - 13 < we have "4b-13" because you can only work with like terms. 8b-4b=4b, and the 13 stays untouched.
Now let's work on isolating the variable. See how we have a -13 on the side with the variable? We don't want that, so we're going to add 13 to that side, to give us 0 and cancel it out. Remember, what you do to one side, you must do to the other, so add 13 to the 11 on the other side as well. This will give you 24, and your equation should now look like this:
24 = 4b < we're almost done, but the variable is not quite by itself yet. We need to get rid of the "4" in "4b". 4 in being multiplied to "b" so we need to do the opposite operation to cancel it out. We need that 4 to be a 1 because 1x=x. So, divide 4b by 4 to get 1b or just plain b.
Remember, what you do to one side, you must do to the other, so divide 24 by 4 to get 6, and you're left with your answer.
Answer 6 = b
Hope this helps!
Option B: is the correct answer.
Explanation:
The given expression is
Simplifying the expression, we have,
Factor the equations, and
,we get,
Substituting these factored expressions in the above expression, we have,
Cancelling the common terms and
, we get,
Thus, the expression equivalent to is
Hence, Option B is the correct answer.
I think that equation is supposed to look like this:
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:
and
so the amount of candy left after 5 minutes is 16.384 or 16
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:
and
so the amount of candy left after 5 minutes is 16.384 or 16