1/6p - 4/5
Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!
Our answer: 1/6p - 4/5
I hope that helps!
Answer:
x = 3
Step-by-step explanation:
To find the x-coordinate, substitute y = 8 into the equation abd solve for x
5x - 7 = 8 ( add 7 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Thus (3, 7) is a solution to the equation
Answer:
$49.18
Step-by-step explanation:
Dinner cost $38.95 before tax and tip are included.
Directions say to ADD 7% tip first so,
38.95 multiplied by 7%= 2.7265, Round up to $2.73
ADD $38.95 and $2.73 tax= $41.68
Now, multiply $41.68 by 18% to find the tip amount
$41.68 * 18%= 7.5024, Round to $7.50
ADD $41.68 and $7.50 to get answer: $49.18
Good evening
Answer:
<h2>x = 5 or x = -2</h2>
Step-by-step explanation:
Look at the photo below for the details.
:)
Answer:
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Step-by-step explanation:
