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sesenic [268]
3 years ago
13

Which of the following are solutions to | x+31= 4x - 7? Check all that app

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer: x = 38/3

Step-by-step explanation:

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Combine like terms<br><br><br> -2/3p + 1/5 - 1 + 5/6p
Bezzdna [24]
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!
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3 years ago
Beth has a 75% discount coupon for an appliance store. She sees a new refrigerator that she wants to buy. After the 75% discount
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The original price was $233.33 .
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If the value of a changes in response to the value of b then b is the _____?
Alex17521 [72]
B is the independent variable, while y is the dependent variable.
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List two pairs of an alternate interior angle and write them as a congress statements​
Sliva [168]

Answer:

Step-by-step explanation:

1.  Angle 4 is congruent to angle 6

2.  Angle 3 is congruent to angle 5

6 0
3 years ago
A pizza is divided into 12 equal slice.
emmainna [20.7K]
Mushroom only: 4/12 and 1/3
Pepperoni only:6/12 and 2/4
Both mushroom and pepperoni: 2/12 and 1/6
6 0
3 years ago
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