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inna [77]
3 years ago
10

The sum of two-thirds of a number and one-fourth of the number exceeds five-sixths of that number by two. . . Which equation cou

ld be used to determine the number?. A) 2/3 +1/4 n = 5/6n + 2. B) 2/3n + 1/4 = 5/6n + 2. C) 2/3n + 1/4n = 5/6n + 2
Mathematics
2 answers:
weqwewe [10]3 years ago
6 0

<u><em>Answer:</em></u>

C) \frac{2}{3} n + \frac{1}{4} n = \frac{5}{6} n + 2


<u><em>Explanation:</em></u>

Assume that the number is n


<u>For the left hand side:</u>

Two thirds of the number is \frac{2}{3} n

one fourth of the number is \frac{1}{4} n

The sum means that we will add them

<u>Therefore, the left hand-side is:</u>

\frac{2}{3} n + \frac{1}{4} n


<u>For the right hand side:</u>

five sixth of the number is \frac{5}{6} n

two is 2

exceeds means that we will add

<u>Therefore,the right-hand side is:</u>

\frac{5}{6} n + 2


<u>Combining the two sides, we will get the expression:</u>

\frac{2}{3} n + \frac{1}{4} n = \frac{5}{6} n + 2


Hope this helps :)

olga nikolaevna [1]3 years ago
3 0
Answer: 
C ) 2/3 n + 1/4 n = 5/6 n + 2
Thank you.
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Answer:

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<u>Algebra I</u>

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3 years ago
-6+3k-8k+2 simplify the expressions
HACTEHA [7]

-6+3k-8k+2

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3 years ago
Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12<br><br> x = []
kykrilka [37]

The solution of the equation is x = -4/3.

<h3>What does it mean to solve an equation?</h3>

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

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x = -4

Case 2: Opposite equation

|x - 4| = 5x + 12

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Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;

Check:

|x - 4| = 5x + 12

use x = -4

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8 = -8              

Thus, it is Not a solution

Now,  |x - 4| = 5x + 12

use x =  -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the  Solution.

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