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2 years ago

|x| = x Always SometimesNever

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

7 0

Answer:

Sometimes

Step-by-step explanation:

Lets see

Let x be a positive number

x=3

|3| = 3

True

Let x =0

|0| = 0

True

Let x be a negative number

x=-3

|-3| =-3

3 = -3

False

So this is sometimes true

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The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x +

prisoha [69]

Let

x------> the first even integer

x+2---->the second even integer

x+3---->the third even integer

we know that

$x+(x+2)+(x+4)=36$ -----> equation that represent the situation

solve for x

Combine like terms in the left side

$(x+x+x)+(2+4)=36$

$3x+6=36$

therefore

<u>the answer is the option B</u>

$3x+6=36$

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3 years ago

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Lera25 [3.4K]

Answer:
A
Step-by-step explanation:

How to find the coordinates is by going to the right and going up of where the point is

Hope this helps :)

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2 years ago

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What are the next three terms of the following geometric sequence: 32, 48, 72...

lara [203]

108

,162

Step-by-step explanation:

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2 years ago

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The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

2 years ago

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The tennis club where you play tennis charges $50.00 per month and $10.00 per hour of court time. If your current month's bill i

anyanavicka [17]

Answer:

Option B. 5 hours

Step-by-step explanation:

The tennis club charges monthly fees = $50.00

and per hour charges of court time = $10.00

Lets assume you play number of hours in a month = x hr

So, per hour charges would be = $10x

Total payment = monthly charges + charges of played hours

$100.00 = $50.00 + 10x

10x = 100 - 50

10x = 50

x = 5

Option B. You used 5 hours court time.

7 0

2 years ago

|x| = x Always SometimesNever​

|x| = x Always SometimesNever