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kompoz [17]
4 years ago
12

Solve for x. Show your work. -1⁄2 x < -12

Mathematics
2 answers:
Semmy [17]4 years ago
7 0

Answer:

−1 /2 x<−12

Step 1: Multiply both sides by 2/(-1).

( 2 /−1 )*( −1 /2 x)<( 2 /−1 )*(−12)

x>24

Answer:

x>24

Step-by-step explanation:

Ulleksa [173]4 years ago
3 0

Answer:

x > 24

Step-by-step explanation:

-½ x < -12

Switch sides

12 < ½x

Multiply both sides by 2

24 < x

Or,

x > 24

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Answer:

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Step-by-step explanation:

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3 years ago
Carly purchased 9.5 pints of ice cream for a party. If each guest will be served exactly 3/5 pints of ice cream, what is the gre
aivan3 [116]

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15.8333333333

Step-by-step explanation:

9.5 divied by 3.5

3 0
3 years ago
Read 2 more answers
M: 4,y-intercept: -3
goldenfox [79]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode
Ede4ka [16]

Answer:

Mean: 15

Median:  15

Mode:  15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

  • If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.
  • If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15  ⇒  9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}

Therefore, the median is 15.

<h3><u /></h3><h3><u>Find the Mode:</u></h3>

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

6 0
3 years ago
Which of the following statements is true?
Semmy [17]

Answer:

Option B

Step-by-step explanation:

we know that

A <u>rational number</u> is one that can be represented as the ratio of two whole numbers

so

\frac{\sqrt{5}}{8} -----> Is not a rational number, because √5 is not a whole number, is a irrational number

\frac{\sqrt{4}}{9}=\frac{2}{9} ---> Is a rational number, because can be represented as the ratio of two whole numbers

therefore

√5/8 is irrational and √4/9 is rational

7 0
4 years ago
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