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3 years ago

What expression is equivalent to 1/4 (x+24)

Mathematics

2 answers:

Stels [109]3 years ago

7 0

<h3>hello!
</h3>

Use the Distributive Property, which states the following:-

$\sf{a(b+c)=ab+ac}$

Where

we distribute a by multiplying it times b and c

a, b, and c can be either constants (numbers) or variables (letters)

Distribute:-

$\sf{\displaystyle\frac{1}{4}(x+24)}}$

Multiply the term before the parentheses by the terms inside the parentheses:-

$\sf{\displaystyle\frac{1}{4} x+6}}$

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

IrinaK [193]3 years ago

6 0

Hemos agotado las posibilidades de este tema. Por favor verifica la expresión ingresada o prueba con otro tema.
1
4
(
x
+
24
)

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3 years ago

The owner of a new restaurant wants to have seating for more than 75 people. There is currently a private chef’s table that seat

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Answer:

c) The required representation of the given situation is 4 m + 3 > 75

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Let us assume, the owner plans to have m tables.

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Also, the additional number of people seated ta chef's table = 3

So, Total seated people in the restaurant

= People seated at m tables + People seated at chef's table

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3 years ago

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3 years ago

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea

andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{23}{12} = 1.92$

b) standard deviation for this population

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences = 126.92

$\sigma = \sqrt{\frac{126.92}{12}} = 3.25$

c) median change score

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

$\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5$

d) change score that is 2.2 standard deviations below the mean.

$x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23$

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3 years ago

What expression is equivalent to 1/4 (x+24)​

What expression is equivalent to 1/4 (x+24)