Why might you want to use the comunitive property to change the order of the integers in the followng sum before adding?

What is the volume of this square pyramid?

vfiekz [6]

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4 0

3 years ago

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Mustafa, Heloise, and Gia have written more than a combined total of 222222 articles for the school newspaper. Heloise has writt

baherus [9]

Answer:

The Inequality For determining number of equation written by Mustafa for school paper is $x+\frac{1}{4}x+ \frac{3}{2}x\geq 22$ .

Mustafa has written more than 8 articles.

Step-by-step explanation:

Given:

Combined Total Number of articles = 22

Let the number of articles written by Mustafa be 'x'.

Now Given:

Heloise has written $\frac{1}{4}$ as many articles as Mustafa has.

Number of article written by Heloise = $\frac{1}{4}x$

Gia has written $\frac{3}{2}$ as many articles as Mustafa has.

Number of article written by Gia = $\frac{3}{2}x$

Now we know that;

The sum of number of articles written by Mustafa and Number of article written by Heloise and Number of article written by Gia is greater than or equal to Combined Total Number of articles.

framing in equation form we get;

$x+\frac{1}{4}x+ \frac{3}{2}x\geq 22$

Hence the Inequality For determining number of equation written by Mustafa for school paper is $x+\frac{1}{4}x+ \frac{3}{2}x\geq 22$ .

Now Solving the Inequality we get;

Taking LCM for making the denominator common we get:

$\frac{x\times 4}{4}+\frac{1\times1}{4\times1}x+ \frac{3\times2}{2\times2}x\geq 22\\\\\frac{4x}{4}+ \frac{x}{4}+\frac{6x}{4}\geq 22\\\\\frac{4x+x+6x}{4} \geq 22\\\\11x\geq 22\times4\\\\11x\geq 88\\\\x\geq \frac{88}{11} \\\\x\geq 8$

Hence Mustafa has written more than 8 articles.

5 0

3 years ago

A high school student hires a trainer to help him get ready for football season. The trainer charges $100 plus $75 an hour for e

Naddika [18.5K]

Answer: i think 4 hours

Step-by-step explanation:

8 0

3 years ago

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Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.

avanturin [10]

Answer:

independent variable = number of laps;

dependent variable = number of dollars

Step-by-step explanation:

If we were to put this information into a slope-intercept form equation, the equation would be: y = 5x (dollars raised = 5 dollars per lap walked). In this case, we are going to use the variables l and d instead of x and y, respectively. The equation instead of being y = 5x, it is going to be d = 5l. In the slope-intercept form X will always be the independent variable and y the dependent variable, because the number we get for Y totally depends on what you plugged in for X. In this equation, l is the independent variable (the number of laps she walks) and d is the dependent variable (number of dollars).

6 0

3 years ago

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Solve for x <br><br><br> ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

dezoksy [38]

Answer:

8

Step-by-step explanation:

Your equation would be 8x - 4 = 60.

So,

8x - 4 = 60

+ 4 + 4

8x = 64

/8 /8

x = 8

4 0

2 years ago