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Alexandra [31]
4 years ago
8

Nathan read 2 books in 10 months. What was his rate of reading in books per month

Mathematics
1 answer:
Novay_Z [31]4 years ago
4 0
<h2>Answer:</h2><h2>The rate of reading a book per month = \frac{1}{5} = 20%</h2>

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = \frac{10}{2} = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = \frac{1}{5} = 20%

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How to find equation of line passing through the points (x,y)​
DochEvi [55]

First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.

Linear function has a form of,

y=mx+n

Then calculate the slope <em>m</em> using the coordinates of two points. Let say <em>A(x1, y1)</em> and <em>B(x2, y2)</em>,

m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}

Now pick a point either <em>A</em> or <em>B</em> and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point <em>A</em>.

y_1=mx_1+n

From here you solve the equation for n,

y_1=mx_1+n\Longrightarrow n=y_1-mx_1

So you have slope <em>m</em> and variable <em>n</em> therefore you can write down the equation of the line,

f(x)=m_{slope}x+n_{variable}

Hope this helps.

r3t40

3 0
3 years ago
Which of the following shows how to write 8,240 pennies as<br> dollars?
olasank [31]

Answer:

$ 82.40

Step-by-step explanation:

you divide

100 pennies in a dollar

8240/100=82.40

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3 years ago
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3 years ago
(10v^4 + 30v^3 + 2v^2) / 10v
Zina [86]

Given expression is

\frac{10v^4+30v^3+2v^2}{10v}

Now we need to simplify this expression. We can begin by factoring numerator and denominator if possible.

= \frac{2v^2(5v^2+15v+1)}{10v}

divide numerator and denominator both by 2v

= \frac{v(5v^2+15v+1)}{5}

= \frac{5v^3+15v^2+1v}{5}

Hence final answer is \frac{5v^3+15v^2+1v}{5}

Or you can also keep factored form

\frac{v(5v^2+15v+1)}{5}

3 0
4 years ago
During an election، 70% of the population voted. If 70,000 people cast their votes, what is the population of the town?​
slava [35]

Answer:

100,000

Step-by-step explanation:

70,000 people = 70% of the population.

Divide 70,000 by 70 to get the number of population per 1%:

70000 ÷ 70 = 1000

Therefore, 1000 people represent 1% of the population.

To calculate 100% of the population, multiply the number of people representing 1% by 100:

1000 x 100 = 100,000

Therefore, the population of the town = 100,000

3 0
3 years ago
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