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Olin [163]
3 years ago
7

What is 5 4/9 + 2 15/36 as a whole or mixed number??

Mathematics
1 answer:
pshichka [43]3 years ago
8 0
You have to add the whole numbers, which is 5 + 2 = 7.  Then you add the fractions.  In order to do that, you have to convert 4/9 to X/36 so 15/36 and 4/9 have the same denominator.  In this case, 9 is a factor of 36, so you can multiply 4/9 by 4/4 (which is like multiplying by one).  The result is 16/36.  Now add the numerators 15 + 16 = 31.  Denominator remains 36 because you do not change it when you add fractions.

The result therefore is 7 and 31/36.
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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




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5 0
3 years ago
Read 2 more answers
How to find sample standard deviation from population standard deviation.
denis23 [38]

Answer:

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Step-by-step explanation:

6 0
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In a New York Times/CBS News Poll, respondents were asked if it should be legal or illegal to send a text message while driving.
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Answer: \dfrac2{201}

Step-by-step explanation:

Number of persons said it is legal to text while driving = 8

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Total persons sampled = 804+8 = 812

Since probability =\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}

The probability of randomly selecting someone who believes it should be legal to text while driving = \dfrac{8}{804}=\dfrac2{201}

Required probability = \dfrac2{201}

7 0
3 years ago
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Yuliya22 [10]

Answer:

2 385/3913

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Step-by-step explanation:

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3 years ago
EASY MATH PLEASE HELP!<br><br> I WILL GIVE BRAINLIEST!<br><br> QUESTION: Find the area.
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Answer:

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