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Lunna [17]
3 years ago
13

What is the slope of the line represented by the equation

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

The slope is -3/4

Step-by-step explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2

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the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
3 years ago
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Answer:

Step-by-step explanation: you have to divide 112 by 14

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Hannah has a biased coin.
nasty-shy [4]

Answer:

60

Step-by-step explanation:

200 x 0.3 = 60

7 0
3 years ago
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