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Andrej [43]
3 years ago
15

The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?

Mathematics
2 answers:
sergeinik [125]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:    -3/2


Discussion:  Assuming neither line is vertical or horizontal the product of the slopes of two perpendicular  lines is always -1.  We are told the slope of a line is 2/3. The slope of the perpendicular line, "m", is


m * (2/3) = -1

or

m= -3/2

Thank you,

MrB

Hitman42 [59]3 years ago
5 0

Answer:

-3/2

Step-by-step explanation:

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3 1/3 + (-2 1/4) + 1 5/6=
trasher [3.6K]

Answer:

2\dfrac{11}{12}

Step-by-step explanation:

The first step is to ensure that all of the fractions have a common denominator.

3\dfrac{1}{3}+\left( -2\dfrac{1}{4} \right) + 1\dfrac{5}{6}= \\\\3\dfrac{4}{12} - 2\dfrac{3}{12} +1 \dfrac{10}{12}= \\\\1\dfrac{1}{12}+1\dfrac{10}{12}= \\\\\boxed{2\dfrac{11}{12}}

Hope this helps!

6 0
3 years ago
Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
3 years ago
Which of the following would be considered a monomial? Select all that apply
Vaselesa [24]

Answer:

A and B

Step-by-step explanation:

Since these both only have one term and number/variable, making it a monomial.

4 0
2 years ago
Jada's sister works in a furniture store.
Bingel [31]

Answer:

1) $16.35

2) 75%

3) $245  

Step-by-step explanation:

1) Jada earns = $15 per hour

  9% increase = 15 * 9/100 = $1.35

  Increased Jada's pay = 15+1.35 = $16.35

2) Markup = selling price - cost= $350 - 200= $150

   Markup % = \frac{sale price - cost }{cost}*100 \

                      = \frac{150}{200}*100 = 75%

3) Jada's sister commission is 3.5% of $7000

          = \frac{3.5}{100}* 7000

           = $245  

5 0
2 years ago
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