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3 years ago

A line passes through the point (10,5) and has a slope of 3/2. Write and equation in slope intercept form

1 answer:

8 0

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 10}}\quad ,&{{ 5}})\quad 
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{3}{2}(x-10)\implies y-5=\cfrac{3}{2}x-15
\\\\\\
y=\cfrac{3}{2}x-15+5\implies y=\cfrac{3}{2}x-10$

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If f(x) = 3x -11 , find -4f (-3)

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Answer:

Step-by-step explanation:

-4f(x)=-12x+44

-4f(-3)=36+44=80

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2 years ago

Have to find volume and surface area but idk how

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Answer:

volume 1050 $in^{3}$

surface area 859 $in^{2}$

Step-by-step explanation:

volume is length times width times height (7*25*12)/2

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2(25*12)+(12*7)+ 2( $\frac{7*25}{2}$ )

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3 years ago

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Research indicates that the leading brand of laundry detergent accounted for 35% of the 400,000 total sales in the marketplace.

Lesechka [4]

Answer:

140,000

Step-by-step explanation:

Take 400,000 * 0.35 = 140,000.

When given a percentage, take the number and divide by 100.

In this case 35 / 100 = 0.35.

Then you can take the total amount and multiply it by the percentage in decimal form.

In this case 400,000 * 0.35

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2 years ago

Normal six-sided dice have a different number of pips on each face, from 1 to 6. You roll two such dice and add the result.

NARA [144]

Answer:

1) 16.7% probability of rolling 10+.

2) 50% probability an odd number is rolled.

3) 7 is the most likely total result.

Step-by-step explanation:

These are all the possible outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes

1) what is the probability of rolling 10+?

There are 6 possible outcomes in which 10+ is rolled:

(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).

So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

2) what is the probability of rolling an odd number?

There are 18 possible outcomes in which an odd number is rolled.

So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

3) what is the total that is most likely to result?

There are 6 outcomes in which 7 is rolled.

So 7 is the most likely total result.

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3 years ago

White and black shapes are used in a game Some of the shapes are circles All the other shapes are squares The ratio of white to

PIT_PIT [208]

Answer:

The fraction of all shapes which are square in shape is $\frac{23}{32}$ .

Step-by-step explanation:

Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.

The ratio of white to black shapes are 5:11.

Consider 5x= the number of shapes which are white in color.

11x= The number of shapes which are black in color.

There are (5x+11x)= 16x shapes in the game.

The white circle and white square are in the ratio 3:7.

The number of white square is

$=(\textrm{The number of white shape})\times (\frac{7}{3+7})$

$=(5x)\times (\frac{7}{10})$

$=\frac{7x}{2}$

The black circles and black square are in the ratio 3:8

The number of black square is

$=(\textrm{The number of black shape})\times (\frac{8}{3+8})$

$=(11x)\times (\frac{8}{11})$

=8x

Therefore the total number of shape which are square is

$=\frac{7x}{2}+8x$

$=\frac{7x+16x}{2}$

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

The fraction of all shape are square is

$=\frac{\textrm{shape in square}}{\textrm{Total number shape}}$

$=\frac{\frac{23x}{2}}{16x}$

$=\frac{23}{32}$

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3 years ago