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3 years ago

3(3 - 8x) - 1 = -6x - 28

Mathematics

2 answers:

Wewaii [24]3 years ago

6 0

Answer:

x=2

Step-by-step explanation:

3(3 - 8x) - 1 = -6x - 28

Distribute

9 -24x -1 = -6x -28

Combine like terms

8 -24x = -6x -28

Add 24x to each side

8-24x+24x = -6x-28+24x

8 = 18x-28

Add 28 to each side

8+28 = 18x-28+28

36 = 18x

Divide each side by 18

36/18 = 18x/18

2 =x

Llana [10]3 years ago

5 0

Answer:

Step-by-step explanation:

3(3-8x)-1=-6x - 28

(3×3)-(3×8x)-1=-6x -28

6-3×8x-1=-6x -28

6-3-1×8x=-6x -28

2×8x=-6x -28

+6x +6x

2×8x+6x=-28

2×14x=-28

-2 -2

14x=-28 -2

14x=-30

÷14 ÷14

x=-30÷14

x=-2.15

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One card is selected at random from a deck of card. Determine the probability that the card selected is not a 4

Ganezh [65]

Answer:

12/13

Step-by-step explanation:

A probability is the number of desired outcomes over the total number of outcomes.

Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.

First, find the number of desired outcomes, and put it over the total number of outcomes.

Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:

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simplify:

48/52

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3 years ago

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Roman55 [17]

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2 years ago

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

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Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

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Step 3: Multiply the slopes :-

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Multiply ,

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Multiply both sides by a ,

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Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

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