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Ne4ueva [31]
3 years ago
11

3(x - 1) – 2(2x + 1) = 8(x - 1) What is the solution in a fraction

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

1/3

Step-by-step explanation:

3(x-1)-2(2x+1)=8(x-1)

3x-3-4x-2=8x-8

3x-4x-3-2=8x-8

-x-5=8x-8

-x-8x-5=-8

-9x-5=-8

-9x=-8+5

-9x=-3

9x=3

x=3/9

simplify

x=1/3

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Answer:

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Step-by-step explanation:

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2 years ago
Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
A merchant wants to establish the selling price of an item that costs him $4.50 with a 15% markup. What is his selling price?
OLga [1]

Answer:

the answer it $5.18

Step-by-step explanation:

$4.50 + ($4.50 x .15)

$4.50 + $0.68 = $5.18

4 0
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A company uses 3 trucks to deliver a total of T liters of cement. Each truck can transport x liters of cement per trip, and make
FromTheMoon [43]

Answer:

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Step-by-step explanation:

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3 years ago
A store that sells skis boys them from a manufacturer at a wholesale price of $57. The
Over [174]

Answer:

50 = 2

Step-by-step explanation:

which by definition equates to 68+1

3 0
3 years ago
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