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Shkiper50 [21]
3 years ago
12

Please help solve the for x. I'm offering 20 points

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

1/-21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17

4

x+

−1

12

=6x

Step 2: Subtract 6x from both sides.

17

4

x+

−1

12

−6x=6x−6x

−7

4

x+

−1

12

=0

Step 3: Add 1/12 to both sides.

−7

4

x+

−1

12

+

1

12

=0+

1

12

−7

4

x=

1

12

Step 4: Multiply both sides by 4/(-7).

(

4

−7

)*(

−7

4

x)=(

4

−7

)*(

1

12

)

x=

−1

21

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The point (-6, 4) is reflected over the x-axis.<br> What is the new point?
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Step-by-step explanation:

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In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were fou
jarptica [38.1K]

Answer:

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Step-by-step explanation:

Let wining name have, x votes

1st = x

2nd = x - 53

3rd = x - 79

4th = x - 105

x + (x - 53) + (x - 79) + (x - 105) = 963

x + x - 53 + x - 79 + x - 105 = 963

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4x = 963 + 237

4x = 1200

x = 1200 / 4

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x - 105 = 300 - 105 = 195

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About 786,700,000 passengers traveled by plane in the United States in 2010. What is
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Step-by-step explanation:

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4 0
3 years ago
If vector u = &lt;-3.5, -1.5&gt; and vector v = &lt;-1.25, 2.25&gt;, which graph shows the resulting vector for 2v − u?
shusha [124]

Answer:

See the attached figure.

Given:

u = (-3.5 , -1.5) and v = (-1.25 , 2.25)

So,

2v = 2 * (-1.25 , 2.25) = (-2.5, 4.5)

∴ 2v - u = (-2.5, 4.5) - (-3.5 , -1.5) = (1 , 6)

The graph of the vectors is as shown in the attached figure.

8 0
3 years ago
Find the area of the shaded region
Dimas [21]

The area of the shaded region is 15.453 square units.

Step-by-step explanation:

Step 1:

The given shape consists of a rectangle and two circles.

The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.

The diameter of the circle is equal to the width of the rectangle.

So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.

Step 2:

The area of the rectangle = (l)(w) = (12)(6) = 72 square cm.

The area of each circle = \pi r^{2}  = (3.1415)(3^{2} ) = 28.2735 square cm.

The area of both circles =2(28.2735) = 56.547 square cm.

The area of the shaded region is the difference between the area of the rectangle and the area of both circles.

The area of the shaded region = 72 - 56.547 = 15.453 square units.

The area of the shaded region is 15.453 square units.

6 0
2 years ago
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