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andreyandreev [35.5K]
3 years ago
15

Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?

Mathematics
2 answers:
Lena [83]3 years ago
5 0

Answer:

The answer is D

Step-by-step explanation:

2/3x-5/6=5/12x+1/4

x=1

the only option that x=1 is

2/3x-13/12=-5/12x

Scorpion4ik [409]3 years ago
3 0
2/3x - 5/6 = -5/12x + 1/4 =
2/3x - 5/6 - 1/4 = -5/12x
2/3x - 10/12 - 3/12 = -5/12x
2/3x - 13/12 = -5/12x <=====
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Answer:

The nomber of people can attend a dinner that costs $131. 50 is 14.

Step-by-step explanation:

With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:

c=16+8.25x, where:

c is the total cost of he dinner

x is the number of people

Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:

131.50=16+8.25x

131.50-16=8.25x

115.50=8.25x

x=115.50/8.25

x=14

According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.

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Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)
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Answer:

y=2x+1.

Step-by-step explanation:

You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.

3 0
3 years ago
Line PQ passes through the points P(-5,-13) and Q(5,17) what is the equation of line PQ in standard form
PSYCHO15rus [73]

Answer:

3x - y =  - 2

Step-by-step explanation:

The given line PQ passes through the points P(-5,-13) and Q(5,17) .

Find the slope using the formula:

m =  \frac{y_2-y_1}{x_2-x_1}

Plug in the points to get:

m =  \frac{17 -  - 13}{5 -  - 5}

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Use the point-slope formula :

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The standard form is when the equation is put in the form

ax + by = c

Regroup the terms to get:

3x - y =  - 17 + 15

The standard form is

3x - y =  - 2

8 0
4 years ago
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