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Tresset [83]
3 years ago
14

Which equation does the graph of the systems of equations solve?

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

  • at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

\frac{1}{3}x+1=2x-4

Subtract 1 from both sides

\frac{1}{3}x+1-1=2x-4-1

Simplify

\frac{1}{3}x=2x-5

subtract 2x from both sides

\frac{1}{3}x-2x=2x-5-2x

Simplify

-\frac{5}{3}x=-5

Multiply both sides by 5

3\left(-\frac{5}{3}x\right)=3\left(-5\right)

Simplify

-5x=-15

Divide both sides by -5

\frac{-5x}{-5}=\frac{-15}{-5}

Simplify

x=3

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

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Old Farmer MacDonald wants to build a pen to keep his chickens in. He has 36 meters of fence and plans to make a rectangular pen
goldenfox [79]

Answer:

2 = 18

4 = 9

6 = 6

8 = 4.5

10 = 3.6

12 = 3

14 = 2.57 (2.6 simplified)

16 = 2.25 (2.3 simplified)

Step-by-step explanation:

You can solve this by dividing 36 (the whole amount of meter of fences)

by each number of the length

area                    width

36 divided by 2 = 18

36 divided by 4 = 9

36 divided by 6 = 6

36 divided by 8 = 4.5

36 divided by 10 = 3.6

36 divided by 12 = 3

36 divided by 14 = 2.57 (2.6 simplified)

36 divided by 16 = 2.25 (2.3 simplified)

3 0
2 years ago
Please help me answer #4, #5 and #6
Salsk061 [2.6K]

Answer:

4). The Washington Monument is 169.2-m tall.

Step-by-step explanation:

4). We know this because...

person     1.8       0.7

----------  = -----  = -------

Wash.        x       65.8

We then know to cross-multiply to get:  

1.8(65.8) = 0.7x

Which simplifies down to:

118.44 = 0.7x

x = 169.2

Answer:

5). The pond is 180ft wide.

Step-by-step explanation:

5). We know this because...

90       120

-----  = -------

135        x

We then know to cross-multiply to get:

90x = 120(135)

Which simplifies down to:

90x = 16200

x = 180

Answer:

6). The height of the clock tower is 13ft 9in.

Step-by-step explanation:

6). We know this because...

person       5.5         4

----------  =  --------  = -----

clock            x          10

We then know to cross-multiply to get:

5.5(10) = 4x

Which simplifies down to:

55 = 4x

x = 13.75 (13 ft 9 in)

7 0
3 years ago
What is 4% as a simplified fraction?
zysi [14]
4% is the same as .04 and 4/100. 4/100 can be simplified to 1/25 by dividing both sides of the fraction by 4
7 0
3 years ago
I'm.not understanding this at all please help
alekssr [168]
Http://rss2search.com/nohost.php?url=www.edhelperblig.com/cgi-bin/socstud.cgi
6 0
3 years ago
If m 180<br> °<br> then <br> A. <br> Obtuse<br><br> B. <br> Vertical<br><br> C. <br> Complementary<br><br> D. <br> Supplementary
insens350 [35]

Answer:

vertical

Step-by-step explanation:

because 180degrees is a straight line

6 0
3 years ago
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