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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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There are 48 DVDs of comedies and dramas on the shelf. If 25% of the DVDs are comedies, how many are dramas?
Mazyrski [523]

There are 36 drama DVD's

<em><u>Solution:</u></em>

Given that there are 48 DVD's of comedies and dramas on shelf

25 % of DVD's are comedies

To find: number of drama DVD's

Total number of dvd = 48

Number of comedy dvd = 25 % of 48

Let us find 25 % of 48

\rightarrow 25 \% \text{ of } 48\\\\\rightarrow 25 \% \times 48\\\\\rightarrow \frac{25}{100} \times 48\\\\\rightarrow 0.25 \times 48 = 12

Thus, number of comedy dvd = 12

Thus we get,

number of drama DVD's = Total number of dvd - number of comedy dvd

number of drama dvd = 48 - 12 = 36

Thus there are 36 drama dvd's

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3 years ago
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ale4655 [162]
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zubka84 [21]

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

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5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

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7. this ones pretty simple

2x-4+3x+5+2x+11=180

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Hope This Helps!!!

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Answer:

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Step-by-step explanation:


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