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3 years ago

Examine the diagram, and answer the question.

Mathematics

1 answer:

ELEN [110]3 years ago

4 0

9514 1404 393

Answer:

11.7

Step-by-step explanation:

GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.

The distance formula is used for this:

d = √((x1 -x1)² +(y2 -y1)²)

d = √((-4-2)² +(-3-7)²) = √(36 +100)

d = √136 ≈ 11.7

_____

Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.

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Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a

saw5 [17]

Answer:

Alejandro went to 8 matinee shows and 4 evening shows.

Our system of equations:

x + y = 12

7x + 12y = 104

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

y = 4 ⇒ x = 12 - 4 = 8

Alejandro went to 8 matinee shows and 4 evening shows.

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