Complete these ordered pairs for this equation. (0, ), (2, ), ( ,3)3x-2y=6

1 answer:

6 0

3x-2y=6
3(0)-2y=6
0-2y=6
-2y=6
-2y÷-2=6÷-2
y=-3
First one: (0, -3)
3x-2y=6
3(2)-2y=6
6-2y=6
6-6-2y=6-6
-2y=0
-2y÷-2=0÷-2
y=0
Second one: (2,0)
3x-2y=6
3x-2(3)=6
3x-6=6
3x-6+6=6+6
3x=12
3x÷3=12÷3
x=4
Third one: (4,3)

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Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040

Nezavi [6.7K]

Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.

5 0

3 years ago

Tammy received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.41 per pound. After buying the

Ivahew [28]

Total money Tammy has = $70

Money she is left with now = $19.54

Therefore, the money she used on coffee =

70 - 19.54 = $50.46

Now,

1 pound coffee costs $8.41

Pounds of coffee she bought = 50.46 ÷ 8.41

= 6 pounds