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Natalka [10]
3 years ago
13

The sophomore class sold a total of 700 adult and student tickets to the school play. Adult tickets sold for $4.50 each and stud

ent tickets cost $2.oo each. If they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y; the number of adult tickets sold?
A: x+y = 1200
2x+4.5y =700

B: x+y=700
2x+4.5y=1200

C: x+y=1200
x+y = 700

Mathematics
2 answers:
mars1129 [50]3 years ago
6 0

Answer:

some answers

sergiy2304 [10]3 years ago
3 0
The answer is <span>
B: x+y=700
2x+4.5y=1200
</span>

<span>x - the number of student tickets sold,
y - the number of adult tickets sold

The total number of sold tickets is 700:
x + y = 700

</span><span>Adult tickets sold for $4.50 each and student tickets cost $2.oo each. If they took in a total of $1,200:
2x + 4.50y = 1200

The system of equations is:
</span>x + y = 700
2x + 4.50y = 1200
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2 years ago
Write an equation of the line through each pair of points in slope-intercept form.
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Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

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Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

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y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0
3 years ago
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