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2 years ago

98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONS

Mathematics

1 answer:

photoshop1234 [79]2 years ago

5 0

Answer:

40 Tickets

80 Tickets

Step-by-step explanation:

To find how many tickets it will take to break even, we use the formula:

$Break Even In Units = \dfrac{FixedCost}{SalesPricePerUnit-VariableCost}$

Our variables are:

Fixed Cost = $200

Sales Price = $10

Variable Cost = $5

Let's plug in our values into the formula.

$Break Even In Units = \dfrac{200}{10-5}$

$Break Even In Units = \dfrac{200}{5}$

$Break Even In Units = 40$

So the class needs to sell a total of 40 Tickets to break even.

Since we know that it takes 40 tickets to break even a $200 Fixed cost. To make a profit of $200, we simply multiply the number of tickets sold by 2.

Number of tickets for $200 profit = 40 x 2

Number of tickets for $200 profit = 80 Tickets.

So the class needs to sell 80 Tickets to make a $200 Profit.

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I got 12 for the answer.

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Marizza181 [45]

Given:
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3 years ago

Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20 -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

3 0

1 year ago

Find the area of the figure

Ymorist [56]

Answer:

64 meters^2

Step-by-step explanation:

Break the shape into small parts:

The largest rectangle's area is: 5*11 = 55 meters^2

The smaller rectangle's area: 3*3 = 9 meters^2

55 m^2+9m^2 = 64 meters^2

3 0

2 years ago

Find the midpoint of (-8,-10) and (8,0)

Allisa [31]

Answer:

(0,-5)

Step-by-step explanation:

You just have to find the middle of each one

From -8 to 8 there are 16 numbers so you divide 16 by 2 which would be 8 and add that to -8 giving you 0

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This makes your midpoint (0,-5)

6 0

2 years ago