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maks197457 [2]
3 years ago
5

98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONS

Mathematics
1 answer:
photoshop1234 [79]3 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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The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?
elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

15x+7y=15

The given inequality is

15x+7y\geq 15

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

15(0)+7(-3)\geq 15

-21\geq 15

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

15(-3)+7(0)\geq 15

-45\geq 15

This statement is false, therefore option b is incorrect.

Check the point (3,3),

15(3)+7(3)\geq 15

66\geq 15

This statement is true, therefore option c is correct.

Check the point (-3,-3),

15(-3)+7(-3)\geq 15

-66\geq 15

This statement is false, therefore option d is incorrect.

7 0
3 years ago
Graph the hyperbola with equation quantity x minus 1 squared divided by 49 minus the quantity of y plus 3 squared divided by 9 e
Sliva [168]

Answer:

See attached diagram

Step-by-step explanation:

You are given the equation of hyperbola

\dfrac{(x-1)^2}{49}-\dfrac{(y+3)^2}{9}=1

From this equation,

  • the center of hyperbola is at point (1,-3);
  • the real semi-axes a^2=49\Rightarrow a=7;
  • the imaginary semi-axes b^2=9\Rightarrow b=3.

Draw two parallel lines x=1 and y=-3 (they intersect at the center of hyperbola), then on horizontal line match two hyperbola's vertices (7 units to the left and 7 units to the right from the center). Then draw two branches of hyperbola (one in negative direction and one in positive direction).

3 0
4 years ago
Which graph does not represent a function
ohaa [14]

Answer:

The graph that does not represent a function is;

The first graph of the circle

Step-by-step explanation:

A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range

Therefore, a function maps an input to exactly one output

In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle

In the graph of the circle, we have;

When x = 0 at the origin, y = 0

Similarly

When x = 0 at the maximum point, y = 4

Therefore, the graph of the circle does not represent a function.

7 0
3 years ago
Alain throws a stone off a bridge into a river below.
harkovskaia [24]

the answer is 3 seconds

6 0
3 years ago
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of
Alecsey [184]

Answer:

Hello There the Correct answer is 8 + 24 x greater-than 864.

<h3> Explanation</h3>

Step 1: 864-56= 608

Step 2: 24-8= 16

Step 3: 608/16=38

7 0
4 years ago
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