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Olegator [25]
2 years ago
9

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and

balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
Below is a sketch of the graph.
a) Write the inequality of the line.

b) Identify the ordered pair for point A.

c) Identify the ordered pair for point B.

d) State which direction they should shade and why that makes sense in context.

Mathematics
1 answer:
Zolol [24]2 years ago
5 0

Answer:

Step-by-step explanation:

Lets denote number of floor tickets by x and

Lets denote number of balcony tickets by y as shown in the figure in the question

so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be

a) 15x+12y\geq 3000

b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation

15x + 12y = 3000 which is the boundary line. So here goes,

15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\

so our y-intercept is 250 which means Point A is (0 , 250)

c) They should  shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.

I have attached a graph to clearly visualize the solution as well.

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The function h(x)=x^2+3 and g(x)=x^2-6. if g(x)=h(x)+k, what us the value of k
lutik1710 [3]

Answer:

The value of k is -9

Step-by-step explanation:

Subsitute

g(x)=h(x)+k

(x^2-6)=(x^2+3)+k

x^2-6=x^2+3+k

subtract x^2+3 from both sides (or add -x^2-3 to both sides)

-9=k

k=-9

3 0
2 years ago
Then add five pairs of your own explaining their connotative differences
olasank [31]
1. Crippled, Disabled 
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 Both seem same but relaxed refers to free, pleasure and stress free but easy-going implies not serious and laziness.
 3. Knockout, Beautiful
 Knockout mainly used to imply someone is sex y where as beautiful is simple compliment for a person.
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4 0
3 years ago
Lee watches TV for 2 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (10 cents)/(1 kilowa
vladimir1956 [14]

Answer:

$1.5

Step-by-step explanation:

Lets us first calculate energy consumed by TV in 30 days.

Energy consumed by TV in one hour : 250 watts.

TV operated 2 hours a day

so energy consumer by TV in a day = 250 * 2 watts = 500 watts hour

Energy consumed by TV in 30 day = energy consumer by TV in a day * 30

         = 500*30 watts = 15,000 watt-hour

Convert total energy consumed in kilo watt hour  

we know that one kilowatt hour = 1000 watt-hour

Thus, 15,000 watt-hour = 15,000/1000 kilowatt-hour = 15 kilowatt-hour

________________________________

cost of electricity = 10 cents per   kilowatt-hour

cost of electricity for 15 kilowatt-hour = 15* cost of electricity for one  kilowatt-hour( which is 10 cents)

=>15*10 = 150 cents

As $1 = 100 cents

hence 150 cents = $150/100 = $1.5 .

Thus, it cost $1.5 to to operate for a month of 30 days.

6 0
3 years ago
How do you find a subtotal
jolli1 [7]

This is the hardest question I've answered all day.

One way to find a sub-total is by *simply* adding everything together, and a example would be below, buy yeah, you just add everything together.

For example:

Cookies (item # 594993) $2.98

Cake (item # 4354533) $4.50

Vans low tops (item # 594939) $60.00

Vans socks (item # 598993) $15.00

And just by adding all this, that how you would find the subtotal. Hope this helps! ;)


5 0
3 years ago
A circuit board manufacturer can produce 2,000 boards per hour. How many days will it take to produce 16,500 if the company has
mrs_skeptik [129]
Hi <span>Mrsdiaz1jd1977owwfvt!
OK so 2,000 boards per hour in 10 hours is 2,000*10=20,000 boards in 10 hours. So it can produce 16,500 boards in less than a day.
I may be wrong but I hope this helps!</span>
5 0
3 years ago
Read 2 more answers
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