in a theater there are 200 seats adult tickets cost $12.50 and child tickets cost $6.25 the cinemas goal is to sell at least $1500 worth of tickets for the theater write a system of inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy, the goal.

Answers

Answer 1

Answer: x=$12.50
y=$6.25

$12.50x+$6.25y (> and =) $1500

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Factorize : a2 + b2 _ 2(ab - ac + bc ).

Taking a discount of 50% off followed by a discount of 50% off results in a total discount of _____.

Answers

I believe that it is 75%, because if you take 20*.50= 10*.50=5= 75% of your original price. I think..

Answer:

75% is the total discount

Step-by-step explanation:

What is the value of b? –7b = –42

Answers

for this question you can just divide the both sides by -7 so you gonna have :
-7b/-7 = -42/-7 ⇒ b = 6 :)))
i hope this is helpful
have a nice day

$-7b = -42\n\nb = (-42)/(-7)\n\n\boxed{\bf{b = 6}}$

A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?(1 point)no more than $150

less than $250

less than $150

no more than $250

Answers

Answer: no more than 250

Step-by-step explanation:

Answer less than 250

Step-by-step explanation:

How do i identify the slope,y intercept,x intercept, and zero on a graph

Answers

To find the slope of a line, you need to find the change in x over the change in y, or rise over run. You can do this by taking two points and using the formula $(y_(2) -y_(1))/(x_(2) -x_(1))$ .

To find the y-intercept, find where the graph touches the y-axis.

To find the x-intercept, find where the graph touches the x-axis.

Zeroes on a graph are the same as its x-intercepts.

5.Twenty-four dogs are in a kennel. Twelve of the dogs are black, six of the dogs haveshort tails, and fifteen of the dogs have long hair. There is only one dog that is black with
a short tail and long hair. Two of the dogs are black with short tails and do not have long
hair. Two of the dogs have short tails and long hair but are not black. 6 dogs are only
black. How many dogs are black with long hair but do not have short tails. How many
have only Long hair?

Answers

Answer:

Step-by-step explanation: yes

Final answer:

There are 3 black dogs with long hair but do not have short tails and 12 dogs that have only long hair.

Explanation:

The problem at hand relates to the field of set theory and involves operations such as counting and deduction. The first step is to organize the data into different categories of dogs: black dogs, dogs with short tails, and dogs with long hair. Thereafter, we combine the categories based on the additional information provided.

Firstly, there 12 black dogs. Of these, 1 dog has a short tail and long hair, 2 dogs have short tails and no long hair, and 6 dogs are only black. This sums up to 9 dogs. Thus, there are 12-9 = 3 black dogs with long hair but do not have short tails.

Secondly, 15 dogs have long hair. Among these, 1 dog is black with a short tail, and 2 dogs have short tails but are not black. This sums up to 3 dogs, leaving 15-3= 12 dogs with only long hair.

Learn more about Set theory here:

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Which statement describes the graph of the system of equations below?1.5x + 0.2y = 2.68

1.6x + 0.3y = 2.98

The lines are parallel.

The lines overlap at all points.

The lines intersect at (1.6,1.4).

The lines intersect at (3.1,0.5).

Answers

In order to see the behavior of the line formed from the equations, we write the given equation in general form which is y=mx+b

1.5x + 0.2y = 2.68 --> y= -7.5x + 13.4

1.6x + 0.3y = 2.98 --> y= -5.33x + 9.93

They definitely are not parallel lines and do not overlap at all points. Plotting the equations in a graph, an intersection is observed. This intersection most likely is the third option. The lines at (1.6, 1.4).

Answer

taskmasters

In order to see the behavior of the line formed from the equations, we write the given equation in general form which is y=mx+b

1.5x + 0.2y = 2.68 --> y= -7.5x + 13.4

1.6x + 0.3y = 2.98 --> y= -5.33x + 9.93

They definitely are not parallel lines and do not overlap at all p

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Which question is being asked in this story problem? Mary bought 3 bouquets of flowers on Monday. She paid $5 for each bouquet. On Friday she bought 1 more bouquet than on Monday. How much did Mary spend on bouquets on Friday? A. How many bouquets of flowers did Mary buy on Friday? B. What is the total amount of money Mary paid for flowers on Friday? C. How many more flowers did Mary buy on Friday than Monday? D. How much does one bouquet of flowers cost?