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tresset_1 [31]
3 years ago
3

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people

. By selling​ tickets, the members would like to raise ​$2,700 every night to cover all expenses. Let d represent the number of adult tickets sold at ​$6.50. Let s represent the number of student tickets sold at ​$3.50 each. If all 600 seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$2,700​? At one performance there were threethree times as many student tickets sold as adult tickets. If there were 400 tickets sold at that​ performance, how much below the goal of ​$2,700, did ticket sales​ fall?
Mathematics
1 answer:
Paladinen [302]3 years ago
5 0

Answer:

2,300

Step-by-step explanation:

2,700-400=2,300

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Answer: C

Step-by-step explanation:

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2 years ago
What is the value of y in the solution to the following system of equations?
lukranit [14]

Answer:

Option D is the correct answer.

Step-by-step explanation:

The equations are:

5x - 3y = -11     Eqn 1

2x - 6y = -14     Eqn 2

We have to find the value of y so we will eliminate x.

Multiplying Eqn 1 by 2

2(5x-3y=-11)

10x-6y=-22     Eqn 3

Multiplying Eqn 2 by 5

5(2x-6y=-14)

10x-30y=-70     Eqn 4

Subtracting Eqn 4 from Eqn 3

(10x-6y)-(10x-30y)= -22-(-70)

10x-6y-10x+30y = -22 + 70

24y = 48

\frac{24y}{24}=\frac{48}{24}\\y=2

Therefore,

Option D is the correct answer.

4 0
3 years ago
Whats the answer for this? question? D:
omeli [17]
-1 because x is 4 so you just plug it in and 4-8 is -4 and -4/4 is -1.
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3 years ago
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I need a little help! Can someone check my work? It's a written response with linear systems.
andreyandreev [35.5K]

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

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These equations are "different", but they are <em>dependent</em>.

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I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

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In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

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