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1 year ago

The members of the city cultural center have decided to put on a play once a night for a

1 answer:

4 0

To answer the first question, we have these two equations:

x + y = 500 and 7.5x + 4.5y = 2550

We can use substitution to solve for x and then plug it back into any equation and find y.

y = 500 - x

7.5x + 4.5 (500 - x) = 2550

7.5x + 2250 - 4.5x = 2550

3x = 300

x = 100 adults

100 + y = 500 → y = 400 students

To answer your second question, we have two new equations:

2x = y (This may be confusing, but since there were more student tickets sold, it is the larger number.)
x + y = 300

We can rewrite the first equation and add them together:

2x - y = 0
x + y = 300

3x = 300

x = 100 adults

100 + y = 300 y = 200 students

The money earned from these 300 people is 100 * 7.5 + 200 * 4.5 = 750 + 900 = $1650.

$2550 - $1650 = $900

The 300 tickets sold had a $900 fall in ticket sales.

Hope this helps!

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What is the range of the function f(x) = 3x2 + 6x – 8?

oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

3 0

2 years ago

In the diagram, GB = 2x + 3..

zaharov [31]

Answer-

$\boxed{\boxed{GB=15\ units}}$

Solution-

From the attachment,

AD = AE, so FA is a median.

BD = BF, so BE is a median.

CF = CE, so DC is a median.

And G is the centroid.

From the properties of centroid, we know that

The centroid divides each median in a ratio of 2:1

So,

$\Rightarrow FG:AG=2:1$

$\Rightarrow \dfrac{FG}{AG}=\dfrac{2}{1}$

$\Rightarrow FG=2\times AG$

$\Rightarrow 5x=2\times (x+9)$

$\Rightarrow 5x=2x+18$

$\Rightarrow 3x=18$

$\Rightarrow x=6$

So, GB will be $2(6)+3=15$ units

5 0

2 years ago

Read 2 more answers

miles has 24 baseball cards. he wants to display the cards in even rows. 2 different arrays to show how miles could display his

Anna11 [10]

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4 0

2 years ago

Read 2 more answers

How long does it take to travel 300 mi at a constant speed of 15 mi/h?

Luba_88 [7]

It would take 20 hours

300/15= 20

8 0

2 years ago

Read 2 more answers

A rectangle. one side is 2x + 7 and the other is x+3

saveliy_v [14]

$\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}$

6x + 20

Step-by-step explanation:

To find :-

Perimeter of rectangle

Given :-

Length = 2x + 7

Breadth/width = x + 3

Solution :-

We know that

$\mathfrak {perimeter \: of \: rectangle =2(length + breadth) }$

Now we will substitute the values of length and breadth

$\sf \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\ \\ \\ \sf \longmapsto perimeter = 2 \{3x + 10 \} \\ \\ \\ \sf \longmapsto perimeter = 6x + 20$

6 0

1 year ago