Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 paid $2.50 per ticket, while everyone else paid $4.00 per ticket. Last night’s show brought in $910.
Write a system to represent the given equations.

How many adult tickets were sold?

How many under the age of 16 tickets sold

Answers

Answer 1

Answer:

Student's tickets: 60

Adult's tickets: 190

I think this is right

Step-by-step explanation:

"Let x represent the number of tickets sold to students under the age of 16. Let y represent those over the age of 16.

Equation 1, number of tickets sold:

The total number of tickets sold to students under the age of 16 plus the number of tickets sold to students over 16 must equal 250 (since the theater was sold out). The equation becomes:

x + y = 250

Equation 2, revenue from tickets sold.

The total revenue was $910. The cost of tickets under 16 is $2.50 and the cost of tickets over 16 is $4.00. The equation becomes:

2.50 * x + 4.00 * y = 910.00

The system of equations to solve is:

         x  +  y = 250

2.50 * x +  4.00 * y = 910.00 "


Related Questions

Two number cubes, one red and one blue, are rolled. What is the probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5

Answers

Answer: The probability is 0.083

Step-by-step explanation:

First, let's find the individual probabilities:

The probability that the outcome of the red number cube is even:

This will be equal to the quotient between the number of outcomes that are even (3) and the total number of outcomes for this dice (6)

Then the probability is:

p = 3/6 = 1/2.

The probability that the outcome of the blue number cube is a 5.

Similar to the above case, here the probability will be the quotient between the number of outcomes that are 5 (only one) and the total number of outcomes.

q = 1/6

And the joint probability will be equal to the product of the individual probabilities, then he probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5 is equal to:

P = p*q = (1/2)*(1/6) = 1/12 = 0.083

DOES ANYONE KNOW THIS?? PLEASE HELP ME ON MY GEOMETRY

Answers

Step-by-step explanation:

Arrow JK=360-54-130-110=66

arrow MK=66+54=120

Angle L=120/2=60

3a=60

a=30

Which interval notation represents the set of all number greater than or equal to 1 and less than 6

Answers

Indicating the solution to an inequality such as \displaystyle x\ge 4x≥4 can be achieved in several ways.

We can use a number line as shown in Figure 2. The blue ray begins at \displaystyle x=4x=4 and, as indicated by the arrowhead, continues to infinity, which illustrates that the solution set includes all real numbers greater than or equal to 4.

A number line starting at zero with the last tick mark being labeled 11. There is a dot at the number 4 and an arrow extends toward the right.

Figure 2

We can use set-builder notation: \displaystyle \{x|x\ge 4\}{x∣x≥4}, which translates to “all real numbers x such that x is greater than or equal to 4.” Notice that braces are used to indicate a set.

The third method is interval notation, in which solution sets are indicated with parentheses or brackets. The solutions to \displaystyle x\ge 4x≥4 are represented as \displaystyle \left[4,\infty \right)[4,∞). This is perhaps the most useful method, as it applies to concepts studied later in this course and to other higher-level math courses.

The main concept to remember is that parentheses represent solutions greater or less than the number, and brackets represent solutions that are greater than or equal to or less than or equal to the number. Use parentheses to represent infinity or negative infinity, since positive and negative infinity are not numbers in the usual sense of the word and, therefore, cannot be “equaled.” A few examples of an interval, or a set of numbers in which a solution falls, are \displaystyle \left[-2,6\right)[−2,6), or all numbers between \displaystyle -2−2 and \displaystyle 66, including \displaystyle -2−2, but not including \displaystyle 66; \displaystyle \left(-1,0\right)(−1,0), all real numbers between, but not including \displaystyle -1−1 and \displaystyle 00; and \displaystyle \left(-\infty ,1\right](−∞,1], all real numbers less than and including \displaystyle 11. The table below outlines the possibilities.

I hope I will help

You had a goal to collect 150 cans for a food drive. You were able to collect 90 cans. What percent of your goal did you collect?

Answers

Answer:

60 %

Step-by-step explanation:

multiply .90 * 150

Answer:

60%

Step-by-step explanation:

hope this helps <3

HELP DUE IN 30 MIN

x =

Answers

Answer:

x=4

Step-by-step explanation:

21x+6=90(alternate angles)

21x=90-6

x=94/21

Therefore, x=4

Answer:

x=4

Step-by-step explanation:

21x+6=90

-6. -6

21x=84

/21. /21

x=4

Can someone PLEASE help me and solve for x. Step by step would be appreciated.

Answers

Answer:

You done it right

Step-by-step explanation:

Can you anser the question number 7

Answers

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = [tex]\frac{1}{2}x[/tex]

We need to find the length and width.

The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

F.4/7
G.1/2
H.1/4
J.3/7

Answers

Answer:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier

Step-by-step explanation:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closin[tex]\sqrt{x} 67[/tex]g of the frontier

find the zeros of the function by factoring 3x^2+ 10x=8​

Answers

Answer:

[tex]x=\frac{2}{3}, -4[/tex]

Step-by-step explanation:

hope this helps!

select all the questions that can represent the question: how many groups of 2/3 are in 1


1. 1 • 2/3 = ?

2. 2/3 divide 1 = ?

3. ? • 1 = 2/3

4. ? • 2/3 = 1

5. 1 divide 2/3 = ?


please help

Answers

5368}+6675 in the beginning of the change

help please thank you!!

Answers

She needs to go 13 floors up.
Well, if she starts off at the third floor below ground, that is basically counted as -3.
Now, if she needs to go to the 10th floor above ground level, we can simply subtract -3 from 10:
= 10 - (-3)
= 10 + 3
= 13
So, in conclusion, to go from her car to her office, she must go up 13 levels.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

A card is selected from a pack of 52 cards. What is the probability that the card is a 4

Answers

Answer:

1/52

Step-by-step explanation:

The probability that the card is a 4 in a pack of cards is 1 /13.

What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A card is selected from a pack of 52 cards. A favorable outcome is getting 4 since there are four 4 in a pack of cards. Thus,

When a card is selected from a pack of 52 cards the number of possible outcomes is 52 i.e., the sample space contains 52 elements

Therefore there are 52 points in the sample space.

Let E be the event in which the card drawn is an ace.

Since there are 4 aces in a pack of 52 cards n(E)=4

∴P(E)=  [tex]\frac{Totalnumberofpossibleoutcomes}{Numberofoutcomesfavourableto}[/tex]

E = [tex]\frac{n(S)}{n(E)}[/tex]

E = 4/52 = 1/13

​Therefore, In a deck of cards, there is a 1 in 13 chance that the card is a 4.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

 

if(x) = x + 2 and h(x) = x-1, what is f • h](-3)?

Answers

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

Write the expression shown below in simplest terms.

4/5 (10x - 25) + 25

Answers

Answer:

4

0

1

0

0

5

+

2

5

Step-by-step explanation:

Brainliest?

the simplified answer is 8x+5

Complete this number sentence.

0.59 > ____

A) 0.7

B) 0.09

C) 0.59

D) 0.61

Answers

Answer:

A and D are the answers for the question and

Step-by-step explanation:

please mark me as brainlest

Mr. Jenkins has 19 cases of beans on the shelves in the grocery store. He also has 6 cases of beans in the stock room. There are 14 cans of beans in each case. Which expression represents the total number of cans of beans Mr. Jenkins has? (19 + 14) x 6 14 x (19 + 6 ) (6 + 14) x 19 (6 x 19 + 14​

Answers

Answer:

14 × (19 + 6)

hope it helps

The expression represents the total number of cans of beans Mr. Jenkins is, (19+6)×14, So Option B is correct.

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Mr. Jenkins has 19 cases of beans

He also has 6 cases of beans in the stock room

There are 14 cans of beans in each case

Expression for total number of beans = ?

Total number of beans  = Total number of cases ×beans in each case

Total number of beans = (beans in grocery store+beans in stock room)×14

Total number of beans = (19 +6) × 14

Hence, the expression is  (19 +6) × 14

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

help help help ! (ITS DUE)

Answers

Answer:

y÷8

Step-by-step explanation:

The quotient is the result of division between two numbers.

SOOO its y÷8 because a quotient is a division problem and y and 8 are the variables in the equation!

y£8 that’s the answer

Write an exponential function that passes through the points:

1. (0,8),(1,12)

2. (0,3), (5, 16)

Answers

Answer:

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

Cound someone explain the relativistic mass-energy equation for me please? 100 points and brainliest

Answers

Answer:

Relativistic energy is conserved as long as we define it to include the possibility of mass changing to energy. Total Energy is defined as: E = γmc2, where γ=1√1−v2c2 γ = 1 1 − v 2 c 2 . Rest energy is E0 = mc2, meaning that mass is a form of energy. If energy is stored in an object, its mass increases.

Step-by-step explanation:

Answer:

Energy can either be potential energy or kinetic energy, but mechanical energy

Mechanical energy = Potential energy + Kinetic energy

[tex]potential \: energy = mgh \\ kinetic \: energy = \frac{1}{2}m {v}^{2} \\ mechanical \: energy = mgh + \frac{1}{2} m {v}^{2} \\ = \frac{1}{2} m(2gh + m {v}^{2} )[/tex]

Then for Eistein mass energy relation

E = mc²

c is speed of light

3(5 +4) + 4 – 2 •4=

HELPPPP

Answers

Answer:

23

Step-by-step explanation: hope this helps

Who can answer this ??

Answers

Answer:

I think d sorry if I get it wrong

Please help me with this question

Answers

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

  (x -2) = (2/3)(8)

  3(x -2) = 16 . . . . . multiply by 3 to clear fractions

  3x -6 = 16 . . . . . . eliminate parentheses

  3x = 22 . . . . . . . . add 6; next divide by 3*

  x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

-2x^a(-4x^b-2x^3+5x)

find the product

help plzzz

Answers

Yes hbu have to tell me that I’m going on to a nap I just woke me a text from my

math problem need help ​

Answers

There is a 1/4 chance to pull a non-yellow card

Find the slope and the y-intercept of the line.
1
y=-x+5
4
*x+5
slope:
8
08
Undefined
X Х
y-intercept: 0
6

Answers

Slope is -1/4

Y intercept is 5

slope should be -1/4 and y intercept should be 5.

Fill in the inequality first ( ) and then the number: x ____ ____

Answers

Answer:

x < 88

Step-by-step explanation:

ΔCED and ΔCEF

DE = EF      CE = CE      CF < CD

∠FEC < ∠DEC

x - 13 < 75

x < 88

5.7 +2.25 +1.3 I NeEd help

Answers

Answer:

9.25

Step-by-step explanation:

No problem..

5 (2x + 10) = 50
What is the answer

Answers

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

You can eliminate parentheses and subtract 50.

  5(2x +10) = 50

  10x +50 = 50 . . . . use the distributive property

  10x = 0 . . . . . . . . . subtract 50 from both sides

  x = 0 . . . . . . . . . . . divide by 10

__

Check

  5(2·0 +10) = 50

  5(10) = 50 . . . . true

X =
95
(7x - 4)
(3x + 23)°
(9x – 6)

Answers

Answer:

661 is for the first 308 for second 849 for last

Step-by-step explanation:

What inverse trig function can be used to find the measure of angle A? (Will give Brainliest ❤️❤️)

Answers

9514 1404 393

Answer:

  (b)  sin⁻¹

Step-by-step explanation:

The relevant trig function relating angles to sides is ...

  Sin = Opposite/Hypotenuse

Here, we have ...

  sin(A) = 4/12 = 1/3

  A = arcsin(1/30 = sin⁻¹(1/3)

The inverse sine function can be used to find the angle.

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