Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME

Tickets To A Movie Cost $11 For Adults And $7 For Students. A Group Of Friends Purchased 8 Ticketsfor

Answers

Answer 1

Answer:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

Write the problem as an equation like this

11x+7x=76

Now make an equation for the number of purchased tickets. Let x be adult and y be students.

x+y=8

Rewrite x + y = 8 as y = -x +8

Substitute y = -x + 8 into the first equation for y.

11x+7(-x+8)=76

11x+(-7x)+56=76

solve for 11x+(-7x)

4x+56+76

subtract 56 from both sides

4x=20

Divide both sides by 4

X=5

x + y = 8

5 + y = 8

y = 3

5 Adult tickets were purchased and 3 student tickets were purchased.

Answer 2

5 adult tickets and 3 student tickets were purchased.

What are system equations?

A finite set of simultaneous equations are called system equations.

Let, they purchased x tickets for adults and y tickets for students.

Therefore, system equations are:

x + y = 8 ----- equation 1

11x + 7y = 76----- equation 2

From equation 1,  we get: x = (8 - y)

Now, substituting the value of x in equation 2, we get:

11 × (8 - y) + 7y = 76

⇒ 88 - 11y + 7y = 76

⇒ 88 - 76 = 4y

⇒ 4y = 12

⇒ y = 3.

Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.

Hence, 5 adult tickets and 3 student tickets were purchased.

Learn more about system equations here: https://brainly.com/question/24065247

#Tag #SPJ2


Related Questions

The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.

Answers

Given:

The amount of fuel remaining in a gas grill is a function of the number of hours.

[tex]F(h)=100-2h[/tex]

To find:

The domain for this situation.

Solution:

Domain is the set of input values.

The amount of fuel remaining in a gas grill F(h) is

[tex]F(h)=100-2h[/tex]

where, h is the number of hours.

Here, domain is the set of all possible values of h.

We know that, time and remaining fuel cannot be negative. So,

[tex]h\geq 0[/tex]      ...(i)

[tex]F(h)\geq 0[/tex]

[tex]100-2h\geq 0[/tex]

[tex]100\geq 2h[/tex]

[tex]50\geq h[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]0\leq h\leq 50[/tex]

Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].

-4/7 + (-4/3) HELP ME

Answers

Answer:

-40/21

Step-by-step explanation:

(-4/7) + (-4/3) =

First you need to find a common denominator:

(-4/7)(3/3) + (-4/3)(7/7) =

(-12/21) + (-28/21) =

Then combine the two fractions:

(-40/21)

And because you cannot simplify further, you are finished.

please help am confused

Answers

Answer:

9%

Step-by-step explanation:

432 ÷ 6 = 72

8 = 1% of 800

8 x 9 = 72 = 9%

Step-by-step explanation:

I = P×r%×t

432 = 800 × r/100 × 6

432 = 4800 × r/100

[tex]r = \frac{432 \times 100}{4800} [/tex]

r = 9%

Which expression is equivalent to 1/4x+3−1/3x+(−2)?

Answers

Answer:

7/12x+5

Step-by-step explanation:

A line passes through the point (-6,6) and has a slope of 3/2.

Answers

Answer:

y=3/2x+15

Step-by-step explanation:

Answer:

y=3/2+15

Step-by-step explanation:

the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?

Answers

Answer:

p[

Step-by-step explanation:

p[

A graph of a quadratic function is shown below.

What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)

Answers

Using it's concept, it is found that the vertex of the quadratic function is given by:

B (800, 10).

What is the vertex of a quadratic equation?

It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.

In this problem, it turns at x = 10 and y = 800, hence option A is correct.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

Step-by-step explanation:

What is the range of the function graphed below?


Answers

Answer:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Step-by-step explanation:

Range of a Function

Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.

If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.

Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.

Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.

The first interval of the range is [-4,0)

Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).

The range of f is the union of both intervals:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Answer:

B

Step-by-step explanation:

What is the slope of (-3,4) and (0.3)

Answers

Answer:

m=-1/3

Step-by-step explanation:

To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁

So you would have 3-4 divided by 0-(-3)

And then you would get -1/3

Answer:

-0.33333

//////Step-by-step explanation:///////

dividing a faction by a fraction 3/5 divided 1/3​

Answers

(3/5) / (1/3) = 3*3/5*1 = 9/5 or 1 4/5

Answer:

9/5

Step-by-step explanation:

3/5 ÷ 1/3

3/5 ÷ 3/13/5 × 3/1 = 9/5

9/5

how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six

Answers

Answer:

C

Step-by-step explanation:

2-(p*6)

minus=the difference of

(p*6)=p times 6

Fully written out: The difference of two and p times six

Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?

Answers

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line

Answers

Answer:

the equation is x=-3

Step-by-step explanation:

no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line

10) Choose the correct answer.
Simple Inequalities:



please help

Answers

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

Help me !!! Solve: 3b − 2 = 7

Answers

Answer:

B=3

Step-by-step explanation:

3b - 2 = 7
+2 +2
3b = 9
Divide by 3 on both sides...
b = 3

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

19.04

Step-by-step explanation:

convert 170% into decimal form number:

1.7

Then multiply by 11.2:

1.7 × 11.2 = 19.04

Pls consider marking my answer as Brainliest! It would mean a lot!

A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price are:

$0.285 for the 10.5 ounce package

$0.272 for the 29.3 ounce package.

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Step-by-step explanation:

From the question:

A 10.5-ounce package costs $2.99.

The unit price = 1 ounce.

10.5 ounce = $2.99

1 ounce = x

10.5 ounce × x = 1 ounce × $2.99

x = 1 ounce × $2.99/10.5 ounce

x = $0.2847619048

The unit price = $0.2847619048

Approximately = $0.285

A 29.3-ounce package costs $7.98.

The unit price = 1 ounce.

29.3 ounce = $7.98

1 ounce = x

29.3 ounce × x = 1 ounce × $7.98

x = 1 ounce × $7.98/29.3 ounce

x = $0.2723549488

The unit price = $0.2723549488

Approximately = $0.272

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Answer: i did this test

Step-by-step explanation:

HELP HAVING BAD DAY


Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?

Answers

Answer:  15 miles

===========================================

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

The answer is 15 miles!

Explication:
I had the same question and this was right

Which of the following equations could you solve by first adding six and then dividing by negative three?
6.3 x= -9
+ 6 = -9
-3
-3 - 6 = -9
3 x-6 = -9

Answers

I’d say A

Because 6.3 plus 6 is 12.3 minus negative 3 is 9

Answer:

-3 x - 6 = -9

Step-by-step explanation:

simplify 3x(4x-5)+3 and its value for X = 3​

Answers

Answer:

Step-by-step explanation:

3x ( 4x - 5 ) + 3

12x^2 - 15x + 3

12 × 3^2 - 15 × 3 + 3

12 × 9 - 45 + 3

= 108 - 45 + 3

= 66

Hope this helps

plz mark as brainliest!!!!!!

During this basketball season trey took 250 shots and made 72 shots what was his shooting percent

Answers

Trey sucks at basketball. But just divide 72 by 250 and you’ll get your answer big shooter hope this helped.

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

Answers

Answer:

10

BEEP

BPEE

BEPE

EEPB

EEBP

EBEP

EPEB

PBEE

PEEB

PEBE

Answer:

12

Step-by-step explanation:

4! is 4*3*2*1

since there were 4 letters 4 could be chosen at the first letter

since one of the letters were chosen only 3 could be chosen as the second letter

and then it is 2 because there are 2 letters left

and 1 because there is only 1 letter left

so 4!

Then you divide by 2 because the 2 es are indistinguishable

What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5

Answers

x-intercept: 4

y-intercept: 20

Answer:

Step-by-step explanation:

x-intercept: 4

y-intercept: 20

Can someone please give me a free disney plus account

Answers

Answer:

Uh- I cant ;w;

Step-by-step explanation:

Answer:

yes I can if you still want one

Step-by-step explanation:

It will make my life if you help me with this forealzez

Answers

Answer:116

Step-by-step explanation:

By definition, a rhombus will have equal opposite angles.

Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.

Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64

Now that we have found out c is 64, we plug it into the angle 2c-12 to get

2*64-12=116.

So again by definition, angle J will be 116 degrees since its an opposite angle.

Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.

Answers

Answer:

792

Step-by-step explanation:

Sorry if im wrong :)

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT

Answers

The answer is 29 for x

Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

Other Questions
If you could change one thing in the world what would it be?1 Paragraph Which expression represents 7 more than x 7+x x-7 x7 7x According to the video, which activities are Executive Secretaries and Administrative Assistants likely to do? Check all that apply. Supervise office staff, prepare presentations, conduct research, create a budget, file paperwork, greet visitors The first column of the periodic table is called the Tori, a 23 year-old, is unemployed and afraid to leave her house. She has only left her house once in the past year. Her fear of leaving the house started about a year ago when she was in the supermarket and suddenly experienced a feeling of sheer terror. She felt like she was totally out of control and might die. She had two subsequent attacks, both when she was out of her house, and since then she has been afraid to go out. On the one occasion when she left her house in the past year, she insisted that her best friend accompany her and stay by her side until she returned home. Tori may suffer from ____________. A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?A) 1/2B) -1/2C) 2D) -2 How do you know if something is alive? Describe some of the characteristics of living things. Please complete the spreadsheet template:Trans no. Transaction1. Pamela Wong, the owner, opened a checking account for the business by depositing $48,000 of her personal funds. 2. Paid the monthly rent of $1,500. 3. Bought office furniture on account for $1,000. 4. Pamela Wong invested $3,000 of office equipment in the business. 5. Paid cash for a new computer for the business, $5,000. 6. Paid for an advertisement in the local newspaper, $200. 7. Completed graphic desktop publishing services for a client and sent a bill for $800. 8. Paid $700 on account for the office furniture bought earlier. 9. Received $500 on account from a client. 10. Pamela Wong withdrew $1,000 for personal use. 11. Received $400 cash for desktop publishing services completed for a client. 1) Causes of the American RevolutionWhat was the cry of the colonists as Parliament passed taxes without their consent?Know what the following Acts did and what order they happened in:Stamp Act Townshend Acts: Tea Act: Sugar Act:Intolerable Acts:Quartering Act:What event resulted in the Boston Tea Party?What did the Boston Tea Party lead to?The Boston Massacre happened because... When sentences include coordinating conjunctions, they should notuse How many years separate the following two events: the Battle of Marathon (490 BCE) and the end of the Roman Republic (27 BCE)? Which social class benefited the most from feudalism? Select all that applyHistory is the recorded story of the interaction between _____, ____ and ____.A. environmentB. ideasC. future eventsD. peopleE. patterns It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send? what turns colour in an acid and base A federal tax is paid to:A. the state government only.B. the federal government only.C. both the federal and state government.D. international government organizations. Exit ticket hurry please!! At the local banking institution the branch manager doubles as the IT "go-to" by handling printer setups, resettingLAN passwords, and periodically monitoring the branchs server health. Last week she noted that a handful of herbranchs customers complained about suspicious activity in their checking accounts. She knew that the main branchwould handle it and repair any fraudulent charges. She also knew better than to bother the main branch with these customer complaints because the main branch is always ahead of things like this and quickly reminds her that they seewhat she does. Her only response, therefore, was to assure her customers that their accounts would be repaired withinten business days.The most likely law or regulation that becomes an issue upon her discovery i:__________.a. The Gramm-Leach-Bliley Acts Safeguards Ruleb. The Good Samaritan Lawc. Section 404 of the Sarbanes-Oxley Actd. The FTCs Red Flags Rule Label the following hypothetical demand scenarios. Use the midpoint method. Contain Yourself!, a plastic container company, raises the price of its signature "lunchbox" container from $3.00 to $4.00. As a result, the quantity sold drops from 20,000 to 15,000. .......... Economists working for the United States have determined that the elasticity of demand for gasoline is 0.5. .................. CapCityMetro decides to increase bus fare rates from $2.00 to $2.21. Consequently, the number of passengers who decide to take the bus in Austin drops from an average of 70,000 riders a day to an average of 61,000 riders a day. ............... Inelastic unit-elastic Elastic perfectly elastic He told me as if thinking aloud, "Abdul! I know you have to go away to grow. Doesthe seagull not fly cross the sun, alone and without a nest?"1. Who is 'he' in the above extract?2. What values of the narrator's father is revealed in the above lines?3. Who has quoted the following quote Does the seagull not fly cross the sun,alone and without a nest?"