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

Answers

Answer 1

Answer:

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.


Related Questions

Laura e Lucas estão preparando vasos para a plantação de flores, eles têm um saco com 12 kg de terra e precisam dividir em vasos com capacidade de 300 gramas. Quantos vasos serão necessários para usar toda terra?

Answers

Answer:

Vai exigir 40 potes

Step-by-step explanation:

Aqui, queremos saber o número de vasos necessários para usar todo o solo Da pergunta,

o peso do solo para o uso é de 12 kg. Isso é grama é 12.000 g

Agora, somos informados de que cada vaso deve receber 300 g de solo.

Portanto, o número de vasos que usarão todo o solo aqua será;

12.000 / 300 = 40

What is the length of segment AB?

Answers

Answer:

I think it's B

Step-by-step explanation:

The width, is 4, multiplied by the height, which is 5. You then take the square root of that number and voila.

The senior classes at Downingtown HS and West Chester HS planned separate trips to Top Golf. The senior class at Downingtown rented and filled 14 vans and 7 buses with 476 students. West Chester HS rented and filled 7 vans and 11 buses with 628 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Answers

Answer:

The van can carry 8 students

The bus can carry 52 students

Step-by-step explanation:

Assume that the number of students in each van is v and the number of students in each bus is b

∵ The senior class at Downingtown rented and filled 14 vans and

   7 buses with 476 students

∵ The number of students in each van is v

∵ The number of students on each bus is b

14v + 7b = 476 ⇒ (1)

∵ West Chester HS rented and filled 7 vans and 11 buses with

   628 students

7v + 11b = 628 ⇒ (2)

Let us solve this system of equations to find v and b

→ Multiply equation (2) by -2 to make the coefficients of v equal in

  the values and different in the signs

∵ -2(7v) + -2(11b) = -2(628)

-14v - 22b = -1256 ⇒ (3)

→ Now add equations (1) and (3) to eliminate v

∴ -15b = -780

→ Divide both sides by -15

b = 52

→ Substitute the value of b in equation (1) to find v

∵ 14v + 52(7) = 476

∴ 14v + 364 = 476

→ Subtract 364 from both sides

∴ 14v = 112

→ Divide both sides by 14

v = 8

The van can carry 8 students

The bus can carry 52 students

George wanted to go fishing over Spring Break. He called the Glowfish Fishing Company to rent a boat. They
told him he would have an initial deposit for $200 and collect $45 per hour for gas. Which equation would best
Represent how much the glowfish fishing company is collecting

Answers

Answer:

y=45x+200

Step-by-step explanation:

he is paying 45 dollars an hour plus the 200 dollar flat fee

Find the missing y value of the the coordinate (3,____) so that it is on the line y = 6x -3.
Group of answer choices

1

15

21

6

Answers

Answer:

y = 15

Step-by-step explanation:

=> x = 3

=> y = 6x - 3

=> y = 6(3) - 3

=> y = 18 - 3

=> y = 15

What is the square root of -1?

Answers

9514 1404 393

Answer:

  i

Step-by-step explanation:

The square root of -1 is the number that, when multiplied by itself, gives the product -1. It does not have a numerical value in the same way that the root of a positive number has a numerical value. It can only be represented by a symbol of some sort: √(-1) or i.

  i² = -1

In some fields, the letter j is used instead (because i already stands for something different).

  i = √(-1)

  j = √(-1) . . . in electrical engineering (at least)

Please help . I am suffering right now

Answers

Answer:the work has a virus

Step-by-step explanation:

show us a picture; 2= def of midpoint

solve
please help me.

Answers

Answer:

x ≥ 3

Step-by-step explanation:

What is the y-intercept of the line defined by
y = 6x - 4

Answers

Answer:

b = -4

Step-by-step explanation:

In y =mx+b form, the y-intercept is b, which in this case is -4.

The power of the input variable, x, of the function is 1, therefore, the

function is a linear function.

Correct response:

The y-intercept is -4

Method used to find the y-intercept

The function defining the line is; y = 6·x - 4

The function is a linear equation of the form; y = m·x + c

Where;

m = The slope

c = The y-intercept

By comparison, we have;

The y-intercept of the straight line function; y = 6·x - 4 is -4

The y-intercept can also be obtained as follows;

The y-intercept is the value of the function when x = 0

Therefore;

y-intercept = y = 6 × 0 - 4 = -4

Learn more about linear equations here:

https://brainly.com/question/3889458

3a²+2a-5 - 2a²+a+6 ​

Answers

Your answer is 3a - 11

If this isn't correct then I must've messed something up, but it should be right.

please please please help me. I would be really appreciative.

Fill in the blank to complete the equation below.

21 + 24
= 3(7 + ___)

Answers

the answer 3(7+8) because 3 times 7 is 21 and 3 times 8 is 24

What’s the measure of ACD

Answers

Answer:

option H, 130°

Step-by-step explanation:

In order to find the measure of ∠ACD, first find the measure of ∠ACB

∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)

∠ACB + 95° + 35° = 180°

∠ACB + 130° = 180°

∠ACB = 180° - 130°

∠ACB = 50°

∠ACD + ∠ACB = 180° (linear pair)

∠ACD + 50° = 180°

∠ACD = 180° - 50°

∠ACD = 130°

therefore, option H is the correct option

hope it helps you!

A recipe for pie dough calls for a ratio of butter to flour of 2/3
: 1 3/4
. If you plan to use 7 cups of flour, how much butter should you use to keep the same ratio?

Answers

Ratio of butter to flour that is to be used for making pie dough is :-

[tex] = \frac{2}{3} : 1 \frac{3}{4} [/tex]

Number of cups of flour I am using = 7 cups of flour

Number of cups of butter I need to use :-

Let x be the quantity of butter needed .

[tex] = \frac{2}{3} : \frac{7}{4} :: x : 7[/tex]

[tex] = \frac{2}{3} \times 7 = \frac{7}{4} x[/tex]

[tex] = \frac{14}{3} = \frac{7}{4} x[/tex]

[tex] = \frac{7}{4} x = \frac{14}{3} [/tex]

[tex] = x = \frac{14}{3} \div \frac{7}{4} [/tex]

[tex] = x = \frac{14}{3} \times \frac{4}{7} [/tex]

[tex] = x = \frac{56}{21} [/tex]

[tex] = x = \frac{8}{3} [/tex]

Therefore , this recipe would need :-

[tex] \frac{8}{3} \: or \: 2 \frac{2}{3}\: cups \: of \: butter \: .[/tex]

Answer:2&2/3

Step-by-step explanation:

the cost of printing 200 business cards is $23.The cost of printing 500 business cards at the same business is $35. Write a linear equation for this information. And to print 700 business cards would cost $

Answers

Answer:

Step-by-step explanation:

The price for printing 700 cards is $15+$700/25 = $43.

Explanation:

We need to MODEL the cost based on the number of cards printed. We will assume that there is a FIXED price

F

for any job (to pay for setup etc.) and a VARIABLE price

V

which is the price to print a single card. The total price

P

will then be

P

=

F

+

n

V

where

n

is the number of cards printed. From the problem statement we have two equations

Equation 1:

23

=

F

+

200

V

and

Equation 2:

35

=

F

+

500

V

Let's solve Equation 1 for

F

F

=

23

200

V

and substitute this value for

F

into Equation 2.

35

=

23

200

V

+

500

V

Now solve this for

V

.

12

=

300

V

V

=

1

25

We can put this value for

V

into Equation 1 and solve for

F

.

23

=

F

+

200

25

F

=

15

So our model equation is

P

=

15

+

n

25

.

Let's check our answer with the data in the problem.

15

+

200

25

=

23

15

+

500

25

=

35

So we have the correct model equation.

Now use the model to predict the price of printing 700 cards.

15

+

700

25

=

43

.

The price for printing 700 cards is $43.

Note that the price for printing 700 cards is NOT the same as the price for printing 200 cards plus the cost for printing 500 cards! See if you can figure out WHY?

Find the slope of the line that passes through the points
(2, 1) and (-1,-1).
PLEASE HELP!!

Answers

Answer:

(-2,-3)

Step-by-step explanation:

You place your points in (X1, Y1) and X2, Y2) format

You'll line your numbers up as

2-1 divide it by -1-(-1)

You'll get your answer.

I need help please quickly

Answers

Answer: Yes it is The simplified form is explained easily.

Answer:

Yes................

HELP ME QUICK PLEASE!! How much interest is accrued on a $1200 loan at a rate of 6% for 3 years?

Answers

Answer:

$216-

Step-by-step explanation:

The girls’ soccer team scored 60 points in 10 games. If this trend were to continue, what would be the points scored in 15 games?

Group of answer choices

Answers

Answer:

In 15 games the score would be 90 points.

Answer:

90

Step-by-step explanation:

60÷10=6,averaging 6 points a game, 6×15=90

Please help which one

Answers

Answer:

the answer is c

there you go bud

Which expression is equivalent to 56 + 21?
07(49 + 14)
8(7 + 21)
8(48 + 13)
07(8 + 3)

Answers

Answer:

07(8 + 3) is the right answer

please help


Given <triangle> ABC is congruent to <triangle> XYZ, and m< A is 50°, m<Z is 40°, what is the m<B

90°
80°
70°
60°​

Answers

Answer:

90°

Step-by-step explanation:

Since triangles ABC and XYZ are congruent, the corresponding angles are equal. m<A=50°, m<Z=m<C=40°

In a triangle, all internal angles sum upto 180°

m<A+m<B+m<C = 180°

50°+m<B+40°=180°

m<B=180°-90°=90°

Select the values that make the statement true.
n1
100 = d = p%
n =
d =
P =
It is a drop down Menu and i get is something Different Question can you help me plz

Answers

Answer:

5

20

5

Step-by-step explanation:

i did it on the assigment

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of 65 along with an hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than 250, and he wonders how many hours of work he can afford.
PLZ HELP WILL GIVE BRAINLIEST AND LOTS OF POINTS

Answers

He will can afford 6 hours, because 6•28 is 168, and then u add the starting fee (60) and u get 228, if he would spend one more hour he would go over his budget!

Step-by-step explanation:

anand can afford at most 6 hours

Basic Charge = $ 65

Rate per hour = $ 28

Number of hours = H

Rate for H hours = 28 *H = 28H

Equation:

65 + 28H ≤ 250

please help me to answer this all thankyou​

Answers

Answer:

Step-by-step explanation:

1. x - 2 = 0 and x -9 = 0 are the individual equations for the factors (x-2)(x-9) = 0 set equal to zero in order to find the solutions.

2. x = 2 would make (x-2) = 0 true and x = 9 would make (x-9) true.

3. If you plug the x-value back into the equation, it should equal zero.

4. The solutions to the equations are the opposite signs of the integers in parenthesis because they are the zeroes (solved for x).

5. No because x-2 = 0 and x-9 = 0 give you the zeroes, while the other equation indicates distribution.

6. (x-2)(x-6) = 0 are the factors. The zeroes, 2 and 6 are the solutions to them.

Javier works 2 2/5 hours on Monday and 3 hours on Tuesday. His pay rate is $10.25 per hour. How much will be paid, in dollars for working on Monday and Tuesday?​

Answers

Answer:

20 dollers and 50 cents

ASAP please answer both correctly will mark brainliest

Answers

Answer:

X  0  1   2  3

Y  1   2  3  4

X  0  1   2  3

Y  3  1  -1  -3

The measure of one angle of a triangle is 28 more than the measure of the smallest angle of the triangle. The measure of the third angle is twice the measure of the smallest angle. Find all three measures and classify the triangle by angles.

Answers

9514 1404 393

Answer:

38°, 66°, 76°acute triangle

Step-by-step explanation:

Let x represent the smallest angle. Then the other two angles are (x+28) and 2x. Their sum is ...

  x + (x+28) +(2x) = 180

  4x = 152 . . . .  subtract 28

  x = 38 . . . . . . .divide by 4

  x+28 = 66 . . . find the other angles

  2x = 76

The three angles are 38°, 66°, 76°. The largest angle is acute, so it is an acute triangle.

i'll mark ur answer as brainlist.

4) A baby bear is born and weighs only 12 ounces. The baby rebounds to weigh 57 pounds after one year. What was the bear's growth rate per month? Per week? explain ur answer, pls.

Answers

Answer:

75 oz / 1 month,    17.308 oz / 1 week

Step-by-step explanation:

baby = 12 oz

1 year = 57 lbs

1 lb = 16 oz

difference between 1 year and birth = ( 57 lbs ) * 16 - ( 12 ) = 900 oz

growth rate = 900 oz / 1 year   -->   75 oz / 1 month   -->   17.308 oz / 1 week

Peter made a deposit into an account that earns 6% simple interest.Peter earned $500 after four years.How much was his initial deposit?

Answers

Answer:

$120

Step-by-step explanation:

Formula of simple interest: I = P x R x T / 100

P (investment) = $500

R (rate) = 6%

T (time) = 4 years

500 x 6 x 4 = 12000 / 100

I = $120

         

What is the range of the function?

Answers

Answer:

(-infinity, +infinity)

Step-by-step explanation:

Looking at the graph does it ever really end?

This would conclude that there is a infinite value of X’s and Y’s which then gets you the infinite range of (-infinity, +infinity).

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