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

PLEASE HELP!! What is the equation for the following graph?

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x = 4 :)

Step-by-step explanation:

Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?

Answers

Answer:

personally I believe its 6..

Step-by-step explanation:

10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6

Answer:

$203

Step-by-step explanation:

To find the cost he pays back you need to mulitply 200 x 3% x 6 months.

Because you can't multiply with different units, you convert them to the same unit. (Numeric form)

To convert, we divide 3% by 100 and get 0.03

6 MONTHs is equal to 1/2 of a year which is also 0.5.

Now that all of our numbers are using the same units, we can multiply.

200(0.03)(0.5)

200 x 0.03 is 6

6 x 0.5 is 3.

We need to add the total amount her brother pays her back and the interest.

He pays her $200 for the Tablet and gives her $3 for the interest.

200+3=203.

The deductions from Jennifer monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross pay, city income tax (CIT) of 1.2% of gross, social security, and Medicare. Her monthly net pay is $3,982.22. Find Jennifer's monthly gross pay

Answers

Answer:

$4,225.6

Step-by-step explanation:

Jenifer had the following deductions from her monthly pay

Federal income tax of $87

State income tax of 2.5% of gross pay

City income tax of 1.2% of gross pay

Jennifer monthly pay is $3,982.22

Therefore jenifer monthly gross pay can be calculated as follows

Let x represent the gross pay

x = 3982.22 + 87 + 1.2/100x + 2.5/100x

x = 3982.22 + 87 + 0.012x + 0.025x

x =4069.22 + 0.037x

Collect the like terms

x - 0.037x = 4069.22

0.963x = 4069.22

Divide both sides by the coefficient of x

x = 4069.22/0.963

x = 4,225.6

Hence Jennifer monthly gross pay is $4,225.6

Find the measure of the missing value in the
pair of similar polygons. (Shapes not drawn to
scale.)
17.5 ft
25 ft
25 ft
w
18 ft

Answers

Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

left triangle : right triangle

ratio = 25 : 17.5

The bottom sides are also in the same ratio.

ratio = 18 : w

Write a proportion by setting the ratios equal and solve for w.

25/17.5 = 18/w

Cross multiply.

25w = 17.5 * 18

25w = 315

w = 12.6

Answer: 12.6

help please fast

thanks​

Answers

Answer:

please send clear pic or canr help but make me brillantist

1. -1/32 2. n^11/m^2 3. -5h^3 4. 2c^3/7

Which graph shows the set of all solutions for the equation 7x + 2y = -14? (1 point)

Answers

Answer:

y=[tex]\frac{-7}{2}[/tex]x-7

Step-by-step explanation:

you didnt put a graph so this is the linear equation

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

Answers

Answer:

whats the question

Step-by-step explanation:

whats the question

Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

Took the test

What is the missing exponent? and the numerical answer

Answers

Answer:

? = -4

Step-by-step explanation:

I believe it is -4 because you multiple the exponents so 2*-4=-8.

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

A shark is swimming 70 feet below the
surface of the ocean. It dives down 9 more
feet to catch a fish. What is the shark's
location relative to the surface of the water?
Write the expression for this situation. Then
solve.

Answers

Answer:

He is 79 ft below the surface

Step-by-step explanation:

Answer:

79 feet below

Step-by-step explanation:

-70-9=-79

PLEASE HELP!
IMAGE DOWN BELOW!

Answers

Answer:

1. 11t

2.7w+28

3. 2c+11

4. 8n

5. 10r+15

6. 24−8g

7. 17d−9

8. 8g+7z

9. 23b

10. 2rs+1

11. 9f+9g

12. 4x+y

13. 21a+14

14. 21a+14

15. 6−3k

16. 18n+36

17. 9s+3t

18. 8a−12b

19. 11m+n

20. 2+6z

21. 8x+6y

22. 7hg−7

23. 4st+5

24. 2r+17

25. 7w+6

26. 3(c+2)

27. 8f−4g

28. 2+8q+3r

Step-by-step explanation:

there you go, sorry it took so long

Which inequality is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.5. Negative 1.5 greater-than 0.5 Negative 0.5 greater-than 0 Negative 1.5 less-than negative 0.5 One-half greater-than 0.5

Answers

Given:

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

[tex]-1.5<0.5[/tex]

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

[tex]-0.5<0[/tex]

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

[tex]-1.5<-0.5[/tex]

Hence, option C is correct.

One half is equal to 0.5.

[tex]\dfrac{1}{2}=0.5[/tex]

Hence, option D is incorrect.

Answer:

C

Step-by-step explanation:

Question Progress
Homework Progr
16
0
Work out
5-2x 38
Give your answer as a decimal.

Answers

5 - 2 times 38 is -71.
Have a nice day

can someone pls help with this i need help since Friday

Answers

Answer:

I'm pretty sure that A is right.

Step-by-step explanation:

They share a side, making them equal.  It is also shown that RQ and SR are equal.  This means that, for SAS, all you need is the angle in between them.

I hope this helps!

30 is what percent of 125? Please help

Answers

Answer:

24%

Good Luck!!!

Answer:4.85

Step-by-step explanation:

Mai biked 634 miles today, and Noah biked 472 miles.
How many times the length of Noah's bike ride was
Mai's bike ride?

Answers

Answer:

1.34 times the length of Noah's bike ride

Step-by-step explanation:

634/472

1.34322033898

1.34

1.34 times the length of Noah's bike ride

State the slope and the y-intercept for the graph of the equation, y = -3x - 2 * 1 point A) Slope = -2; y-intercept = -3 B) Slope = 2; y-intercept = 3 C) Slope = -3; y-intercept = -2 D) Slope = 3; y-intercept = 2

Answers

Slope = -3
Y intercept = -2
I don,t I wish I could help but maybe us Socratic

write 4.9 × 10^5 in standard form

Answers

Answer:

30.7

Step-by-step explanation:

Gcf of 16abc^2, 28abc

Answers

Answer:

4abc..............................

please answer If I get this right I'm done for the week I will give brainiest if you're right!!!
Lots of points

Use cross products to demonstrate whether or not the two ratios are equivalent: 4/6 and 14/21

Answers

Answer:

The answer is true.

Step-by-step explanation:

[tex] \frac{4}{6} = \frac{14}{21} \\ 84 = 84[/tex]

Because the last equation, 84=84, is true, then the ratios are true.

-3/4x≤12
what are the steps to solve this??

Answers

Answer:

x≥-16

Step-by-step explanation:

-3/4x≤12

Multiply each side by -4/3, remembering to flip the inequality

-4/3 *-3/4x≥ -4/3 *12

x≥-16

Answer: x ≥ -16

Step-by-step explanation:

Divide both sides by -3/4 to get x alone.

When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.

-3/4x ≤ 12

Divide both sides by -3/4:

x ≥ -16

Hope this helps!

Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)

Answers

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________

2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________

3. 6y
6 is a(n) ___________________
y is a(n) ___________________







TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.

1. Three less than “x” is equal to 13. ________________________



2. The product of 9 and “m” is 45. ________________________



3. A number divided by 6 is 18. ________________________



4. A number plus 17 is 25. ________________________



5. Seven times a number is 28. ________________________



6. A number divided by 7 is 9. ________________________



7. A number minus 12 is 20. ________________________




8. The quotient of “y” and 3 is 25. ________________________



9. One-fifth of “r” is 15. ________________________



10. Six less than 2 times “y” is 34. ________________________



11. Five more than “n” is equal to 9. ________________________



12. A number increased by 3 is 19. ________________________




13. The difference of “p” and 7 is 30. ________________________



14. Fifteen multiplied by “k” is 75. ___________________________



15. The sum of 3y and 5 is 47. ________________________


Answers

Answer:

1. coefficient,variable, constant

2. variable,coefficient,variable

3. coefficient, variable

Translations:

1. x-3=13

2. 9m=45

3. x/6=18

4. x+17=25

5. 7x=28

6. x/7=9

7. x-12=20

8. y/3=25

9. r/5=15

10. 2y-6=34

11. 5+n=9

12. x+3=19

13. p-7=30

14. 15k=75

15. 3y+5=47

Need help with 5-8 with working out will be marking brainliest

Answers

Answer:

hope to have helped you:)

Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)

Answers

Answer:

Step-by-step explanation:

a. If you want a return of 17 percent, how much will you pay for the stock?

The price of the stock can be calculated as:

= dividend next year/(required return - growth rate)

= 4.4/(17% - 5%)

= 4.4/12%

= 4.4/0.12

= 36.67

b. If you want a return of 10 percent, how much will you pay for the stock?

At 10%

= 4.4/(10% - 5%)

= 4.4/5%

= 4.4/0.05

= 88

Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours (in excess of 40 hours). What was his gross pay?

Answers

Answer:

$430

Step-by-step explanation:

Total hours worked by Michael = 42 hours

hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour

thus,

Michael worked 2 hours overtime.

money paid for working 1 hour in regular pay = $10.00

money paid for working 40 hour in regular pay = $10.00*40 = $400

lets calculate money paid to him for over time

given

Michael is paid 1 1/2 times his regular pay for overtime hours

Money paid for overtime for 1 hour =  1 1/2 *money paid for working 1 hour in regular pay

Money paid for overtime for 1 hour = 3/2 *$10 = $15

Money paid for 2 hours work overtime = $15*2 = $30

Thus,

gross pay for 42 hours work for Michael = $400 + $30 = $430

A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98

Answers

The answer is D. 11x+43=98

Evaluate the function for x = 3 * f(x) = x2 – 2x + 6 O x=9 O x = 6 O x=21 O x = 4​

Answers

Answer:

When you input values for x, you can determine a single output for y. ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. ... perimeter, P = 4s, as the function p(x) = 4x, and the formula for area, A = x2, as a(x) = x2. ... in both cases, you substitute 2 for x, multiply it by 4 and add 1, simplifying to get 9

Step-by-step explanation:

got it off of google

Can you please help meeeeeeeee

Solve for x.

x2+6x+6=0

Enter your answers in the boxes.

x = or x =

Answers

Answer:

so x= -3+ root three

and x = -3- root three

You have to use the quadratic formula to solve

Joe earned $130 one week and $125.50 the next week. After depositing these amounts in his account, he had a total of $335.
How much was already in his account before he deposited the $130 and $125.50?

Answers

$79.5 was already in his account before he deposited the $130 and 125.50.

Answer:

79.50

Step-by-step explanation:

suma  130 mas 125.50 y el resultado de esta se los restas a el total.

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