A total of 150 tickets were sold for the annual concert. Student tickets were $4 and non-students $8. If the total revenue was $840, how many tickets of each type were sold ?

Answers

Answer 1

Answer:

x = 90

y = 60

Step-by-step explanation:

Let x = student

Let y = non-student

x + y = 150

4x + 8y = 840 <—— Use elimination/addition ethos for both equations

8 (x + y = 150)

-1 (4x + 8y = 840) <—— Let’s eliminate y

8x + 8y = 1200

+ -4x - 8y = -840

—————————————

4x = 360

x = 90

x + y = 150 <— substitute for x from above

90 + y = 150

- 90 = - 90 <— subtract from both sides

y = 60


Related Questions

Question 2 - Find the nth term of the following
a) 10, 7, 4, 1
b 6, 4, 2,0
c) 9,4 -1,-6
d) 2.5, 2. 1.5, 1
Please help me quick

Answers

Answer:

nth term = 10 + (n - 1)-3

Step-by-step explanation:

a) 10, 7, 4, 1

First term,a = 10

Common difference,d = 7 - 10 = -3

nth term = a + (n - 1)d

nth term = 10 + (n - 1)-3

b 6, 4, 2,0

First term,a = 6

Common difference,d = 4 - 6 = -2

nth term = a + (n - 1)d

nth term = 6 + (n - 1)-2

c) 9,4 -1,-6

First term,a = 9

Common difference,d = 4 - 9 = -5

nth term = a + (n - 1)d

nth term = 9 + (n - 1)-5

d) 2.5, 2. 1.5, 1

First term,a = 2.5

Common difference,d = 2 - 2.5 = -0.5

nth term = a + (n - 1)d

nth term = 2.5 + (n - 1)-0.5

7(y + 6) = 21x + 14
Is this true or false?

Answers

Step-by-step explanation:

no false because can't be y and x in the same question

Answer:

No

Step-by-step explanation:

Because 7(y+6) = 7y + 42, not 7x + 42.

How would you solve a problem like this

Answers

Answer:

ΔGJH ≅ ΔEKF

HL: GH and EF

SAS: FK and JH (or GH and EF)

ASA: ∠JGH and ∠FEK (or ∠EFK and ∠JHG)

ΔGFJ ≅ ΔEKH

SSS: KH and FJ

SAS: ∠KEH and ∠FGJ

Step-by-step explanation:

List whatever angles/sides need to be congruent for the two triangles to be congruent.

Prove ΔGJH ≅ ΔEKF using....

- HL (Hypotenuse + Leg)

           We already have two legs that are congruent (EK and GJ), so we just need the hypotenuses (GH and EF) to be equal.

- SAS (Side + Angle + Side)

         1 pair of sides (EK and JG) are equal, and m∠EKF = m∠GJH. So we need one more side. You can either use FK and JH or GH and EF.

- ASA (Angle + Side + Angle)

         1 pair of angles (∠EKF and ∠GJH) are already given as equal, and 1 pair of sides (EK and GJ) are equal. We just need one more pair of angles. So either ∠JGH and ∠FEK or ∠EFK and ∠JHG.

Prove ΔGFJ ≅ ΔEKH using...

- SSS (Side + Side + Side)

          Two pairs of sides (EK + GJ and EH + FG) are equal, so KH and FJ need to be equal.

- SAS (Side + Angle + Side)

          FG + EH and KE + GJ are equal. We need to use the angle in between them to use SAS, so ∠KEH and ∠FGJ need to be equal.

how do you factor this?​

Answers

Answer:

Step-by-step explanation:

What two numbers multiply to equal -48, but add to equal -2? The method is multiplying a*c and seeing if they add up to b. Those two numbers are -8 and +6.

[tex]6x^2-2x-8=6x^2-8x+6x-8[/tex]

Now, factor by grouping

[tex](6x^2-8x)+(6x-8)=2x(3x-4)+2(3x-4)\\(2x+2)(3x-4)[/tex]

Linda made $270 for 18 hours of work.
At the same rate, how much would she make for 7 hours of work?
$

Answers

Answer:

105

Step-by-step explanation:

so you divide 270 by 18 hours to get 15 , so she gets paid £15 every hour

you times 15 by 7 = 105

Answer:

Linda would make $105 for 7 hours of work, she made the same amout of money per hour.

Step-by-step explanation:

270/18=15

15 x 7= 105

Which value(s) make(s) the inequality 1 3/4−p>1/2


true?


Select ALL that apply.


9/8




7/4




7/8


7 8


54


5/ 4


3/2




14

Answers

Answer:

9/8

5/4

Step-by-step explanation:

yan ang napili ko

Of the second grade students at Hirsch Elementary, 16/20 like stuffed animals. Of the students who like stuffed animals, 4/12 prefer shaggy ones. What fraction of second grade students like shaggy stuffed animals?

Answers

Answer:

4 / 15

Step-by-step explanation:

Fraction that likes stuffed animal = 16/20

4/12 of fraction who like stuffed animals prefer shaggy ones ;

Fraction of second grade that like stuffed shaggy animals ;

4/ 12 of 16/20

(4 /12) * (16 / 20)

(4 * 16) / (12 * 20)

= 64 / 240

= 4 / 15

(2x+4)(2x+4)-3
Written in polynomial standard form

Answers

Answer:

4x^2+16x+13

Step-by-step explanation:

Lacey deposited $4,860 in a new credit union savings account on the first day of the quarter. The principal earns 4% interest compounded quarterly for 6 months.(a) the amount

Answers

Answer:

$4956.23 approx

Step-by-step explanation:

Given data

P= $4860

R= 4%

T= 6 months = 0.5 years

Applying the compound interest formula we have

A=P(1+r)^t

Substitute

A=4860(1+0.04)^0.5

A= 4860(1.04)^0.5

A=4860*1.0198

A=4956.228

Hence the balance will be $4956.23 approx


If Allie gross pay is $4,086.31 per month. Allie wants to rent an apartment. She would like to
spend 27% of her monthly income on rent, how much can she afford to spend? Round your
answer to the nearest cent.

Answers

Answer:

1103.30

Step-by-step explanation:

A certain translation takes point D(-3,10) to point D'(-12,21).
What is the image of E(17,-9) under this translation?

Answers

Answer:

(8, 2)

Step-by-step explanation:

Subtract the two D points.

(-12) - (-3) = -9

21 - 10 = 11

Then, use it to translate.

(17,-9)

(x - 9, y + 11)

= (8, 2)

The image of E(17,-9) under the translation will be (8,2)

Concept:The D and D' points are given First we will subtract D' from D and we will get X pointsTo find translation of of point E we will add X to E point

How to solve this problem?

The steps are as follow:

Given

D(-3,10)

D'(-12,21)

To find X we will subtract D' from D

D'-D = (-12+3,21-10)

X(-9,11)

To find translation of E point we will add X points in E

E' = (17-9,-9+11)

E' = (8,2)

Therefore the image of E(17,-9) under the translation will be (8,2)

Learn more about translation here:

https://brainly.com/question/24850937

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Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.

Answers

Answer:

5 5/8 miles per hour

Step-by-step explanation:

Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.

We are asked to write the unit rate , this means we are to find out how many miles he can run per hour

Hence,

2/3 hour = 3 3/4 miles

1 hour = x

Cross Multiply

2/3 hour × x = 3 3/4 miles × 1 hour

x = 3 3/4 miles × 1 hour/ 2/3 hour

x = 3 3/4 ÷ 2/3

x = 15/4 ÷ 2/3

x = 15/4 × 3/2

x = 45/8

x = 5 5/8 miles per hour

400 time 30 divided by 50 equals

Answers

Answer:

240 is the awnser have a nice day

Step-by-step explanation:

please need help asap

Answers

Answer:

90

Step-by-step explanation:

Answer:

i dont know..

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

find the missing side of the triangle ​

Answers

Answer: a=c^2﹣b^2=152﹣132≈ 7.48331

Step-by-step explanation: 7.48331

Pleasee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

Hindi ko pa po alam solve nyan grade six palang po ako my apologies

Answer:

z = 40°

y = 40°

x = 121°

Step-by-step explanation:

121 + 19 = 140

180 - 140 = 40

z = 40

y = 40

x = 121

40 + 19 = 59

180 - 59 = 121

Question 1 of 25
f(x) = 3x2 + 6x - 5
g(2) = 4x3 – 5x2 + 6
Find (f + g)(2)
O A. (f +9) (c) = 4x + 3x2 + 112 +1
O B. (f +g)(x) = 723 + 2? + 1
O c. (f +g)(x) = -4x3 + 8x2 + 6x – 11
O D. (f +g)(x) = 4x3 – 2x² +63 +1

Answers

Answer:

D

Step-by-step explanation:

Give a decimal approximation of your answer to the second question using 3.14 to approximate pie. Answer for the second question: 112n cm^3. Answer choices: A. 154.68cm^3, B. 252.68cm^3, C. 351.68cm^3, D. 421.68cm^3

Answers

Answer:

C.

Step-by-step explanation:

It's 112 * 3.14

= 351.68 cm^3.

BRAINLY DON'T FAIL ME STOP SCROLLING AND ANSWER ME THIS IS THE LAST QUESTION ON A TEST I HAVE BEEN TAKING FOR 12 STRAIGHT HOURS PLZ TAKE THE TIME TO HELP ME PLEASE PLEASE

Answers

Answer:

Third option

Step-by-step explanation:

All the other ones have a certain proportion

1.-18(12)
2. -352 + -225

Answers

Answer:

1.-204.5 2.-557

Step-by-step explanation:

125 < 28 + 72 + 6x < 200

Answers

Answer:

The answer is 25/6 < x < 50/3

Step-by-step explanation:

Move all terms not containing  x  from the center section of the inequality.

hoped this helped!

Brainly, please?

5(y+2/5)=-13
what is y

Answers

Answer:

y=-3

Step-by-step explanation:

Simplify the expression by combining like terms.

-7p+15-2q +11q-2p-3

Answers

Answer:

12+9q−9p

Step-by-step explanation:

−7p+15−2q+11q−2p−3

Combine −2q and 11q to get 9q.

−7p+15+9q−2p−3

Combine −7p and −2p to get −9p.

−9p+15+9q−3

Subtract 3 from 15 to get 12.

−9p+12+9q

Answer: −9p+9q+12

Step-by-step explanation:

the contstants of the p and q variable will add up to 9 and the number will add to 12

Which 01 the following options best describes the zeros of the quadratic function above?
0) Imaginary zeros
() 2 real zeros
1 real zero and 1 Imaginary zero
f 1 real zero

Answers

Answer:

Option (1)

Step-by-step explanation:

Vertex form of the quadratic equation is given by,

y = (x - h)² + k

Where (h, k) is the vertex.

From the graph attached,

Vertex of the parabola is (0, 4).

Therefore, equation of the parabola will be,

y = (x - 0)² + 4

y = x² + 4

Function representing the parabola will be,

f(x) = x² + 4

For the zeros of the quadratic function we find the value of x where f(x) = 0.

x² + 4 = 0

x² = -4

x = ±√(-4)

Since, square root of a negative number is not defined, zeros of the function will be imaginary.

Therefore, both the zeros will be imaginary.

It's clear from the graph, there are no x intercepts of the function Or zeros are imaginary.

Option (1) will be the answer.

2a)Please choose how the triangles in part 1 above are similar.
1)SAS
2)SSS
3)ASA
4)AA

Answers

Answer:

1) SAS

2) AA

3) SSS

Step-by-step explanation:

Can someone help me thank you.

Answers

Answer:

7 groups of 9 and one group of 4    (total of 8 groups)

Step-by-step explanation:

Answer:

7 full groups, small group 4, total groups together 8

Ben bought 19 first class stamps at $0.39 each and 8 postcard stamps at $0.24 each. How much money did Ben spend?

Answers

Answer:

Ben spent $9.32 on stamps total

Step-by-step explanation:

19x0.39= 7.41 because it says he bought 19 of these and they each cost $0.39 so you just multiply the two

8x0.24= 1.92 because of the same reason for the other it says he bought 8 of these and each costs $0.24 so you just multiply the two which gets you 1.92

next you add together the two totals of the stamps which is 7.41 and 1.92

7.41+1.92= 9.32

Hello I have two questions for my math homework.

The first question is the attachment-

The second questions is- Mr. Candelaria estimates that the drama club sold 400 tickets to the school play. The drama club actually sold 462 tickets. Calculate Mr. Candelaria’s percent error.

TY!!!!

Answers

Answer:

Answers are listed :)

Step-by-step explanation:

1. -81/2 or -40.5

Both answers are correct forms I just didn't know if you wanted fraction or decimal form :)

2. Lots of answers for this one but ill give you mine: Mr. Candeleria probably rounded down his estimate number and in most cases like this you should round up.

Hope this helps :)

The solution is

a) The value of the equation is -40.5 or -81/2

b) Percentage error of Mr.Candelaria in estimating the tickets is 13.42 %

What is Percentage Error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

a)

Let the equation be represented as A

Now , the value of A is

A = ( 3 4/5 )x - ( 2 1/2 )

On simplifying the equation , we get

A = ( 19/5 )x - ( 5/2 )

when x = -10 , substitute the value of x = -10 , we get

A = ( 19 × -2 ) - 5/2

A = -38 - 5/2

A = -81/2

A = -40.5

Therefore , the value of A is -40.5

B)

The measured value = 400 tickets

The true value = 462 tickets

Now , the percentage error in estimating the tickets by Mr. Candelaria is given by the formula ,

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Substituting the values in the equation , we get

Percentage Error = [ | 400 - 462 | / 462 ] x 100

Percentage Error = [ | -62 | / 462 ] x 100

Percentage Error = 0.134199 x 100

Percentage Error = 13.419 %

Therefore , the percentage error is 13.42 %

Hence , the percentage error of Mr.Candelaria in estimating the tickets is 13.42 %

To learn more about percentage error click :

https://brainly.com/question/28746643

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3x + 6y = 24 solve for x

Answers

Answer:

x=8 y=4

Step-by-step explanation:

Im assuming that you are learning standard form and to solve for a variable you set the other value to 0.

3x+6(0)=24

3x=24

divide by 3

x=8

Answer:

I love algebra anyways

the ans is x=8−2y its in the picture and so is the steps

(hope that helped can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Solve for the variable: 15/2.1 = 12/c

Answers

Answer:

answer is C=1.68

im sorry if im incorrect

mark as brainliest if i helped you :)

Step-by-step explanation:

15/2.1 = 12/c
we cross multiply
12(2.1) = 15(c)
15(c) = 25.2
c= 1.68

hope this helps!
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