Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

The drama class sold blank adult tickets.

Answers

Answer 1

Answer:

60 adult tickets were bought.

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

  80 tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...

  8a +4(a -30) = 840

  12a -120 = 840 . . . . . . eliminate parentheses

  a -10 = 70 . . . . . . . . . divide by 12

  a = 80 . . . . . . . . . . . add 10

The drama class sold 80 adult tickets.

__

Check

The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...

  50($4) +80($8) = $200 +640 = $840 . . . . as required


Related Questions

One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.

Answers

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Write (-3,-9) and (4,-2) in slope intercept form

Answers

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

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

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

Covert fractions to percents
3/8=__

Answers

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

3 × 100 = 300300 ÷ 8 = 37.5

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

Clip 102
2
2
Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.

Answers

Answer:

Let's solve your system by elimination.

2a + 3c =66 ; 3a + 5c = 105

Multiply the first equation by 5,and multiply the second equation by -3.

5 (2a + 3c = 66)

−3 (3a + 5c = 105)

Becomes:

10a + 15c = 330

−9a − 15c = −315

Add these equations to eliminate c:

a = 15

Now that we've found a let's plug it back in to solve for c.

Write down an original equation:

2a + 3c = 66

Substitute 15 for a in 2a + 3c = 66:

(2)(15) + 3c = 66

3c + 30 = 66 (Simplify both sides of the equation)

3c + 30 −30 = 66 −30 (Add -30 to both sides)

3c = 36

3c3= 363 (Divide both sides by 3)

c = 12

Answer:

a = 15 and c = 12

Round off the decimal 55.345 to 2 decimal places.​

Answers

Answer:

Step-by-step explanation:

55.345 is rounded off two places therefore, the hundreths place

the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35

If GH is an altitude, what would mZGHF have to be?

Answers

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

QUICKEST 100 POINTS EVER!

Answers

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

What are the zeros of the following function?

Answers

Answer:

Hence , (a,0) is a zeros of a function

Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21

Answers

Answer:

SSS

Step-by-step explanation:

The triangles are similar according to SSS rule (side lengths)

You can check it by writing the following equation:

6/9 = 16/24 simplify both sides

2/3 = 2/3

HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO

An expression is shown below:

the square root of 18 plus the square root of 2

Which statement is true about the expression?

It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.

Answers

Answer: It is irrational and equal to 3 times the square root of 2.

Answer:

It is irrational and equal to 3 times the square root of 2.

Step-by-step explanation:

just like the other guy said

A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B
there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?

Answers

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...

1. BC=DA
how do i find the reason

Answers

Answer:

sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Add and simplify.
[tex]\frac{7}{27}\\\frac{1}{6}[/tex]

Answers

7
27
+
1
6
=
7
27
+
1
6
=
14
54
+
9
54
=
14
+
9
54
=
23
54

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

7/27 + 1/6 = 23/54

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.

7/27 • 2 = 14/54

1/6 • 9 = 9/54.

14+9=23 so the answer is 23/54 because it cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41

Answers

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:

Twice the sum of a certain number and 36 is 90?

Answers

Step-by-step explanation:

Let the number be x

According to the question

2(x+36)=90

2x+72=90

2x=90-72

2x=18

x=18/2

x=9

write the value of the underlined digit in words 6,302,450? 3 being the underlined number.

Answers

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5

Answers

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

Solve for x. SHOW ALL WORK

5(3x+4)−2x=7x−3(−2x+11

Answers

Answer:

x = -47/6

Step-by-step explanation:

Simplify both sides of the equation : 13x + 20 = 7x - 27

Subtract 7x from both sides : 6x + 20 = -27

Subtract 20 from both sides : 6x = -47

Divide both sides by 6 : 6x/6 = -47/6

Answer : x = -47/6

Please Help! Angle 3 is equal to angle __.

Answers

Answer:

Angle 5

Step-by-step explanation:

It is angle 5 because they are mirrored.

Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️

Answers

Answer:

The type of association between x and y are inversely proportional  

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

Previous Answer is Correct

4(x - 4) + 2x -10 and what the answer

Answers

Answer:

Expression: 6x - 26. Equation: 3

Step-by-step explanation:

EXPRESSION

4x - 16 + 2x - 10

6x - 26

EQUATION 1

4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)

4x = 2x + 6

2x = 6

x = 3

EQUATION 2

4x - 16 + 2x = - 10

6x - 16=  -10

6x = 6

x = 1

Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.

Answers

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

Please take a look at the picture

Answers

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

B is the answer to this question.

Describe the transformation of g(x)=4|x|

Answers

[tex]g(x) = 4 |x| = x = 0[/tex]

what is 282.74 in terms of pi

Answers

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

how to find the circumference with a diameter?​

Answers

Answer:

Multiply the diameter by pie which 3.14

Step-by-step explanation:

Solve. 3(x-6) - 8x = -2 + 5(2x+1)

Answers

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

find the slope from the pair of points (0,-5) (2,5)

Answers

Step-by-step explanation:

given points,

(0,-5) and (2,5)

we know,

slope = y2 - y1 / x2 - x1

→ 5 - (-5) / 2 - 0

→ 5+5/2 = 10/2

→ 5

therefore, slope of the line is 5.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

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