Adult tickets to
the fall play cost $8 and student tickets cost $4. The drama class
sold 20 more adult tickets than student tickets to the fall play. If the class
collected $880 from
ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution is?

Answers

Answer 1
Substitution.
Adult tickets = A (cost $8)
student tickets = S (cost $4)

The drama class sold 20 more adult tickets than student tickets:
A = S + 20 (equation 1)

The class collected $880 from tickets:
8A + 4S = 880 (equation 2)

How many adult tickets were sold?
A = S + 20
8A + 4S = 880

we substitute the first equation into the second:
8(S+20) + 4S = 880
8S + 160 + 4S = 880
12S = 720
S = 60

Next we find the adult tickets by substituting back:
A = S + 20
A = 60 + 20
A = 80

Check our answer by substituting our answers in equation 2:
8A + 4S = 880 (equation 2)
8(80) + 4(60) = 880
640 + 240 = 880
880 = 880

Related Questions

Which graph matches the equation ? 1 2 3 4 ? plzzzzzzzzzz help fast

Answers

Answer:

the 2nd one would be a good choice

The answer is:
Letter A.

HELP WILL MARK BRAINLIEST
Simplify the expression

Answers

Basically the simplified express is -x * (9y+1) please mark me brainliest

Step-by-step explanation:

xy + 2x

the step by step solution is on the picture above, if this helped, please mark as brainliest

Solve[tex]\frac{2}{3}[/tex](6x+30)=5(x+4)-2x


A: 6

B: O

C: All real numbers

D: No solution

Answers

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Hi there!

[tex]\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x[/tex]

Distribute 2/3 and 5 into the parentheses:

[tex]4x+20=5x+20-2x[/tex]

Combine like terms:

[tex]4x-5x+2x=20-20\\-x=0\\x=0[/tex]

I hope this helps!

Find the missing angle measures.

Y = 63

Z = ?

X = ?

Answers

Answer:

Step-by-step explanation:

y = 63    {Vertical angles are congruent}

y + z + 85 = 180   {Angle sum property of triangle}

36 + z + 85 = 180

      z + 121 = 180

               z = 180 - 121

z = 59

63 +  x = 130   {External angle  property of triangle}

       x   = 130 - 63

x = 67

The fifth term of a non liner sequence is 324.The term to term rule is multiply 3
Work out the second term of the sequence

Answers

Answer:

324 642

Step-by-step explanation:

Provide the missing statement and reasons for the following proof: Given: 9(x+6)−41=75Prove: x=629

Answers

The missing statement for the proof is;

Statement 3;S3 : 9x + 54 = 116

The missing reasons for the proofs are;

R1; Given

R2; Using Addition property of inequality

R3; Distributive property

R4; Using subtraction property of inequality

R5; Using Division property of inequality

The correct question can be found at https://brainly.com/question/25052574

We are given the equation;

9(x + 6) − 41 = 75

Step 2;

Using addition property of equality, we add 41 to both sides;

9(x + 6) - 41 + 41 = 75 + 41

9(x + 6) = 116

Step 3;

Using distributive property to distribute 6 over the items in the bracket to get;

9x + 54 = 116

Step 4; Using subtraction property of equality, we subtract 54 from both sides;

      9x + 54 - 54 = 116 - 54

       9x = 62

Step 5; Using division property of equality, we divide both sides by 9 to get;

      9x/9 = 62/9

       x = 62/9

Read more at; https://brainly.com/question/25052574

How do you do this? Am I corrdct

Answers

Answer:

1/20 is the correct answer

Step-by-step explanation:

65/100 diet

30/100 caffeine

Of the 65/100, 22 are caffeine free but that is unnecessary info for the question. The 22 caffeine free would fall under the 65/100 anyways.

So 65 + 30 = 95

100-95 = 5

5/100 simplified is 1/20

Yes, you are correct . Since we know 65 sodas are diet and 30 are caffeine-free.

65 + 30 = 95

What plus 95 equals 100?

95 + x = 100

Or 100 - 95 = 5

= 5/100

When 5/100 is simplified, it equals 1/20.

Information: The length of a rectangle is three times the width. A new rectangle is created by decreasing the length of the original rectangle by 9 feet and increasing its width by 4 feet. The area of the new rectangle is the same as the area of the original rectangle. What is the perimeter of the new rectangle?
Help,please:(​

Answers

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

can some one pls help me fill is the square pls help​

Answers

Answer:

52, 21, 94

Step-by-step explanation:

y=3(14)+10

73=3x+10

63/3=21

y=3(28)+10

=94

What is the tangent ratio of angle y?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Using Trigonometry :

[tex] \tan(y) = \dfrac{20}{21} [/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{20}{21}[/tex]

find the unknown angle​

Answers

Answer:

X&Y

Step-by-step explanation:

simple

very nice questions

Answer:

d: x equals 50 degrees and y equals 90 degrees

Step-by-step explanation:

thats the answer for the first one

find all of the zeros of
If f(x) = x3 + 13x2 + 32x + 20 and f(-10)=0
pls help with this problem !

Answers

Answer:

Step-by-step explanation:

Well you have one of the roots -- -10. Just by looking at it, -1 would seem to be another x intercept.

f(x) = (-1)^3 + 13(-1)^2 + 32(-1) + 20

f(x) = -1 + 13 - 32 + 20

f(x) = 0

So - 1 is also a root.

You should try -2

-2 * -10 - 1 = - 20

f(-2) = (-2)^3 + 13(-2)^2 + 32(-2) + 20

f(-2) =  -8 + 13 * 4 - 32(2) + 20

f(-2) = - 8 + 52 - 64 + 20

f(-2) = -72 + 72

f(-2) = 0

The zeros are

x = -10

x = -1

x = -2

find the equation of the straight line graph y= mx-6

Answers

Answer:

y = 1/2x - 6

Step-by-step explanation:

Key:

m = slope

b = y-intercept

Slope:

( 0 - - 6 ) / ( 12 - 0 )

( 6 ) / ( 12 )

1 / 2

y-intercept:

( -6, 0 )

Hopefully this helped!

Brainliest please?

what does x equal in the equation
-4(x-1) + 6x = 2(17-x)

Answers

Answer:    x = ¹⁵/₂

Step-by-step explanation:

since    -4(x-1) + 6x = 2(17-x)           [expand the bracket]

⇒         -4x +4 + 6x = 34 - 2x          [group like terms across the equal sign]

⇒      -4x + 2x + 6x = 34 - 4            [simplify like terms]

⇒                        4x = 30               [divide both sides by 4]

⇒                          x = ³⁰/₄               [simplify RHS to lowest possible fraction]

⇒                     x = ¹⁵/₂

Check:

-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))

                         19 = 19    ✅

By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?​

Answers

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

Answer:-

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Used Method :-

→ Prime Factorization Method

Answer:

11 is the least number and the when you take the square root of the number you get 21

Step-by-step explanation:

The easiest way to solve this problem is guess and check.

First of all, a perfect square NEEDS to be a WHOLE number

Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.

This means you cannot divide by 2, 4,8...etc

We just have to guess and check odd numbers starting at 3.

4581/ 3 = 1527                 sqrt(1527) = 39.07684737    decimal so not this one

4581/ 5 = 916.2               decimal so not this one

4581/ 7 = 654.4285714  decimal so not this one

4581/ 9 = 509                 sqrt(509) = 22.56102835     decimal so not this one

4581/ 11 = 441                  sqrt(441) = 21

This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.

Ann makes $132 for 11 hours. At the same rate, how much would she make fo 8 hours of work

Answers

Answer: She would make $96.00

#18 You withdraw $35.59
from your bank account.
Your balance is now -$20.45.
Write and solve an equation
to find out how much was
originally in your bank
account.

Answers

Answer:

$15.14

Step-by-step explanation:

-20.45+35.59 or 35.59-20.45

15.14

Trinity has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces. What is the length of each piece of ribbon?

Answers

The length of each piece be 3.25 inches.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.

Assume that the length of each piece be [x]. Then, we can write -

15x = 48.75

x = 48.75/15

x = 3.25 inches

Therefore, the length of each piece be 3.25 inches.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

Jill sold 4 times as many pails as Jack last month. If together they sold 250 pails last month, how many pails did each person sell last month.

Answers

4x +x =250
5x =250
X=(250/5)
X=50

6x – 3y = 8
7x = 5y + 2
—6у + 4х = 8
x + y = 2x + 3
DIRECTIONS:Rearrange each equation into slope-intercept form. Identify the slope and y-intercept

Answers

Answer:

Step-by-step explanation:

The linear equation where:

[tex]\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}[/tex]

Solution :

[tex]\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------[/tex]      

 [tex]\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------[/tex]  

    [tex]\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------[/tex]

[tex]\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3[/tex]

9/10 - (1/8-3/10)= please help me through steps

Answers

Answer:

43/40 or 1 3/40

Step-by-step explanation:

9/10 - (1/8 - 3/10)

Remember, we have to solve what's in the parentheses first!

To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.

Let's list the multiples of 8 and 10

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

Multiples of 10: 10, 20, 30, 40, 50, 60...

We found a match! 40 is a multiple of both 8 and 10, so we can use that.

To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.

So,

8 times what equals 40?

To make it easier, we can do 40 / 8, which is 5.

That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.

If you do the same thing for 3/10, you get 12/40.

Our equation is much easier!

We can easily do 5/40 - 12/40, which is -7/40.

Now, we do 9/10 - (-7/40)

Remember, two minuses right next to each other make a plus!

Our equation is now 9/10 + 7/40.

If you do the least common multiple for 9/10, you get 36/40.

Finally, we do 36/40 + 7/40, which is 43/40.

If it's asking for a mixed number, it would be 1 3/40.

Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!

Hope this helped :)

Solve -4(10 + 3x) - (x + 8) = -9. Check your solution.

Answers

Answer:

x = -3

Step-by-step explanation:

Given the equation,  -4(10 + 3x) - (x + 8) = - 9:

Distribute -4 into (10x + 3x), and - 1 into (x + 8):

-4(10 + 3x) - (x + 8) = - 9

-40 -12x - x - 8 = -9

Combine like terms:

-48 - 13x = -9

Add 48 to both sides:

-48 + 48 - 13x = -9 + 48

-13x = 39

Divide both sides by -13:

[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]

x = -3

Therefore, x = -3

Please mark my answers as the Brainliest if you find my solution helpful :)

The cinema charges x dollars for an afternoon show and an additional $3.00 to
see the 3D version. Write an expression to show the cost of five regular tickets
and three 3D tickets. Simplify the expression.

Answers

Answer:

5x+3(x+3) = 5x+3x+9 = 8x+9

Solve and explain: (7^-2)^3

Answers

First, do -2 x 3

and that will equal -6,

so your answer will be 7^-6

if you also want to solve 7^-6

it will be.... (Look at the photo)

>> Answer

__________

[tex] \: [/tex]

[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]

[tex] = {7}^{ - 2 \times 3} [/tex]

[tex] = {7}^{ - 6} [/tex]

[tex] = \frac{1}{ {7}^{6} } [/tex]

[tex] = \bold{\frac{1}{117.649}} [/tex]

What is 380.5 rounded to the nearest whole number

Answers

Answer:

It will be 381. You round up if it is five and over, and round down if 5 and below.

Step-by-step explanation:

A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.

Answer:

381

Step-by-step explanation:

any number 5 and over will round up

A line passes through the points (-2,-4) and (3, 5). Which equation best represents a line
parallel to this line?
A) y = -5/9x+ 4
B) y = 9/5x + 4
C) y = 1x + 4
D) y = -4/3x + 4

Answers

parallel means they have same gradient.

m=(y2-y1)/(x2-x1)
m=(5-(-4))/(3-(-2))
m=9/5

so the answer is B since the gradient also 9/5

The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

What is the equation of line?

The general equation of a straight line is

y = mx + c,

where m is the gradient, and y = c is the value where the line cuts the y-axis.

This number c is called the intercept on the y-axis.

Now it is given that the line passes through (-2,-4) and (3,5).

So here,

x1 = -2;

y1 = -4;

x2 = 3;

y2 = 5

Hence slope of the line is given as,

m1 = (y2 - y1)/(x2 - x1)

⇒ m1 = {5-(-4)}/{3-(-2)}

⇒ m1 = (5+4)/(3+2)

⇒ m1 = 9/5

Since both the lines are parallel, hence

m1 = m2 = 9/5

Therefore equation of line parallel to the given line will be,

(y - y1) = m2( x - x1)

⇒ {y-(-4)} = 9/5{x - (-2)}

⇒ y + 4  = 9/5(x +2)

⇒ y + 4  = 9/5x + 18/5

⇒ y = 9/5x + 18/5 - 4

⇒ y = 9/5x - 2/15

Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

More about line :

https://brainly.com/question/14200719

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help please, only look at the graphic

Answers

All I know is that it is acute and less than 51 degrees

Answer:

AOB is 39 degrees.

Step-by-step explanation:

Given that ∠DOE is 51 degrees we know that ∠AOE is 180 degrees as it is a straight line.

∠BOD is a right angle given the ∟symbol so therefore ∠BOD is equal to 90 degrees.

m∠DOE + m∠BOD = 141 degrees (because 51 + 90)

Therefore m∠AOB = 39 because 180 - 141 = 39

Straight angles are equal to 180! Hope this helped

simplify the following ??? reply me all off you ​

Answers

Answer:

29/8

You had to multiply and solve making lowest common multiple

Answer:

115/24

Step-by-step explanation:

first convert the mixed numbers to a whole fraction

then find the least common denominator which is 24

so 31 - 23 + 7 = 115/24

Need help photo above

Answers

Answer:

I think -1/3

Step-by-step explanation:

Its negative bc the line is moving from left to right

Take 2 points from the line.

At the origin, (0,0)

And (6,-2) a point in fourth quadrant

m = y2 - y1

x2 - x1

m = -2 - 0

6 - 0

m = -1/3.

The 3rd option is the correct option.

Write an equation to represent eachrelationship. SOLVE THE EQUATION 6 less than three times a number equals eighteen.

Answers

Answer:

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

Step-by-step explanation:

let the number be x

Now let us first set an equation

less than means - subtraction

3x - 6 = 18

Now let us solve the equation and find the value of x

3x - 6 = 18

Transpose

3x = 18 +6

3x = 24

x = 24 ÷ 3

x = 8

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

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