The theater group sold adult and student tickets for the play. They sold a total of 560 tickets. Each adult ticket was $8 and each student ticket was $3.50. The group took in a total of $3166. How many of each type of ticket was sold for the play?

Answers

Answer 1

Answer:

268 adult and 292 student tickets sold

Step-by-step explanation:

a = number  adult tickets sold

s =  number student tickets sold

a + s = 560

8a + 3.50s = 3166

a = 268 adult tickets

s = 292 student tickets


Related Questions

A 2-yard piece of linen cost $34.48 what is the cost per foot

Answers

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

PLSSS HELP HURRRYYYYY (100 POINTS ) CLICK ON THE PICTURE

Answers

Answer:

D. y, because ΔJHK ~ ΔLMK.

The triangle is tilted and has the same angle and sides.

ΔJHK matches with ΔLMK fully.

Answer:

the last one : y

Step-by-step explanation:

the angle KML means the angle at M.

JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.

one angle is 90°. the second angle is 65°.

that leaves the third angle to be y (or actually 25°).

HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Triangle ABC is congruent to another triangle. Provided is some information about the two triangles, segment AB
is congruent to segment AL and segment CA is congruent to segment GA. From this information determine
the triangle congruence statement.

Answers

hoooppe this helps <33333


A square is dilated by a scale factor of 3/5
to create a new square. The area of the new square is

Answers

Answer:

1 and 1/5

Step-by-step explanation:

if you add the numerator and leave the denominator you'll get that its basically just 6/5

Henry correctly factored 4x^(2)+5x-6 as (4x-3)(x+2). He then claimed that the zeros of that quadratic function are located at x=-(1)/(2) and x=2. Did Henry correctly find the zeros of the function?

Answers

Answer:

I believe Henrey is wrong

Step-by-step explanation:

because the roots of the quadratic function are

"(x= 3/4, -2)."

Help


How do you find the sum of the exterior angle measures of any convex polygon?

If the polygon is regular, how do you find the measure of each exterior angle in the polygon?

Answers

Answer:

See below

Step-by-step explanation:

The sum of exterior angles is 360° regardless the number of sides.

Each exterior angle of n-sided polygon is:

360°/n
Every polygon has fixed sum of exterior angles i.e 360°.

If no of sides be s

Measure of each exterior angle

360/s

Write the equation of the line in standard form with y-intercept
of 7 and passes through the point (1,5).

Answers

Answer:

2x+y=7

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 7 and passes through the point (1,5)
We want to write the equation of this line in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal zero, and a cannot be negative
To start, we can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are given that the y intercept is 7, so we can plug it in as b into the equation.
Here is the equation of the line so far:
y=mx+7
Now we need to find m

as the equation passes through the point (1,5) we can use it to help solve for b.

Substitute 1 as x and 5 as y into the equation.

5=m*1+7

Multiply

5=m+7

Subtract 7 form both sides

-2=m
Substitute -2 as m into the equation

y=-2x+7

This is the equation in slope-intercept form

However, remember that we aren't done, as the problem wants us to have the equation in standard form

In standard form, the terms containing x and y are on the same side; right now, they are on opposite sides.

So we can add -2x to both sides in order to move it to the left side

y=-2x+7

+2x +2x

______
2x + y = 7

This is the equation of the line in standard form.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/8829271

George put apples into bags to sell at the farmers market. He put 5 apples into each bag. He had 45 apples altogether. How many bags did he fill.

Answers

Answer:

9 bags and is this from a second-grade textbook?

Step-by-step explanation:

Answer:

9 bags

Explanation

all you have to do is divide 45 by 5 and you get 9.

Determine the quadrant and the coordinates of the given points.

Give the answers of Point A-J

Answers

A: (-4,1), B(1,-3), C(0,2), D(5,0), E(-3,6) F(-4,-5), G(0,-4), H(2,4) I(-2,3), J(5,-2)
Quadrant 1: D, H
Quadrant 2: A, I, E
Quadrant 3: F
Quadrant 4: B, J
on the x axis: D
On the y axis: G, C

1) Given that the function graphed is f(x), what is f(9)?
es
A) 7
B) 9
C) 11
D) 13

Answers

The correct answer is B) 9
It is b because fx equals f9

what is the volume of a triangular prism that has a height of 6 in a triangle base that measures 6 in on both sides and a height of 5.20 in

Answers

Answer: 93.6 cubic inches

Step-by-step explanation:

Volume = lwh/2.

So V = (6 * 6 * 5.2)/2 = 93.6

6a^3b-1 . 2a^4b^2 I need help with my math​

Answers

Answer:

this might help

Step-by-step explanation:

Simplifying

2a + 4b + 6a + -3b = 0

Reorder the terms:

2a + 6a + 4b + -3b = 0

Combine like terms: 2a + 6a = 8a

8a + 4b + -3b = 0

Combine like terms: 4b + -3b = 1b

8a + 1b = 0

Solving

8a + 1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

8a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0

8a + 0 = 0 + -1b

8a = 0 + -1b

Remove the zero:

8a = -1b

Divide each side by '8'.

a = -0.125b

Simplifying

a = -0.125b

2x^2+8x=24
Resuelve la siguiente ecuacion

Answers

Answer:

x =  2 x = - 6

Step-by-step explanation:

2x^2 + 8x = 24

subtract 24 from both sides

(restar 24 de ambos lados)

2x^2 + 8x -24 = 0

find the common: 2

(encontrar lo común: 2)

2(x^2 + 4x - 12) = 0

2(x-2) (x+6) = 0

x = 2

x = - 6

Find X please I really need help. Explain the best you can! Thanks!

Answers

3x+45=90
3x=90-45
3x=45
3x/3=45/3
x=15

can someone please help me with this

Answers

Step-by-step explanation:

WYXV is quadrilateral.

the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)

ABCD is a rectangle.

AB and CD are parallel and equally long. and C is 90°.

that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.

PQSR is a parallelogram.

PQ and RS are parallel and equally long.

that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.

Formula for trapezium?

Answers

Answer: you again…

It’s half the height times a + b

(Top length and bottom length)

Step-by-step explanation: there you go

Jorden has 28 golf balls. Of the 28 golf balls 1/7 are yellow. How many balls are yellow?

Answers

Answer:

4

Step-by-step explanation:

Are yellow 1/7 in a percentage of 28=4

Answer:

4

Step-by-step explanation:

Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.

28/7=4

Therefore, 4 of the golf balls are yellow.

Have a nice day! :)

Determine whether the given binomial is a factor of the polynomial p(x) . p(x)=x^ 3 +2x^ 2 -x-2;(x+2)

Answers

Answer:

[tex](x + 2)[/tex] isn't a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex].

Step-by-step explanation:

By the Factor Theorem, for any constant [tex]a[/tex], [tex](x - a)[/tex] would be a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]x = a[/tex] is a root (a zero) of that polynomial ([tex]p(a) = 0[/tex].)

In other words, [tex](x - a)[/tex] is a factor of polynomial [tex]p(x)[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]p(x)\![/tex] with the constant [tex]a[/tex] would yield [tex]0[/tex].

For example, in this question, [tex](x + 2)[/tex] could be rewritten as [tex](x - (-2))[/tex] (value of the constant is [tex]a = (-2)[/tex].)

By the Factor Theorem, [tex](x - (-2))[/tex] would be a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] evaluates to [tex]0[/tex].

Replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] gives:

[tex](-2)^{3} + 2\, (-2)^{2} - (-2) - 2[/tex].

Simplify:

[tex]\begin{aligned}& (-2)^{3} + 2\, (-2)^{2} - (-2) - 2 \\ =\; & (-8) + 8 + 2 - 2 \\ =\; & 0\end{aligned}[/tex].

Since [tex]p(-2) = 0[/tex], [tex](x - (-2))[/tex] (or equivalently, [tex](x + 2)[/tex]) is indeed a factor of the polynomial [tex]p(x)[/tex].

A value that is considerably larger or smaller than most of the values in a data set is called
A. Bias
B. Mode
C. Outlier
D. Confounder

Answers

Outlier for sure yes i'm so smart

I'm struggling to solve this.
I'm told to solve for i,
9x- 7i < 3 (3x -7u)

Answers

Answer:

i > 3u

Step-by-step explanation:

Let's solve for i.

9x−7i<3(3x−7u)

Step 1: Add -9x to both sides.

−7i+9x+−9x<−21u+9x+−9x

−7i<−21u

Step 2: Divide both sides by -7.

−7i ÷ -7 = -21u ÷ -7

Answer

i>3u

Jennifer wants to buy a necklace for her mother's birthd
8.50. She currently has $14.55.
hat percentage of the total does Jennifer have?

Answers

14.55 out of 48.50 is 30%

Step-by-step explanation:

find the measure of angle a round your answer to the nearest hundredth

35.54, 44.42, 45.58, 54.46

Answers

A

You find the missing side with Pythagorean theorem then you use law of cosines.

Answer: 35.54

Step-by-step explanation:

What is the probability of rolling a "3" on two consecutive rolls of a fair 6-sided die?
A. 1/3
B. 1/36
C. 1/2
D. 1/6

Answers

Answer:

B or D

Step-by-step explanation:

if it is two die being rolled it's B. but if it's one die being rolled it's D.

1/4(4x + 12) + 1/2x + 1 + 3/2x. Due today

Answers

Answer:

12x+16/4

Step-by-step explanation:

Answer: 3x + 4

You want to simplify the expression. So 1/4(4x + 12) + 1/2x + 1 + 3/2x simplified is 3x + 4.

Step-by-step explanation:

Hope this helps =)

Which one isn't equal to the rest? A.2% of 150. B.3/4% of 400 C.5% of 60. D.6% of 50

Answers

Answer:

So B is different

Step-by-step explanation:

A=3

B=300

C=3

D=3

How many solutions does the following equation have? 5 x + 8 − 7 x = − 4 x + 1 5x+8−7x=−4x+15, x, plus, 8, minus, 7, x, equals, minus, 4, x, plus, 1 Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions

Answers

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

A rectangular box is 5 cm long and 6 cm wide. How many cubical packets each of 1 cm^3 can be placed on the floor of its base? If 10 layers of such packets are placed on the floor, how many packets are there?​

Answers

a. The number of cubical packets on the floor is 30.

b. the number of cubical packets in 10 layers is 300 layers.

Length of cubical packet

Since the volume of each cube is 1 cm³ and the volume of a cube V = L³ where L = length of side,

So, L = ∛V = ∛1 cm³ = 1 cm

So, the sides of the cubes are 1 cm long

Volume of layer

Also, since the rectangular box is 5 cm long and 6 cm wide, to find the number of 1 cm³ cubical boxes that can be placed on the floor, we find the volume of that layer which is V = 5 cm × 6 cm × 1 cm = 30 cm³

Number of cubical packets on the floor

The number of cubical packets on the floor is 30.

So, the number of cubical packets required, n = volume of layer/volume of cubical packet

= 30 cm³/1 cm³

= 30

The number of cubical packets on the floor is 30.

b. Number of cubical packets in 10 layers

The number of cubical packets in 10 layers is 300 layers.

If there are 10 layers, then the number of packets on the layers, N = number of layer × number of packets/layer

= 10 × 30

= 300 layers.

So, the number of cubical packets in 10 layers is 300 layers.

Learn more about cubical packets here:

https://brainly.com/question/1279713

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]

Answer 11 :-

We have,

[tex]\sf{HM = 5 cm }[/tex]

In square all sides of squares are equal

The perimeter of square

[tex]\sf{ = 4 × side }[/tex]

[tex]\sf{ = 4 × 5 }[/tex]

[tex]\sf{ = 20 cm }[/tex]

Thus, The perimeter of square is 20 cm

Hence, Option C is correct .

Answer 12 :-

We have,

[tex]\sf{MX = 3.5 cm }[/tex]

In square, diagonals are equal and bisect each other at 90°

Here,

[tex]\sf{MX = MT/2}[/tex]

[tex]\sf{MT = 2 * 3.5 }[/tex]

[tex]\sf{MT = 7 cm}[/tex]

Thus, The MT is 7cm long

Hence, Option C is correct .

Answer 13 :-

We have to find the measure of Angle MAT

All angles of square are 90° each

From above

[tex]\sf{\angle{MAT = 90° }}[/tex]

Thus, Angle MAT is 90°

Hence, Option B is correct .

Answer 14 :-

We know that,

All the angles of square are equal and 90° each

Therefore,

[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]

[tex]\sf{\angle{MHA = 90°/2}}[/tex]

[tex]\sf{\angle {MHA = 45°}}[/tex]

Thus, Angle MHA is 45°

Hence, Option A is correct

Answer 15 :-

Refer the above attachment for solution

Hence, Option A is correct

Answer 16 :-

Both a and b

The median of isosceles trapezoid is parallel to the baseThe diagonals are congruent

Hence, Option C is correct

Answer 17 :-

In rhombus PALM,

All sides and opposite angles are equal

Let O be the midpoint of Rhombus PALM

In ΔOLM, By using Angle sum property :-

[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]

[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]

[tex]\sf{\angle{ OLM = 55° }}[/tex]

Now,

[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]

OL is the bisector of diagonal AM

Therefore,

[tex]\sf{\angle{ PLA = 55° }}[/tex]

Thus, Angle PLA is 55° .

Hence, Option C is correct


Determine the values of A and B in each of the following

(1) (r’yA)) = xBy15
(2) (–2x4)3 = Bx9

Answers

Answer:

14 12 13 13 14 15 14 16 ,14 134444

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