The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?

Answers

Answer 1

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288


Related Questions

2
A person that is 6 feet tall casts a shadow that is 2.5 feet long. At the same time, a 120 foot tall building casts a shadow. What is the length of the shadow?
feet

Answers

Answer:

The building's shadow is 50 ft

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{120}{x} \\\\6x=300\\x=50[/tex]

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.

3 kites are connected at 1 point.

Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?

Answers

Answer:

its 864

Step-by-step explanation:

lil uzi vert is the best ;)

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!

Answer:

c, 864

Step-by-step explanation:

on edgunuity i got it right

What is the result of the operation

Answers

Multiplication is the process of multiplying. The correct option is D.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The result of the given operation can be written as,

[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]

Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,

[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]

Solving the multiplication, we will get,

[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]

Hence, the correct option is D.

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Can you help me please?!

Answers

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages

Answers

Answer:

Elder brother: 25

Younger brother: 5

Step-by-step explanation:

38 - (4+4)= 30

Now trial all square numbers

e.g 2 + 4 = 6 (does not work)

5 + (5x5)= 30

The elder brother is 25 years old and the younger brother is 5 years old.

I need help ASAP I’m confused with this problem

Answers

Answer:

I believe it's A

Step-by-step explanation:

not sure but

solving a system of linear equations algebraically:

Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25

answer choices:
x=1

x=1.78

x=3

x=5.33

Answers

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

Evaluate 4x – 3 for x = -2.


Answers

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

It’s -11 I’m not sure but hope it help

-2(x+2)=1/4(-8x-4) how many solutions does this have

Answers

Answer:

It has no solutions.

-2(x+2)=1/4(-8x-4) \

You have to water it down like a normal equation.

-2x-4=-2x-1

& from here you can just tell it won't have any solutions since it is not equal.

Please help ill give BRAINLIEST!

Answers

Answer:

27 feet

Step-by-step explanation:

If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.

(brainliest pls)

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]

Answers

Answer:

Absolute Maximum: (0.2 , 80.2)

Absolute Minimum: (4 , 8 )

Step-by-step explanation:

 

The temperatures at 6:00 am one morning in four cities are given below.
Paris
-5 °C
Oslo
-12 °C
-3°C
London
Brussels
-1 °C
a) Which city was the warmest?
Brussels
b) Give the difference in temperature between Oslo and London.
°C
At 6:00 pm, the temperature in Paris was 3°C higher than at 6:00 am.
c) What was the temperature at 6:00 pm in Paris?
°C

Answers

Answer:

-9

Step-by-step explanation:

The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

(a)

A city which has the lowest temperature will be warmest since -1°C is the lowest so Brussels will have the warmest city.

(b)

The difference in temperature between Oslo and London will be as,

-12 °C - (-3 °C) = -9 °C.

(c)

At 6.:00 pm the temperature will be -5 °C + 3 °C = -2 °C.

Hence "The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C".

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Decide whether each statement is true or false. If a statement is true, say which of Euclid’s five postulates apply to it, then write the converse and contrapositive statements, and then decide which of these statements are true (it may help to rewrite the statements in “if-then” form). If it is false, give a counterexample or explain why.

a. A triangle can be drawn from any three points that are not on the same line.
b. A square can be drawn from any four points not on the same line.
c. When two lines intersect, the four angles they make add to 360 degrees.
d. There is only one parallel line to any given line.

Answers

Answer:

A) True

B) False

C) True

D) False

Step-by-step explanation:

A. This statement is True.

From euclid's postulates, if there are three straight lines that intersect each other another, and the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°, then it can be said that the other two straight lines will cross each other if they are both further extended on the same side of the figure in which the sum of the angles was less than 180° as we earlier said.

The converse statement is;

If three lines are drawn and two of the lines converge, then it means the third line can be drawn in such a way that the sum of the interior angles between this third line and the other two lines would be less than 180°.

The contrapositive statement is;

If the sum of the interior angles between the first line and the other two lines equals 180°,then it means that the other two lines will not intersect each other.

B. This statement is false.

The reason is because 4 sides of a square are always equal in length. As a result,all the 4 interior angles must be equal to 90°.

c. This statement is True.

From the first answer above, we saw that if there are three straight lines that intersect each other another, the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°.

Therefore, on the opposite side of the intersection, the sum of the adjacent angles would be equal to 180°

Thus;

180° + 180° = 360°

The converse statements is;

If two lines meet at a point then it means that the sum of the angles at that point equals 360°

The contrapositive statements is;

If the two lines do not meet at any point, then the sum of the angles on each straight line is 180°

d. This statement is False.

The reason is because there is not only one parallel line to any given line because a parallel line can be drawn from aso many points not even on the line in question.

Determine if the measurements below will create a triangle. Then, explain your thinking.
55°, 80°, 55°

Answers

Answer:

No, the measurements given cannot be used to create a triangle.

Explanation:

The sum of all the angles of a triangle should be 180°.

Here,

55°+80°+55°=190°

which is not equal to 180°.

So, the traingle cannot be formed using the given measurements.

Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6

Answers

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's look at A.

A simplified = 7x - 6

Let's look at B

B simplified = 2 + 7x

Let's look at C

C simplified = -6 + 7x OR 7x - 6

Let's look at D, lastly.

D simplified = 7x - 6

In conclusion, we can see that 7x - 6 is the answer we need to arrive at  to have equivalent expressions. Only B does not have that answer, so B is the answer.

Hope that helps!

Evaluate 7!4!/3!6! Simplyfy your answer

Answers

Answer:

28

Step-by-step explanation:

Steps 1 : for the top numerator 7!4! =

7! = 7×6×5×4×3×2×1

4!=4×3×2×1

step 2 : for the bottom denominator 3!6!

3!= 3×2×1

6!=6×5×4×3×2×1

step 3 : is to cancel out all number that looks like on numerator over denominator

it will leave you with 7 × 4 only on the numerator = 28

because all the number in the denominator will cancel out with some on the numerator .

I hope it helps

The simplified solution of the factorial expression (7!4!)/(3!6!) is 14/3.

The given expression is

(7!4!)/(3!6!)  

We can simplify it using properties of factorials.

First, let's expand each factorial:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

4! = 4 x 3 x 2 x 1

3! = 3 x 2 x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

Now, we can substitute these factorials into the original expression:

(7!4!)/(3!6!) = (7 x 6 x 5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1) / (3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)

Next, we can cancel out common factors from the numerator and denominator:

(7 x 4)/(3 x 2 x 1) = 28/6

Simplifying:

28/6 = 14/3

Therefore, the simplified solution to (7!4!)/(3!6!) is 14/3.

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The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation

Answers

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

X2 + 8x + y2 - 2y =64

Answers

i’m gonna assume it’s like this:
2x+8x+2y-2y=64
move 64 to the other side, becomes negative
2x+8x+2y-2y-64
=10x-64

work out 5×6 - 8 ÷2​

Answers

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

Find the are of the shape shown below

Answers

Answer:

32 units²

Step-by-step explanation:

The figure is the trapezoid

Trapezoid area formula:

A = 1/2(b1 + b2)h

Substitute values and solve:

A = 1/2(12 + 4)*4 = 32 units²

Just chillin' at the max 32-bit limit with two answers...

Answers

Answer:

I don't understand what the question issssss


Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many square
centimeters of cloth does Mary have?

Answers

Answer:

108 sq cm

Step-by-step explanation:

18x12 = 216

216/2 = 108

Factor the polynomial completely.

4x3 – 12x2 + 7x – 21
4x2(x – 3) + 7(x – 3)
Which is the completely factored polynomial?

4x2(x + 4)
3x2(x – 3)
(4x2 – 7)(x + 3)
(4x2 + 7)(x – 3)

Answers

Answer:

2x(2x2 -6x) + (7x - 21)

Step-by-step explanation:

4x3 - 12x2 + 7x -21

Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)

Answers

here you go! hopefully this helps :))

11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G

Answers

14.

Step-by-step explanation:

6x+6=90 (being a straight line)

6x=90-6

6x=84

x= 84/6

x=14.

A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.

Answers

Cash:1140
Option 1:1344
Option 2:1320

El desplazamiento (en metros) de una partícula que se mueve
en línea recta esta dado por s = 12 – 8t + 18, donde t se
mide en segundos.
a) Encuentre la velocidad promedio en cada intervalo de
tiempo:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Halle la velocidad instantánea cuando t = 4.
c) Dibuje la grafica de s como función de t y trace las rectas
secantes cuyas pendientes son las velocidades promedio
en el inciso a) y la recta tangente cuya pendiente es la
velocidad instantánea en el inciso b).

Answers

Answer:

c

Step-by-step explanation:

hize la misma pregunta que vos

The average velocities for the given time intervals are,

(i) -8 m/s,

(ii) -12 m/s,

(iii) 4 m/s, and

(iv) 4 m/s. The instantaneous velocity at t = 4 is -8 m/s. The attached graph of s as a function of t is a straight line with slope -8, showing the secant and tangent lines.

a) To find the average velocity in each time interval,

calculate the change in displacement (Δs) divided by the change in time (Δt) within each interval.

s = 12 - 8t + 18

i) [3, 4]:

Δs = s(4) - s(3) = (12 - 8(4) + 18) - (12 - 8(3) + 18) = -8

Δt = 4 - 3 = 1

Average velocity = Δs / Δt = -8 / 1 = -8 m/s

ii) [3.5, 4]:

Δs = s(4) - s(3.5) = (12 - 8(4) + 18) - (12 - 8(3.5) + 18) = -6

Δt = 4 - 3.5 = 0.5

Average velocity = Δs / Δt = -6 / 0.5 = -12 m/s

iii) [4, 5]:

Δs = s(5) - s(4) = (12 - 8(5) + 18) - (12 - 8(4) + 18) = 4

Δt = 5 - 4 = 1

Average velocity = Δs / Δt = 4 / 1 = 4 m/s

iv) [4, 4.5]:

Δs = s(4.5) - s(4) = (12 - 8(4.5) + 18) - (12 - 8(4) + 18) = 2

Δt = 4.5 - 4 = 0.5

Average velocity = Δs / Δt = 2 / 0.5 = 4 m/s

b) To find the instantaneous velocity when t = 4, we'll find the derivative of s with respect to t and then substitute t = 4.

s = 12 - 8t + 18

ds/dt = -8

Instantaneous velocity at t = 4 is equal to the derivative at t = 4:

Instantaneous velocity at t = 4: ds/dt (t=4) = -8 m/s

c) To sketch the graph of s as a function of t and draw the secant lines (average velocities) and the tangent line (instantaneous velocity):

Attached graph.

The graph of s as a function of t is a straight line with a slope of -8 and a y-intercept of 30. At t = 4, the instantaneous velocity is -8 m/s.

Secant lines:

Draw a straight line connecting the points (3, 10) and (4, 2) for the interval [3, 4].

Draw a straight line connecting the points (3.5, 4) and (4, 2) for the interval [3.5, 4].

Draw a straight line connecting the points (4, 2) and (5, 6) for the interval [4, 5].

Draw a straight line connecting the points (4, 2) and (4.5, 4) for the interval [4, 4.5].

Tangent line:

At t = 4, draw a straight line with a slope of -8 and passing through the point (4, 2).

The attached graph will show the secant lines with different slopes as the average velocities in each interval and the tangent line with a slope of -8 as the instantaneous velocity at t = 4.

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The above question is incomplete , the complete question is:

The displacement (in meters) of a moving particle

in a straight line is given by s = 12 – 8t + 18, where t is

measured in seconds.

a) Find the average velocity in each time interval:

i) [3, 4] ii) [3.5, 4]

iii) [4, 5] iv) [4, 4.5]

b) Find the instantaneous velocity when t = 4.

c) Plot s as a function of t and draw the secant lines whose slopes are the average velocity in part (a) and the tangent line whose slope is the

instantaneous velocity in part (b).

What is the area of this figure?

Answers

Answer:

area = 400 in²

Step-by-step explanation:

parallelogram area  = 20 x 16 = 320

triangle area = 1/2(20)(8) = 80

320 + 80 = 400 in²

what is the answer to this 4 - 1 3/4​

Answers

2.25 because 4-1 3/4 equals 2 1/4 and it simpler to convert to decimal

the answers is 9/4

simplified its 2 1/4 in mixed number form

decimal is 2.25

please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)

Answers

Answer:

6.96 is the area of this triangle! So, option A is correct.

Hope this helps and please mark brainliest!

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