For her class, Mrs. Norman bought 31 student tickets and 32 adult tickets, which cost a total of $854. Mr. Horton spent $837, getting 31 student tickets and 31 adult tickets. What is the price for each type of ticket?

Answers

Answer 1

Answer:

Each student ticket costs $10, and each adult ticket costs $17.

Step-by-step explanation:

Let s represent the cost of a student ticket and a represent the cost of an adult ticket.

31s + 32a = 854

31s + 31a = 837

----------------------

a = 17

31s + 31(17) = 837

31s + 527 = 837

31s = 310, so s = 10


Related Questions

the only difference between the set of whole numbers and the set of natural numbers is that 0 is only included in the set of (circle answer)

whole numbers or natural numbers).

Answers

Answer:

Whole numbers

Explanation:

0 is a whole number, but not a natural number. Whole numbers include all natural numbers and 0.

A fishing gear shop from boulder, co bought $23,000 worth of fishing rods from a liquidator in pasadena, ca. the shop sold the fishing rods for $49,000, making a profit of $250 per fishing rod. there were __?__ fishing rods involved.

Answers

Subtraction is a mathematical operation that reflects the removal of things from a collection. The boulder.co bought 104 fishing rods.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the cost price of all the fishing rods is $23,000, also the selling price of all the fishing rod is $49,000. Therefore, the total profit from this transaction is,

Profit = $49,000 - $23,000 = $26,000

Since the profit on a single fishing rod is $250, while the total profit is $26,000. Therefore, the number of fishing rods can be written as,

Number of Fishing rod = Total profit/ Profit per rod

                                      = $26,000 / $250

                                      = 104

Hence, the boulder.co  bought 104 fishing rods.

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If * >0 and y > 0, which expression is equivalent to √768x1937?
A. 8r4y6/12r4y
B. 16r4y6√3x¹y
C. 8r9y18/12xy
D. 16r9y18√3xy

Answers

This answer should be D
;)

13x13x13=????


I too lazy to calculate

Answers

Answer:

13×13×13=2197 that is the answer

The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?


Thanks
And will give a brainliest!!

Answers

Answer: Nth term = 5

Explanation:

An = a + ( n - 1 ) d

a = first term and

d = the difference

An = 1 + ( n - 1 ) 6

= 1n - 1 + 6

CLT

N = -1+6

N = +5 /5

Mark brainliest

Answer:

Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]

Step-by-step explanation:

Find the perimeter of this figure.
22 in.
17 in.
12 in.
12 in.
30 in.
40 in.
? ] = inches

Answers

Answer:

133 inches

Step-by-step explanation:

First, you need to do 22 + 17 which is 39
Next, you need to do 39 + 12 which is 51.
Next, you need to do 51 + 12 which is 63.
Next, you need to do 63 + 30 which is 93.
Lastly, you need to do 93 + 40 which is 133.

Remember This:
Perimeter is adding up all the side lengths to get your answer.


I Hope This Helped :D

Answer:

133

Step-by-step explanation:

solve for x -3x > 12

Answers

Answer:

x < -6

Step-by-step explanation:

x -3x > 12

Combine like terms

-2x>12

Divide by -2, remembering to flip the inequality

-2x/-2 < 12/-2

x < -6

Answer:

x < -6

Step-by-step explanation:

Pleaseeeeee helpppppp

Answers

They are both factors of 15x-10 because 5(3x-2)=15x-10

factor x factor=product.

In this case 15x-10 is the product

help please ……………………

Answers

Answer:

y = 20 , x = 30

Step-by-step explanation:

they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).

So y = 20

And x = 30

Can someone help me please???

Answers

Answer:

c is the answer. I hope that helps

Which graph represent f of x equals square root of the quantity x plus 2 end quantity minus 3? The graph shows a curve with an end point at 2 comma 3 that increasing to the right The graph shows a curve with an end point at 3 comma 2 that increasing to the right The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right

Answers

The graph of the function:

[tex]f(x) = \sqrt{x + 2} - 3[/tex]

Is the last graph (bottom graph of the second image).  

Which graph represents the given function?

Here we have the function:

[tex]f(x) = \sqrt{x + 2} - 3[/tex]

Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x + 2 = 0

x = -2

Then the function starts at:

[tex]f(-2) = \sqrt{-2 + 2} - 3 = -3[/tex]

Then the graph should start at (-3, 2).

We can also identify another point by evaluating in x = 2.

[tex]f(2) = \sqrt{2 + 2} - 3 =2 - 3 = -1[/tex]

So the function also passes through (2, - 1).

Notice that the only graph that contains these two points is the last graph (the bottom graph on the second image), so that is the correct option.

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Answer:

D

Step-by-step explanation:

 did the test got it right

What is the vertex of the quadratic function below y=-x^-2x-5

Answers

Answer:

(-1, -4)

Step-by-step explanation:

y = -x² - 2x - 5

y = -1(x² + 2x + 5)

y = -1(x² + 2x + 1 - 1 + 5)

y = -1(x² + 2x + 1) - 4

y = -(x + 1)² - 4

A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week 29 shirts were sold. The number of shirts sold each week represents an arithmetic sequence.

What is the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n?

Answers

The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

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HELP ME PLS 40 POINTS HELP ME

Answers

Answer:

y=4/5x-3.5

Step-by-step explanation:

You should keep the Y and X as variables in your slope-intercept equation. The slope-intercept formula is y=mx+b. Your M would be your slope which is rise over run. Based on the points, you go up four and right five. Your b is where the line intersects the Y-axis. You're welcome.

The answer should be y=4/5x-3.5

The zeros of a parabola are -4 and 2 and (6,10) is a point on the graph which equation can be solved to determine the value of a in the equation of the parabola

Answers

Answer:

Let consider the following linear equation systems by using the known points and second-grade polynomial:

(-1, 7)

a + b + c = 7a+b+c=7

(5, 7)

25\cdot a + 5\cdot b + c = 725⋅a+5⋅b+c=7

(6,10)

36\cdot a + 6 \cdot b + c = 1036⋅a+6⋅b+c=10

After some algebraic manipulation, the values for the polynomial coefficients are found:

a = \frac{3}{5}a= 53 , b = -\frac{18}{5}b=− 518

, c = 10c=10

The polynomial is:

y = \frac{3}{5}\cdot x^{2} - \frac{18}{5}\cdot x+10y= 53

Step-by-step explanation:

For complete solution see the above attachment!


An elevator in a tall building goes up 7 floors, then
down a floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?

Answers

f= 14 and the answer is the elevator
started on the 14th floor. 14 + 7 - 9 - 4 + 8 - 2 :
14 Is that correct?

Sorry I only have the answer key, lol, but for #13, can someone explain to me where they got 4.6 from?? ty and I don't need an explanation for 14; I just couldn't crop the photo

Answers

The measure of the side RS from the figure is 4.6 units

Midpoint theorem of a trapezium

The given figures are trapezoid. Given the following parameters

PQ = 4RS

We need to determine how PR is equivalent to 4.6

Since PQ = 18.4 from the diagram, hence;

18.4 = 4RS

RS = 18.4/4

RS = 4.6 units

Hence the measure of the side RS from the figure is 4.6 units

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Laboratory tests show that the lives of
light bulbs are normally distributed with
a mean of 750 hours and a standard
deviation of 75 hours. Find the
probability that a randomly selected
light bulb will last between 750 and 825
hours.

Answer in percentage!!!

Answers

Answer:  34%

This result is approximate.

=========================================================

Explanation:

mu = 750 = mean

sigma = 75 = standard deviation

The raw scores or x values are x = 750 and x = 825

Let's compute the z score for each x value

z = (x - mu)/sigma

z = (750 - 750)/75

z = 0

and

z = (x - mu)/sigma

z = (825 - 750)/75

z = 1

Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.

Use a z score table to determine that

P(z ≤ 0) = 0.5

P(z ≤ 1) = 0.84314 approximately

So,

P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)

P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)

P(0 ≤ z ≤ 1) = 0.84314 - 0.5

P(0 ≤ z ≤ 1) = 0.34314 approximately

The value 0.34314 then converts to 34.314% which rounds to 34%

Or you could use the empirical rule as shown below. The pink section on the right is marked 34% which is approximate. This pink section is between z = 0 and z = 1.

find the length of CB
A. 7
B. 4
C. 14
D. 2

Answers

Answer:

7

Step-by-step explanation:

5x-3 = 3x+1

2x=4

x=2

plug in

5(2)-3

10-3

7

answer: 7

The length of CB is A. 7

1. Which is the better deal?
A. 3 pack of granola bars for $0.93
B. 8 pack of granola bars for $2.72
C. 9 pack of granola bars for $2.97
D. 6 pack of granola bars for $1.92

Answers

Answer:

A or 0.31 per bar

Step-by-step explanation:

To solve this problem we want to find the price of the singular bar and find the cheapest one. So we will divide the amount of bars by the total price, so option A will equal 0.31, option B will equal 0.34, option C will equal 0.33, and option D will equal 0.32. The cheapest per bar price would be a or 3 pack of granola bars for 0.93 cents.

In a group of 36 pupils, 6 play the flute only.
6 play the piano only.
13 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?

Help please

Answers

11/36

36-(6+6+13)/36

Hope this helped

x-2y=15
x-3=4y
Simultaneous equation find x and y

Answers

Answer:

x = 27, y = 6

Step-by-step explanation:

x - 2y = 15

x - 4y = 3 (rearranged the orginal equation)

  x - 2y = 15

-  x - 4y = 3

___________

2y = 12

y = 6

Plug this value in any original equation

x - 2(6) = 15

x = 27

x and y of the simultaneous equation are 27 and 6 respectively.

Given,

x - 2y = 15

x - 3 = 4y

Here,

Equations:

x - 2y = 15

Rearranged the original equation

x - 4y = 3

Now subtract both equations,

x - 2y = 15

x - 4y = 3

⇒2y = 12

y = 6

Plug this value in any original equation

x - 2(6) = 15

x = 27

Thus the solution of system of equation is x = 27 and y = 6.

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Find a pattern for the sequence. Use the pattern to show the next two terms.
12, 24, 36, 48, . . .
A. Each term is twelve more than the preceding term; 60, 72
B. Each term is twice the preceding term; 72, 96
C. Each term is five times the preceding term; 60, 70
D. Each term is twelve times the preceding term; 60, 72

Answers

Answer:

about this question the sequence of the pattern is according to the table of 12.

Step-by-step explanation:

Table of twelve is.

12

24

36

48

then the answer will be 60

What is the measure of an exterior angle of a regular hexagon?

360°

180°

30°

60°

Answers

Answer:

60

Step-by-step explanation:

60 because a regular hexagon has a exterior angle measure of 60.

A regular hexagon has 6 sides you divide 360 by 6 which is 60

Ans: 60

Copy and complete the workings to find the value of each expression when m=2 and p=-4

Answers

Answer:

- 24

Step-by-step explanation:

4(m + 2p) ← substitute m = 2 and p = - 4 into the expression

= 4(2 + 2(- 4) )

= 4(2 - 8)

= 4(- 6)

= - 24

How to determine whether square root equation is always, sometimes , never, or true?

Answers

Answer:

While identity is true for all values of x, an equation may be true only for some values of x, or for no values of x. Examples: 2x + 6 = 4 is true when x = -1, but not when x = 0. The equation x + 5 = x is never true because a number is never equal to five more than itself.

Step-by-step explanation:

I hope this helps

i need helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

sorry. thats a hard one. math isn't. my area best of luck

help please help me i beg you

Answers

I think it's C but also not completely sure good luck

In the diagram below, a sequence of rigid motions maps ABCD onto JKLM.
If m/ A = 76, m/ B = 110°, and m / L = 116, the m/ M ?

Answers

In the diagram, the value of the last angle will be 158°.

How to calculate the angle?

It should be noted that the total angle is a quadrilateral is 360°.

In this case, the value of the last angle will be:

= 360° - (76° + 110° + 116°)

= 360° - 302°

= 158°

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Can someone please help me with this question?

Answers

The correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]

What is the matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.

The value of D will be calculated by multiplying the matrix if we get a unit matrix that will be the answer.

[tex]=\left[\begin{array}{cc}-9&-11&\\5&-6\\\end{array}\right]\times \left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right] \\\\\\=\left[\begin{array}{cc}(-54+55)&(99-99)&\\-(-30+30)&(55-54)\\\end{array}\right]\\\\\\=\left[\begin{array}{cc}1&0&\\0&1\\\end{array}\right][/tex]

Therefore the correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]

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