A class of 30 students visits an art museum and a special exhibit while there.

a. Use the Distributive Property to write and simplify an expression for the cost.
b. Estimate a reasonable value for x. Explain.
c. Use your estimate for x to evaluate both expressions in part (a). Are the values the same?

PRICES:
Museum Exhibit
Child (under 5) Free Free
Student $8 $x
Regular $12 $4
Senior $10 $3

Answer quick!!

Answers

Answer 1

A reasonable price for X would be $ 2.

Since a class of 30 students visits an art museum and a special exhibit while there, and the prices were as follows:

Child (under 5) Free Free Student $ 8 $ x Regular $ 12 $ 4 Senior $ 10 $ 3

To estimate a reasonable value for x, the following logical reasoning must be made:  

Regular 12 Senior 10 Student 8 = -2 Regular 4 Senior 3 = -1

Therefore, a reasonable price for X would be $ 2.

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Related Questions

A charity gala is held in a hotel ballroom each year. The cost is $150 for the ballroom and an additional $22.50 for each attendee. Write an equation showing how the cost of the gala, y, depends on the number of attendees, x. Do not include dollar signs in the equation. y=

Answers

Given:

Fixed cost = $150

Additional cost = $22.50

To find:

The equation that showing the cost of the gala depends on the number of attendees.

Solution:

Let x be the number of attendees and y be the cost of the gala.

Total cost = Fixed cost +Variable cost

We have,

Fixed cost = $150

Variable cost = Additional cost × Number of attendees

                      = [tex]22.50\times x[/tex]

                      = [tex]22.50x[/tex]

Total cost of gala is:

[tex]y=150+22.50x[/tex]

Therefore, the required equation is [tex]y=150+22.50x[/tex].

Reflect Triangle ABC in BC. What kind of figure will result? How would your answer change if ABC is isosceles? a right triangle with right angle at A? a right isosceles trianglewith right angle at A?

Answers

9514 1404 393

Answer:

a kitea kite or rhombus, dependinga kitea square

Step-by-step explanation:

The reflections are illustrated in the attached.

  A1, A1' are opposite vertices of the reflected original triangle. They are part of a kite figure.

  A2, A2' are opposite vertices of a reflected isosceles triangle, where BA=BC. Figure A2BA2'C is a kite.

  A2a, A2a' are opposite vertices of a reflected isosceles triangle with AB=AC. Figure A2aBA2a'C is a rhombus.

  A3, A3' are opposite vertices of a right triangle with the right angle at A3. Figure A3BA3'C is a kite figure.

  A4, A4' are opposite vertices of a reflected right isosceles triangle with AB=AC and the right angle at A4. Figure A4BA4'C is a square.

Find the measure of the indicated angle to the nearest degree 36

Answers

Answer:

47°

Step-by-step explanation:

cos ? = 36/53

? = arccos (36/53)

? = 47 (rounded to the nearest degree)

Answered by GAUTHMATH

Someone help me with this

Answers

Side of base=10kmPerimeter

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow (side)4[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 4(10)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40km[/tex]

Height=9.4km

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=Perimeter\times Height[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=40(9.4)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surace\:Area=384m^2[/tex]

The statements below can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long. StartFraction A B Over X Y EndFraction = StartFraction 4 Over 2 EndFraction ? StartFraction A C Over X Z EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction △ABC ~ △XYZ by the SSS similarity theorem. Which mathematical statement is missing?

Answers

Answer: c. BC/YZ=6/3

Step-by-step explanation:

trust

Answer: The answer is C. BC/YZ = 6/3

Step-by-step explanation:

Got it right on edge 2023

help again geometry similarity transformations

Answers

1. 2

2. The X axis

3. 3 right and 1 up (3, 1)

Answer:

2 or A

x-axis or y = 0

I'm not sure the answer choices for the third one so I'm heading out.

Step-by-step explanation:

If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.

Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.

Find the measure of

Answers

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

i don’t know what it is can someone help

Answers

Answer:

b

Step-by-step explanation:

Vina is asked to graph this system of equations:
2x - 4y = 3
7y - 5x = 8
How many times will the lines intersect?
A. There is no way to tell without graphing the lines first.
B. The lines will intersect once, because this system has one
solution.
C. The lines will intersect infinitely many times, because they are
identical.
D. The lines will not intersect, because this system has no solutions.

Answers

Answer:

Option B

Step-by-step explanation:

You'll find one solution for this, so this system has one solution

Answer:

B.

Step-by-step explanation:

Just did it and got it correct

In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class

Answers

Answer:

C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Step-by-step explanation:

In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class?

(1) The teacher distributed 180 candies and 40 bars.

(2) The total number of items received by each student was less than 20.

A Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

B Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D EACH statement ALONE is sufficient to answer the question asked.

E Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

180 candies and 40 bars

The highest common factor of 180 candies and 40 bars = 20

A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to travel the 60km will increase by 1/2h. Find the speed of the train at the beginning.

Answers

Answer:

Initial speed is 32 m/s

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

[tex]{ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}[/tex]

substitute:

[tex]{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}[/tex]

from second equation of motion:

[tex]{ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}[/tex]

substitute:

[tex]{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}[/tex]

solve |2x+2|=10 ap3x

Answers

Answer:

solving for x

Step-by-step explanation:

4 or -6

Answer:

x = 4

Step-by-step explanation:

Those absolute value signs are a trick, well at least for this problem. Solve it how you usually would. However, if +2 was -2 or +/-2, then you would need to pay attention. Basically, those signs make the whole equation incased positive no matter what.

Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?
A. 4x-3
B. 2x - 3
C. -18x - 17
D. -X​

Answers

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

A square shaped room contains 12 m3 of air. If the height of the room is 3 m, what is the area of the floor. Also, find the length of the floor.​

Answers

Answer:

A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer

Step-by-step explanation:

please mark me brainlist

Can someone help me with this I don't understand find TAN

Answers

Answer:

Tan X = 14/48 = 7/24

Answered by GAUTHMATH

Answer:

7/24

Step-by-step explanation:

tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)

14 / 48 = 7 / 24. Simplest form is 7/24.

can anyone help with this? im confused

Answers

Circumference/ Pigreco = 22 / 3,14 = 7
So it’s letter A

Which of the following statements is false?
A. Opposite sides of a parallelogram are congruent.
B. The diagonals of a parallelogram bisect each other.
C. A rhombus is a parallelogram.
D. A rhombus is a regular polygon.

Answers

Answer:

D

Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and standard deviation of 1.7 years. The 10% of items with the shortest lifespan will last less than how many years?

Answers

Answer:

3.6 years

Step-by-step explanation:

Using the standard normal probability distribution table, we obtain the Zscore which is 10% to left of the distribution.

The Zscore gives, - 1.282

To obtain the number of years, let this be x ;

Recall, the Zscore formula :

Zscore = (x - μ) / σ

x = number of years

μ = 5.8

σ = 1.7

Zscore = (x - μ) / σ

-1.282 = (x - 5.8) / 1.7

-1.282 * 1.7 = x - 5.8

-2.1794 = x - 5.8

-2.1794 + 5.8 = x

x = 3.6206

x = 3.6 years

how much does 25 feet equal in inches

Answers

Answer:

25 feet is equal to 300 inch

Answer:

300 inches

Step-by-step explanation:

12 inches equal a foot, so just multiply 12 by 25 and BOOM, you get 300 inches :)

Which of the following expressions is equal to x2 +25?
O A. (x+10)(x-15)
O B. (x-51)(x+51)
OC.
-512
O D. (x+5)

Will give brainyliest answer

Answers

Answer:

Solution given:

x²+25=???

we have

formula

a²+b²=(a+b)²-2ab or (a-b)²+2ab

so

x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x

or

x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x

:.

expressions is equal to +25 is

(x-5)²+10x

or

(x+5)²-10x

What do you know to be true about the values of p and q?

Answers

Answer:

p = q

Step-by-step explanation:

Angles in a triangle add up to 180°

For the left triangle:

180 = p + 20 + 80

p = 80

For the right triangle:

180 = q + 45 + 55

q = 80

Therefore, p = q

given square NOWR, what is the value of x and y?

Answers

Answer:

x = 4, y = 9

Step-by-step explanation:

The angles in a square are right, that is 90°

The diagonals bisect the angles , then

6x + 21 = 45 ( subtract 21 from both sides )

6x = 24 ( divide both sides by 6 )

x = 4

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

The sides of a square are congruent , then

10y - 29 = 5y + 16 ( subtract 5y from both sides )

5y - 29 = 16 ( add 29 to both sides )

5y = 45 ( divide both sides by 5 )

y = 9

Find f(-3) if f(x) = x2 .


Type a numerical answer in the space provided. Do not type spaces in your answer.

Answers

Answer:

f(-3) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                          f(-3) = (-3)²Exponents:                                                                                                        f(-3) = 9

Please hurry I will mark you brainliest

Answers

Answer:

number of pennies = 54

Step-by-step explanation:

(4,60) ; (6, 65)

Find the slope

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]=\frac{65-60}{6-4}\\\\=\frac{5}{2}[/tex]

m = 5/2 and (4,60)

Equation of the line: y - y1 = m (x -x1)

[tex]y - 60 = \frac{5}{2}(x -4)\\\\y - 60 = \frac{5}{2}x-\frac{5}{2}*4\\\\y- 60 = \frac{5}{2}x-10\\\\y =\frac{5}{2}x-10+60\\\\y=\frac{5}{2}x + 50[/tex]

x-----> determine the number of pennies and y determines the mass of pennies.

Here mass (y -value) is given as 185. We have find the corresponding x-value. So plugin  y  = 185 in the above equation,

[tex]185 = \frac{5}{2}x+50\\\\185-50=\frac{5}{2}x\\\\135=\frac{5}{2}x\\\\135*\frac{2}{5}=x\\\\27*2=x[/tex]

x = 54

What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time

Answers

Answer:

C.

Step-by-step explanation:

Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.

Decide!!!!!!!!!!!!!!!!!!!

Answers

Answer:

n = {9, 10}

Step-by-step explanation:

Let the equation be:

n² - 19n + 91 = k²

Multiply both sides by 4 and complete the square:

4n² - 76n + 364 = 4k²(2n)² - 2(2n)(19) + 19² + 3 = 4k²(2n - 19)² - 4k² = - 3(2n + 2k - 19)(2n - 2k - 19) = -3

Since -3 = 1(-3) = (-1)*3, we have following options:

1)

2n + 2k - 19 = 12n - 2k - 19 = -3

Eliminate k by adding up equations:

4n - 38 = -24n = 36n = 9

2)

2n + 2k - 19 = -12n - 2k - 19 = 3

Eliminate k by adding up equations:

4n - 38 = 24n = 40n = 10

29 cm
21 cm
What is the length of the missing leg?
a
centimeters

Answers

Step-by-step explanation:

Use phytogoras theorem

[tex] \sqrt{ {29}^{2} } - \sqrt{ {21}^{2} } \\ \\ \\ square \: root \: the \: whole \: eq \\ \\ \\ = 20cm[/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

a sequence starts 2,-1,-4,-7 what is the 25th term

Answers

Answer:

-70

Step-by-step explanation:

They have a common difference of -3

11) Seven times a number subtracted from 29 gives 43. Find the number.​

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x-2=-14

29-(-14)=43

hope this helps :)

Please do a explanation:’)

Answers

Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

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