The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96​

The Expression For The Income Of An Amusement Park Is Given, Where X Is The Entry Price: 96. - 4c? Aside

Answers

Answer 1

The income of the amusement park is a function of the price of the ticket

The entry price that will result in no income is $24

How to determine the entry price that results in no income

The expression for the income is given as:

[tex]96x - 4x^2[/tex]

When the income is 0, we have the following equation

[tex]96x - 4x^2 = 0[/tex]

Factor out 4x

[tex]4x(24 - x) = 0[/tex]

Split the equation

4x = 0 or 24 - x = 0

Solve for x

x = 0 or x = 24

This means that, the entry price that will result in no income is $24

Read more about income and expenses at:

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Related Questions

Which inequality represents the sentence below? two more than a number is less than 14. 2 n less-than-or-equal-to 14 2 n less-than 14 2 n greater-than-or-equal-to 14 2 n greater-than 14

Answers

The inequality that represents the sentence "two more than a number is less than 14" is [tex]n+2 < 14[/tex].

Let the number be n

2 more than number = n+2

What is inequality?

Inequality is the relation between two expressions that are not equal, employing a sign such as‘not equal to’, > ‘greater than’, or < ‘less than’.

It is given that,

Two more than a number is less than 14

This means, [tex]n+2 < 14[/tex]

Therefore, the inequality that represents the sentence "two more than a number is less than 14" is [tex]n+2 < 14[/tex].

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Answer: 2 + n less-than 14

Or 2 + n < 14

Step-by-step explanation:

Let n = number

Two more than a number is less than 14

n + 2 < 14

Or 2 + n < 14 which is the same as

2 + n less-than 14 or B

The ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures? In order from least to greatest, the angle measures are

Answers

Answer:

36, 54, 90

Step-by-step explanation:

angle ratio = total internal angles

2x + 3x +5x = 180

10x = 180

x = 18

2×18:3×18:5×18

36, 54, 90

Giving right answer branleist

Answers

Answer:

Ans = 0.75

Explanation:

Let's use m.

m = 6 / 8 = 3 / 4 = 0.75

Answer:

Slope is 3/4

Step-by-step explanation:

Each point given is an x and a y, like this (x, y)

For the top number (numerator) of your answer, subtract the y's from both points.

On top: 9 - 3

On the bottom (denominator) subtract the x's.

Below: 5 - -3

So slope is:

9-3 / 5 - -3

6/8

Simplify

6/8

= 3/4

The slope is 3/4.

The partial factorization of x2 – x – 12 is modeled with algebra tiles. An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled x, 3 are labeled. 1 tile is in the Factor 2 spot and is labeled x. 20 tiles are in the Product spot: 1 is labeled x squared, 3 are labeled x, the 4 tiles below x squared are labeled negative x, and the 12 tiles below the x tiles are labeled negative. Which unit tiles are needed to complete the factorization? 3 negative unit tiles 3 positive unit tiles 4 negative unit tiles 4 positive unit tiles.

Answers

The complete factorization of the polynomial x² – x – 12 is (x – 4)(x + 3). The 3 positive unit tiles. Then the correct option is B.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The partial factorization of x² – x – 12 is modeled with polynomial tiles.

The factorization will be

x² – x – 12

x² – 4x +3x – 12

(x – 4)(x + 3)

The complete factorization of the polynomial x² – x – 12 is (x – 4)(x + 3). The 3 positive unit tiles. Then the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Someone pls help? ........

Answers

The answer is 577 R 2

577 will be your answer and will be finished with a remainder of 2 :)

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared b x c. Which statement is true of x2 8x – 6? (x – 2) is a factor of the polynomial. (x 2) is a factor of the polynomial. (x – 4) is a factor of the polynomial. The polynomial is prime.

Answers

The polynomial is prime because the provided polynomial can not be factored shown in the X-method chart.

What is X method?

X-method is the method to find the factors of the polynomial equation.

An x-method chart shows the product a c at the top of x and b at the bottom of x.

Above the chart is the expression,

[tex]ax^2+bx+c[/tex]

The given polynomial in the problem is,

[tex]x^2 +8x - 6[/tex]

Let's check if the factors of polynomial. To find the factor, we need, to find the two number whose sum or different is 8 and the product is 6 (6 × 1).

As there is no number which gives has the sum or different is 8 and the product is 6 (6 × 1). Thus, the above polynomial can not be factored. Thus this polynomial is prime.

Thus, the polynomial is prime because the provided polynomial can not be factored, shown in the X-method chart.

Learn more about the X method here;

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Answer:

d

Step-by-step explanation:

cuz i know

Please help me Please This needs to be done ASAP ​

Answers

Answer:

ACROSS

1. LINE

6. LINE SEGMENT

8. OBTUSE ANGLE

11. RIGHT ANGLE

12. DOT

DOWN

2. ACUTE ANGLE

3. PLAIN

4. PROTECTOR

5. VERTEX

6. STRAIGHT LINE

7. PLANE

9. STRAIGHT ANGLE

10. ANGLE

Step-by-step explanation:

I HOPE IT WILL BE HELPFULTHX

What is the grade range for junior high school?​

Answers

Answer:

11 graders are Juniors in High School

Step-by-step explanation:

Secondary or high schools enroll students in the upper grades, generally 9-12 with variations.

Pls, choose me as brainliest!

Can anyone help? It's 5th grade math and I'm stuck on this problem. Please someone I'll do anything.

Kelly wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4 5/6 ft by 2 1/3 ft. Find the area the carpet needs to cover.

Answers

Answer:

11.277 or 11.28

or 11 7/25

Step-by-step explanation:

you should just multiply then turn to a mixed number. please mark as brainliest

gas tank is
full. After he buys 5 gallons of gas, it is
12 /
10
full. How many gallons can tank hold?

Answers

Answer:

25

Step-by-step explanation:

2.5 is 1 so 2.5 times 10 equals 25

\

Write -x^2+2xy-y^2 as the opposite of the square of a binomial

Answers

Answer:

  4444444444444444444

Step-by-step explanation:

BELIEVE ME ON THIS ONE

Answer:

-(x-y)^2 because both x have a power to the two and i'm gonna bet that it's asking for a negative so there you go!

This year, 432 middle school students ordered a yearbook. So far, 398
yearbooks have been distributed.
Which of the following will help find how many more students still
need a yearbook?
x +398 = 432; x = 36
X + 398 = 432; x = 34
2 – 398 = 432; x = 830
2 – 398 = 432; x = 34

Answers

Answer:

B is the answer

Step-by-step explanation:

This answer is reasonable because it shows that 398 + x (the amount that still has to be distributed) equal the total amount of middle school students who ordered a year book.

total books = 432

total books distributed = 398

total books needed = x

equation:

[tex]\tt x+398=432;x=34[/tex]

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

x = 38 , y = 19

Step-by-step explanation:

using the tangent ratio in the right triangle and the exact valu

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{19\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × y = 19[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 19

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

using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{19\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × x = 38[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 38

Help and steps please

Answers

Answer:

30

Step-by-step explanation:

We know that the very bottom side is 2 because 6-4 is 2. Then add up all the sides which equals 30

Asli has a number of coins in a box. There are thirty-four 25 cent coins,
a
eighty-five 10 cent coins, seventy-two 5 cent coins and nine 1 cent coins.
As a percentage, write down the ratio of:
a) 25 cent coins to the total
b) 10 cent coins to 25 cent coins
c) 1 cent coins to 5 cent coins
d) the total number of coins to 1 cent coins.

Answers

Answer:

Step-by-step explanation:

No. of 25 cent coins = 34

No. of 10 cent coins = 85

No. of 5 cent coins= 72

No. of 1 cent coins = 9

Total sum of coins = 200

Percentage of 25 cent coins = (34/200)*100

= 17 %

CAN SOMEONE PLEASE HELP ME!!!

Answers

Answer:

A = 480 mm²

Step-by-step explanation:

the area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] product of diagonals

The diagonals are perpendicular bisectors of each other , so

Δ XVW is a right triangle

using Pythagoras' identity in the right triangle , then

XV² + WV² = WX²

XV² + 24² = 26²

XV² + 576 = 676 ( subtract 576 from both sides )

XV² = 100 ( take square root of both sides )

XV = [tex]\sqrt{100}[/tex] = 10

then

XZ = 2 × XV = 2 × 10 = 20

and

WY = 2 × WV = 2 × 24 = 48

A = [tex]\frac{1}{2}[/tex] × XZ × WY = [tex]\frac{1}{2}[/tex] × 20 × 48 = 10 × 48 = 480 mm²

A farm uses an old grist mill wheel to grind corn. The wheel turns 105° and stops. How many degrees are left for the wheel to make one complete rotation?

A)255
B)41
C)49
D)50

Answers

A) 255

There are 360 degrees in a full rotation. 360-105=255, so the mill still needs to turn 255 degrees to get a full rotation,

A. 5x=3x

b.5=3



How can we get Equation B from Equation A?

Answers

Answer:

A is x = 0

B is false

Step-by-step explanation:

because u have to solve x

and b is false

what are the zeros of this function?

Answers

Answer:

5 and 6

Step-by-step explanation:

The values of the roots of the function are the same as the points where the graph meets the horizontal axis.

Check the picture below.

The area of a circle is found by the equation A=πr^2. If the area of a certain circle is 25π square inches, find it's radius r

Answers

Answer :

5 inches.

Given :

The area of a circle is 25π sq.in

To Find :

The Radius.

Solution :

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2} = \bf{Area_{(Circle) } }}[/tex]

Where,

r is the radius of the circle.

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi {r}^{2} = 25 \pi }[/tex]

Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi {r}^{2} = 25 \cancel\pi }[/tex]

[tex]{ \longrightarrow\qquad \sf {r}^{2} = 25 }[/tex]

[tex]{ \longrightarrow\qquad \sf {r}= \sqrt{25} }[/tex]

[tex]{ \longrightarrow\qquad \pmb{\bf {r}= 5 }}[/tex]

Therefore,

The Radius of the circle is 5 inches .

why cant i understand this

Answers

Answer:

that is corret

Step-by-step explanation:

it sound goos

I don't really get alot of help but help me on this one Find the volume pls ​

Answers

Answer:

C. 112 cubic inches

Step-by-step explanation:

Two solve this weird-looking house problem, first let's see what it is made of.

Split the area into two volumes.

V = 1/3lwh is the volume for a triangular prism and V = lwh is the volume for a rectangular prism.

Let's now solve for the triangular prism.

The length and width are the same as that of the cube. The cube's length and width is 4 in.

V = 1/3(4)(4)(6) = 32 cubic inches

Now Solve for the cube.

V = lwh = 4(4)(5) = 80 cubic inches

Total Volume = 80 + 32 = 112 cubic inches

please help I'm bad at math i don't understand

Answers

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

The vertex of a parabola is the lowest or highest point, implying that all points are reflected across it. It's the only y value that doesn't have a corresponding pair.

For example, -1 and 1, -3 and 3, and so on.

The vertex is at (-3,-1) because it is the sole point without a corresponding y value (-3,-1)

The y-intercept is where the parabola meets the y axis or when the x value equals 0. To determine the y-intercept, simply find when x = 0.

intercept y: (0,8)

The x-intercepts are the same as the y-intercepts; you must determine where the parabola crosses the x-axis or when y = 0.

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3

PLEASE HELP! FIFTEEN BRAIN POINTS :D

Answers

Answer:

Pretty sure its 540

Step-by-step explanation:

Suppose that Hubble's constant were H0 = 36 km/s/Mly (which is not its actual value). What would the approximate age of the universe be in that case?

Express your answer in years to two significant figures.

I got 26. 95 and it was wrong

Answers

With the Hubble's constant H₀, the estimated age of the universe would be:

T = 8,332,452,617.49 years.

How to get the age of the universe?

We know that the age of the universe is something near to the time the galaxies needed to reach their current distance:

T = D/V

And by Hubble's law, we know that:

V = H₀*D

Then we can write:

T = D/(H₀*D) = 1/H₀

So, we can say that the age of the universe is something near the inverse of Hubble's constant.

Then we have:

T = 1/(36 km/s*Mly) = (1/36)  s*Mly/km

Now we need to perform the correspondent change of units.

1 Mly = 1 million light-years

Such that:

1 ly = 9.461*10^12 km

Then 1 million light-years over km is equal to:

1 Mly/km = 1,000,000*(9.461*10^12 km)/km = 9.461*10^18

Then we can replace it:

T = (1/36) s*Mly/km = (1/36)*9.461*10^18 s

T = 2.628*10^17 s

This is the age in seconds, but we want it in years.

We know that:

1 year = 3.154*10^7 s

Then to change the units, we compute:

T = (2.628*10^17 s/3.154*10^7 s)* 1 yea

T = 8,332,452,617.49 years.

If you want to learn more about Hubble's constant, you can read:

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−8(0.5x−3)=3 solve for x
sue in under 1 hour!!!!
brainliest for step by step and 5 stars and likes!!! pls help or I'ma get in a lot of trouble

Answers

Hi so in decimal form it is x = 5.25, the exact form is x = 21/4, and mixed form is x = 5 1/4 I will put the explanation tomorrow in the comments!

PLEASE EXPLAIN ME THIS. IM BEGGING U

A retailer obtains a bank loan of € 83,300, with an interest rate 4.5%, to be repaid after 150 days.

> Calculate the interest due on expiry of the loan.

Answers

Answer:

Step-by-step explanation:

Calculation

Divide your interest rate by the number of payments you'll make that year. ...

Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month. ...

Subtract that interest from your fixed monthly payment to see how much in principal you will pay in the first month.

Find the of X if triangle DBE ~ triangle ABC. please show work

Answers

Answer: 4

Step-by-step explanation:

The main advantage of boxplots over stemplots and histograms is:.

Answers

The main advantage with boxplots (aka box and whisker plots) is that we can spot the five number summary very quickly. The five number summary consists of these items:

MinQ1 = first quartileMedian (sometimes referred to as Q2)Q3 = third quartileMax

The min and max are the left-most and right-most tips of the whiskers, assuming there aren't any outliers. They are the smallest and largest items.

The left and right edges of the box represent Q1 and Q3 in that order. The vertical line inside the box is the median. The vertical line does not have to be at the exact center of the box.

a
18) A triangle has a base is
8 cm and an area of
20 sq cm. What is its
height?

Answers

Answer:

5

Step-by-step explanation:

20×2÷8

hope it helps you

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