An amusement park offers a ticket for $12.95 off the original price p. Write and solve an equation to find the original price

Answers

Answer 1

The original price of a ticket is a  $56.95.

According to the statement

We have to find that the linear equation.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

An amusement park offers a ticket for $12.95 off the original price p.

Then

Discounted price is that the amount of sum that extracted from the initial price when buyers receive some style of leverage from the vendor. during this case, discounted price of the ticket is $44 which was $12.95 but the initial price.

Then the first price would be:

$44 + $12.95 = $56.95

So, The original price of a ticket is a  $56.95.

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Related Questions


Choose the correct term to complete the following sentence.
An asymptote of the ____ occurs at θ=π/2 , and repeats every π units.

Answers

An asymptote of the tangent occurs at θ=π/2 , and repeats every π units.

Asymptote of the tangent

Due to the fact that tan(x)=sin(x)cos(x), the tangent function is undefined for cos(x)=0. In light of this, whenever cos(x)=0 the tangent function exhibits a vertical asymptote. Similar to the sine function, the tangent function has zeros for integer multiples of because tan(x)=0 when sin(x)=0.

Typically, dashed lines are used to separate asymptotes from the function itself. The vertical lines that frequently appear on the tangent function's graph are spaced 180 degrees apart from one another.

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which answer choice repsents the quotient of 98,673 divided by 222

Answers

Answer: I can't see the answer choices but 98,673 divided by 222 is 444.5

hope this helps :)


Use the properties of exponential and logarithmic functions to solve each system. Check your answers.
y=2 x⁺⁴
y-4x⁻¹=0

Answers

The solved logarithmic functions are log y = log 2 + 4 log x and log y = 2 log 2 - log x for y = 2x⁺⁴ and y - 4x⁻¹ = 0 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: y = 2x⁺⁴, y - 4x⁻¹ = 0

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression y = 2x⁺⁴

Applying log on both sides, we get,

log y = log (2x⁺⁴)

log y = log 2 + log x⁺⁴

log y = log 2 + 4 log x

To Check Results,

Taking exponential,

y = e^[log 2 + 4 log x]

y = e^(log 2) × e^[4 log (x)]

y = 2 × e^(log x⁴)

y = 2x⁴

Thus, the answer is verified.

Take expression y - 4x⁻¹ = 0

Applying log on both sides, we get,

log y = log (4x⁻¹)

log y = log 4 + log x⁻¹

log y = 2 log 2 - log x

To Check Results,

Taking exponential,

y = e^[2 log 2 - log x]

y = e^(2 log 2) × e^[-log (x)]

y = e^(log 4) × e^(log x⁻¹)

y = 4x⁻¹

y - 4 x⁻¹ = 0

Thus, the answer is verified.

Hence, the solved expression is log y = log 2 + 4 log x and log y = 2 log 2 - log x for y = 2x⁺⁴ and y - 4x⁻¹ = 0 respectively.

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Ray QS bisects Angle PQR and m of Angle RQS = 71 °

Find m of Angle PQS and m of Angle PQR

Answers

The measure of the ∠PQS will be 71° , and the measure of the ∠PQR will be 142°.

What is an angle bisector ?

The angle bisector is the line or line segment that divides the angle into two identical portions.

Given that line, QS is bisecting the angle PQR into two angles RQS and PQS.

We know that the angle bisector bisects the two angles into two equal halves , i.e.,

∠ PQS = ∠ RQS

So ; the measure of ∠ PQS will be :

∠ PQS = 71°

So , if we want to calculate the measure of ∠PQR then it can be represented as the sum of two angles.

∠ PQR = ∠PQS + ∠RQS

or

∠PQR = 71° + 71°

or

PQR = 142°

Therefore, the measure of the ∠PQS will be 71° , and the measure of the ∠PQR will be 142°.

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Put the reasons in the correct order that will justify the statements given​

Answers

The statements that completes the two column proof table, obtained through the use of complementary, and angle addition postulates, arranged using the numbering on the given table are as follows;

Given ‹PQR is a right angleDefinition of Right AnglesAngle addition postulateSubstitutionDefinition of Complementary AnglesGiven ‹TQP and <SQR are complementary angles [tex] \angle PQS \cong \angle TQP[/tex]

What are complementary angles?Two angles are said to be complementary angles if they sum up to 90°A right angle is an angle that measures 90°.The angle addition postulate states that the measure of an angle formed by two smaller angles is equal to the sum of the two angles

The reasons that completes the two column proof table are as follows;

1. ‹PQR is a right angle; Given ‹PQR is a right angle

2. m‹PQR = 90°; Definition of Right Angles

3. m‹PQS + m‹SQR = m<PQR; Angle addition postulate

4. m‹PQS + m‹SQR = 90°; Substitution

5. ‹PQS and ‹SQR are complementary angles; Definition of Complementary Angles

6. ‹TQP and <SQR are complementary angles; Given ‹TQP and <SQR are complementary angles

7 [tex] \angle PQS \cong \angle TQP[/tex]

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In the last academic year, miss taylor supported 23 students. this year she only has 14 students to support. written as a percentage to one decimal place, how much has miss taylor cohort fallen by?

Answers

Answer:

39.13%

Step-by-step explanation:

14/23=60.87%

Since the question asks how much has miss Taylor cohort fallen by we do this:

100%-60.87%=39.13%

Answer = 39.13%

Hope this helps :)

A scientist captures a sample of fish from 100 different locations along the
Yellowstone river and measures the proportion of fish affected by copper toxicity for
each sample. Describe how the scientist could use the data to estimate the
proportion of fish affected by copper toxicity in the entire population along this
portion of the river.

Answers

It should be noted that the scientist could use the data to estimate the proportion of fish affected by copper toxicity in the entire population along this portion of the river by dividing the number of fishes affected by the fishes collected

How to illustrate the information?

Let the number of fish collected in sample be represented as N.

Let the number of fish affected in it be represented by X.

Therefore, the proportion will be;

= X/N

Therefore, this can be used by the scientist to estimate the proportion of fish affected by copper toxicity in the entire population.

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How do you find all real and complex zeros of a polynomial function?

Answers

Real and complex zeros of a polynomial function can be find as:

First convert the polynomial to factored form. set factor equal to zero to solve for the real zeros

What is Polynomial function?

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

Given:

We have to find all real and complex zeros of a polynomial function.

first convert the polynomial to factored form. Once all factors are found, set each individual factor equal to zero to solve for the real zeros

So, according to fundamental theorem of Algebra

It states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers.

A complex zero is a complex number that is a zero of a polynomial. For example, i (the square root of negative one) is a complex zero of the polynomial x² + 1, since i² + 1 = 0.

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are the expressions (5x + 3) + 3x2 - 2 and (5x + 1) + 3x2 equivalent

Answers

Answer:

Yes they are equivalent.

In fact any value of x will make both equations equivalent.

Step-by-step explanation:

The prices of two different brands of hot
chocolate are shown below.
What is the difference in price between the two
brands when buying 800 g of hot chocolate?
Give your answer in pounds (£).
Brand A
HOT
CHOCOLATE
£2.85
160 g
Brand B
HOT
CHOCOLATE
£3.40
200 g

Answers

The difference in price between the two brands when buying 800 g of hot chocolate is 0.

What is arithmetic operation?

A field of mathematics known as arithmetic operations deals with the study of numbers and the operations on those numbers that are relevant to all other branches of mathematics. The basic operations included in it are addition, subtraction, multiplication, and division.

For brand A

For 160g of hot chocolate is $2.85

For 1g of hot chocolate is 2.85/160

For 800g of hot chocolate is [tex]\frac{2.85}{160} \times 800[/tex]

                                             = 2.85 [tex]\times[/tex] 5

                                             = $14

For brand B

For 200g of hot chocolate is $3.40

For 1g of hot chocolate is 3.40/200

For 800g of hot chocolate is [tex]\frac{3.40}{200} \times 800[/tex]

                                             = 3.40 [tex]\times[/tex] 4

                                             = $14

Difference of brand A and brand B of hot chocolate of 800g is $14 - $14 = 0.

Therefore, the difference in price between the two brands when buying 800 g of hot chocolate is 0.

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A student has taken three math tests so far this semester. His scores for the first three tests were 75,79 , and 83.

a. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth (and final) test?

Answers

Answer:

75

Step-by-step explanation:

there is a pattern in which you can get your answer 75 to 79 you are counting in three 75,76,77,78,79 if you look closely you will see the pattern and you continue to his sixth test and that is how you will get your answer

Pls help this assignment is due today! I will give brainliest!

Answers

Answer:

Step-by-step explanation:

The slope is defined as the ratio of the “rise” divided by the “run” between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line.

The inclination of a straight line is the angle that the line makes with the positive direction of the x-axis. The tangent of the angle that a line makes with the positive direction of the x-axis is called the slope or gradient of the line. The slope of a line is generally denoted by m.

Given two points (x1, y1) and (x2, y2) on a line, the slope m of the line is y = (y2 – y1)/(x2 – x1)

The slope-intercept form of a line is given by y = mx + b gives the slope of line m and the y-intercept of line b. The inclination of the line with the horizontal axis is called the slope of the line. The point at which the curve cuts or crosses the y – axis is called the y-intercept.

What is the volume of this triangular prism?

576 ft ^3

288 ft ^3

34 ft ^3

29 ft 63

Answers

The volume of the triangular prism that is 16 ft long is calculated as: 288 ft³

What is the Volume of a Right Triangular Prism

A triangular prism has two triangular bases. The volume of the triangular prism can be found by using the formula below:

Volume of triangular prism = 0.5 * b * h * L, where:

the length of the the base of the triangular face = bthe height of the triangular face = h, and,the length is triangular prism = L

Given the parameters below:

Length of the the base of the triangular face (b) = 4 ft

Height of the triangular face (h) = 9 ft

the length is triangular prism (L) = 16 ft

Volume of the triangular prism = 0.5 * 4 * 9 * 16

Volume of the triangular prism = 288 ft³

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Dilate (9, 9) using a scale factor of 1/3

Answers

after dilating the point ( 9 , 9 ), we get the point as ( 3 , 3 ) with the scale factor as 1 / 3.

We are given a point:

( 9 , 9 )

We have the scale factor as:

1 / 3

We need to dilate the point using the scale factor.

So, we get that:

( 9 × 1 / 3 , 9 × 1 / 3 )

= ( 3 , 3 )

Therefore, after dilating the point ( 9 , 9 ), we get the point as ( 3 , 3 ) with the scale factor as 1 / 3.

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Which temperature is hottest?
-32°C
-34°C
33°C
31°C

Answers

Answer:

Step-by-step explanation:

33

The answer is 33*C or 33 degrees Celcius

What two functions could represent length and width for given values of x based on the combined function? f(x) = x + 7 and g(x) = x + 3 f(x) = x – 7 and g(x) = x – 1 f(x) = x2 + 7 and g(x) = x3 + 3 f(x) = x – 7 and g(x) = x – 3

Answers

The length is greater then width with degree one so f(x) = x + 7 and g(x) = x + 3 represents length and width respectively so option (A) will be correct.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Perimeter of rectangle = 2( length + width).

A rectangle has two dimensions of size one is greater called length and another is small known as width.

The length and width both are on units of length only such that meter, cm.

In the given option

x + 7 > x + 3 so f(x) will be length and g(x) will be width.

In the option (B) x - 7 < x - 3 so it will not.

Option (C) x² + 7 can not be a unit of length.

Option (D) x - 7 < x - 3 so it will not.

Hence "The length is greater then width with degree one so f(x) = x + 7 and g(x) = x + 3 represents length and width respectively".

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Answer: is A

Step-by-step explanation:

I did that

What is the quotient ∛8 x⁶ y¹² / √4 x⁴ y⁸ ?

Answers

The given quotient ( ∛8 x⁶ y¹² ) / ( √4 x⁴ y⁸ ) is x² y⁴.

This question can be easily solved by using the concept of roots. The two root terms mentioned in the question are ∛8 ( cubic root of 8 ) and  √4 (square root of 4 ). This question can be solved in 4 easy steps

Determining the power of the root and find the LCM of those numbers..

In this case, the powers of root for ∛8 and √4 are 3 and 2, respectively. Take LCM of 3 and 2.

LCM = 3 x 2 = 6

=> We get the LCM of 3 and 2 as 6.

Writing the given numbers as fractional powers.

∛8 = 8¹ˡ³  => The power of 8 = 1/3

√4 = 4¹ˡ²  => The power of 4 = 1/2

Step 3 : Multiply and divide the powers of the base number ( in this case 8 and 4 ) with a number such that you get the denominator as the LCM's ( in this case 6 )

1/3  can be multiplied and divided by 2 to get the denominator as 6

=> 1 * 2 / 3 * 2 = 2/6

1/2  can be multiplied and divided by 3 to get the denominator as 6

=> 1 * 3 / 2 * 3 = 3/6

Step 4 : Divide the two terms

6√8² x 6√4³ = 6√( 4 x 2 x 4 x 2 / 4 x 4 ) = 6√1 = 1

Also,  x⁶ y¹² / x⁴ y⁸ = x² y⁴

Therefore, using the concept of roots and fractions, we get The quotient ( ∛8 x⁶ y¹² ) / ( √4 x⁴ y⁸ ) as x² y⁴.

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9 - 3x + x - 15 combining like terms​

Answers

Hey there!


9 - 3x + x - 15

= 9 - 3x + 1x - 15

COMBINE the LIKE TERMS

= (9 - 15) + (-3x + 1x)

= (-3x + 1x) + (9 - 15)

= (-3x + x) + (9 - 15)

= -3x - x + 9 - 15

= -2x - 6


Therefore, your answer should be:

-2x - 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)


Simplify each expression. √8x⁵-√18x⁵

Answers

The simplified expression is [tex]-\sqrt{2} x^{2} \sqrt{x}[/tex].

English expressions, also commonly known as expressions, are words, or groups of words that when used in a certain way convey a certain meaning. Expressions come in many forms, for instance, some of them are collocations, others are common phrases, while others are idioms or even phrasal verbs.

The written expression refers to a highly complex, cognitive, self-directed process. Higher-order components include planning, translating (drafting), reviewing, and revising.

Emotional expression is simply the acknowledgment of these emotions we are built to feel. Healthy expression allows us to understand emotions, truly feel them, and move on.

[tex]\sqrt{8x^{5} } =2\sqrt{2} x^{2} \sqrt{x}\\\sqrt{18x^{5} }=\sqrt{2} 3x^{2} \sqrt{x}\\=2\sqrt{2} x^{2} \sqrt{x}-\sqrt{2} 3x^{2} \sqrt{x}\\=-\sqrt{2} x^{2} \sqrt{x}[/tex]

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Which statement about the ordered pairs (-9, 3) and (2, -4) is true for the equation 6x=14? 2
Both ordered pairs are solutions.
(-9, 3) is a solution to the equation.
Neither ordered pair is a solution.
(2, 4) is a solution to the equation.​

Answers

Answer:

neither ordered pair is a solution

Step-by-step explanation:

to determine if the pairs are a solution, substitute the x- coordinate into the left side of the equation and if equal to the right side then they are a solution.

(- 9, 3 ) with x = - 9

6(- 9) = - 54 ≠ 14 ← not a solution

(2, - 4 ) with x = 2

6(2) = 12 ≠ 14 ← not a solution

If I have the numbers 2,5,9,7,4,11 what is the smallest fraction I can make?

Answers

Answer:

2/5+9+7+4+11 or 2/11

Step-by-step explanation:

2 is the smallest then we just add everything on the bottom together

Or just 2/11 since 2 is the smallest and 11 is the biggest

If you have a question ask

Which one of the following points lies on the line 3y=2x-1?

Answers

The graph given below y = -x + 2 have a negative slope and a positive y intercept. The point (2, 1) lies on the line 3y = 2x - 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The graph given below have a negative slope and a positive y intercept. The graph is given by y = -x + 2

Given the equation

3y = 2x - 1

When x = 2:

3y = 2(2) - 1

y = 1

Therefore, The point (2, 1) lies on the given line 3y = 2x - 1

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PLEASE HELP IMMEDIATELY

Answers

Answer:  55 degrees

Step-by-step explanation: If the Whole is 180 and you subtract 125 degrees you are left with 55.

find the perimeter of rectangle BCEF. (0,3) (4,-1) (2,-3) (-2,1)

Answers

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ 4- 0~~)^2 + (~~ -1- 3~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 4 )^2 + ( -4)^2}\implies \boxed{BC=\sqrt{32}}[/tex]

[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad E(\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) ~\hfill CE=\sqrt{(~~ 2- 4~~)^2 + (~~ -3- (-1) ~~)^2} \\\\\\ ~\hfill CE=\sqrt{( -2)^2 + ( -2)^2}\implies \boxed{CE=\sqrt{8}} \\\\\\ E(\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad F(\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) ~\hfill EF=\sqrt{(~~ -2- 2~~)^2 + (~~ 1- (-3)~~)^2} \\\\\\ ~\hfill EF=\sqrt{( -4)^2 + ( 4)^2}\implies \boxed{EF=\sqrt{32}}[/tex]

[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{0}~,~\stackrel{y_2}{3}) ~\hfill FB=\sqrt{(~~ 0- (-2)~~)^2 + (~~ 3- 1~~)^2} \\\\\\ ~\hfill FB=\sqrt{( 2)^2 + ( 2)^2}\implies \boxed{FB=\sqrt{8}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter} }{\sqrt{32}+\sqrt{8}+\sqrt{32}+\sqrt{8} ~~ \approx ~~ \text{\LARGE 16.97}}[/tex]


Use a table to solve each equation. Round to the nearest hundredth.
5²x=56

Answers

[tex]5^{2x}[/tex] = 56 => x = 1.252, by properties of logarithm.

What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given: [tex]5^{2x}[/tex] = 56

Taking logarithm on both sides:

=>log([tex]5^{2x}[/tex])  = log (56)

As [tex]log_b(a)^m = m (log_b(a))[/tex],

=> 2x ( log 5) = log (56)

=> 2x = [tex]\frac{log56}{log5}[/tex]

=> 2x = [tex]\frac{1.748}{0.698}[/tex]

=> 2x = 2.504

=> x= 1.252

Hence, [tex]5^{2x}[/tex] = 56 => x = 1.252, by properties of logarithm.

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which trinomials are perfect square trinomials? select each correct answer. m2 10m 100 m squared plus 10 m plus 100 m2 36m 60 m squared plus 36 m plus 60 m2 10m 25 m squared plus 10 m plus 25 m2 24m 144 m squared plus 24 m plus 144 skip to navigation

Answers

Answer:

You can use the definition of perfect square trinomials to find which of the given trinomials are perfect squares.

The trinomials which are perfect squares are:

Option B:

Option D:

What are perfect squares trinomials?

They are those expressions which are found by squaring binomial expressions.

How to find which of the given trinomials are perfect square trinomials?

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was am + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

Checking all options:

Option A:

Comparing it with the standard form we obtained, we have:

Option B:

Comparing it with the standard form we obtained, we have:

Thus, this trinomial is perfect squares trinomial.

Option C:

Comparing it with the standard form we obtained, we have:

Option D:

Comparing it with the standard form we obtained, we have:

Thus,   this trinomial is perfect squares trinomial.

Thus,

The trinomials which are perfect squares are:

Option B:

Option D:

Step-by-step explanation:

I need help with question 1

Answers

Tuesday and Thursday

Hi i need the explanation for this question in the photo asap!!!!!!​

Answers

First find cumulative frequency or running total.

Find the middle number i.e. 13

Find in what range the 13th number lies

1 is therefore the answer

Use long division to convert 11/20 to a decimal.

Answers

It should be noted that converting 11/20 to a decimal through division will gives 0.55.

How to illustrate the information?

This can be illustrated as follows. It should be noted that the quotient is the value obtained by dividing one value by another. The quotient is 11.

The divisor is the value that divides. It should be noted that in this case, this is illustrated as 20.

It should be noted that 11 is the numerator and 20 is the denominator.

Therefore, it should be noted that converting 11/20 to a decimal through division will gives 0.55.

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what is 5 - x = 12?

Answers

Answer:

x = -7

Step-by-step explanation:

to solve this first subtract 5 to both sides

5 - x - 5 = 12 - 5

- x = 7

now multiply -1 to both sides

-x(-1) = 7(-1)

x = -7

that is your answeer

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