the membership for a local zoo is $135. Members do not pay admissions, but they are charged $3 to park. Non-member admission is $25 for the zoo and $5 for the parking. After how many visits have members and non-members paid the same amount?

Answers

Answer 1

The members and non-members who pay the equal cost after 5 visits for the local zoo.

What is defined as the term equations?When one variable is determined to be equal to the other, the equation formula method is used to calculate the value of the a second variable.This second variable's value is the value that the others have same value.

For the given question;

The cost of membership of local zoo is $135 for members.

The parking cost is $3 for members.

Non-member admission cost is $25 for the zoo and $5 for the parking.

Let the number of number of visits paid the same amount be 'x'.

Then, the equation becomes.

Members: m = 135 + 3x

Non-Members: n = 25x + 5x

As, members and non-members are equal.

m = n

Put the values;

135 + 3x = 25x + 5x

135 + 3x = 30x

27x = 135

x = 5

Thus, members and non-members who pay the equal cost after 5 visits.

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Related Questions

Solve The Equation
-1.9 = 0.5(p +1.7)

Whoever answer first gets brainliest!

Answers

Answer:

p=-5.5

Step-by-step explanation:

To solve this equation, use the distributive property. Isolate the difference between the numbers from one side of the equation.

Distributive property:

A(B+C)=AB+AC

-1.9 = 0.5(p +1.7)

First, switch sides.

0.5(p+1.7)=-1.9

Divide by 0.5 from both sides.

[tex]\sf{\dfrac{0.5\left(p+1.7\right)}{0.5}=\dfrac{-1.9}{0.5}}[/tex]

Solve.

-1.9/0.5=-3.8

p+1.7=-3.8

Then, you subtract by 1.7 from both sides.

p+1.7-1.7=-3.8-1.7

Solve.

Add or subtract the numbers from left to right.

-3.8-1.7=-5.5

[tex]\rightarrow \boxed{\sf{p=-5.5}}[/tex]

Therefore, the correct answer is p=-5.5.

I hope this helps, let me know if you have any questions.

The value of p on the equation - 1.9 = 0.5(p +1.7) is - 5.5.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, we have to solve for p in the equation - 1.9 = 0.5(p +1.7).

0.5(p + 1.7) = - 1.9

First, we'll distribute the terms.

0.5p + 0.85 = - 1.9.

0.5p = - 1.9 - 0.85.

0.5p = - 2.75.

p = - 2.75/0.5.

p = - 5.5

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Solve systems using inverses:
Solve the system:
4x - 5y + z = 9 6X + 8y - Z=27 3x – 2y + 5z = 40
(?, ?, ?)

Answers

Answer:

Step-by-step explanation:

4 x - 5 y + z = 9z = - 27 + 6 x + 8 y3 x

Mellisa is buying party favors to make gift bags

Answers

what’s the question??

Write an expression for the amount of money (in nickels) in n dollars.

PLEASE HELP ITS DUE IN AN HOUR

Answers

An expression for the amount of money (in nickels) in n dollars is 20n nickels.

How many nickels are in a dollar?

A nickel is a five-cent coin produced by the United States Mint that is made of a copper-nickel alloy rather than silver. Because 100 cents equal one dollar and one nickel equals five cents, we conclude that 20 nickels are equivalent to one dollar.

To write an expression for the amount of money (in nickels) in n dollars,

Convert the n dollars to nickels.

1 dollar = 20 nickels

So, n dollars = 20n nickels

The required expression for the amount of money (in nickels) in n dollars is 20n nickels.

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The expression below is scientificnotation for what number?9.9x10^7

Answers

To change the number from scientific notation to normal number multiply 9.9 by 10^7

[tex]9.9\times10,000,000=99,000,000[/tex]

The number is 99,000,000

1677/203 as a reduced fraction

Answers

This is an improper fraction since the absolute value of the numerator (1677) is greater than the absolute value of the denominator (203). We can say that this fraction cannot be reduced.

Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers.

Answers

By definition, a sample space is a collection or a set of possible outcomes of a random experiment. In our problem, we have four different outcomes. A, B, C and D. This is our sample space

[tex]S=\lbrace A,B,C,D\rbrace[/tex]

Question 4c. Want to clarify something I want to ask right why does it become 3y square +6y-y-2

Answers

Answer:

Explanation:

Given the expression:

[tex]3y^2+5y-2[/tex]

We want to write the given expression in the form:

[tex](ay-b)(y+c)[/tex]

That is, to factorize the expression.

When an expression is to be factorized, follow the steps below:

Step 1: Multiply the coefficient of x² and the constant.

[tex]-2\times3y^2=-6y^2[/tex]

Step 2: Find two terms that multiply to give the product -6y², and add to give the middle term, 5y. To do this, list the factors of -6: 1, 2,3, and 6

[tex]\begin{gathered} 6y\times-1y=-6y^2 \\ 6y+-y=5y \end{gathered}[/tex]

Step 3: Rewrite the middle term, 5y with those numbers.

[tex]\begin{gathered} 3y^{2}+5y-2 \\ =3y^2+6y-y-2 \end{gathered}[/tex]

Step 4: Factor the first two and last two terms separately. Ensure that the expression in the brackets is the same.

[tex]\begin{gathered} =3y(y+2)-1(y+2) \\ =(3y-1)(y+2) \end{gathered}[/tex]

PLS ANSWER THIS MATH PROBLEM!!

Answers

For the linear function y = 2/3x + 1 given in this problem, we have that:

a) The slope is of 2/3 and the intercept is of 1.

b) The y-intercept is marked at y = 1 on the y-axis.

c) Using the slope and the intercept, point (3,3) is the second point used to graph the function.

d) The graph of the linear function y = 2/3x + 1 is given at the end of the answer.

How to we graph the linear function?

In slope-intercept format, a linear function is defined as follows:

y = mx + b.

For this problem, the function is:

y = 2/3x + b.

Hence:

The slope is of m = 2/3, meaning that when the input x increases by 3, the output y increases by 2.The intercept is of b = 1, meaning that the graph of the function crosses the y-axis(vertical axis), at y = 1.

From the intercept, we know that point (0,1), which has x = 0 and y = 1, is part of the graph of the function.

Considering the concept of the slope, of change in y divided by change in x, we have that:

y + 2 = 1 + 2 = 3.x + 3 = 0 + 3 = 3.

Hence point (3,3) also belongs to the graph of the given function. Given two points, we can graph a line passing through them, hence the graph is given at the end of the answer, and represents the function y = 2/3x + 1.

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5. If c = -1 and d = -2, what is the value of the expression 2c²d-3cd?a. -10b. -24c. 2d. 10e. -2

Answers

Recall that to evaluate an expression at some given values, we substitute each variable with the corresponding given value.

Evaluating 2c²d-3cd at c=-1 and d=-2 we get:

[tex]2(-1)^2(-2)-3(-1)(-2).[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} 2(1)(-2)-3(-1)(-2), \\ -4-6, \\ -10. \end{gathered}[/tex]

Answer: Option a.

Answer:

-10

Step-by-step explanation:

Substitute variable values for variables.

[tex]2(-1)^2(-2) - 3(-1)(-2)[/tex]

Simplify

2(1)(-2) - 6

-4 - 6

-10

Which of the following shows a correct way of simplifying 6+(3-5x)

Answers

Answer: 9 - 5x

Step-by-step explanation:

6 + (3 - 5x) = 6 + 3 - 5x = 9 - 5x

How can we guarantee that a polynomial is not a perfect square, considering just the constant term? For instance, in 4, the constant term is -121, in 2, the constant term is 36. Which of them cannot be a perfect square and why, based only on the constant term?

Answers

Regarding perfect squares, it is found that:

A negative constant guarantees that the polynomial is not a perfect square.The polynomial with a constant term of -121 is not a perfect square.

Perfect squares

Perfect square expressions are formed with the notable products of the square of the sum or the square of the subtraction, as follows:

(a + b)² = a² + 2ab + b² -> square of the sum.(a - b)² = a² - 2ab + b² -> square of the subtraction.

The constant term of perfect squares, in both cases, is given by:

b².

Since the number is squared, it will always be a positive value, meaning that a negative constant term guarantees that the polynomial is not a perfect square.

The polynomial with a negative constant in this problem has a constant of -121, hence it is not a perfect square.

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What is the congruence, if any , that will prove the given triangles congruent?

Answers

Given:

The triangle FTP and triangle JTA is given.

In the given triangles,

[tex]\begin{gathered} \angle P\cong\angle A \\ \angle F\cong\angle J \\ \angle T\cong\angle T \end{gathered}[/tex]

As only three angles of both triangles are similar we can not say that the given traingles are congruent.

So, Option A is correct.

Let 0 be an angle in quadrant

Answers

If angle theta is given as;

[tex]\cos \theta=-\frac{4}{5}[/tex]

And angle theta is in the third quadrant, then we can find the value of y by using the pythagoras' theorem as follows;

[tex]\begin{gathered} r^2=x^2+y^2 \\ When\text{ cos}\theta=-\frac{4}{5},\text{ and cos}\theta=\frac{x}{r} \\ \text{Then,} \\ x=-4,r=5 \\ \text{Therefore,} \\ 5^2=-4^2+y^2 \\ 25=16+y^2 \\ \text{Subtract 16 from both sides;} \\ 9=y^2 \\ \text{Take the square root of both sides;} \\ y=3 \end{gathered}[/tex]

Note also that;

[tex]\sin \theta=\frac{y}{r}[/tex]

However, the angle theta is in the third quadrant where y is also negative. Therefore, sin theta would be;

[tex]\begin{gathered} \sin \theta=\frac{y}{r} \\ \sin \theta=-\frac{3}{5} \end{gathered}[/tex]

Note also that cosec theta is given as;

[tex]\begin{gathered} \csc \theta=\frac{1}{\sin \theta} \\ \csc \theta=\frac{1}{-\frac{3}{5}} \\ \csc \theta=-\frac{5}{3} \end{gathered}[/tex]

Note also that, tan theta is given as;

[tex]\tan \theta=\frac{\sin \theta}{\cos \theta}[/tex]

Therefore, we would have;

[tex]\begin{gathered} \tan \theta=-\frac{3}{5}\text{ / -}\frac{4}{5} \\ \tan \theta=-\frac{3}{5}\times-\frac{5}{4} \\ \tan \theta=\frac{3}{4} \end{gathered}[/tex]

ANSWER:

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8. If APTS - APOR, find the value of x.5x + 13TP36306.r - 2R

Answers

The triangles PTS and POR are similar, so we can take the ratios of the side to order

[tex]\frac{PT}{ST}=\frac{PQ}{SQ}[/tex]

[tex]\frac{36}{30}\text{ =}\frac{5x\text{ + 13}}{6x\text{ - 2}}[/tex]

[tex]\begin{gathered} \text{cross multiplying} \\ \\ 30\text{ (6x - 2) = 30 (5x + 13)} \\ \\ \text{Expanding the parenthesis} \\ \\ 30\text{ x 6x - 30 x 2 = 30 x 5x + 30 x 13} \\ \\ 180x\text{ -60 = 150x + 390} \end{gathered}[/tex]

We can then solve for x by collecting like terms

180x - 150x = 390 + 60

30x = 450

Divide both sides by 30

x = 450/ 30

x = 15

2sinxcosx/sin^2x+cos^2x-1=1

Answers

The simplified equation is sin(2x) = 2

How to determine the value of the trigonometry formula?

The trigonometry ratio is given as

2sinxcosx/sin^2x+cos^2x-1= 1

Rewrite the equation of the trigonometry formula properly