Mathematics Middle School

splashtown charges an entrance fee of $25 plus $1 for each ride. Schlitterbahn charges a $40 entrance fee and all the rose are free. After how many rides would Schlitterbahn be cheaper than splashtown

Answers

Answer 1
Splashtown: 25 + 1x
Schlitterbahn: 40
25 + 1x = 40
-25 -25
0 1x = 15
x = 15
So after 15 rides, Schlitterbahn would be cheaper than Splashtown.
Answer 2

Schlitterbahn becomes cheaper than Splashtown after more than 15 rides.

Let's define x as the number of rides:

Cost of Splashtown: $25 + $1 * x
Cost of Schlitterbahn: $40

We need to find the value of x for which the cost of Splashtown becomes greater than the cost of Schlitterbahn.

$25 + $1x > $40

$1x > $40 - $25

x > $15

So, after more than 15 rides, Schlitterbahn would be cheaper than Splashtown.

Related Questions

The volume of 1000 drops of a liquid is 0.1 fluid ounce.
What is the volume of 10,000 drops?

Answers

1 fluid ounce


1000= 0.1

when you add zeros you move the decimal point over to the left making it

10,000= 1fluid ounce

Final answer:

To find the volume of 10,000 drops, if 1000 drops equal 0.1 fluid ounce, we multiply the volume by 10 to get 1.0 fluid ounce.

Explanation:

The volume of 10,000 drops of a liquid, when 1000 drops is equivalent to 0.1 fluid ounce, can be calculated using a simple ratio. If 1000 drops equal 0.1 fluid ounce, then we can multiply both the number of drops and the volume by 10 to find the volume of 10,000 drops:

1000 drops = 0.1 fluid ounce

10,000 drops = 1.0 fluid ounce (since 0.1 fluid ounce x 10 = 1.0 fluid ounce)

Therefore, the volume of 10,000 drops is 1.0 fluid ounce.

(CESGRANRIO) Determine o parâmetro m na equação x²+mx+m²-m-12=0, de modo que ela tenha uma raíz nula e outra positiva.

Answers

Vamos lá. 

Pede-se para determinar o parâmetro "m" da equação abaixo, sabendo-se que uma raiz é nula e a outra é positiva: 

x² + mx + m² - m - 12 = 0 

Veja que se uma raiz é nula (é igual a zero), então vamos substituir o "x" por "0", na equação acima: 

0² + m*0 + m² - m - 12 = 0 
0 + 0 + m² - m - 12 = 0 
m² - m - 12 = 0 ------resolvendo essa equação do 2º grau você encontrará as seguintes raízes: 

m' = -3 
m'' = 4 

Dessa forma, vamos substituir "m" por (-3) e por 4 e ver se a equação terá uma raiz nula e outra positiva. Vamos ver? 

Substituindo "m" por "-3", ficamos com: 

x² - 3x + (-3)² - (-3) - 12 = 0 
x² - 3x + 9 + 3 - 12 = 0 
x² - 3x +12 - 12 = 0 
x² - 3x = 0 <------Veja que as raízes dessa equação são: x' = 0 e x'' = 3 
Veja que para m = -3, a equação se verifica, pois temos uma raiz igual a "0" e a outra positiva (igual a 3). 

Agora vamos substituir "m" por 4 na equação original: 

x² + 4x + 4² - 4 - 12 = 0 
x² + 4x + 16 - 16 = 0 
x² + 4x = 0 <----- Veja que as raízes dessa equação são: x' = 0 e x'' = -4. 
Observe que, para m = 4, a equação NÃO se verifica, pois temos uma raiz igual a "0" e a outra negativa (igual a -4). E no enunciado é informado que uma raiz deverá ser nula e a outra positiva. Como deu uma nula e a outra negativa, então m = 4 não convém. 

Logo, o valor de "m" deverá ser: 

m = -3 <----Pronto. Essa é a resposta. 

10. Rosa received a monthly raise of $162.50. If this represented a 6.5% increase, what is her monthly salary after the raise?

Answers

$187.05 because you divide her raise by the percent increase and you get 25. So then you add 25 to 162.50

Answer:

$137.5

Step-by-step explanation:

First, you need to divide $162.50 by 6.5

If you divide correctly you should get 25

Since that month she got an increase, which means you have to subtract 25 from $162.50.

Answer: $137.5

A hinged lid opens 89 degrees. What type of angle is formed by the open lid?

Answers

The hinged lid created a acute angle

any angle that measures less than 90 is a acute angle
any angle that measures 90 is right angle
any angle that measures more than 90 is obtuse angle 

90 being 90 degrees

hope this helps

How do you write 4/5 as a percent

Answers

Next look at 5 going into 40, which = 8. This gives you the answer 0.8 this is the answer of 8tenths. To form a percent multiply the decimal by 100 (or move decimal two places to the right) because % is always out of 100. Place a % sign at the end and rid the decimal. soo your answer  is 80%

To find the answer you do 4 divided by 5 which = 0.8 
Then, you move the decimal over two spaces to the right or multiply it by 100 and there's your answer. So, doing this you get:
80%

By graphing the system of constraints, find the values of x and y that maximize the objective function.
x+y≤8
2x+y≤10
x≥0
y≥0

Can someone explain to me how to solve this/these types of problems? Don't just answer it, explain.

Answers

The easiest method to solve problems like this is to graph the inequalities given and shade the regions that make them true. When you have properly shaded all of the regions, you will find that you have a region which is bounded on all four sides by one of the inequalities, and then you can find the x and y values which correspond to the vertices of the shaded region.

You didn't provide a function that you are trying to maximize in this example, but the idea is that you take all of the (x,y) points which correspond to the vertices and plug them into your objective function. The one which produces the largest value maximizes it (it is a similar process for minimizing it, but you'd be looking for the smallest value). Let me know if you need more help than that, or would like me to work out the example you have provided (I will need an objective function for it though).

An expression is Show : 6x(4+2x4)+10 what is the value of the expression

Answers

 6x(4+2x4)+10
 6x(4+8)+10
 6x X 12 + 10
 72x + 10

solve the equation for y.
xy-7y=49

Answers

We have the equation xy-7y=49.

First, we factor out the common term for "y"
y(x - 7) = 49

Now, divide both sides by x - 7.

y = 49/x-7 <====

The solution of the given equation xy-7y=49 for y is y = 49/(x-7) for all values of x not equal to 7.

To solve the equation xy-7y=49 for y, first we can factor out y from the left side of the equation which gives us y(x-7)=49.

Then we can isolate y by dividing both sides of the equation by (x-7).

This gives us y = 49/(x-7).

This solution assumes that x is not equal to 7 because division by zero is undefined.

Hence, the solution is y = 49/(x-7) for x ≠ 7.

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Write an algebraic expression that illustrates the multiplicative identity.

Answers

8*1=8 or 7*1=7
basically anything times one

Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. 6cos2(θ) + cos(θ) - 1 = 0 2 - 2sin2(θ) = cos(θ)Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. A. 6cos2(θ) + cos(θ) - 1 = 0 B. 2 - 2sin2(θ) = cos(θ)

Answers

I may be wrong, but I believe this would be the answer:
6cos^2(θ) + cos(θ) - 1 = (2cos(θ) + 1)(3cos(θ) - 1) = 0 

cos(θ) ∈ {-1/2, 1/3} 

cos(θ) = -1/2 ⇒ θ ∈ {2π/3, 4π/3} 

cos(θ) = 1/3 ⇒ θ ∈ {Arccos(1/3), 360° - Arccos(1/3)} ≈ {70.53°, 289.47°} 


2cos²(θ) - cos(θ) = cos(θ)(2cos(θ) - 1) = 0 ⇒ 

cos(θ) ∈ {0, 1/2} ⇒ x ∈ {60°, 90°, 270°, 300°}
Hope this helped and have a great day!

2 1/9 of what number is 76?

Answers

So, 2 1/9 = (2·9 + 1)/9 = 19/9;
Then, (19/9)·y = 76;
19·y = 9·76;
19·y = 684;
y = 684/19;
y = 36 ( is the number);

The value of the unknown number is 36. 2 1/9 of 36 is 76.

The is the value of the missing number?

Given the parameter:

2 1/9 of what number is 76?

To solve for the unknown value, first, convert the mixed fraction to an improper fraction:

2 1/9 = ( 9×2 + 1 )/9 = 19/9

Now, we set up the equation:

Let 'x' represent the unknown number:

19/9 of x is 76

19/9 × x = 76

Solve for x:

19x/9 = 76

19x = 9 × 76

19x = 684

x = 684/19

x = 36

Therefore, the value of x is 36.

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Given: 5x+3> 4x+7 Choose the graph of the solution set

Answers

Answer:

First solve the inequality to determine the solution set. Solving the inequality we have

[tex]5x+3>4x+7[/tex]

[tex]5x-4x>7-3[/tex]

[tex]x>4[/tex]

Then, the solution set is [tex]\{x\in \mathbb{R}\lvert x>4\}=(4,\infty)[/tex]. The solution is the interval [tex](4,\infty)[/tex] and it can be represented by the following graph.

Step-by-step explanation:

Answer:

x > 4 is a solution to the given inequality.

Step-by-step explanation:

We are given an inequality in the question.

[tex]5x+3> 4x+7[/tex]

We have to graph this inequality.

In order to graph this inequality, we first solve the inequality.

Solution to inequality:

[tex]5x+3> 4x+7\\5x>4x + 7-3\\5x>4x+4\\5x-4x>4\\x>4[/tex]

In interval form we can write the solution as:

[tex]x \in (4, \infty)[/tex]

The attached image shows the graph for the given inequality.

The dotted line on the graph shows that the points on the line does not belong to the solution set.

All the points in the red shaded region is a solution he given inequality.

A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375 cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?

Answers

The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.

The volume of a cylinder is given by:

[tex]V=\pi r^2h[/tex]
where: r is the radius of the cylinder and h is the height of the cylinder.

Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:

[tex]V=\pi(0.75)^2(1.5)=0.84375\pi=2.65072cm^3[/tex]

Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.

Answer:

15.75 pi cm^3

Step-by-step explanation:

I got this question on a test and this was the right answer


Celia hiked at a constant rate of 15 miles per day for 6 days. How many miles did Celia hike during that time?

A. 200 mi.
B. 170 mi.
C. 100 mi.
D. 90 mi.

Answers

The answer is D. 90 miles. You can figure this out by multiplying 15 by 6, as Celia hiked 15 miles every day for 6 days, so 15, 6 times, and 15 x 6 = 90.
D.90 because 15 multiplied by 6 equals 90.

What is 17.565x10 to the power of 2

Answers

17.565x10 to the power of 2
=17.565x10^(2
=175.65^(2
=30852.9225

17.565x10=175.65
175.65^2= 30,852.9225

A set designer builds a model of a stage and the different pieces of furniture on it. He uses a scale of 5 cm to 1m. The length of a table is 1.4m. What is the length of the model?

Answers

To solve this problem, we simply have to use ratio and proportion. We know that for every 5 cm, we have 1 m therefore the factor to use is:

5 cm / 1 m

 

SO for a table length of 1.4 m, the model length should be:

model = (5 cm / 1 m) * 1.4 m

model = 7 cm

 

Answer:

7 cm

what is the highest point from turpan pendi china -154m and mt Everest 8850m

Answers

you cannot have negative distance, and so - 154 is really +154, only in the other direction. (your just starting more behind, and traveling to the same point)

So 154 + 8850 = 9004

9004m is your answer

hope this helps

Solve the equation. 3|3k| = 27

A.) {-9, 9}

B.) {-3, 3)

C.) {-3, 9}

D.) -3 < k < 3

Answers

The answer is B. -3, 3
This is why:
3|3*3| = 27
3|9| = 27
3*9 = 27
The same will happen with -3 since this | means the distance from the number to zero and in this case it is 3 units til you reach zero. So the answer is B. 3, -3

By applying basic property of modulus function we got value of k as 3 and -3

What is modulus function ?

Modulus function gives magnitude of a number . It's represented by |x|

Given equation

[tex]3|3k|=27\\[/tex]

we can simplify this equation as

[tex]|3k|= \frac{27}{3}\\\\|3k|=9[/tex]

As 3 is a positive number we can take it out from modulus as it is

[tex]3|k|=9\\\\|k| = \frac{9}{3}\\\\|k|=3[/tex]

As we know modulus function gives magnitude of a number so can k can be 3 and -3

By applying basic property of modulus function we got value of k as 3 and -3

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what is the slope of the line that connects the points (1,3)and (2,2)

Answers

you subtract the x intercepts so 1-2= -1 then you do the y intercepts so 2-3=-1 so -1/-1 would equal 1 because the negatives cancel out and anything over the same number would be 1

What is another way to refer to ∠EFG ?
A.∠E
B.∠G
C.∠GFE
D.∠FGE

Answers

C.∠GFE Is the answer.

The answer is C: ∠GFE

find the value of the underlined 9 10,698

Answers

90-------tenths place

Question for you people.

What is 13 + c = -9(btw it's a negative 9)

Answers

I believe that c would equal -22

Hope this helps!

c =-22 because it c has to be a negative. so negative 22 plus positive 13 is -9

Olivia ate four times as much salad as Reagan. If Reagan ate r salad, which equation can be used to find the amount of salad Olivia ate, v?

A. 4r = v
B. r + 4 =
C.v + 4 = r
D. 4v = r

Answers

the answer would be A because if she ate 4 times more then all you have to do is multiply r by four  

Answer:

A. 4r = v

Step-by-step explanation:

the amount of salad Reagan ate is r.

If Olivia ate 4 times as much salad as Reagan, then she ate r amount multiplied by 4:

4r

Thus, the equation than can be used to describe the amount of salad for Olivia is:

4r = v

This is because this equation tells us that 4 times the amount of salad Reagan ate (4r) is equal to what Olivia ate (v)

Brad has a stack of 7 books on his desk. Each book is 1 and 7/8 inches thick.How tall is the stack?

Answers

1 7/8 times 7 equals  13 1/8
Hope this helps :D

Answer:

uuuuuuu

Step-by-step explanation:

Subtract.

16−(−713)



Enter your answer, as a mixed number in simplest form, in the box.

Answers

Is it 729 lol why would you put it as mixed number
-697 becuase you would do 16+-713

answer a,b, and c please

Answers

a.
Expenses: $3.38 + $5.57 = $8.95
Sale price: $15.99
Profit = sale price - expenses = 15.99 - 8.95 = 7.04
7.04/15.99
7/16

b. 7.04/15.99 = 0.44

c. 223.86/15.99 = 14
She sold 14 necklaces.

Profit: $14 * 7.04 = $98.56

What property did Ramon use? 150+214+89=214+89+150

Answers

This is the communicative property. This means you just move the numbers around, but the result will be he same as long as you’re ADDING
Final answer:

Ramon used the Commutative Property of Addition in the equation 150+214+89=214+89+150. This property indicates that the order in which numbers are added doesn't affect the result.

Explanation:

In the given equation, 150+214+89=214+89+150, Ramon is using an important property of addition known as the Commutative Property. The Commutative Property of Addition states that the order in which numbers are added does not change the sum. For example, if we have two numbers, 5 and 3, adding them in any order (5+3 or 3+5) will always give us the same result, which is 8. Hence, in this question, whether you add 150, 214 and 89 in the given order or reverse, the sum remains the same. Therefore, you can see how Ramon made use of the Commutative Property to rearrange the numbers while still keeping the total sum the same.

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What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?


13.4 units

17.9 units

26.8 units

40.0 units

Answers


26.8 units

What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?


13.4 units

17.9 units

26.8 units

40.0 units

A group of fans at a football game are sitting in 7 rows with 28 in each row. In the center, a section of 14 fans in 3 rows and a section of 11 fans in 3 rows have cards spelling out the team name. How many fans do not have a card?

Answers

I believe it would be 75.
I hope this helps
Final answer:

Out of 196 fans, 75 fans have cards. Therefore, 121 fans do not have a card.

Explanation:

The question is asking how many fans do not have a card at a football game. Initially, there are 7 rows of fans with 28 fans in each row, which gives us 196 fans in total (7 * 28). In the center, there are two sections where fans have cards. The first section has 14 fans in 3 rows, which equates to 42 fans (14 * 3), and the second section consists of 11 fans in 3 rows, which makes 33 fans (11 * 3). So, the total number of fans with cards is 75 (42 + 33). To find out how many fans do not have a card, we subtract the number of fans with cards from the total number of fans. Therefore, the answer is 196 - 75 = 121 fans.

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steps for solving 3x+18=54 are shown explain how step 1 helps solve the equation.

Answers

its c or b but i believe its c

Answer:

Option C is correct

Subtracting 18 from both sides isolates the variable term

Step-by-step explanation:

Given an equation:

[tex]3x+18 = 54[/tex]

Subtract 18 from both sides we get;

Step 1.

[tex]3x+18-18 = 54-18[/tex]

Simplify:

Step 2.

[tex]3x = 36[/tex]

Divide both sides by 3 we have;

Step 3.

[tex]\frac{3x}{3}=\frac{36}{3}[/tex]

Simplify:

Step 4.

x = 12

Therefore, Subtracting 18 from both sides isolates the variable term in step 1 helps to solve the equation.

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