Dominic is deciding if he should become a member of his local ice rink.

The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates.
Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates.
1. When is it better to be a member?
After 4 visits how much would each pay? Member: $_________ Non-Member: $__________
After 6 visits how much would each pay? Member: $_________ Non-Member: $__________
2. Write an equation that could be solved for the number of visits it would take for the cost of the non-member to be equal to the member.

3. Solve the equation.

4. What is the total cost for each?

5. Explain how Dominic could use the above results to make his decision on becoming a member.

Answers

Answer 1

After 4 visits, members would pay $160

After 4 visits, non-members would pay $80

After 6 visits, members would pay $168

After 6 visits, non-members would pay $120.

The equation that can be used to solve for the number of visits the cost would be equal is $144 + 4n = $20n

The total cost for members and non-members would be $180.

Dominic can guess the number of visits he plans to make in a year. If it would be greater than 9, he should pay for the membership. If not, he should not become a member.

What is the total cost for members and non members after 4 and 6visits?

Total cost for members = annual fee + (number of visits x cost per visit)

Total cost for non-members = (admissions + parking + cost of renting the ice skate) x number of visits

After 4 visits:

Total cost for members = $144 + (4 x 4) = $160

Total cost for non-members = (11 + 5 + 4) x 4 = $80

After 6 visits:

Total cost for members = $144 + (4 x 6) = $168

Total cost for non-members = (11 + 5 + 4) x 6 = $120

The equation that can be used to solve for the number of visits the cost would be equal is: $144 + 4n = $20n

In order to determine the value of n, take the following steps:

Combine similar terms: $144 = $20n - $4n

Add similar terms together : $144 = $16n

Divide both sides by 16 : 144 / 16

n = 9

Total cost = $20 x 9 = $180

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Related Questions

In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are both college graduate and army veterans as shown above, how many are neither college graduate nor army veterans?

Answers

Answer:

the number of recruits neither be college graduate and nor army veterans is 30

Step-by-step explanation:

The computation of the number of recruits neither be college graduate and nor army veterans is as follows;

= Total recruits - (college students + army veterans - both college graduates & army veterans)

= 120 recruits - (80 + 25 - 15)

= 120 recruits - 90  

= 30

hence, the number of recruits neither be college graduate and nor army veterans is 30

Find the volume of the square pyramid. Round your answer to the nearest hundredth.
A. 11.16 cubic yards
B. 54.25 cubic yards
C. 60.26 cubic yards
D. 96.12 cubic yards

Find the volume of the square pyramid. Round your answer to the nearest hundredth.A. 11.16 cubic yardsB.

Answers

Answer:

B

Step-by-step explanation:

The number 650,000 written in scientific notation would be _____.

A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6

Answers

Answer:

B

Step-by-step explanation:

650000 = 10⁵x 6.5

Answer:

The answer is b.

Step-by-step explanation:

Gabby is buying flowers for a friend. She can choose daisies, carnations, or sunflowers. She can put the flowers in a clear, red, or blue vase. Which table shows all of the possible combinations?.

Answers

Combination tells the number of ways an object can be arranged. The number of all of the possible combinations Gabby can have is 9.

What is Combination?

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

\(^nC_r = \dfrac{n!}{r!(n-r)!}\)

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of options of the flower with Gabby is 3( daisies, carnations, or sunflowers) and the color choices she has is (clear, red, or blue), therefore, she \(^3C_1\) choices for the flower, also, she has \(^3C_1\) choices for color.

\(\text{Total number of choices with Gabby} = \text{Choices of flower} \times \text{Choices of color}\)

                                                         \(= ^3C_1 \times ^3C_1 \\\\= 9\)

Hence, the number of all of the possible combinations Gabby can have is 9.

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i flip a fair coin and draw a card randomly from a standard 52-card deck. you want to know the probability the coin comes up heads and the card is a heart. which rule of probability would help you?

Answers

On solving the provided question, we can say that - the probability the coin comes up heads and the card is a heart is 1/26

What is probability?

The probability that something will occur is the foundation for it. The foundation of theoretical probability is the justification of probability. For instance, the theoretical likelihood of receiving heads while tossing a coin is 1/2. A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty.

let

e1 be the drawing a card from a deck of 52 cards,

and,

e2 be the flipping of a coin,

These two events are mutually exclusive. so,

\(P(E1) = 4/52 = 1/13\\P(E2) = 1/2\\now, P(E1 and E2 ) = P(E1) * P(E2) = (1/13)*(1/2) = 1/26.\\\)

Answer is 1/26.

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I NEED HELP PLEASE: If x and y are proportional, fill in the blank with a number in simplest form. ​

I NEED HELP PLEASE: If x and y are proportional, fill in the blank with a number in simplest form.

Answers

It’s times 2 hopefully this helps you got this!!!

A shopper pays $1,014 for a $975 carousel horse after sales tax is added. What is the sales
tax percentage?
Write your answer using a percent sign (%).
Vic

Answers

Answer:

4%

Step-by-step explanation:

Final Price = 1014

Initial Price = 975

SALES TAX FORMULA: (Final/Initial Price - 1) * 100 = ANSWER

(1014/975 - 1)* 100 = 4%

Lupe's heart beats 288 times in 4 minutes. which equation represents the number of times her heart beats per minutes.
A.) y=1/288x
B.) y=1/72x
C.) y=72x
D.) y=288x

Answers

Answer:C

Step-by-step explanation:

288 divided by 4 equals 72

Option C is correct, y=72x is the equation which represents the number of times her heart beats per minutes.

What is Division?

A division is a process of splitting a specific amount into equal parts.

The equation that represents the relationship between the number of times Lupe's heart beats per minute and the time (in minutes) is:

y = 72x

where y is the number of times Lupe's heart beats per minute, and x is the time in minutes.

We can see this by dividing the total number of heart beats by the time in minutes:

y = (288 beats / 4 minutes) = 72 beats/minute

Hence, y=72x is the equation which represents the number of times her heart beats per minutes.

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Question
To secure a tall flagpole, one end of a guy wire is attached to the top of the flagpole and the other end is attached to a stake that is 28.5 feet from the base of the flagpole. (If you are not sure what this looks like, look up "guy wire" online.) If the guy wire is 39 feet long, how tall is the flagpole? Round your answer to the nearest tenth.
Responses

26.6 feet
26.6 feet

8.2 feet
8.2 feet

48.3 feet
48.3 feet

37.6 feet

Answers

The flagpole is 26.6 feet tall.

What is a Pythagorean theorem?

The Pythagorean theorem is one that can be used to determine an unknown third side of a right angled triangle. It can be expressed as;

/Hyp/^2 = /Adj/^2 + /Opp/^2

In the given question, the length of the guy wire is the hypotenuse of the triangle. Let the height of the flagpole be represented by s, so that;

/Hyp/^2 = /Adj/^2 + /Opp/^2

39^2 = 28.5^2 + s^2

1521 = 812.25 + s^2

s^2 = 708.75

s = (708.75)^1/2

  = 26.62

The height of the flagpole is 26.6 feet.

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Answer the following.(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation.(b) A humpback whale can weigh up to 1.1 * 10^5 pounds. Write this number in standard notation.

Answers

Given:

Two statements (a) and (b) are given.

Find:

we have to write the answers of both statments (a) and (b).

Explanation:

(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter

The scientific notation of 0.00000896 is

\(8.96×10^{-6}\)

......................................................................................................................................

(b) A humpback whale can weigh up to 1.1 * 10^5 pounds

The standard form of the given number is given as below

\(1.1\times10^5=110000\)

Type the correct answer in the box

6 inches across
12 inches up and down

A machine part consists of a half sphere and a cylinder, as shown in the figure. The total volume of the part is ____ pie cubic inches.

Answers

Answer:

126 pie cubic inches.

Step-by-step explanation:

i dont have one^ but i completed the test with a 100%

One number is 9 times another. Their product is 27 times their sum. Find the numbers.

Answers

the answer is 3

.............. .......

The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?

Answers

Answer:

The equation for the cost in dollars of producing computer chips

The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.

Step-by-step explanation:

Subtract (x² + 5x – 6) – (3x^2 – 7x + 1).
What is the difference?

Answers

1. Distribute the Negative Signs
2. Combine like terms
-2x^2 + 12x-7

HELP ASAP. is the relationship shown in the table below proportional? if so, what is the ratio of the hours driven to miles traveled? (k value)

HELP ASAP. is the relationship shown in the table below proportional? if so, what is the ratio of the

Answers

Not proportional because the numbers jump around

If you reflect a point from quadrant IV over the x axis, where will the
new point be located. *

Answers

Answer:

Quadrant I

Step-by-step explanation:

Quadrant IV (bottom right corner) reflects over the x axis into the top right corner or Quadrant I

Find the distance between the point (-1, 1, 1) and 5 = {(x, y, z): 2 = xy} Z

Answers

The distance between the point (-1, 1, 1) and the set 5 = {(x, y, z): 2 = xy} Z is √3. to find the distance, we need to determine the closest point on the set to (-1, 1, 1).

Since the set is defined as 2 = xy, we can substitute x = -1 and y = 1 into the equation to obtain 2 = -1*1, which is not satisfied. Therefore, the point (-1, 1, 1) does not lie on the set. As a result, the distance is the shortest distance between a point and a set, which in this case is √3.

To explain the calculation in more detail, we first need to understand what the set 5 = {(x, y, z): 2 = xy} represents. This set consists of all points (x, y, z) that satisfy the equation 2 = xy.

To find the distance between the point (-1, 1, 1) and this set, we want to determine the closest point on the set to (-1, 1, 1).

Substituting x = -1 and y = 1 into the equation 2 = xy, we get 2 = -1*1, which simplifies to 2 = -1. However, this equation is not satisfied, indicating that the point (-1, 1, 1) does not lie on the set.

When a point does not lie on a set, the distance is calculated as the shortest distance between the point and the set. In this case, the shortest distance is the Euclidean distance between (-1, 1, 1) and any point on the set 5 = {(x, y, z): 2 = xy}.

Using the Euclidean distance formula, the distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) is given by:

\(distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²).\)

In our case, let's choose a point on the set, say (x, y, z) = (0, 2, 1). Plugging in the values, we have:

\(distance = √((0 - (-1))² + (2 - 1)² + (1 - 1)²) = √(1 + 1 + 0) = √2.\)

Therefore, the distance between the point (-1, 1, 1) and the set 5 = {(x, y, z): 2 = xy} is √2.

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A useful computational shortcut for the ANOVA test is expressed asa. dfw = dfb + SST
b. SSB SSW-SST
c. SST = SSB/SSW
d. SSW SST-SSB

Answers

The correct answer is (b). SSB = SST - SSW

The ANOVA (analysis of variance) test is a statistical method used to compare the means of two or more groups. One useful computational shortcut for this test is expressed as SSB = SST - SSW, where SSB is the sum of squares between groups, SST is the total sum of squares, and SSW is the sum of squares within groups.

The useful computational shortcut for the ANOVA test is expressed as:

SSB = SST - SSW

where SSB is the sum of squares between groups, SST is the total sum of squares, and SSW is the sum of squares within groups.

Option (b) is the closest, but it has a typo. It should be:

SSB = SST - SSW

Therefore, the correct answer is (b).

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The useful computational shortcut for the ANOVA test is SSW = SST - SSB

therefore,option d. SSW = SST - SSB is correct.


ANOVA (Analysis of Variance) is a statistical test used to analyze differences between group means.

The test involves partitioning the total variation into two components:

variation between groups (SSB, sum of squares between) and variation within groups (SSW, sum of squares within).

The total sum of squares (SST) represents the overall variability in the dataset.

The computational shortcut for ANOVA states that the sum of squares within groups (SSW) can be calculated by

subtracting the sum of squares between groups (SSB) from the total sum of squares (SST).

So, SSW = SST - SSB.

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The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.

Answers

Answer:

\(17 \le t \le 28\)

Step-by-step explanation:

Given

\(t = 22\frac{1}{2}\) --- average time

\(\triangle t = 5\frac{1}{2}\) --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

\(t \± \triangle t\)

So, the inequality is:

\(22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}\)

Solve:

\(17 \le t \le 28\)

MORE.FREE.POINTSS.

"I'm a cowboyy babyy"
this ones less points, BUT STILL

Answers

Answer:

thx may i have brainliest to plz i so close to next rank

Step-by-step explanation:

Answer:

bbbbbbbbbbbbbbbbbb

Step-by-step explanation:

popppppppppppppppppppppppppppppp

f(x) = 5/2x-1 and f(x) = -2,find x​

Answers

Answer:

x = - \(\frac{2}{5}\)

Step-by-step explanation:

given f(x) = \(\frac{5}{2}\) x - 1 and f(x) = - 2 , then equate right sides

\(\frac{5}{2}\) x - 1 = - 2 ( add 1 to both sides )

\(\frac{5}{2}\) x = - 1 ( multiply both sides by 2 to clear the fraction )

5x = - 2 ( divide both sides by 5 )

x = - \(\frac{2}{5}\)

Suppose the p-value is 0.1038. what is the correct interpretation of this p-value in context?

Answers

The p value 0.1038 represent the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

According to the statement

we have given that the P value and we have to find the correct interpretation of this p-value in context.

So, For this purpose, we know that the

The P - Value is the In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed.

And in the given statement ,

The given p value is 0.1038.

And this p value is a If the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

So, The p value 0.1038 represent the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Suppose the p-value is 0.1038. What is the correct interpretation of this p-value in context?

a.) If the proportion of students who use drugs at this college is greater than 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

b.) There is a 0.1038 probability that the proportion of students who use drugs at this college is greater than 0.157.

c.) If the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

d.) There is a 0.1038 probability that the proportion of students who use drugs at this college is equal to 0.157.

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Find the lowest common denominator (multiple). Type the equivalent fractions. Then, add or subtract. Simplify your answer. 1
2
1
3

Answers

Answer:what

Step-by-step explanation:what does this mean

What is the area of the sector of the circle below, if the radius is 5 m. and the central angle < AOB measures 88 °. (round answer to the nearest tenth)

What is the area of the sector of the circle below, if the radius is 5 m. and the central angle &lt;

Answers

Answer:

b 19.2

Step-by-step explanation:

a = \(\pi\)\(r^{2}\) for a circle.  We do not want to find the area for a whole circle.  We only want to find the area for part of a circle.  a hole circle is 360 degrees.

a = \(\frac{88}{360}\)\(\pi\)\(r^{2}\)

a = \(\frac{88}{360}\)\(\pi\)(\(5^{2}\))

a = 19.2 rounded.

The area of the sector of circle is b. 19.20 square meter.

What is the area of sector of circle?

The space enclosed by the sector of circle is called area of the sector of circle.Mathematically,

Area of the sector of circle, A = θ/360πr²

where θ is the angle of the arc and r is the radius of the circle.

Now it is given that,

radius of the circle, r = 5m

Angle of arc, θ = 88°

Therefore, area ofsector of circle A = θ/360πr²

Put the values,

A = 88/360 π 5²

Solving the equation we get

A = 19.20 square meter.

Hence,the area of the sector of circle is b. 19.20 square meter.

So  the correct answer is b.) 19.20 square meter.

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Which expression is equivalent to (x^2-2x-37)\(x^2-3x-40)

Answers

Therefore , the solution of the given problem of equation comes out to be  \(x^{2}\)-2x-37/(x-8) (x+5).

Describe equation.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,

Given :(\(x^{2}\)-2x-37)/(\(x^{2}\)-3x-40)

\(x^{2}\)-3x-40

Factor\(x^{2}\)-2x-37

\(x^{2}\)-2x-37/(x-8) (x+5)

Thus ,

the factors comes out to be \(x^{2}\)-2x-37/(x-8) (x+5)

Therefore , the solution of the given problem of equation comes out to be  \(x^{2}\)-2x-37/(x-8) (x+5).

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Arik invested $500 in a savings account that earns 6.25% interest compounded monthly. Assuming there are no other deposits or withdrawals, what is the total amount in his account after 4 years?

Answers

The total amount that would be found in the account after 4 years, would be $ 641. 69

How to find the total amount ?

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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12±3 · ( 4±8 ) ± 12346

Answers

Answer:

12394, −12322

Step-by-step explanation:

g (x) = 5x - 5 complete the function table

Answers

Answer:

x=1

Step-by-step explanation:

PLEASE HELP ME ASAP!!! Alex has 64 cubes with dimensions in feet like the one shown. (1/2 ft). He uses all the cubes to fill a box shaped like a larger rectangular prism. What is the volume, in feet, of the larger rectangular prism?

Answers

Answer: MARK AS BRAINLIST PLZ:)

A) First, find the volume of each cube:

V = s³

  = (1/2)³

  = 1/8 ft³

We have a total of 64 cubes, therefore the maximum volume will be:

Vmax = 64 · (1/8) = 8 ft³

B) The volume of a rectangular prism is given by:

V = w × l × h

Therefore any combination of w × l × h = Vmax = 8 will be fine.

Examples:

2 × 2 × 2

4 × 2 × 1

Step-by-step explanation:

HOPE IT HELPS BRAINLIST

About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?

Answers

According to the given information, about 95% of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution.

What is Normal distribution?

Normal distribution, also known as Gaussian distribution or bell curve, is a probability distribution that describes the random variation of a continuous variable in a population.

In a normal distribution, about 68% of the values lie within one standard deviation of the mean, about 95% of the values lie within two standard deviations of the mean, and about 99.7% of the values lie within three standard deviations of the mean.

Therefore, about 95% of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution.

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Question:

About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?(Enter an exact number as an integer, fraction, or decimal.)

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