The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x Based on this information, which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Answers

Answer 1

Answer:

40+5x=y

60+3x=y

Step-by-step explanation:

The first park is 40+5x

The second park is 60+3x

Now set them both equal to y


Related Questions

Which phrase best describe the translation from the graphy y=(x+2)² to the graph of y=x²+3

Answers

The graph of the parabola is now vertically translating by 3 units up

Answer:

2 units right

3 units up

Step-by-step explanation:

the graph y=(x+2)² is the parent function y=x^2 translated 2 units left

the graph y=x²+3 is the parent function y=x^2 translated 3 units up

so, the translation from y=(x+2)² to y=x²+3 is:

2 units right (to get to zero)

3 units up

(you can change the order if you want, it doesn't really matter here)

Bruce, a store owner, would like to determine if a new advertising initiative has increased his sales per day compared to last year. He gathers information on 14 random sales days and conducts a hypothesis test about the sales revenue during a day using a significance level of 0.5 %. The mean revenue per day prior to the initiative was 650 dollars. df t0.10 t0.05 t0.025 t0.01 t0.005 ... ... ... ... ... ...13 1.350 1.771 2.160 2.650 3.01214 1.345 1.761 2.145 2.624 2.99715 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 Determine the critical value(s) using the partial t-table above. If entering two critical values, use +-.

Answers

Answer:

The critical value of t =3.012

Step-by-step explanation:

Solution

Recall that:

Bruce a store owner put together information on random sales of = 14 days

A significant level of =0.5%

The mean revenue per day = 65 dollars

Now,

We find he critical values using the partial t-table stated above

Thus,

The degree of freedom is given below:

n -1 = 14

14-1 =13

For a 0.005 level and right tailed test and with a 13 degree of freedom, the critical value of t =3.012.

Please help !!! Ill give you brainliest!!!

Answers

Answer:

72

Step-by-step explanation:

s=9

t=8

therefore , st

9×8

= 72

Answer:

st

Putting the value of s and t in above equation

=> 9 × 8

=> 72

Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable.

Answers

Answer:

[tex][0,Z_n][/tex]

Step-by-step explanation:

Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases

Since Amazon is an online purchase, The set of possible values for the variable is a positive real number. It is a positive real number that must be within [tex]Z_n[/tex]. It cannot exceed the tax percentage for online purchases that can be found in Amazon. [tex]Z_n[/tex] is a set of online purchases that can be found on Amazon, therefore the set of possible values for the variable is [tex][0,Z_n][/tex]

The product of a number and 18 is -378. what does that mean or what's the equation

Answers

Answer:

Hope this helps you to solve it

Nathan spins 2 different spinners at the same time. There are a total of 10 possible
outcomes. Which pair of spinners did Nathan spin?
A
B
A
B
1
2
E
2
E
5
3
D
4
A
B
2
A
B
E
c
COM
3
D
с​

Answers

Answer:

Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.

Hope that answers the question, have a great day!

Answer:

The spinners he spins are the ones that together add up to ten numbers.

Step-by-step explanation:

Suppose that you record the daily high temperature and the daily amount of ice cream sold by an ice cream vendor at your favorite beach this summer, starting on Memorial Day weekend and ending on Labor Day weekend. Would you expect to find a positive or negative association between these variables? Explain briefly.

Answers

Answer:

positive

Step-by-step explanation:

the higher the temp the higher the number of ice creams sold

The association would be positive between the variables.

Given that,
Recorded the daily high temperature and the daily amount of ice cream sold by an ice cream vendor at your favorite beach this summer, starting on Memorial Day weekend and ending on Labor Day weekend.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
As the temperature increases, people will love to eat the ice cream more, which increase the sales of the ice cream which implies that the association would be positive between the variable.

Thus, the association would be positive between the variables.

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A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies? ASAP

Answers

Answer:

2.5

Step-by-step explanation:

it takes 1 cup to make 18 cookies so you divide 45 by 18 to get your answer

Verify that (AUB)’=A’n B’

Answers

Assuming [tex]A'[/tex] denotes the complement of the set [tex]A[/tex], i.e. all elements in the universal set that do not belong to [tex]A[/tex], then we can prove this in general.

To establish equality between two sets, you need to show that they are both subsets of one another.

Prove [tex](A\cup B)'\subseteq A'\cap B'[/tex]:

Let [tex]x\in(A\cup B)'[/tex].

By definition of set complement, this means [tex]x\not\in A\cup B[/tex].

By definition of set union, [tex]x\not\in A[/tex] and [tex]x\not\in B[/tex].

By definition of complement, [tex]x\in A'[/tex] and [tex]x\in B'[/tex].

By definition of set intersection, [tex]x\in A'\cap B'[/tex].

Therefore [tex](A\cup B)'[/tex] is a subset of [tex]A'\cap B'[/tex], because membership of some arbitrary element in the first set directly implies membership in the second set.

Prove [tex]A'\cap B'\subseteq(A\cup B)'[/tex]:

Let [tex]x\in A'\cap B'[/tex]. The proof follows similarly as above.

By definition of intersection, [tex]x\in A'[/tex] and [tex]x\in B'[/tex].

By definition of complement, [tex]x\not\in A[/tex] and [tex]x\not\in B[/tex].

By definition of union, [tex]x\not\in(A\cup B)[/tex].

By definition of complement, [tex]x\in(A\cup B)'[/tex].

Therefore [tex]A'\cap B'[/tex] is a subset of [tex](A\cup B)'[/tex].

And hence both sets are equal, regardless of what the sets may be.

what divided by 2 equals 6.5

Answers

Answer:

hope this helps, take care and stay safe

Step-by-step explanation:

you can do this by timing 6.5 by 2 which = 13. if you get stuck on questions like this, do the rewind effect, that is when you do the opposite of the question, which is what i did above, you can check this in 2 ways, on a calculator (if of course you are allow) or do the question again by using what you have work out, so 13 divide by 2 = 6.5.

The number 13 is divided by 2 to give the number 6.5.

Used the concept of divide which states that,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

To find the number that is divided by 2 to give the number 6.5

Let us assume that the number = x

Hence, it can be written as,

x ÷ 2 = 6.5

x/2 = 6.5

Multiply both sides 2;

x = 2 × 6.5

x = 13

Therefore, the number of the given condition is 13.

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Find the slope of a line perpendicular to the line whose equation is 2y − 6x = 4.

Answers

Answer:

- 1/3

Step-by-step explanation:

2y - 6x = 4

y - 3x = 2

y = 3x + 2

Slope of the given line = 3.

Slope of the perpendicular line is negative reciprocal = - 1/3.

The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real numbers} {y | y ≤ 0} {y | y ≥ 0}

Answers

Answer:

  {y | y ≤ 0}

Step-by-step explanation:

The vertical extent of the graph is all values of y less than or equal to zero:

  {y | y ≤ 0}

Answer: {y | y ≤ 0}

Step-by-step explanation: It is the correct answer <3 have an amazing day.

5-3+78 divided by 3=

Answers

Answer:

26 remainder 2

Step-by-step explanation:

5 - 3 =2

2 + 78 = 80

80 ÷ 3

3 can go into 8 twice remaining with 2

2 goes across to 0

3 can go into 20 6 times because 3×6= 18

so 3 into 20 is 6 remainder of 2

answer= 26 remainder of 2

Answer:

[tex]= 26 \frac{3}{2} \\ [/tex]

Step-by-step explanation:

[tex]5 - 3 + 78 \div 3 \\ 2 + 78 \div 3 \\ 80 \div 3 \\ = 26 \frac{3}{2} [/tex]

hope this helps you

2. The average score Josie had in 6 subjects is 72 and her average score after 2 additional
subjects were added is 74.25. If she scored 80 in the 7th subject, what was her score in the
8
th subject correct to the nearest whole number?

Answers

Answer:

6(72)= 432 & 8(74.25)=594

594-432=162==> 162-80=82

Eric’s average income for the first 4 months of the year is $1,450.25, what must be his
average income for the remaining 8 months so that his average income for the year is
$1,780.75?

Answers

Answer:

Average income of Eric for the remaining 8 months = [tex]\$1946[/tex]

Step-by-step explanation:

Given: Average income of Eric for the first 4 months of the year is equal to  $1,450.25

To find: average income for the remaining 8 months so that his average income for the year is  $1,780.75

Solution:

Average income = Total income for the year/Total number of months

Average income of Eric for the first 4 months = $1,450.25

So,

Total income of Eric for the first 4 months = 1,450.25 × 4 = 5801

Let x denotes total income of Eric for the remaining 8 months

Total income for the year = 5801 + x

Therefore,

Average income for the year = [tex]\frac{5801+x}{12}[/tex]

Also, average income for the year is  $1,780.75

[tex]1780.75=\frac{5801+x}{12}\\1780.75\times 12=5801+x\\21369=5801+x\\21369-5801=x\\15568=x[/tex]

Total income of Eric for the remaining 8 months = $15568

Average income of Eric for the remaining 8 months = [tex]\frac{15568}{8}=\$1946[/tex]

What are the values of a and b? Select one: a. a equals 18 comma space b equals 4 square root of 5 b. a equals 64 comma space b equals 80 c. a equals 8 comma space b equals 4 square root of 5 d. a equals 8 comma space b equals 8 square root of 5

Answers

Answer:

a is a value of 5 and b is is equal to 9

Step-by-step explanation:

all you have to do is get 16 and 4 by them self and take them out, and find the remaining numbers

Answer: a = 8, b = [tex]4\sqrt{5}[/tex]

Some contact lens wearers report problems with dryness in their eyes. A study was conducted to evaluate the effectiveness of a new eye-drop solution to relieve dryness for contact lens wearers. Twenty-five volunteers who wore contact lenses agreed to use the new solution for one month. At the end of the month, 36 percent of the volunteers reported that the new solution was effective in relieving dryness. The company that produced the new eye-drop solution concluded that using the new solution is more effective in relieving dryness than using no solution. Which of the following best explains why the study does not support such a conclusion.

(A) The sample size was too small.
(B) The study had no control group.
(C) The participants were volunteers.
(D) The participants self-reported the frequency with which they used the new solution.
(E) The participants self-reported the effectiveness of the new solution.

Answers

B is the correct answer

The preceding help understand why the study doesn't really support such a conclusion: the sample size was too small.

The assumption is approximate [tex]\hat{P}[/tex] by a normal distribution will be:

[tex]np \geq 10[/tex][tex]n (1-p) \geq 10[/tex][tex]n = 25[/tex]

→ [tex]np = 25\times 0.36[/tex]

       [tex]=9[/tex]

→ [tex]n (1-p) = 25\times (1-0.36)[/tex]

                [tex]= 25\times 0.64[/tex]

                [tex]= 16[/tex]

The above assumption is not satisfied. Thus the above answer i.e., "option A" is the appropriate one.

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Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school. What is the mean of the sampling distribution of the proportion of the students who prefer later start times for school

Answers

Answer:

The mean of sampling distribution of the proportion of the students who prefer later start times for school

                        μₓ = p = 0.63

Step-by-step explanation:

Explanation:-

Given sample size 'n' =200

given data Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school

sample proportion

                        [tex]p = \frac{x}{n} = \frac{126}{200} = 0.63[/tex]

The mean of sampling distribution of the proportion of the students who prefer later start times for school

                        μₓ = p = 0.63

Standard deviation of the proportion

                     [tex]S.D = \sqrt{\frac{p(1-p)}{n} } = \sqrt{\frac{0.63(1-0.63)}{200} } = 0.034[/tex]

What is the solution of the equation x2 + 8x = 4?

Answers

Answer:

hope this is correct

once again i need help with my 8th grade hw [tex]-9\leq 7-8x[/tex] ... thnx

Answers

Step-by-step explanation:

-9 ≤ 7 − 8x

8x ≤ 16

x ≤ 2

The number of hours that a nine month old baby sleeps at night are normally distributed with a population standard deviation of 1.5 hours and an unknown population mean. A random sample of 22 nine month old babies is taken and results in a sample mean of 12 hours. Find the margin of error for a confidence interval for the population mean with a 90% confidence level. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answers

Answer:

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this quesstion:

[tex]\sigma = 1.5, n = 22[/tex]

So

[tex]M = 1.645*\frac{1.5}{\sqrt{22}} = 0.53[/tex]

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

The publishers of a business magazine are running sales promotions for the weekly magazine. The number of prospective customers a sales representative sees per day varies 1 to 40. If the sales representative is able to her 20% of the prospective customers to subscribe, the maximum expected number of subscriptions per week is .if the sales representative earns $3 per subscription in addition to daily wages, the minimum expected value of the extra income per week is .

Answers

Answer:

the maximum expected number of subscriptions per week is

34 subscriptions

the minimum expected value of the extra income per week is

$94.20

Step-by-step explanation:

number of sales visits per day 1 - 40

success rate in closing sales 20%

total visits per week:

week 1 = 20 + 22 + 27 + 17 + 31 + 12 + 39 = 168week 2 = 26 + 13 + 30 + 18 + 24 + 14 + 32 = 157week 3 = 21 + 12 + 22 + 37 + 30 + 23 + 18 = 163week 4 = 15 + 33 + 10 + 28 + 34 + 24 + 22 = 166week 5 = 11 + 33 + 21 + 32 + 26 + 19 + 22 = 164week 6 = 19 + 27 + 20 + 18 + 31 + 14 + 37 = 166week 7 = 29 + 22 + 27 + 30 + 16 + 9 + 36 = 159week 8 = 8 + 28 + 19 + 28 + 25 + 36 + 26 = 170

estimated sales per week:

week 1 = 168 x 20% = 33.6week 2 = 157 x 20% = 31.4week 3 = 163 x 20% = 32.6week 4 = 166 x 20% = 33.2week 5 = 164 x 20% = 32.8week 6 = 166 x 20% = 33..2week 7 = 159 x 20% = 31.8week 8 = 170 x 20% = 34

extra income per week:

week 1 = 33.6 x $3 = $100.80week 2 = 31.4 x $3 = $94.20week 3 = 32.6 x $3 = $97.80week 4 = 33.2 x $3 = $99.60week 5 = 32.8 x $3 = $98.40week 6 = 33.2 x $3 = $99.60week 7 = 31.8 x $3 = $95.40week 8 = 34 x $3 = $102

Answer: subscriptions per week: 34

Extra income per week: $94.20

Step-by-step explanation: I got this right on Edmentum

Square A"B"C"D" is the final image after the rule
was applied to square ABCD.

On a coordinate plane, a square A double-prime B double-prime C double-prime D double-prime has points (negative 5, negative 3), (negative 3, negative 1), (negative 1, negative 3), (negative 3, negative 5).
What are the coordinates of vertex A of square ABCD?

(–1, –6)
(–1, –2)
(–1, 6)
(–2, 1)

Answers

Answer:

The Answer is D on Edge

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with the fencing depends on the width of the rectangle. Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet? ✔ A(w) = -w² + 100w The rancher decides to make the width of the rectangle 40 ft. What is the area of the rectangle? PLEASE HURRY

Answers

Answer:

A(w) = -w^2 + 100w

Step-by-step explanation:

just took the assignment

Finding the numeric value of the function, it is found that the area of the rectangle is of 2400 square feet.

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

The area of a rectangle of width w is given by:

[tex]A(w) = -w^2 + 100w[/tex]

In this question, we have a width of 40 ft, thus [tex]w = 40[/tex], and the area is of:

[tex]A(40) = -40^2 + 100(40) = -1600 + 4000 = 2400[/tex]

The area is of 2400 square feet.

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Twenty percent of what number is equal to five percent of 680

Answers

Answer:

170

Step-by-step explanation:

5/100 ×680

=34

20%=34what about 100%=?

(100×34)÷20

170

Twenty percent of 170 is equal to five percent of 680.

What is percentage?

The term ‘per cent’ means ‘out of a hundred’. In mathematics, percentages are used like fractions and decimals, as ways to describe parts of a whole.  When you are using percentages, the whole is considered to be made up of a hundred equal parts. The symbol % is used to show that a number is a percentage.

Let the number be x

According to question:

20% of x = 5%  of 680

[tex]\frac{20}{100}[/tex] x = [tex]\frac{5}{100}[/tex] × 680

20 x = 5 × 680

x = 170

Hence, Twenty percent of 170 is equal to five percent of 680.

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a bucket that holds 5 1/4 gallons of water is being used to fill a tub that can hold 34 1/8 gallons. How many buckets will be needed to fill the tub?

Answers

The answer is 6 1/2 buckets.

What is did was turn the fractions into decimals to make it easier.  

So the ratio is 5.25 gallons per bucket. I divided 34 1/8 by 5 1/4 in decimal form (34.125/5.25) and got 6.5

So therefore, the answer is 6 1/2 buckets of water is needed ti fill up the tub.

Find the mode of the following data set.
Stem Leaves
4
8
5 0,1,6
6
2,2,4
7 3,5

Answers

Answer:

2 or 6

Step-by-step explanation:

The mode is always the number that repeats or is shown more than once. But there is no number that repeats. So your answer is No mode.

A ball is thrown straight up from a cliff. The function f(x) = –4.9t2 + 17t + 19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is that height reached? Round your answers to 1 decimal place.


Maximum height:

__ meters


Time:

__ seconds

Answers

Answer:

Maximum height: 33.7 meters

Time: 1.7 seconds

Step-by-step explanation:

Suppose we have a quadratic equation in the following format:

[tex]f(t) = at^{2} + bt + c[/tex]

In a is negative, the maximum point of the function happens at the time of

[tex]t_{v} = -\frac{b}{2a}[/tex]

And it's value is: [tex]f(t_{v})[/tex]

In this question:

[tex]f(t) = -4.9t^{2} + 17t + 19[/tex]

So [tex]a = -4.9, b = 17, c = 19[/tex]

The time of the maximum height is:

[tex]t_{v} = -\frac{b}{2a} = -\frac{17}{2*(-4.9)} = 1.7[/tex]

The maximum height is:

[tex]f(1.7) = -4.9*(1.7)^{2} + 17*1.7 + 19 = 33.7[/tex]

A construction company finally completed a major project that paid $1,786,000. This company uses contract workers instead of employees. The money is to be divided in the ratio 4:2:3:3 among the company, The plumber, the electrician and the auxiliary workers. Calculate how much each of them receives.

Answers

Answer:

The company receives $595,333.333.

The plumber receives $297,666.667.

Each the electrician and the auxiliary workers receive $446,500.

Step-by-step explanation:

The total amount is $1,786,000.

Company:

The company receives [tex]\frac{4}{4 + 2 + 3 + 3} = \frac{4}{12} = \frac{1}{3}[/tex] of the total amount. So

[tex]\frac{1*1786000}{3} = 595333.333[/tex]

The company receives $595,333.333.

Plumber:

[tex]\frac{2}{4 + 2 + 3 + 3} = \frac{2}{12} = \frac{1}{6}[/tex] of the total amount. So

[tex]\frac{1*1786000}{6} = 297666.667[/tex]

The plumber receives $297,666.667.

Electrician and the auxiliary workers:

Each receives [tex]\frac{3}{4 + 2 + 3 + 3} = \frac{3}{12} = \frac{1}{4}[/tex] of the total amount. So

[tex]\frac{1*1786000}{4} = 446500[/tex]

Each the electrician and the auxiliary workers receive $446,500.

The average marks of candidates in an aptituste test
was 128.5with a standard deviation of 8.2
Three scores extracted from the test are
148,102, 152, what is the average of the
extracted scores that are extreme values
fouthers (out the coutlier)

Answers

Answer:

102

Step-by-step explanation:

We must calculate the value of z for each value and then compare each one and thus manage to see what is an outlier, we know that z is equal to:

z = (x - m) / sd

where x is the value to evaluate, m the mean and sd the standard deviation. Now we have to:

For x = 148:

z = (148 - 128.5) /8.2

z = 2.37

For x = 102:

z = (102 - 128.5) /8.2

z = -3.23

For x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is generally between -3.09 and 3.09, so when x is 102, it goes out of range of the value of z, which means that this is the outlier.

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