Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?

Great Grizzly Park Sells Adult Tickets At Price X And Tickets For Children 12 And Under At Price Y. The

Answers

Answer 1

Answer:

answer is J because if we lay out the information we will understand it

Answer 2

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)

Thus, we got a system of equations in x and y as:

[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)

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Related Questions

hellllllp !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

N is the midpoint.

Step-by-step explanation:

Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?

Answers

Answer:

1 Tyler=12in³

3 Tyler =12×3=36in³

There are 10 keys and only one of them can open a lock. We do not know which key can open the lock, but we will try them one by one until we find the right key. Let X denote the number of times tried to find the right key what is the pmf of X

Answers

Answer:

thhhhhhheeeeeeeee p.m.f of x

A police officer claims that the proportion of drivers wearing a seat belt in a certain area is less than 40%. To test this claim, the officer collects a random sample of 80 drivers and monitors if the driver was wearing a seat belt. From this sample of 80 drivers, the police offers observes that 34 were wearing seat belts. Assume the conditions needed to conduct a one sample proportion test are satisfied. The setup for the null and alternative hypothesis is as follows: H0:p=0.40; Ha:p<0.40, which is a left-tailed test. The test statistic and p-value for this Hypothesis test are given as follows: z=0.456, p-value=0.676. Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.

Answers

Answer:

Fail to reject the null because the p-value is greater than significance level (0.05). Therefore we have convincing evidence that the proportion of drivers wearing a seat belt is equal to 40%.

Step-by-step explanation:

I am assuming that the significance level is 0.05, so we would fail to reject the null, because the p-value is 0.676 which is greater than the significance level. Whenever the p-value is greater than the signifigance level we fail to reject the null.

The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?

Answers

Answer:

You will pay 70% of the original price. You will pay $17.50

Step-by-step explanation:

100% is full price because 100%=1 (one whole).

100% - 30% = 70%

70% = 0.7

0.7 multiplied by $25 is $17.50

Melinda said that the fort would melt in the fourth month of the year. What month will the fort melt?

Answers: February, March, and April

Answers

Answer:

april

Step-by-step explanation:

Answer:

April is the fourth month of the year! Hope this helps.

Step-by-step explanation:

Find the domain of the function in interval notation: f(x) =1/ x + 22​

Answers

That's the answer

x = - 1/22

Find the average of the function over the given interval. f(x) = x3 over [−1, 1]

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.

The average value is 0.

Each small square in the figure below measures 1 foot on each side what is the area of the triangle

Answers

Answer:

It should be 0.5 if I’m wrong let me know

Step-by-step explanation:

A=HbB/ 2 = 1x1/2=0.5

Find the area of this parallelogram, top= 14 left= 11 right = 10

Answers

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = [tex]140 cm^{2}[/tex]

OMG HELP PLSSS!!/ Each cube in the figures below is one cubic unit. Which figure does not have a volume of 48 cubic units? Select all that apply. A. Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet. B. Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet. C. Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet. D. Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.

Answers

Answer:

C & D

Step-by-step explanation:

A. = 48 cubic units

B. = 48 cubic units

C. = 64 cubic units

D. = 44 cubic units

The only rectangular prism that does not have a volume of 48 cubic units is C and D, which has a volume of 64 and 44 cubic feet respectively.

What is prism?

A prism is a three-dimensional solid object with two identical ends. It is made up of flat faces, identical bases, and equal cross-sections. The prism's faces are parallelograms or rectangles without bases.

To find the volume of each rectangular prism, you can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet.

V = (8)(2)(3) = 48 cubic feet

Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet.

V = (6)(2)(4) = 48 cubic feet

Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet.

V = (4)(4)(4) = 64 cubic feet

Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.

V = (11)(2)(2) = 44 cubic feet

Thus, the only rectangular prism that does not have a volume of 48 cubic units is C and D.

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what is the value of 5 in (and the three on the top​

Answers

Answer:

5^3 = 125

Step-by-step explanation:

5^3

5 x 5 x 5

=125

Answer:

[tex]5^{3} = 125[/tex]

Step-by-step explanation:

Mark me brainllest

In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)

Answers

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

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 - 0.95}{2} = 0.025[/tex]

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

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

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.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?

It will take blank hours for the three boys to chop up one cord of firewood.

The solution is

Answers

Answer: It will take the 4 hours

A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 219 members were looked at and their mean number of visits per week was 2.4 and the standard deviation was 2.9. Round answers to 3 decimal places where possible.
A. The sampling distribution follows a _______ distribution.
B. With 90% confidence the population mean number of visits per week is between _____ and ______ visits.
C. If many groups of 220 randomly selected members are studied, then a different confidence interval would be produced from each group. About ________ percent of these confidence intervals will contain the true population mean number of visits per week and about__________ percent will not contain the true population mean number of visits per week.

Answers

Answer:

A. Normal

B. Between 2.078 and 2.722 visits.

C. About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, normal.

Question B:

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].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

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.

[tex]M = 1.645\frac{2.9}{\sqrt{219}} = 0.322[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.4 - 0.322 = 2.078 visits

The upper end of the interval is the sample mean added to M. So it is 2.4 + 0.322 = 2.722 visits.

Between 2.078 and 2.722 visits.

Question c:

90% confidence level, so 90% will contain the true population mean, 100 - 90 = 10% wont.

About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

⸸ ⸸ ⸸ you're valued ⸸ ⸸ ⸸​

Answers

I'd like to look at this as both a math joke and a warm message.

Thank you, love.

Thank you for this muwah


How many times greater is the value of the 9 digit in 90,523 than the 9 digit in 59,112?

Answers

Answer:

I'm pretty sure it's 10,000

What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x + 4y = 5

Answers

Answer:

See below

Step-by-step explanation:

Given system:

8x - 4y = -4 -3x + 4y = 5

Subtracting the second equation from the first:

8x - 4y - (-3x + 4y) = -4 - 58x + 3x - 4y - 4y = -911x - 8y = -9

It ends here

============================

Would be better to add the equations to eliminate y and solve the system:

8x - 4y + (-3x + 4y) = -4 + 55x = 1x = 0.2

Find y:

8*0.2 - 4y = -44y = 1.6 + 44y = 5.6y = 1.4

Solution (0.2, 1.4)

solve 6×1/5 solve the equation


Answers

Step-by-step explanation:

6/5is the answer................

Answer:

1 and 1/5

Step-by-step explanation:

6 times 1/5 is 1/5+1/5+1/5+1/5+1/5+1/5 which equals to 6/5 which also equals to 1 and 1/5

10. Which of these is NOT a perfect square?
a. 81
b. 100
C. X2
d. 42

Answers

Answer: 42 is not a square of a whole number

Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis

Answers

Answer:

Alternative Hypothesis:H₁: μ ≠ 0.41

Step-by-step explanation:

Step(i):-

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

Step(ii):-

Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.

Given data

Null hypothesis: H₀ : μ = 0.41

Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis

Alternative Hypothesis:H₁: μ ≠ 0.41

Please help me! This is due tomorrow and I really need some help! Thank you.

Answers

Answer:

over 1/2 own a dog

Step-by-step explanation:

Answer:

Over 1/2 of students own a dog.

Step-by-step explanation:

Total number of students: 25 Add the students owning different types of pets

13/25 Number of students owning dogs divided by total number of students

13/26 = 1/2; therefore 13/25 > 1/2

PLEASE LOOK AT THE IMAGE BELOW (I MARK BRAINLIEST!)

Answers

Answer:

1.True

2.False

3.False

Step-by-step explanation:

1. b is less down the number line than a

2. a is more down the number line and the positive version is higher

3. positive is bigger than negative

If Jordan rode his bike for five days how much hours dose he ride it for? PLEASE COMMENT YOUR ANSWER asp

Answers

Answer: 2880 hours

Explanation: 120 days times 24 hours

40 pts please help!
Which of the following is a tangent line to circle O?
a. line EF
b. segment OD
c. segment BC
d. line AG

Answers

Answer:

d.

Step-by-step explanation:

line AG is the answer because a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.

Answer:

d. line AG

Step-by-step explanation:

A tangent is a line that just 'touches' the curve of a circle, and doesn't intersect it.

We can see that since AG touches the circle, and since the other lines all intersect the circle, the tangent here is AG

how should you write the proportion 9:36=10:40 using words​

Answers

Answer:

Nine to thirty-six equals ten to forty.

Step-by-step explanation:

The word ‘to’ can be substituted in for the colon (:). This is to denote the mathematical concept of ratios.

The word ‘equals’ can be used in place of the equal sign (=).

An example of an ordered pair is (1, 5). True or False

Answers

Answer:

yes

Step-by-step explanation:

Answer: true

Explanation: true

Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.

Answers

Answer:

3/7

Step-by-step explanation:

Help please.......I’ll give u brain liest

Answers

Answer:

Step-by-step explanation:

Hope this helps

Write the explicit rule
a1=5 d=4

Answers

Let a_1 = 5

Let d = 5 = common difference

S_n = a_1 + (n - 1)d

S_n = 5 + (n - 1)4

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