Bobby bought movie tickets for 6 people
and popcorn for $19. If he spent a total of
$71.50, how much was each movie
ticket?

Help please

Answer:

$1.030 ($1.03 rounded.)

Step-by-step explanation:

First, we need to start of making an equation.

$2.36 + x = 6.48.

We will use x as the variable for the amount of each bottle of juice, because it is unknown.

Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.

We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.

If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.

Let's denote the cost of each juice bottle as "x".

Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.

Given that the total cost before tax was $6.48, we can set up an equation:

Cost of apples + Cost of juice = Total cost

$2.36 + 4x = $6.48

Now, solve for "x":

4x = $6.48 - $2.36

4x = $4.12

x = $4.12 / 4

x = $1.03

Hence, Each bottle of juice costs $1.03.

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Use the distance formula to solve for the direct distance from (4,-4) up to (-14,8)

Since 1 grid is equal to 0.125 miles. Multiply the distance in units and we get

Rounding to 2 decimal places, the direct distance is 2.70 miles.

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer: I think it's 30 degrees. Sorry if I'm wrong.

Step-by-step explanation:

Answer:

$0.64

Step-by-step explanation:

Cost for 8 gallons of gas

Credit Card at $3.77/gal

Cash at $(3.77 - 0.08)/gal:  $3.69/gal

(8 gal)*($3.77/gal) =  $30.16

(8 gal)*($3.69/gal) =  $29.52

Savings is $0.64

After log2n rounds, you may expect one coin to remain

There are n coins, then. According to probability, half of them will display tails, and the other half heads when you flip all of them. We now have n/2 coins after setting aside n/2 coins. We set the n/2/2 coins aside since this time they will all show tails, and the trend continues.

There is only one coin remaining, hence the sum of this GP must equal n-1.

After the first round, n/2 coins are anticipated to be withdrawn.

After the second round, n/4 coins are anticipated to be withdrawn.

Therefore, one coin should be left after log2n rounds.

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The process of finding the p-value in a hypothesis test for the difference between two population means can be explained, given that the populations are normally distributed with unknown but equal variances.

1. Conduct the hypothesis test using either the t-test or z-test depending on the sample size and available information.
2. Calculate the test statistic (either t or z) using the sample means, sample sizes, and pooled variance.
3. Determine the degrees of freedom (df) for a t-test, which is calculated as (n1 - 1) + (n2 - 1), where n1 and n2 are the sample sizes.
4. Decide whether the test is one-tailed or two-tailed, based on the alternative hypothesis.
5. Use the test statistic and degrees of freedom (for t-test) to find the p-value from the appropriate distribution table (t-distribution or standard normal distribution).

Once you have the p-value, you can compare it with your chosen significance level (α) to decide whether to reject or fail to reject the null hypothesis.

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Answer:

-6

Step-by-step explanation:

Step One: The goal is to isolate the x. So first, we would do 4-22, which is -18. The equation is: 3x=-18.

Step Two: Lastly, we need to divide by three to completely isolate the x. This is -6.

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.

The system of equation will be x+y = 7 and 20x+35y = 225.

Let x be the no of small boxes and y be the no. of large boxes.

Given here each small box can hold 20 books and each large box can hold 35 books.

A total of 7 boxes were sent.

So, x+y = 7.......equation 1

Also given that 7 boxes can hold 225 books altogether.

So, 20x+35y = 225.....equation 2

Hence the system of equation will be x+y = 7 and 20x+35y = 225.

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Answer:

Estimate of 15/30

B:1/2

Explanation

If 2 points corresponds to 1/2 cup, 3 points corresponds to_____. We can write the following proportion:

Answer

Her husband eats 3/4 cup of oatmeal that corresponds to 3 points.

(a) The values should be used P = 12,000, r = 0.038, n = 4.

(b) Amber will have $16,246.41 in the account in 8 years.

In this problem, Amber has deposited $12,000 into a savings account with an annual percentage rate of 3.8% that compounds quarterly.

The future account balance can be modeled by the exponential formula S(t) = P(1+r/n)ⁿt, where S is the future value, P is the present value, r is the annual percentage rate written as a decimal, n is the number of times each year that the interest is compounded, and t is the time in years. In this problem, P=12000, r=.038, and n=4.

With these values, Amber will have $14,873.62 in the account in 8 years. By investing $12,000 over 8 years and having it compound quarterly, Amber is able to generate an additional $2,873.62 in earnings as an interest rate, without having to pay anything extra. Compound interest is an incredible tool for allowing money to grow, and it pays significantly better than a regular savings account.

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The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Answer:

B

Step-by-step explanation:

1/4.6+1/2=1/3.6

6/4+1/2=2

8/4=2

So B

The interest calculations yielded  $8160 interest .

Given,

Principal amount =  $408000

Rate of interest = 8%

Time = 90 days

So,

According to the formula of interest ,

Interest = Principal * Rate of interest * time

Interest charged on note = Note amount * interest rate * 90/360

Interest charged on note = 408000*8%*90/360= $8160

Thus total interest earned on a sum of $408000 is $8160 .

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Answer:

Shannon has unlocked 40 levels.

Step-by-step explanation:

14 + 6 = 20

20 * 2 = 40

Step-by-step explanation:

100% = 11.5

20% more means 120%

120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces

Answer:

\( 132 \pi \: cubic\: cm\)

Step-by-step explanation:

\(V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \pi \times {6}^{2} \times 11 \\ \\ = \frac{1}{3} \times \pi \times 36 \times 11 \\ \\ = \pi \times 12 \times 11 \\ \\ = 132\pi \: {cm}^{3} \)

Answer: p < -3/5

Step-by-step explanation:

2p - 4 < -3p - 7

+3p       +3p

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

5p - 4 < -7

     +4   +4

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

5p < -3 (divide by 5)

p < -3/5

The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.

We can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values we have, we get:

d = √((-3 - (-7))^2 + (-1 - (-7))^2)

= √((4)^2 + (6)^2)

= √(16 + 36)

= √(52)

≈ 7.21

Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.

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Answer:

To arrive in Istanbul at around 3 p.m. local time, Salim needs to take the flight that arrives in Istanbul at 3 p.m. local time.

If he takes the flight that leaves Singapore at 06:30, it will take 11 hours and 30 minutes to reach Istanbul. Therefore, the arrival time in Istanbul will be 18:00 (Singapore time) + 11 hours and 30 minutes = 05:30 (Istanbul time). This is earlier than the desired arrival time of 3 p.m. local time in Istanbul.

If he takes the flight that leaves Singapore at 09:00, it will also take 11 hours and 30 minutes to reach Istanbul. Therefore, the arrival time in Istanbul will be 20:30 (Singapore time) + 11 hours and 30 minutes = 08:00 (Istanbul time). This is closer to the desired arrival time of 3 p.m. local time in Istanbul.

Therefore, Salim should take the flight that leaves Singapore at 09:00.

To find the center of enlargement, we need to determine the scale factor of enlargement between the original quadrilateral ABCD and the image quadrilateral A'B'C'D'.

We can do this by finding the ratio of the corresponding side lengths. Let the scale factor be k. Then,

AB' = k * AB

and

AA' = k * AA'

Using the distance formula, we can find the lengths of AB and AA',

AB = sqrt((6-(-1))^2 + (3-3)^2) = sqrt(50)

AA' = sqrt((11-3)^2 + (-5-(-1))^2) = sqrt(80)

Thus, k = AB' / AB = AA' / AA' = sqrt(80 / 50) = sqrt(8 / 5) = 1.7889 (approx)

Next, we can use the formula for the center of enlargement, which states that the center of enlargement is the point of intersection of the corresponding lines joining the original and the image points.

The line joining A(3,-1) and A'(11,-5) has the equation y = -x/2 + 5/2

The line joining B(3,6) and B'(6,8) has the equation y = (2/3)x + 6

\

Solving for the point of intersection, we get:

x/2 + 5/2 = (2/3)x + 6

=> x = 21.6

Substituting x in either of the equations, we get:

y = -x/2 + 5/2

=> y = -21.6/2 + 5/2

=> y = -5.55 (approx)

Therefore, the center of enlargement is approximately (21.6, -5.55).

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To find the center of enlargement, we need to determine the scale factor of enlargement between the original quadrilateral ABCD and the image quadrilateral A'B'C'D'.

We can do this by finding the ratio of the corresponding side lengths. Let the scale factor be k. Then,

AB' = k * AB

and

AA' = k * AA'

Using the distance formula, we can find the lengths of AB and AA',

AB = sqrt((6-(-1))^2 + (3-3)^2) = sqrt(50)

AA' = sqrt((11-3)^2 + (-5-(-1))^2) = sqrt(80)

Thus, k = AB' / AB = AA' / AA' = sqrt(80 / 50) = sqrt(8 / 5) = 1.7889 (approx)

Next, we can use the formula for the center of enlargement, which states that the center of enlargement is the point of intersection of the corresponding lines joining the original and the image points.

The line joining A(3,-1) and A'(11,-5) has the equation y = -x/2 + 5/2

The line joining B(3,6) and B'(6,8) has the equation y = (2/3)x + 6

\

Solving for the point of intersection, we get:

x/2 + 5/2 = (2/3)x + 6

=> x = 21.6

Substituting x in either of the equations, we get:

y = -x/2 + 5/2

=> y = -21.6/2 + 5/2

=> y = -5.55 (approx)

Therefore, the center of enlargement is approximately (21.6, -5.55).

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The hypothesis being tested in this scenario is whether the claim made by the pharmaceutical company regarding the new cough medicine is true or not.

The null hypothesis (H0) is the default position which is assumed to be true unless there is sufficient evidence to reject it. In this case, the null hypothesis is that the average time for symptom relief after taking the new cough medicine is 5 minutes or more.

The alternative hypothesis (Ha) is the opposite of the null hypothesis and is what the researcher is trying to prove. In this case, the alternative hypothesis is that the average time for symptom relief after taking the new cough medicine is less than 5 minutes.

The company's claim is part of the alternative hypothesis, stating that the new cough medicine brings symptom relief in less time than the average relief time of 5 minutes. So, the company's claim supports the alternative hypothesis.

To test the hypothesis, the researcher would collect a sample of data, calculate the sample mean, and compare it to the known population mean of 5 minutes. If the sample mean is significantly different from 5 minutes, then the null hypothesis would be rejected in favor of the alternative hypothesis, and the researcher would conclude that the new cough medicine provides symptom relief in less than 5 minutes on average. If the sample mean is not significantly different from 5 minutes, then the researcher would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the new cough medicine provides symptom relief in less than 5 minutes on average.

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The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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Answer:  Your correct answer will be 42n-24n

Step-by-step explanation:

You do 7 x -4n and the 6 x - 4n. I hope that’s right!

The lines represented by the equations 4y - 8x = -12 and y - 2x = -3 are same line.

We have to given that;

Equation of lines are,

4y - 8x = -12   .. (i)

And, y - 2x = -3  .. (ii)

Now, We get;

4y - 8x = - 12

divide both side by 4;

y - 2x = - 3

Which is same as equation (ii).

Thus, The lines represented by the equations 4y-8x=-12 and y-2x=-3 are same line.

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Answer:

Step-by-step explanation:

It would be either A or C

Most likely A Hope this helps ya <3

The word describing 5 in the given expression is a coefficient.

An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.

Given that an expression 5n, we need determine the word used for number 5,

We know that, the numbers connected to a variable by multiplication is called a coefficient.

Here,

5n = 5 × n,

n = variable, 5 = coefficient.

Hence the word describing 5 in the given expression is a coefficient.

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