A movie theater sold tickets to dramas and
comedies in the ratio of 5:7. If the theater sold a
total of 288 drama and comedy tickets, how
many more comedy tickets did it sell than drama
tickets?

Answer:

A. 2.5 pounds

B. 12.5 pounds

Step-by-step explanation:

Answer:

a 2.5 b 12.5

Step-by-step explanation:

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

I HOPE IT WILL HELP YOU A LOT.

Answer:

670 Cans of fruit will be left

Step-by-step explanation:

First you multiply 155 by the 6 weeks.

That equals 930 and then you subtract 930 from 1,600 and that gives you 670.

There are 670 cans of fruit that will remain after 6 weeks the answer is 670 cans.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week.

First term a = 1600

Common difference d = -155

After 6 weeks means on week 7.

n = 7

a(7) = 1600 + (7-1)(-155)

a(7) = 1600 - 930

a(7) = 670

Thus, there are 670 cans of fruit that will remain after 6 weeks the answer is 670 cans.

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The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

Answer:

y ≥ 135 or

y is at least 135

Step-by-step explanation:

Fifteen greater than y is at least 150

Which means: y is at least 135

Answer:

The probability of a student receiving a C in the course is p=0.3.

Step-by-step explanation:

We have a absolute frequency for each of the grades (A to F), of a total of 300 course tests.

It is assumed that this sample gives a dood estimation of the distribution of the grades. Then, we can estimate the probability of obtaining a C in the course usign the relative frequency for C.

The relative frequency is calculated as the division between the absolute frequency (in this case, 90 for a C grade) and the size of the sample (in this example, 300).

\(p_C=\dfrac{X_C}{N}=\dfrac{90}{300}=0.3\)

Answer:

$8200

Step-by-step explanation:

rounded to the nearest dollar

The required interest earned is $8200.

Given that,
Suppose Shelly invests $2650 semiannually into an annuity for six years. At the end of this time, she has $40,000.
To determine how much of this balance is from interest.

Simple interest is defined as the percentage of earnings on the lending for a period of time.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total balance earned = $40,000
Total investment in 6 year = 6*2*2650
                                            = 31,800
Interest earned = 40,000 - 31800
                          = $8200

Thus, the required interest earned is $8200.

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

\(A. \ 3 \times 10^6\)

Step-by-step explanation:

The question is not well structured. Here the correct expression.

What is the value of the expression \(\dfrac{4.8\times 10^9}{1.6 \times 10^3}\). According to indices;

\(\frac{a^m}{a^n} = a^{m-n}\)

\(= \dfrac{4.8\times 10^9}{1.6 \times 10^3}\\\\= \dfrac{4.8}{1.6 } \times \dfrac{10^9}{10^3} \\\\= \dfrac{48}{16} \times 10^{9-3}\\\\= 3 \times 10^6\\\\\)

Hence the value of the expression is \(3 \times 10^6\)

Answer:

3.0 x 106

Step-by-step explanation:

By using the given diagram, we can see that the ordered pair that represents point B is (-4, 0)

Any point on a coordinate plane has a ordered pair associated to it, that tells us the location of the point (x, y).

For example, the intersection between the two axes is the point (0, 0).

The first value, x, represents the horizontal displacement, the second variable, y, represents the vertical displacement.

Here we can see that B is 4 units to the left of the center, then the ordered pair that represents point B is (-4, 0)

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Answer:

Mr. White can walk 4 miles in 1 hour.

Step-by-step explanation:

45min/3miles

60min/?miles

1 mile in 15 minutes

A polynomial multiple by a polynomial is always a polynomial. The given statement is true.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

When two polynomials are multiplied by each other, then each term of the first polynomial is multiplied by each term of the second polynomial.

The result is always a polynomial, regardless of what the coefficients might be of any of the terms, including the leading coefficients.

Thus, A polynomial multiples by a polynomial is always a polynomial.

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Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer: what do you have problem with.

Step-by-step explanation:

Answer:

A translation, yes.....ok! the answer is below! ;)

In my explanation:

A translation is a type of transformation, it is when there is a plane and an object slides from one place to another without changing it's size, shape, or rotation.

Web explanation:

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

Look at the image below, there is a figure, called the pre-image, and then when it slides the new image is called the image.

Hope this helps!

Have a nice day!

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We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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Answer:

C.6x³-33x² + 45x-6

Step-by-step explanation:

(3x-6)(2x^2-7x+1)

= 3x(2x² - 21x +1) -6(2x² - 7x+1)

= (6x³ - 21x² + 3x) - (12x² - 42x+6)

= 6x³ - 21x² + 3x -12x² + 42x -6

= 6x³-33x² + 45x-6

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

Answer:

\(\dashrightarrow \: { \tt{4 \frac{1}{3} - 8 }}\)

• first express the mixed fraction into an improper fraction:

\(\dashrightarrow \: { \tt{ \frac{(3 \times 4) + 1}{3} - 8}} \\ \\ \dashrightarrow \: { \tt{ \frac{13}{3} - \frac{8}{1} }}\)

• Find the L.C.M of 3 and 1, L.C.M is 3:

\(\dashrightarrow \: { \tt{ \frac{13 - (3 \times 8)}{3} }} \\ \\ \dashrightarrow \: { \tt{ \frac{13 - 24}{3} }} \\ \\ \dashrightarrow \: { \tt{ - \frac{11}{3} }} \\ \\ \dashrightarrow \: { \boxed{ \boxed{ \tt{ \: \: - 3 \frac{2}{3} }}}}\)

\(\\ \sf\longmapsto 4\dfrac{1}{3}-8\)

\(\\ \sf\longmapsto \dfrac{3(4)+1}{3}-8\)

\(\\ \sf\longmapsto \dfrac{12+1}{3}-8\)

\(\\ \sf\longmapsto \dfrac{13}{3}-8\)

\(\\ \sf\longmapsto \dfrac{13-24}{3}\)

\(\\ \sf\longmapsto \dfrac{-11}{3}\)

\(\\ \sf\longmapsto -3\dfrac{2}{3}\)

When we evaluate 110% of 636,110,636, the result will be 699,721,699.6.

To evaluate percentages, we can start by dividing the number with the percentage by 100. This leaves us with its decimal form. in this case, we will have 110 divided by 100 and the result is 1.1.

Next, we multiply this result by the number we are to find the percentage of. We can express the multiplication as follows:

1.1 * 636,110,636

The result of the multiplication is 699,721,699.6.

So, 110% of 636,110,636 is 699,721,699.6.

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a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

II and III

Step-by-step explanation:

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

The number of ways to choose the 5 colors from a set of 17 is given as follows:

a) Order matters: 742,560.

b) Order does not matter: 6,188.

When the order matters, the permutation formula is used, given as follows:

\(P_{n,x} = \frac{n!}{(n - x)!}\)

Giving the number of permutations of x elements from a set of n elements.

5 elements are chosen from a set of 17 elements, hence the number of permutations is given as follows:

P = 17!/12! = 742,560.

When the order does not matter, the combination formula is used, given as follows:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

With the same parameters, the number of ways is given as follows:

C = 17!/(12! x 5!) = 6,188.

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Answer:

Step-by-step explanation:

If divided: 0.38461538461

If percent: 38.4615%.

Brainliest rn:D

The odds of winning the game is \(\frac{8}{13}\).

Probability is the measure of happening and non-happening of the outcomes of a random experiment.

The sum of all the probabilities of all the elementary events of an experiment is always 1.

According to the given question.

We have

The probability of losing the game is \(\frac{5}{13}\)

Since, we know that the sum of all the probabilities of all elementary events of an experiment is always 1.

Therefore,

Probability of winning the game + Probability of losing the game = 1

⇒ Probability of winning the game + \(\frac{5}{13} =1\)

⇒ Probability of winning the game = \(1 - \frac{5}{13}\)

⇒ Probability of winning the game = \(\frac{13-5}{13}\)

⇒ Probability of winning the game = \(\frac{8}{13}\)

Hence, the odds of winning the game is \(\frac{8}{13}\).

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The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

The answer is "(0.782, 0.818)".

Step-by-step explanation:

computing the sample proportion:

\(p=\frac{x}{n}= \frac{1,600}{2000}=0.80 \\\\\)

\(\text{Computing the} \ 95\% \ \ C.I \\\\\)

\(C.I= p \pm Z_{\frac{\alpha}{2}}\sqrt{\frac{P(1-p)}{n}}\)

     \(= 0.80 \pm 1.96 \sqrt{\frac{0.80(1-0.80)}{2000}} \\\\= 0.80 \pm 1.96 \sqrt{\frac{0.80(0.20)}{2000}} \\\\= 0.80 \pm 1.96 \sqrt{\frac{0.16}{2000}} \\\\ = 0.80 \pm 1.96 \sqrt{0.00008} \\\\=0.80 \pm 0.18 \\\\= (0.782, 0.818)\)

conclusion:

Since the interval calculation contains higher values than 75 percent of its union membership, the merger proposal is likely to pass.