At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total

tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How

many total tickets would someone get if they purchased a adult tickets and k kids

tickets?

Total tickets, 2 adult tickets and 16 kids tickets:

Total tickets, a adult tickets and k kids tickets:

Step-by-step explanation:

A=3B

A+B=36

3B+B=36

4B=36

B=36/4

Step-by-step explanation:

let x represent the smaller number

3x is the second number

x+3x=36

4x=36

4x/4=36/4

x=9

the second number is 3(9)

=27

Answer:

The values of \(a\) and \(b\) are \(5\) and \(-\frac{15}{7}\), respectively.

Step-by-step explanation:

There are mistakes in the statement, correct form is presented below:

\(5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}\).

By direct comparison we have the following system of equations:

\(a = 5\) (1)

\(\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}\) (2)

In (2) we solve for \(b\):

\(\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}\)

\(b = -\frac{15}{7}\)

The values of \(a\) and \(b\) are \(5\) and \(-\frac{15}{7}\), respectively.

There is no actual way for us to help you since its a graph

By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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Answer:

B.(4,20)

Step-by-step explanation:

Given: \(x^2 -24x = -80\)

To solve the quadratic equation by completing the square, we follow these steps.

Step 1: Divide the coefficient of x by 2

\(-\dfrac{24}{2}=-12\)

Step 2: Square your result fro Step 1

\((-12)^2\)

Step 3: Add the result form step 2 to both sides of the equation

\(x^2 -24x+(-12)^2 = -80+(-12)^2\)

Step 4: Rewrite the Left hand side in the form \((x+k)^2\)

\((x-12)^2=-80+144\\(x-12)^2=64\)

Step 5: Take square roots of both sides

\(x-12=\pm \sqrt{64}\)

Step 6: Solve for x

\(x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.\)

Therefore, the solution set of the equation is (4,20).

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

The value of the multiplication of the given fractions  \((\frac{1}{2} - \frac{2}{5}) * (- \frac{5}{7} + \frac{1}{14} )\) is -9/ 140.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

A fraction multiplied by another fraction, an integer, or a set of variables is referred to as a fraction. The steps for multiplying fractions are as follows:

Add the numerator to the numerator to multiply. Add the denominator to the denominator and multiply. If necessary, simplify the fractions.

The multiplication of the given numbers is:

\((\frac{1}{2} - \frac{2}{5}) * (- \frac{5}{7} + \frac{1}{14} ) \\\\(\frac{5-4}{10} ) * (\frac{-10 + 1}{14} )\\\\\frac{1}{10} * \frac{- 9}{14} \\\\\frac{-9}{140}\)

Hence, value of the multiplication of the given fractions \((\frac{1}{2} - \frac{2}{5}) * (- \frac{5}{7} + \frac{1}{14} )\) is -9/ 140.

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Answer:

A

Step-by-step explanation:

because if you put in the radius of 3.7 you get 43.01 and if you round that up you get 43 which is A

F. Square root of 39

Step-by-step explanation:

Value of \(\boldsymbol{x}\) is \(\boldsymbol{\sqrt{39}}\) units.

Option F. is correct.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

\(\bigtriangleup ABD \sim \bigtriangleup CAD\)

\(\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }\)

  \(\frac{x}{13}=\frac{3}{x}\)

  \(x^2=39\)

   \(x=\sqrt{39}\) units.

Value of \(\boldsymbol{x}\) is \(\boldsymbol{\sqrt{39}}\) units.

Option F. is correct.

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Answer: 112 ft²

Step-by-step explanation:

The area of a triangle can be found with the equation

\(A=\frac{1}{2} bh\), where b is the base (bottom line of the triangle) and h is the height (the distance of the line from the peak of the triangle that forms a right angle with the base).

In this problem we are given the base and height: the base is 16 feet, and the height is 14 ft.

Therefore, the area is \(\frac{1}{2} *16*14\), which is 112 ft²

The 95% confidence interval to estimate the average weekly donation per member is approximately $47.42 to $53.38.

To calculate the 95% confidence interval for the average weekly donation per member, we can use the following formula:

Confidence interval = Sample mean ± (Critical value) × (Population standard deviation / √(Sample size))

First, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.

Next, we can substitute the given values into the formula:

Sample mean = $50.40

Population standard deviation = $12.30

Sample size = 65

Using these values, we can calculate the confidence interval:

Confidence interval = $50.40 ± (1.96) × ($12.30 / √(65))

Calculating the value inside the parentheses:

($12.30 / √(65)) ≈ $1.52

Substituting this value into the formula:

Confidence interval = $50.40 ± (1.96) × $1.52

Calculating the values outside the parentheses:

$1.96 × $1.52 ≈ $2.98

Substituting this value into the formula:

Confidence interval ≈ $50.40 ± $2.98

Therefore, the 95% confidence interval is $47.42 to $53.38.

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The Quran and Sunnah are two primary sources of Islamic jurisprudence and belief. The Quran is the holy book of Islam, while Sunnah is the teachings of the Prophet Muhammad (peace be upon him).

There are two main differences between the Quran and Sunnah:

1. Content: The Quran contains the divine words of Allah, while the Sunnah is the teachings of the Prophet Muhammad (peace be upon him).

2. Authority: The Quran is the primary source of Islamic law and belief, while Sunnah is the secondary source, which provides clarification and further interpretation of the Quran.

Therefore, the Quran is the final authority on matters of Islamic law and belief, while the Sunnah is the interpretation and application of those laws.

The Qur'an is the holy book of Islam, believed to be the literal word of God as revealed to the Prophet Muhammad through the angel Gabriel. The Sunnah, on the other hand, is a collection of sayings and actions of the Prophet Muhammad, as recorded by his companions.

The Qur'an is considered the primary source of guidance for Muslims, and is seen as infallible and unchangeable. The Sunnah is considered a secondary source of guidance, used to help interpret and apply the teachings of the Qur'an in daily life.

Both the Qur'an and Sunnah are important sources of guidance for Muslims, and are used together to understand and practice the teachings of Islam. While the Qur'an is seen as the primary source of guidance, the Sunnah provides additional context and clarification on how to apply the teachings of the Qur'an in daily life

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The length of the hypotenuse of a right triangle can be expressed in terms of its area, A, and its perimeter, P, as √(P² - 4A).

To find the length of the hypotenuse, you can use the formula √(P² - 4A), where P is the perimeter and A is the area of the triangle.

This formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

In the given ski resort scenario, the skiers travel 2200 m at an inclination of 47° and then 1500 m at an inclination of 52°.

To determine the height of the peak, we can treat the total distance traveled by the skiers as the hypotenuse of a right triangle, and the two inclined distances as the lengths of the other two sides.

By applying trigonometric functions such as sine and cosine, we can calculate the height of the peak.

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The aspect ratio of a Television is the ratio of the width to the height of the television.

The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.

The ratio is represented as:

\(Width : Height = 16 : 9\)

Using Pythagoras theorem, we have:

\((16x)^2 + (9x)^2 = 50^2\)

\(256x^2 + 81x^2 = 2500\)

\(337x^2 = 2500\)

Divide both sides by 337

\(x^2 = 7.42\)

Take square roots of both sides

\(x = \sqrt{7.42\)

\(x = 2.72\)

So, the width of the image is:

\(Width = 16x\)

\(Width = 16 \times 2.72\)

\(Width = 43.52\)

The height of the image is then calculated as:

\(Height = 9x\)

\(Height = 9 \times 2.72\)

\(Height = 24.48\)

The height of the image is 24.48 inches

The height of each black bar is calculated as follows:

\(Width : Height = 1.85 : 1\)

Express as fraction

\(\frac{Height}{Width}= \frac{1}{1.85}\)

Make Height the subject

\(Height = \frac{1}{1.85}\times Width\)

Substitute \(Width = 43.52\)

\(Height = \frac{1}{1.85}\times 43.52\)

\(Height = 23.52\)

The height of each black bar is 23.52 inches

Lastly, the percentage of the screen’s area that is occupied by the image

First, we calculate the area of the bars

\(A_1 = Height \times Width\)

Where:

\(Height = 23.52\) and \(Width = 43.52\)

So:

\(A_1 = 23.52 \times 43.52\)

\(A_1 = 1023.59\)

Next, calculate the area of the 50-inch TV

\(A_2 = Height \times Width\)

Where

\(Width = 43.52\) and \(Height = 24.48\)

So:

\(A_2 = 24.48 \times 43.52\)

\(A_2 = 1065.37\)

So, the percentage occupied on the screen area is:

\(\% Screen = \frac{A_1}{A_2} \times 100\%\)

\(\% Screen = \frac{1023.59}{1065.37} \times 100\%\)

\(\% Screen = \frac{102359}{1065.37} \%\)

\(\% Screen = 96.08 \%\)

Hence, the percentage of the screen area occupied is 96.08%

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The distance between point A and point B is 214.807 km.

To find the distance between point A and point B, we can use the formula: distance = speed * time.Let's call the total distance between point A and point B "d".

For the first part of the journey, when the car was traveling at a constant speed of 78 km/hr, the distance traveled was 63% of the total distance, or 0.63d. The time taken for this part of the journey was 3.3 hours * 63% = 2.099 hours. Therefore, the distance traveled in this part of the journey was 78 km/hr * 2.099 hours = 160.862 km.

For the second part of the journey, when the car was traveling at a constant speed of 45 km/hr, the distance traveled was the remaining 37% of the total distance, or 0.37d. The time taken for this part of the journey was 3.3 hours - 2.099 hours = 1.201 hours. Therefore, the distance traveled in this part of the journey was 45 km/hr * 1.201 hours = 53.945 km.

Adding up the distance traveled in both parts of the journey gives us a total distance of 160.862 km + 53.945 km = 214.807 km.

So, the distance between point A and point B is 214.807 km.

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Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

Answer:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. Since the line given in the question is parallel to y = 1/4x + 7, we know that the line has a slope of m = 1/4.

To find the equation of the line that passes through (4,-1), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

Therefore, the equation of the line passing through (4,-1) and parallel to y = 1/4x + 7 is:

y - (-1) = 1/4(x - 4)

y + 1 = 1/4x + 1

This is the equation of a line passing through (4,-1) and parallel to y = 1/4x + 7.

Answer:

y=mx+b

so, y=1/4x+6

Step-by-step explanation:

plug in, then simplify the slope.

The average time spent at each toll booth to less than 2 minutes.The average number of vehicles that pass through the tunnel each way during peak times is 4796MTA would like to keep the number of vehicles waiting in line (on average) to less than 10.

To determine the number of toll lanes that should be opened, we must first determine how many vehicles can pass through a single toll lane in one hour.To find out how many vehicles pass through a single toll lane in one hour, we can use the formula below:Number of vehicles that can pass through a single toll lane in one hour = (Number of minutes in an hour) / (Average time spent at each toll booth)Let's first convert the number of minutes in an hour so that we can plug it into the formula:60 minutes/hourPlugging in the numbers:Number of vehicles that can pass through a single toll lane in one hour = 60/2= 30We can see that one toll lane can handle 30 vehicles per hour.

To find out how many toll lanes are needed to handle 4796 vehicles, we must divide the total number of vehicles by the number of vehicles that a single toll lane can handle:4796/30 = 160Since there can't be a fraction of a toll lane, we must round up to the nearest whole number. Therefore, we can conclude that MTA should open six toll lanes to ensure that no more than ten vehicles are waiting in line on average.

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Answer: 1 cups of nuts : 1 1/2 cups of raisins

Step-by-step explanation:

Answer:90 degree

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

According to the Angle Sum Property of Triangles, the sum of the internal angles is 180°.

The zeroes of the factored polynomial as required to be determined in the task content are: x = -6 and x = 8.

It follows from the task content that the zeroes of the completely factorised polynomial are to be determined.

Since the given polynomial is; x² - 2x - 48 which has been factorised completely to; (x + 6) (x - 8).

Ultimately, the zeroes of the Polynomial are as follows;

x + 6 = 0; x = -6.

and

x - 8 = 0; x = 8.

Conclusively, the zeroes of the polynomial are; x = -6 and x = 8.

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Answer:

b

Step-by-step explanation:

i think i might be wrong

Answer:

−y−1=3

Step-by-step explanation:

Which equation can be used to find the solution of (1/4)^y+1=64?

This can be solved by power of indices

(1/4)^(y+1)=64

(4^-1)^(y + 1)= 4^3

Note

(x^a)^b = x^ab

Hence:

4^(-1)(y + 1)= 4^3

4^-y - 1 = 4^3

Divide both sides by 4

−y−1=3

Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is

−y−1=3

Answer:

-y-1=3

Step-by-step explanation:

took the test and got it correct

Karissa measures the width of her book using the metric unit Centimeter(cm).

In this question,

The metric system of measurement is the standard system based on decimal values. The metric system is a system of measurement that uses the meter, litre, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

To measure smaller or larger quantities, we use units derived from the metric units. It has unit conversions based on the powers of 10. Millimeter (mm), Decimeter (dm), Centimeter (cm), Meter (m), and Kilometer (km) are used to measure how long or wide or tall an object is.

In units of measurement of length or width we use centimeter (cm) to measure. We can use this unit for measuring the length of a box, the width of a book etc.

Hence we can conclude that Karissa measures the width of her book using the metric unit Centimeter(cm).

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Answer:

15

Step-by-step explanation:

H - 7

When H = 22, replace H with 22 in the equation.

22 - 7 = 15

Answer:

15

Step-by-step explanation:

Since H=22, therefore when you plug in 22 for h in the equation, you get 22-7=15

Answer

50/1    6/7

Step-by-step explanation: