A survey of 520 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:

172 watched TV
156 ate pizza
38 watched TV and ate pizza, but did not hang out with friends
36 watched TV and hung out with friends, but did not eat pizza
40 hung out with friends and ate pizza, but did not watch TV
38 watched TV, hung out with friends, and ate pizza
63 did not do any of these three activities
How may 18-24 year olds (of these three activities) only hung out with friends last Friday night?

Your Answer:

Answer:

19 and - 8

Step-by-step explanation:

( u ￮ w )(3)

evaluate w(3) then substitute the value obtained into u(x)

w(3) = - 2(3)² = - 2(9) = - 2 × 9 = - 18 , then

u(- 18) = - (- 18) + 1 = 18 + 1 = 19

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

( w ￮ u )(3)

evaluate u(3) then substitute the value obtained into w(x)

u(3) = - 3 + 1 = - 2 , then

w(- 2) = - 2(- 2)² = - 2(4) = - 2 × 5 = - 8

The e values that satisfy the inequality 3e ≤ 6, are e = 1 and e = 2.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

To determine which values of e satisfy the inequality 3e ≤ 6, we can divide both sides by 3 -

3e/3 ≤ 6/3

e ≤ 2

Therefore, any value of e that is less than or equal to 2 will satisfy the inequality.

Out of the given choices, e = 1 and e = 2 satisfy the inequality, but e = 3 does not, because 3 is greater than 2.

Therefore, the correct answers are -

e = 1 and e = 2

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Answer:

The down payment Lynette made is:

Down payment = 20% of $34,000 = $6,800

The amount financed is:

Amount financed = Total price - Down payment

Amount financed = $34,000 - $6,800 = $27,200

To calculate the monthly payment, we can use the following formula:

Monthly payment = (Pr(1+r)^n) / ((1+r)^n - 1)

where:

P = amount financed

r = monthly interest rate

n = number of months

First, we need to calculate the monthly interest rate:

Monthly interest rate = APR / 12

Monthly interest rate = 4.4% / 12 = 0.0036667

Now, we can calculate the monthly payment:

Monthly payment = ($27,200 * 0.0036667 * (1+0.0036667)^60) / ((1+0.0036667)^60 - 1)

Monthly payment = $501.47

The total cost of the car is the sum of the down payment and the total of all the monthly payments over 60 months:

Total cost = Down payment + Monthly payment * 60

Total cost = $6,800 + $501.47 * 60

Total cost = $37,688.20

Therefore, the total cost of Lynette's car is $37,688.20.

Answer:

the future value or total amount due at the end of 8 months is $9,330.00

Step-by-step explanation:

To find the future value of a loan that is borrowed at a simple interest rate, we use the formula:

A = P(1 + rt)

where A is the future value or total amount due, P is the principal or initial amount borrowed, r is the simple interest rate as a decimal, and t is the time period in years.

In this case, the principal is $9000, the simple interest rate is 5.5% or 0.055 as a decimal, and the time period is 8 months or 8/12 = 2/3 years.

Substituting these values into the formula, we get:

A = 9000(1 + 0.055 × 2/3)

= 9000(1.0375)

= $9,330.00

Therefore, the future value or total amount due at the end of 8 months is $9,330.00

we know that a year has 12 months, so 8 months is really 8/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A = 9000[1+(0.055)(\frac{2}{3})] \implies A = 9330[/tex]

Answer:

See Picture

Step-by-step explanation:

The original sin(x) function starts at (0,0) and oscillates around the x-axis between y=1 and y=-1, intercepting it in intervals of π.

To graph sin(x)-2 then, we simply need to graph a sin(x) function 2 units lower.

Answer:

what kinda question is this?

Step-by-step explanation:

Answer:

[tex]1 - 25xy2256xx28( [/tex]

An equation can be solved by finding the value of the variables.

Solving an equation involves finding the value(s) of the variable(s) that make the equation true. The process for solving an equation depends on the type of equation and the specific instructions or conditions given.

1) 18 - a/16 = 17

18 - a = 16 * 17

18 - a = 272

a = 18 - 272

a = -254

2) 15 - n/-10 = -21

15 - n = (-21) * (-10)

15 - n = 210

n = 15 - 210

n = -195

3) 12 + y/-20 = 18

12 + y = 18 * (-20)

y = -372

4) c + 17/-26 = -5

c + 17 = (-5) (-26)

c = 113

5) 3c + 12 = 36

c = 36 - 12/3

c = 8

6) 1/5 f - 9 = -24

1/5 f  = -24 + 9

1/5 f = -15

f = -15 * 5

f = -75

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The reference angle for A = -300° is given by R = 60°

Every angle is measured from the positive part of the x-axis to its terminal line (the line that determines the end of the angle) traveling counterclockwise. For angles in the first quadrant, i.e., angles less than or equal to 90 degrees, the reference angle is equal to the original angle.

The reference angle is always positive

0° to 90°: reference angle = angle

90° to 180°: reference angle = 180° - angle

180° to 270°: reference angle = angle - 180°

270° to 360°: reference angle = 360° - angle

Given data ,

Let the reference angle be represented as R

Now , let the given angle be A

A = -300°

And , for 270° to 360°: reference angle = 360° - angle

when the angle is negative and less than -270°

The reference angle is given by adding 360° to it and the angle lies in the first quadrant

So , the reference angle R = A + 360°

R = -300 + 360

R = 60°

Hence , the reference angle is 60°

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Answer:

If the marlin weighs over 1,500 pounds, and it "dresses out two thirds of that," that means that the weight of the meat that can be harvested from the marlin is 2/3 of 1,500 pounds, or 1,000 pounds (since 2/3 x 1,500 = 1,000).

If the price per pound is thirty cents, then the total value of the meat is 1,000 x 0.30 = $300.

Using the rules of writing a pattern, we found the missing numbers and found the pattern:

52, 62, 72, 82

What is a pattern?

A pattern in mathematics is a series of recurring figures, shapes, or numbers. Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. There are many distinct kinds of patterns, including word patterns, logic patterns, image patterns, and number patterns. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series. The number of patterns can be limitless or finite.

We are asked to find the missing digits to complete the pattern.

5_, 62, _2, _2

So the numbers have two digits.

For this pattern, the last three numbers end with the digit 2.

So the first number should be 52.

Now the difference between 52 and 62 is 10.

Since the last two numbers also have an ending digit as 2, the difference between two consecutive numbers should be 10.

Then the pattern is:

52, 62, 72, 82.

Therefore using the rules of writing a pattern, we found the missing numbers and found the pattern:

52, 62, 72, 82

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Answer:

Step-by-step explanation:

(x-4)^2-9=0

Let's assume a=x-4 and b=3

We know that,

[tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]

substituting values a, and b in above equation we get,

(x-4+3)(x-4-3)==

(x-1)(x-7)=0

x=1,7

Answer:

[tex]\displaystyle{x=7,1}[/tex]

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{\left(x-4\right)^2-9=0}[/tex]

Add 9 both sides:

[tex]\displaystyle{\left(x-4\right)^2-9+9=0+9}\\\\\displaystyle{\left(x-4\right)^2=9}[/tex]

Square root both sides:

[tex]\displaystyle{\sqrt{\left(x-4\right)^2}=\sqrt{9}}[/tex]

Cancel square root for left side and add plus-minus to right side:

[tex]\displaystyle{x-4=\pm \sqrt{9}}[/tex]

Evaluate the surd of 9:

[tex]\displaystyle{x-4=\pm 3}[/tex]

Add 4 both sides:

[tex]\displaystyle{x-4+4=\pm 3 +4}\\\\\displaystyle{x=\pm 3 +4}[/tex]

Two solutions can be either:

[tex]\displaystyle{x=3+4}[/tex] or [tex]\displaystyle{x = -3+4}[/tex]

Hence:

[tex]\displaystyle{x=7,1}[/tex]

Answer:

8.3 units

Step-by-step explanation:

To find the distance between the two points, use the distance formula.

Distance = [tex]\sqrt{(x-x)^2+(y-y)^2}[/tex]

(x, y)

(-1.5, 4)

(-5, -3.5)

[tex]\sqrt{(x-x)^2+(y-y)^2}[/tex] - Formula

[tex]\sqrt{(-1.5--5)^2+(4--3.5)^2}[/tex] - Plug in values

[tex]\sqrt{(3.5)^2+(7.5)^2}[/tex] - Simplify parenthesis

[tex]\sqrt{12.25+56.25}[/tex] - Simplify

[tex]\sqrt{68.5}[/tex] = 8.27647267862 = 8.3

The average U.S. citizen uses approximately 88 gallons of water a day.

What is Frequency?

Frequency is a measure of how often an event occurs within a given period of time. It is typically expressed as the number of occurrences of a given event per unit of time. Frequency can be used to measure a variety of phenomena such as the frequency of sound in a given environment or the frequency of a particular chemical element in a given sample.

Selina's low-flow toilet and showerhead will reduce her total water use to just 48.4 gallons per day, a savings of 39.6 gallons of water each day. This is a 44.8% reduction in her water consumption, saving her almost 40 gallons of water per day.

By making these improvements, Selina is helping to conserve a precious resource and limit her environmental impact. Not only is she helping to conserve water, but she is also saving money on her water bill. It is estimated that a typical household can expect to save about $170 annually by making these simple changes.

In addition to her low-flow fixtures, Selina can take additional steps to reduce her water consumption. She can install a water-efficient dishwasher, reduce the frequency of her laundry loads, and install a rain barrel to collect rainwater for gardening. By making these changes, she can reduce her water consumption even further and save even more money.

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binary operation has at most one identity element.

A binary operation is a mathematical operation that takes two elements from a set and combines them to produce a third element in the same set. In other words, it is an operation that involves two operands, which can be numbers, variables, or other mathematical objects.

Let's suppose that a binary operation "⋆" has two identity elements "e" and "f", where "e" and "f" are distinct. This means that for any element "a" in the set on which the binary operation is defined, we have:

a ⋆ e = a and f ⋆ a = a (since "e" and "f" are identity elements)

Now, let's consider what happens when we apply the binary operation "⋆" to "e" and "f":

e ⋆ f = f (since "e" is an identity element)

e ⋆ f = e (since "f" is an identity element)

This means that "f = e", which contradicts our assumption that "e" and "f" are distinct. Therefore, it is not possible for a binary operation to have two distinct identity elements.

Hence, we can conclude that a binary operation has at most one identity element.

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Answer:

12.7 inches

Step-by-step explanation:

We know that the length of a diagonal is :

[tex]d=a\sqrt{2}[/tex]

Here d = Diagonal of a square

a = Side of a square

Given:

The perimeter of a Square is 36 inches.

Since the formula for the perimeter of a square is 4a

Thus, 4a = 36

⇒ a = 36÷4 = 9 inches

Now,

d = 9×√2 = 12.7 inches

Hence the length of a square is 12.7 inches.

Therefore, unitary method solution is in order to have enough turf to cover the amphitheatre, the city must purchase at least 6 pallets of it.

Take the lengths of this minute subsection and split the sum by two to complete a task using a variable unitary technique. The unit technique, in a nutshell, removes a wanted item both from the specific sets and color subsets. For instance, 40 pencils will cost Rs/kg ($1.01). It's possible that one country will have total influence over the approach taken to accomplish this. Almost every living creature has a distinctive quality.

Here,

A is equal to (70)2/4, which is 15,386.78 square feet.

We split the area by the area covered by each roll of turf to determine the quantity of rolls necessary to cover this area:

Rolls Equals A / Rolls' surface area

Given that the size per roll is 30 square feet, we have:

15,386.78 rolls divided by 30 equals 512.89 rolls.

Ceil(number of rolls / 100) = minimal number of pallets

the smallest number larger than or equal to x, ceil(x), is. If we replace the value we discovered with the quantity of rolls, we get:

Ceil (512.89 / 100) = Ceil (5.1289) = Minimum number of boxes = 6

Therefore, in order to have enough turf to cover the amphitheatre, the city must purchase at least 6 pallets of it.

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Answer:

To solve the equation -7(1-4m)=13(2m-3), we can start by simplifying each side of the equation:

-7(1-4m) = 13(2m-3)

-7 + 28m = 26m - 39 (distributing the -7 and 13)

Next, we can simplify further by combining like terms:

28m - 26m = -39 + 7

2m = -32

Finally, we can solve for m by dividing both sides of the equation by 2:

m = -16

Therefore, the solution to the equation -7(1-4m)=13(2m-3) is m = -16.

Answer:

[tex] \sf \: m = - 16[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of m.

The equation is,

→ -7(1 - 4m) = 13(2m - 3)

Then the value of m will be,

→ -7(1 - 4m) = 13(2m - 3)

→ -7(1) + 7(4m) = 13(2m) - 13(3)

→ -7 + 28m = 26m - 39

→ 28m - 26m = 7 - 39

→ 2m = -32

→ m = -32 ÷ 2

→ [ m = -16 ]

Hence, the value of m is -16.

The image was created by translating 5 units down, 5 units up, 1 unit down, and 1 unit up. ABCD and A'B'C'D' are two polygons on the graph.

The first polygon, ABCD, has vertices at (1,-1), (3,-5), (7,-5), and (8,-5). (5,-1). The vertices of the second polygon, A'B'C'D', are located at (1,-6), (3,-10), (7,-10), and (8,-10). (5,-6).

Vertices are points in a geometric figure that define its shape. A vertex is defined mathematically as the intersection of two or more lines, edges, or curves.

We can compare the coordinates of the two polygons to determine the translation that was used to create the image. The first coordinate of the two polygons is (1,-1) and the second coordinate is (1,-1). (1,-6). The y-coordinate difference is 5 units, so the translation is 5 units down. The two polygons' second coordinate is (3,-5) and (3,-10). The y-coordinate difference is 5 units, so the translation is 5 units down.

The second polygon's third coordinate is (7,-5) and (7,-10). The y-coordinate difference is 5 units, so the translation is 5 units down. (5,-1) is the fourth coordinate of both polygons (5,-6). The y-coordinate difference is 5 units, so the translation is 5 units down.

The image was translated 5 units down, 5 units up, 1 unit down, and 1 unit up.

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The volume of the composite figure is 408 cm³

An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.

The volume of the composite figure is:

Volume = area of base * height

Substituting:

Base area = (14 * 3) + (1/2)(5 + (14-6))(7 - 3) = 68 cm²; height = 6 cm

Volume = area of base * height = 68 cm² * 6 cm = 408 cm³

The volume is 408 cm³

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The segment CD is common on both ΔACD and ΔBCD.

Polygon, which has three sides and three vertices, is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

Two triangles ΔACD and ΔBCD in the given image.

To find the commonality between two triangles ΔACD and ΔBCD:

The sides of the triangle ΔACD are AC, CD, and AD.

The sides of the triangle ΔBCD are BC, CD, and BD.

From the diagram,

we can clearly see that the segment CD is common on both ΔACD and ΔBCD.

CD ≅ CD (reflexivity)

Therefore, the common segment is CD.

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Using Pythagοras theοrem, The length οf the bridge needed tο cοnnect Main Street and Secοnd Street is apprοximately 4.53 miles.

A basic geοmetry theοrem that deals with the sides οf a right triangle is knοwn as the Pythagοrean theοrem. Accοrding tο the theοrem, the square οf the length οf a right triangle's hypοtenuse—its lοngest side—is equal tο the sum οf the squares οf the lengths οf the triangle's οther twο sides, which are referred tο as its legs.

The fοllοwing is hοw the theοrem is written in mathematical nοtatiοn:

[tex]c^2 = a^2 + b^2[/tex]

Where a and b are the lengths οf the οther twο sides (legs) οf the right triangle and c is the length οf the hypοtenuse. The Pythagοrean equatiοn is a cοmmοn fοrm fοr expressing this relatiοnship.

Pythagοras, an ancient Greek mathematician, is credited with discοvering the Pythagοrean theοrem, which bears his name. It has several uses in physics, engineering, mathematics, and οther disciplines.

Tο determine the length οf the bridge needed tο cοnnect Main Street and Secοnd Street, we need tο find the distance between the twο streets.

We can dο this by using the Pythagοrean theοrem, which states that in a right triangle, the square οf the length οf the hypοtenuse (the lοngest side) is equal tο the sum οf the squares οf the lengths οf the οther twο sides.

In this case, we can think οf the bridge as the hypοtenuse οf a right triangle, with Main Street and Secοnd Street fοrming the οther twο sides. We can then use the Pythagοrean theοrem tο find the length οf the bridge as fοllοws:

Length οf the bridge = square rοot of ([tex]3.4^2 + 3^2[/tex])

= square roοt of (11.56 + 9)

= square roοt of 20.56

= 4.53 miles (rounded to twο decimal places)

Therefοre, the length of the bridge needed to cοnnect Main Street and Second Street is apprοximately 4.53 miles.

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Answer: 9x

Step-by-step explanation:

You combine like terms.

Therefore , the solution of the given problem of expressions comes out to be  16 ounces are equal to 1 pound.

There is a need for mathematical operations like multiplying, splitting, joining, and currently removing. If they were combined, it would read as follows: A mathematical formula, some data, and an equation Values, elements, and mathematical operations like additions, deductions, errors, subdivisions, and algebraic formulas all go into making a declaration of truth. It is possible to assess and analyse words and sentences.

Here,

=> 6x - 3 is an expression that is equal to 3(2x-1).

We can spread the 3: to see why this is true.

=> 3(2x-1) = 6x - 3

There are 5,280 feet in a mile, as the saying goes.

5280 feet make up a mile.

Simply put, this phrase means that 5,280 feet is equal to 1 mile.

One way to say "there are 16 ounces in a pound" is:

A pound weighs 16 ounces.

Simply put, this phrase means that 16 ounces are equal to 1 pound.

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Zeros, vertex, and end behavior can all be used to determine the height that the golf ball travels from its initial location to the point where the golf ball starts falling towards the ground.

Graph is a data structure that consists of a set of nodes and edges that connect those nodes. Nodes are used to represent entities, such as people, places, or objects, and edges are used to represent the connections between those entities. Graphs are used to represent relationships between data, such as in networks, social media, and biological systems. Graphs can also be used to represent mathematical equations, as in function graphs.

Zeros, or x-intercepts, are the points where the graph of the quadratic function crosses the x-axis. The vertex is the highest point of the graph and can be used to determine the peak of the golf ball's trajectory. Finally, the end behavior of the graph can be used to determine how the graph will change as x increases or decreases without bound. This can be used to determine the point at which the golf ball begins to fall towards the ground.

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Answer:

Step-by-step explanation:

14.7 N

The answer is "no," the ordered pair (4, 28) is not a solution of the equation.

A solution of an equation is a value or set of values that makes the equation a true statement when substituted for the variable(s) in the equation.

To determine if the ordered pair (4, 28) is a solution of the equation 7 = y - 5x, we need to substitute the values x = 4 and y = 28 into the equation and check if it is a true statement:

7 = y - 5x

7 = 28 - 5(4) // Substitute x = 4 and y = 28

7 = 28 - 20

7 = 8

The statement 7 = 8 is not true, which means that the ordered pair (4, 28) is not a solution of the equation 7 = y - 5x. Therefore, the answer is "no," the ordered pair (4, 28) is not a solution of the equation.

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Area formula: A = (base)(height)

A = 24 x 16

= 384 cm^2

The solutions to the equation x²= -8x - 7 are x = -1 or x = -7.

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

To complete the square for this equation x^2 = -8x - 7

Adding the square of half the coefficient of x (which is (-8)/2 = -4) to both sides of the equation:

x² + 8x + (-4)²= -7 + (-4)^2

This gives us:

x² + 8x + 16 = 9

Now we can write the left-hand side as a perfect square:

(x + 4)² = 9

Taking the square root of both sides gives us:

x + 4 = ±3

Solving for x, we get:

x = -4 ± 3

Therefore, the solutions to the equation x²= -8x - 7 are: x = -1 or x = -7.

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By answering the supplied question, we may infer that the response is equation 1.6 x 30 Equals $48 for an adult pass if the price is $30.

so on.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Let's assume that a child's pass costs $x.

The issue states that the price of an adult pass is 1.6 times that of a kid pass. Thus, an adult pass costs:

$1.6 times

So, if a child's pass is expensive:

a) If an adult pass costs $10, then 1.6 x 10 equals $16.

b) $20, then 1.6 x 20 Equals $32 for an adult pass.

1.6 x 30 Equals $48 for an adult pass if the price is $30.

so on.

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