does x+6=x have one solution, no solution, or infinite solutions?

The number of pairs that must be randomly selected from the set {1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 16 is 5.

In the given set {1,3,5,7,9,11,13,15}, there are four pairs that sum up to 16, which are (1,15), (3,13), (5,11), and (7,9). Let k numbers be picked from the set. Consider k = 5, then using the pigeonhole principle, for one of the pairs described above, both of the endpoints must have been picked. Hence, if 5 numbers are picked from the set, then there exists a pair with a sum of 16.

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Consumer choice is influenced not only by the marginal utility that extra units of a good will yield, but also by how much satisfaction must be given up to obtain extra units of the good.

What is marginal utility?

Marginal utility is extra satisfaction that is derived from having an additional product or extra unit.

Each Individual determine what to buy based on the amount of satisfaction that is derived on the product.

Therefore, consumer choice is influenced not only by the marginal utility that extra units of a good will yield, but also by how much satisfaction must be given up to obtain extra units of the good.

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The second triangle will have the same side lengths and angles as the initial triangle.

The correct option is D.

The reflection of an equilateral triangle relative to the line passing through its side results in a new equilateral triangle that is the same size as the initial triangle. Therefore, the correct answer is D: The second triangle is the same size as the initial triangle.

When a figure is reflected across a line, every point on the figure is flipped to the opposite side of the line, maintaining the same distances and angles. In the case of an equilateral triangle, each side is reflected to the opposite side of the line, resulting in a new equilateral triangle with the same side lengths and angles.

The property of an equilateral triangle is that all three sides are equal in length, and all three angles are equal to 60 degrees. The reflection does not alter these properties. Therefore, the second triangle will have the same side lengths and angles as the initial triangle.

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In order to create a diagram that represents the quantities of each ingredient adde, could be:

CM = X X X

FB = X X

CS = x

Where CM is Cups of Milk, FB is Frozen Bananas and CS is Chocolate Syrup. There, x representent the ammount of each ingredient.

Now, we determine the proportions of the ingredients:

There are 3 cups of milk per two frozen bananas (3:2)

There are 2 frozen banas per tablespoon of chocolate syrup (2:1).

There are 3 cups of milk per tablespoon of chocolate syrup (3:1).

Now, in order to write 3 sentences that contain the ratio of the ingredients we could think of it as a recipe:

*"In order to get this smoothie we will need 3 cups of milk and a tablespoon of chocolate syrup."

*"We will also add 2 frozen bananas for each tablespoon of chocolate syrup."

*"Remember that that is the ammount of ingredients per serving, so if you want more servings you will also need another extra 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup for each extra serving."

Answer:

\(x = 5\)

\(y = 16\)

Step-by-step explanation:

Given

See attachment for parallelogram

Required

Find variables x and y

Solving for x, we have:

\(5x = 25\) ---- Opposite sides of a parallelogram

\(\frac{5x}{5} = \frac{25}{5}\) ------ Divide both sides by 5

\(x = 5\)

Solving for y, we have:

\(3y - 1 = 47\) ---- Opposite sides of a parallelogram

\(3y = 1 + 47\) ------ Collect like terms

\(3y = 48\)

\(\frac{3y}{3} = \frac{48}{3}\) ---- Divide both sides by 3

\(y = 16\)

Answer:

answer is 1

Step-by-step explanation:

(n+2)⁵/(n+2)³ = 1² = 1

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is y.

As, the number of rides he went on is twice the number of games he played. Thus,

\(y=2x\)

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

\(1.25x+2.75y=20.25\\\)

Put the value of y in the above equation from the equation one as,

\(1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3\)

Thus the number of games he played is 3.

Put this value of x in the equation one as,

\(y=2\times3\\y=6\)

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

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AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

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Step-by-step explanation:

marked price = 100%

1% = 100%/100 = marked price / 100

discount = marked price - selling price

discount % = discount / 1% =

= (marked price - selling price) / (marked price)/100 =

= 100×(marked price - selling price) / (marked price)

Answer:

Step-by-step explanation:

None of them are correct. The closest is D.

The domain is all real x or (-∞, ∞)

The range is [0, ∞).

Answer:

Options (1), (2) and (5) are true.

Step-by-step explanation:

Option (1). m∠1 = (2x + 10)°

lines c and d are the parallel lines and t is a transverse.

Therefore, m∠1 = (2x + 10)° [corresponding angles]

This option is true.

Option (2). m∠3 = 87°

Since ∠3 and angle having measure equal to 87° are the vertical angles therefore, both the angles will be equal in measure.

This option is true.

Option (3). m∠2 = (2x + 10 + 5x - 1)°

m∠2 = (5x - 1)° [Since both the angles are interior alternate angles]

Therefore, this option is not true.  

Option (4). m∠1 + m∠2 = m∠3

(5x - 1) + (2x + 10) + 87 = 180° [Sum of liner angles at a point is 180°]

7x + 96 = 180

7x = 180 - 96

x = \(\frac{84}{7}\)

x = 12

Therefore, m∠1 = (2x + 10) = 34°

                 m∠2 = (5x - 1) = 59°

                 m∠3 = 87°

For the given relation,

m∠1 + m∠2 = m∠3

34 + 59 = 87

93 = 87

Not true.

Therefore, this option is not correct.

Option (5). 87 + 2x + 10 + 5x - 1 = 180°

True.

Since these angles are the linear angles so the sum of all angles = 180°

Therefore, the given option is correct.

Options (1), (2) and (5) are the true.

Answer:

answer 1 2 and 5

Step-by-step explanation:

right on edge

Answer:

the 2nd one (60m minutes)

Step-by-step explanation:

60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m

The scenario that is an example of simple random sampling is option c. The supermarket selects every 20th customer entering the supermarket to fill out a survey, ensuring each customer has an equal chance of being selected. The correct answer is C).

The scenario that is an example of simple random sampling is option c. A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey.

Simple random sampling is a type of probability sampling in which each member of the population has an equal chance of being selected. In option c, every 20th customer entering the supermarket is selected, which ensures that each customer has an equal chance of being selected.

Options a, b, and d do not meet the criteria for simple random sampling. Option a is an example of stratified sampling, option b is an example of voluntary response sampling, and option d is an example of convenience sampling. The correct answer is option C.

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The factored form of the expression \(x^2 - 9\) is \((x+3)(x-3)\)

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function \(x^2-9 \ and \ x^2+9\)

For the function \(x^2 - 9\)

\(=x^2-9\\=x^2-3^2\)

Using the difference of two squares:

\(a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)\)

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

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Answer:

\(6a^{2} \sqrt{ab}\)

Step-by-step explanation:

area of square = side x side

thus, each side = square root of area

\(\sqrt{36a^5b}\) = 6\(\sqrt{a^{4} ab}\) = 6\(a^{2}\)\(\sqrt{ab}\)

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

\(f(x)=\sqrt{x}\\\\g(x)=7x+b\)

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

\(f(g(x))=\sqrt{(7x+b)}\)

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

\(y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b\)

Therefore, the value of b is equal to 8.

Answer:

please give me brainlist and follow

Step-by-step explanation:

42 ÷ w = 7 for w = 6. First, Shaylee must substitute ( ) for ( ). To simplify, Shaylee must divide ( ) by ( ) .

Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309

Data;

To calculated the amount Sangeetha got, let's solve the ratio

\(4 + 1 = 5\\\frac{4}{5} * 515 = 412\)

Sangeetha got Rs 412.

To calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515

\(\frac{1}{5} * 515 = 103\)

The difference in the amount is calculated by subtracting 412 from 103

\(412 - 103 = 309\)

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The answer is

Step-by-step explanation:

Since there is 3 even numbers and 3 odd numbers it makes a 50/50 chance when spun once. If you spin it 60 times you will have spun it 30 times theoretically.

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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Answer:

D: -5,2,6

Step-by-step explanation:

We need a sample size of at least 2 subjects to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence.

To determine the number of subjects needed to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence, we can use the formula:

n = (Z * σ / E)^2

Where:
n = sample size needed
Z = Z-value corresponding to the desired level of confidence (in this case, 80% confidence corresponds to a Z-value of 1.28)
σ = standard deviation of the population (unknown in this case)
E = desired margin of error (0.57 books)

Since the standard deviation of the population is unknown, we can use a conservative estimate of 0.5 for σ. Plugging in the values:

n = (1.28 * 0.5 / 0.57)^2
n ≈ (0.64 / 0.57)^2
n ≈ 1.122^2
n ≈ 1.259

Since we can't have a fraction of a subject, we need a sample size of at least 2 subjects to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence.

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Answer:

Slope:40 Y-intercept: 70 (AKA, B)

Step-by-step explanation:

y=mx + b

(mx is slope, the x can show u where the slope is usually located.)

let me know if im wrong

Answer:

20 scoops

Step-by-step explanation:

Zack fills two bird feeders with birdseed. Each bird feeder holds 2 1/2​ ​ cups of birdseed.

Hence, the two bird feeders would require:

2 × 2 1/2 cups of bird seed.

= 5 cups of bird seed

Zack's scoop holds 1/4 cup. Write an expression for the number of scoops Zack needs to fill both feeders.

The number of scoops zack needs to fill both feeders is:

= 5 ÷ 1/4

= 5 × 4/1

= 20 scoops

Zack would need 20 scoops to fill both feeders.

The answer is simply 20 cups

Step-by-step explanation: