at the city museum, child admission is $5.30 and adult admission is $9.80. on thursday, 143 tickets were sold for a total sales of $1149.40. how many adult tickets were sold that day?

Answer:

38.46%

Step-by-step explanation:

there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection

out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%

From the Pythagorean theorem, we can relate the values:

We can rewrite the expression as it follows:

If we name this expression as: A: (x + 6) and B: (x - 8)

We now have:

The only way for this expression to be zero is if A of B, or both equal zero. From this, we have:

The first answer, x = - 6, has no real meaning because there no sense someone waked a negative amount of kilometers. From this, we know that Michelle walked 8 km.

The answer, as explained, is C: 8km.

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

0.0285714286

Step-by-step explanation:

1÷35=0.0285714286

0.0285714286×35=1.000000001

Answer:

x^2-9

Step-by-step explanation:

-3 + 3 = 0 so the x terms cancel out.  This leaves you with only x^2-9

Answer:

Step-by-step explanation:

Answer: area of the sector is 52.3m²

Step-by-step explanation:

The formula for determining the area of a sector is expressed as

Area = θ/360 × πr²

Where

θ represents the central angle which is formed by the two radii

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

r = 10 meters

Therefore,

Area = 60/360 × 3.14 × 10²

Area = 60/360 × 3.14 × 100

Area = 52.333

Rounding up to 1 decimal place, it becomes

52.3m²

Answer: B. 70

Step-by-step explanation:

i actually can't tell but i think this is right

Answer:

Hm?

Step-by-step explanation:

Why should i

Answer:

Step-by-step explanation:

y = -3x / 4 + 9

Answer:

52 mph

Step-by-step explanation:

Distance = rate x  time.  We know the distance and we know the time.  We are looking for the rate.

The rate and time of Laney + the rate and time of Paul gives us the total distance of 26.

\(\frac{7}{2}\) x + 2x = 286          (3\(\frac{1}{2}\) is the same as \(\frac{7}{2}\))

\(\frac{11}{2}\) x = 286          (3 1/2 + 2 = 5 1/2 or \(\frac{11}{2}\))          Multiply both sides by \(\frac{2}{11}\)

(\(\frac{2}{11}\)) \(\frac{11}{2}\) x = 286 \((\frac{2}{11})\)

x = \(\frac{572}{11}\)

x = 52

Answer:

21/99 or 7/33

Step-by-step explanation:

let 'x' = .21 repeating

100x = 21.21 repeating

subtract 1x from 100x to get:

21.21 - 0.21 = 21

100x - 1x = 99x

99x = 21

x = 21/99 or 7/33 simplified

The power of a quotient states that if you power a quotient, the result is equal as if you had powered the numerator and denominator by the same index separatelly before makinf the division

the remaining sides and angles of the triangle are:

Side c ≈ 5.44

Angle A ≈ 47.3°

Angle B ≈ 42.7°

To solve for the remaining sides and angles of the triangle, we can use the Law of Sines and the Pythagorean Theorem. Given the information:

a = 4

b = 3.7

C = 90°

1. Finding Side c using the Pythagorean Theorem:

Since angle C is a right angle (90°), we can use the Pythagorean Theorem to find the length of side c:

c^2 = a^2 + b^2

c^2 = 4^2 + 3.7^2

c^2 = 16 + 13.69

c^2 = 29.69

c ≈ √29.69

c ≈ 5.44

2. Finding Angle A using the Law of Sines:

We can use the Law of Sines to find angle A:

sin A / a = sin C / c

sin A / 4 = sin 90° / 5.44

sin A = (4/5.44) * 1

sin A ≈ 0.7353

A ≈ arcsin(0.7353)

A ≈ 47.3°

3. Finding Angle B using the Triangle Angle Sum:

Since the sum of the angles in a triangle is 180°, we can find angle B:

B = 180° - A - C

B = 180° - 47.3° - 90°

B ≈ 42.7°

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According to the question the solution are as follows that given the information:

a = 4

b = 3.7

C = 90°

To solve for the remaining sides and angles, we can use the trigonometric relationships in a right triangle, specifically the sine, cosine, and Pythagorean theorem.

First, let's find angle A using the sine function:

sin(A) = a / c

sin(A) = 4 / c

To find c, we can use the Pythagorean theorem:

c^2 = a^2 + b^2

c^2 = 4^2 + 3.7^2

c^2 = 16 + 13.69

c^2 = 29.69

c = √29.69

c ≈ 5.45

Now, let's find angle A:

sin(A) = 4 / 5.45

A = sin^(-1)(4 / 5.45)

A ≈ 41.4°

Next, we can find angle B using the fact that the sum of the angles in a triangle is 180°:

B = 180° - A - C

B = 180° - 41.4° - 90°

B ≈ 48.6°

Finally, we have the following values:

A ≈ 41.4°

B ≈ 48.6°

C = 90°

a = 4

b = 3.7

c ≈ 5.45

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Answer:

2n + 1 to find the first odd number.

Step-by-step explanation:

that is it

Answer:

5ft - 7.2ft +2.2 ft = 0

When he finishes the trick he will be in the starting point.

Step-by-step explanation:

to write the expression we have to analyze the information given:

Forward: 5 feet

Backwards: 7.2 feet

Forward: 2.2 feet

So, we simply have to sum the tricks that takes him forward and subtract the tricks that take him backwards.

Mathematically speaking:

5ft - 7.2ft +2.2 ft = 0

When he finishes the trick he will be in the starting point, because the expression equals 0.

Answer:

The answer is D: 30 g.

Step-by-step explanation: I googled the answer to this question and it said that NHS reccomends that adults take around 30 g of fibre as a daily dose. If you take less, you may not get enough, but if you take more, you would possibly overdose. So, the answer is D: 30g.

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

The probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

It is a branch of mathematics that deals with the occurrence of a random event.

a. The probability that a single battery-powered alarm clock works successfully is 1 minus the probability that it fails.

1 - 0.005 = 0.995 or 99.5%.

b. The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is the product of their individual probabilities of failure.

0.005 x 0.052 = 0.00026 or 0.026%.

The probability that both of them do not fail is the complement of the probability that they both fail

1 - 0.00026 = 0.99974 or 99.974%.

Hence, the probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

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Let's begin by listing out the information given to us:

The elevator starts at 80 m

The elevator descends 2 meters every 0.5 seconds for 4 seconds

The inequality is given by:

The set notation is given by:

The complete graph with 100 vertices will have \(\( \binom{100}{2} = 4950 \)\)edges. Therefore, the correct option is (a) 4950. A connected graph with 100 vertices must have at least 99 edges.

1. A complete graph with 100 vertices means that there is an edge between every pair of vertices. The number of edges in a complete graph with n vertices is given by the formula \(\( \binom{n}{2} = \frac{n(n-1)}{2} \)\). Substituting n = 100, we get\(\( \frac{100 \cdot 99}{2} = 4950 \)\) edges.

2. In a connected graph with n vertices, the minimum number of edges required to ensure connectivity is n - 1. Therefore, a connected graph with 100 vertices must have at least 99 edges.

3. The given algorithm has a loop that divides the value of k by 2 in each iteration. As long as k is greater than or equal to 1, the loop continues. Since the value of k is halved in each iteration, the loop will run approximately \log ntimes. Therefore, the complexity of the algorithm is \(\( O(\log n) \)\).

4. The Minimum Spanning Tree algorithm is a Greedy method because it makes locally optimal choices at each step to construct the minimum spanning tree.

5. A graph is called connected if there is a path between every pair of vertices. Therefore, if a graph has a path between each two vertices, it is a connected graph.

6. NP-Complete problems are a subset of problems in the NP-class and are also NP-Hard. Therefore, any problem in the NP-Complete class is in both NP-class and NP-Hard class.

7. The algorithm with linear complexity is the Max is in-place Algorithm, which finds the maximum element in an array by comparing each element with the current maximum and updating it if necessary.

8. The worst-case time complexity of Insertion Sort is\(\( O(n^2) \)\) because in the worst case, for each element, it may need to be compared and shifted with every element to its left.

9. Dijkstra's algorithm is an example of the Greedy method for finding the shortest path in a graph.

10. The correct option is not provided for question 10, as none of the given options

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Answer:

7,9,11

Step-by-step explanation:

Let first number is x, second number is (x+2) and third number is (x+4).

ATQ,

The product of the smaller two integers is 3 less than 6 times the largest integer.

x(x+2) = 6(x+4)-3

x² + 2x = 6x+24-3

x² + 2x = 6x+21

x² + 2x -6x -21=0

x²-4x -21=0

It is a quadratic equation whose solution is :

x = -3 and x = 7

First number = 7

Second number = 9

Third number = 11

Hence, this is the required ssolution.

The first term of the geometric sequence is 2.

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given

Geometric sequence

---, 4, 8, 16, 32, ---

\(a_{2} =2^{2}=4\)

\(a_{3} =2^{3} =8\)

\(a_{4} =2^{4} =16\)

\(a_{5} =2^{5} =32\)

So, \(a_{n}=2^{n}\)

Then

\(a_{1}=2^{1}=2\)

The first term of the geometric sequence is 2.

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Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

The simplified form of the given equation is \(=\frac{6}{5x^{10}}\)

We have given that,

\(\sqrt{\frac{72x^{16}}{50x^{36} }\)

Apparently, you want to simplify the given equation,

\(\sqrt{\frac{72x^{16}}{50x^{36} }\)

The applicable rules of exponents are,

 (a^b)(a^c) = a^(b+c)

 1/a^b = a^(-b)

 (a^b)^c = a^(bc)

So the expression simplifies as

 \(=\sqrt{\frac{72x^{16}}{50x^{36} }}\\\\=\frac{6}{5x^{10}}\)

Therefore the simplified form of the given equation is \(=\frac{6}{5x^{10}}\)

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When dividing 528 by 4 using long division, the quotient is 132 with no remainder.

Explanation: To begin, we write the dividend (528) and the divisor (4) in long division format. We start by dividing the first digit of the dividend (5) by the divisor (4). Since 5 is larger than 4, we can divide it evenly, resulting in a quotient of 1. We multiply the quotient (1) by the divisor (4), which equals 4, and subtract it from 5, leaving a new dividend of 1. Next, we bring down the next digit (2) to form the new dividend (12). We divide 12 by 4, which gives us a quotient of 3. We multiply the quotient (3) by the divisor (4), which equals 12, and subtract it from 12, leaving no remainder. At this point, we have completed all the divisions, and the remainder is zero. Therefore, the final quotient is 132 with no remainder.

      132
  ___________
4 | 528
     4
    ------
      128
      12
     ------
         8
         8

         ------

          0

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Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square

Answer:

You need to take a better picture. I cannot read it.

Step-by-step explanation:

Answer:

22ft

Step-by-step explanation:

2+2+5+4+4+2+2= 22