If 115 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $260,how many of each went to the concert?

Answer:

is 15.2

Step-by-step explanation:

Answer:

X+4=Y

So lets look at the first one,

X=0

So 0+4=4

So Y=4

Answer:

Step-by-step explanation:

\( \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}\)

Step-by-step explanation:

\( \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54\)

Answer:

Number = 34

Step-by-step explanation:

We are looking for our mystery "number". I will call this number N.

We can find out what our equation looks like based on what the question tells us.

"three times a number" is 3N

"added to 2" is + 2

Which so far is 3N + 2

"divided by the number plus 5" is ÷ \({N+5}\)

Combined with the first two parts to give us (3N + 2) ÷ (N + 5)

"the result is eight third" So the above equation is equal to 8/3

Combining all these comments together to get the following equation

(3N + 2) ÷ (N + 5) = 8/3

Rearrange by multiplying both sides of the = by (N+5)

3N + 2 ÷ (N + 5) × (N + 5) = 8/3 × (N + 5)

Simplify

3N + 2 = 8/3 × (N + 5)

3N + 2 = 8N/3 + 40/3

Bring the N numbers to one side and the non N numbers to the other side, by subtracting 2 from both sides of the =

3N + 2 - 2 = 8N/3 + 40/3 - 2

Simplify

3N = 8N/3 + 34/3

and then subtracting 8N/3 from both sides

3N - 8N/3 = 8N/3 - 8N/3 + 34/3

Simplify

1N/3 = 34/3

Simplify for our final answer by multiplying both sides of the = by 3

1N/3 x 3 = 34/3 x 3

N = 34

Many of these steps can be skipped when solving for yourself but I wanted to be thorough

9514 1404 393

Answer:

  (b)  Yes, the line should be parallel to the triangular faces

Step-by-step explanation:

The base of a triangular prism is a triangular face. A "parallel cross section" is a cross section taken parallel to the base. So, the parallel cross section should be parallel to the triangular faces.

Answer:

Yes, the line should be parallel to the triangular faces

Step-by-step explanation:

I got it right on the test :)

Answer: 10

Step-by-step explanation:

The interquartile range is the whole box but not the whiskers, so lowest number to highest number you take these two and subtract thus the answer is 10

20 - 30 = 10

Answer:

  70 ft

Step-by-step explanation:

You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.

Each inch represents 10 feet, so 7 inches will represent ...

  7 × 10 ft = 70 ft

The gym is 70 ft wide.

__

Additional comment

You can also write and solve an equation that shows the measures are proportional:

  actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)

Multiplying both sides of this proportion by 7 in, we have ...

  gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft

Answer:

0.9983 = 99.83% probability that a majority will favor the proposal.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.

This means, respectively, that \(p = 0.7, n = 50\)

Mean and standard deviation:

\(\mu = E(X) = np = 50*0.7 = 35\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24\)

Probability that a majority (26 or more) will favor the proposal.

Using continuity correction, this is \(P(X \geq 26 - 0.5) = P(X \geq 25.5)\), which is 1 subtracted by the pvalue of Z when X = 25.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{25.5 - 35}{3.24}\)

\(Z = -2.93\)

\(Z = -2.93\) has a pvalue of 0.0017

1 - 0.0017 = 0.9983

0.9983 = 99.83% probability that a majority will favor the proposal.

Answer:

3 1/2 = 210 minutes

1/3 * 210 = 70 minutes = 1 hour and 10 minutes

Thank you and please rate me as brainliest as it will help me to level up

On solving the linear equation 3.5 = x/3 , we get that the time Carlos spent on reading last week was x= 10.5 hours

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing by same number to both sides.

Let Carlos spent x hours reading last week

Given that last week the time that Carlos spent practicing piano for 3 1/2 hours = 7/2 hours = 3.5 hours

Time spent on practicing piano = 1/3 ( time spent on reading)

⇒ 3.5 = (1/3) x

Multiply both sides by 3

⇒ 3.5 ×3 =3×(1/3)x

⇒10.5 = x

Therefore, the time spent by Carlos on reading last week is 10.5 hours.

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Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.

The identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.

Here, we have θ = 11π/12, so we need to express it as the sum of two angles.

In this problem, we are given θ = 11π/12 and we can use the sum of two angles.

11π/12 = π/6 + 5π/6

putting the value of α = π/6 and β = 5π/6.

The sum formula of the tangent becomes;

tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)

Let's put in the values of α and β:

tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))

The tangent of π/6 and 5π/6 will have values as;

tan(π/6) = √3/3

tan(5π/6) = -√3/3

Let's put in these values into the sum formula;

tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))

tan(11π/12) = 0 / (1 - (-3/9))

= 0 / (1 + 1/3)

= 0 / (4/3)

= 0

Therefore, tan(11π/12) = 0.

Part B;

Using difference formula, the value of cosθ can be expressed using the trigonometric identity

cos(α - β) = cosα * cosβ + sinα * sinβ

Since we are given θ = 11π/12;

Let's express this as the difference of two angles

11π/12 = 3π/4 - π/6

Putting the value α = 3π/4 and β = π/6.

Using the difference formula for cosine;

cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ

Let's plug in the values of α and β

cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)

The known values of cosine and sine for 3π/4 and π/6 are;

cos(3π/4) = -√2/2

cos(π/6) = √3/2

sin(3π/4) = √2/2

sin(π/6) = 1/2

Plugging these values into the difference formula;

cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)

cos(11π/12) = -√6/4 + √2/4

Combining like terms:

cos(11π/12) = (-√6 + √2) / 4

Therefore, cos(11π/12) = (-√6 + √2) / 4.

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The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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SOLUTION

Given the question in the image on the question tab;

The formula for calculating the area of sector is:

Final answer:

The complete order of the inverse function of the function f(x) = x + 5 is:

1. y = x + 5

2. x = y + 5

3. x - 5 = y

4. y = x - 5

The function is given as:

f(x) = x + 5

The opposite of the function f(x) = x + 5 is the inverse of the function.

So, we have:

f(x) = x + 5

Express f(x) as y

y = x + 5

Swap the positions of x and y

x = y + 5

Make x the subject of the formula

x - 5 = y

Rewrite as:

y = x - 5

Hence, the inverse function of the function f(x) = x + 5 is y = x - 5

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Appling the tangent of circle properties, the length of RS is solved to be

C. 13 in

To find the length of the tangent named RS, we applied the tangent of a circle property which says that the length of tangents to a particular point are equal

This leads to the mathematical equation represented below

SR = 7 in + 6 in

SR = 13 in

thus we can say that length of the tangent SR = 13 in

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Answer:

b

Step-by-step explanation:

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

it 11  IT NOT 22 NOR 2 okay 11

Step-by-step explanation:

Answer:

\(solution \\ 2x - 3 = x + 4(being \: alternate \: exterior \: angles) \\ or \: 2x - x = 4 + 3 \\ x = 7 \\ hope \: it \: helps\)

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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Answer:

Step-by-step explanation:

Nope.

Also, 7 + 1 is a monomial as it is equal to 8 which is a monomial.

The value of x is 10.28

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Given the parameters as;

M∠RST=(3x+17) ∘ ,

m ∠ S T U = ( 8 x + 1 )

and m ∠ T R S = ( 3 x + 18 ) ∘

We need to find the value of x.

We know that interior angles of a triangle add up to 180 degrees

Therefore,

(3x+17) + ( 8 x + 1 ) +  ( 3 x + 18 ) = 180

14x + 36 = 180

14x = 180 - 36

14x = 144

x = 10.28

The value of x is 10.28

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Answer:

24

Step-by-step explanation:

Because of similar triangles,

UV/UG = UW/UH

132/24 = 132/UH

UH = 24

Answer:

24

Step-by-step explanation:

GU.U.V=HU. UW

24×132=HU×132

3168=132HU

HU=24

Answer:

4 1/2

Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2