Nadia receives a restaurant bill for £75.60 this bill includes an 8% service charge how much was the restaurant bill before the service charge ​

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

The probability that the mean height is greater than 63.0 inches is  "import scipy.stats as st, followed by 1-st.norm.cdf(63, loc=65.6, scale=2.7)".

scipy is a Python library for scientific computing, and st.norm in scipy.stats is the normal (Gaussian) distribution. The st.norm function. cdf() computes a normal distribution's cumulative distribution function (CDF), which gives the probability of receiving a value less than or equal to a given value.

At the value 63 inches, the function st.norm.cdf(63, loc=65.6, scale=2.7) computes the CDF of the normal distribution for men's height in the United States, with a mean of 65.6 inches and a standard deviation of 2.7 inches. The loc argument represents the distribution's mean, and the scale argument represents the distribution's standard deviation.

We need to find the probability of getting a value greater than 63 inches because we want to find the probability of the mean height being greater than 63 inches. This is 1-st.norm.cdf(63, loc=65.6, scale=2.7) minus the CDF of the normal distribution at 63 inches.

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Answer:

\(\text{Area}=\frac{15(x+1)}{2(x-2)}\)

Step-by-step explanation:

Length of the rectangle given in the picture = \(\frac{5x+5}{x+3}\)

Width of the rectangle = \(\frac{3x+9}{2x-4}\)

Area of the rectangle = Length × Width

                                    = \(\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}\)

                                    = \(\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}\)

                                    = \(\frac{15(x+1)(x+3)}{2(x+3)(x-2)}\)

                                    = \(\frac{15(x+1)}{2(x-2)}\)

Therefore, area of the given rectangle is \(\frac{15(x+1)}{2(x-2)}\).

Answer:

there are 84 pages in the book.

Step-by-step explanation:

let's call the pages in the book b.

1/3b + 1/3b + 28 = b

2/3b + 28 = b

subtract 2/3b from both sides of the equation

2/3b - 2/3b + 28 = b - 2/3b

28 = b - 2/3b

28 = b/3

multiply both sides of the equation by 3

28 * 3 = b/3 * 3

28 * 3 = b

84 = b

Answer:

The book has 84 pages

Step-by-step explanation:

Equations

Let's make:

x = number of pages of the book

Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:

\(\displaystyle \frac{x}{3}+28+\frac{x}{3}=x\)

Multiplying by 3:

\(x+84+x=3x\)

Simplifying:

x = 84

The book has 84 pages

Answer:

15 years old

Step-by-step explanation:

15 x 20 = 300

John = S + 5

Sam = 15

John = 20

Sam = 15

Answer:

the answer to your problem would be sam is 15 and John is 20

18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64                  

And, x% = 18.39                

Now, we get pair of simple equations

100% = 329.64                  ........(1)

x% = 18.39                         ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

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After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

The answer is B

Step-by-step explanation:

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

\(x=\frac{3}{8},\:x=0\)

Step-by-step explanation:

\(x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}\)

\(\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}\)

\(=\sqrt{3^2-4\cdot \:8\cdot \:0}\)

\(\sqrt{3^2}\)

3

\(x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}\)

Separate the solutions:

\(x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}\)

\(x=\frac{3}{8},\:x=0\)

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:

Answer:

Step-by-step explanation:

First discount

90/100 * 90 = 81 dollars

Second discount.

Be careful. This is usually a discount from the price in part are.

5% of 81 = 5/100 * 81 = 4.05

81 - 4.05 = 76.95

The rule that describes the transformation is (x, y) → (y, -x)

We are given that;

The points (-2,5),(2,5),(2,1).

Now,

To rotate a point 90° clockwise with the origin as the center of rotation, we can use the following rule:

(x, y) → (y, -x)

This means that the x-coordinate of the original point becomes the y-coordinate of the new point, and the y-coordinate of the original point becomes the opposite of the x-coordinate of the new point.

For example, applying this rule to the point (-2, 5), we get:

(-2, 5) → (5, 2)

Therefore, by the transformation the answer will be(x, y) → (y, -x)

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Answer:

you add it up ..

Step-by-step explanation:

yw

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

∠PQT = 97°

∠SQR = 83°

Step-by-step explanation:

Supplementary angles sum to 180°

⇒ ∠PQT + ∠SQR = 180°

Given:

Therefore:

⇒ (3x + 43) + (6x - 25) = 180

⇒ 3x + 6x + 43 - 25 = 180

⇒ 9x + 18 = 180

⇒ 9x = 162

⇒ x = 18

Substitute the found value of x into the expression for each angle:

⇒ ∠PQT = (3x + 43)°

⇒ ∠PQT = (3(18) + 43)°

⇒ ∠PQT = 97°

⇒ ∠SQR = (6x - 25)°

⇒ ∠SQR = (6(18) - 25)°

⇒ ∠SQR = 83°

Check

⇒ ∠PQT + ∠SQR = 97° + 83° = 180°

Answer:

The answer is 0.5 meters

Step-by-step explanation:

Circumference of a circle = 2πr.

Given, circumference = 3.14 meters.

Now,

2πr = Circumference of a circle

2πr = 3.14.

2 × 3.14r = 3.14, [Putting the value of pi (π) = 3.14].

6.28r = 3.14.

r = 3.14/6.28.

r = 0.5 m

Thus, The answer is 0.5 meters

-TheUnknownScientist 72

Answer:

2x + 6y = 9 , 3x -12y = 15

3x - 12y = 15    3x = 12y + 15    x = 4y + 5

+12y   +12y         /3     /3

2x + 6y = 9 , x = 4y + 5

2(4y + 5) + 6y = 9        2x + 6(-1 / 14) = 9

8y + 10 + 6y = 9            2x - (3/7) = 9

14y + 10 = 9                    2x = 66 / 7

14y = -1                            x = 33 / 7

/14    /14

y = -1 / 14

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

Answer:

  G.  24

Step-by-step explanation:

The perimeter of the figure is the sum of its side lengths. The given dimensions tell us all of the side lengths.

Triangle BCX is given as an isosceles triangle with a base angle of 60° and side lengths of 4. Such a triangle is equilateral, so all side lengths will have a measure of 4.

The given information tells us all sides that appear parallel are parallel, so the figure consists of 4 equilateral triangles. Every short line segment has length 4.

The perimeter is the length of 6 short line segments, so is ...

  P = 6×4 = 24

The perimeter of parallelogram ABCD is 24 units.

Answer:

Step-by-step explanation:

you have to find the mean of the two fractions, adding and then dividing by two

(1/5 + 1/9) : 2 =

14/45 : 2 =

7/45

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Therefore , the solution to the given problem of interest comes out to be $272.

Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.

Here,

Given: $250 in principal

a 2.2% interest rate

and a 4-year term

To discover the basic interest:

Using this formula

Simple interest is equal to

=>P*R*T/100,

=> 250*2.2*4/100

=> 22.

Total amount after 4 years = 250 + 22 =272

Therefore , the solution to the given problem of simple interest comes out to be $272.

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Answer:

  7.8 pounds

Step-by-step explanation:

The relation between pounds and kilograms is proportional:

  \(\dfrac{\text{books}}{3.5\text{ kg}}=\dfrac{1\text{ lb}}{0.45\text{ kg}}\qquad\text{pounds to kg proportion}\\\\\text{books}=\dfrac{(3.5\text{ kg})(1\text{ lb})}{0.45\text{ kg}}=\dfrac{3.5}{0.45}\text{ lb}\qquad\text{multiply by 3.5 kg}\\\\\boxed{\text{books}\approx7.8\text{ lb}}\)

The stack of books weighs about 7.8 pounds.