Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?

okay, what numbers do you have to divide?

The equation "Sixty-four reduced to a number is forty-eight" can be expressed algebraically or as algebra expression as: 64 - x = 48

In this equation, the variable "x" represents the unknown number that we are trying to find. By subtracting "x" from 64, we are reducing the value to 48.

Therefore, it can be translated into an algebraic equation:

64 - x = 48

Solving the equation allows us to determine the value of the variable "x," which represents the number we are looking for. The use of variables in algebraic expressions allows us to generalize problems and find solutions for different scenarios.

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Answer:

C. 1

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

$144 = 12 mangoes

Divide both sides by 12

$12 = 1 mango

Answer:

11/61

Step-by-step explanation:

Cos is equal to Adjacent over hypotenuse

For angle B, the adjacent side is side BC which is 11 units long

the hypotenuse is 61

11/61

The required probability of filling a cup between 25 and 31 ounces is 0.47721819

We need to find the z-score for the given limits and use the standard normal distribution formula.

z1​=(25−29)/σ = −4/σ

z2​=(31−29)/σ = 2/σ

Now, we have to find the probability that a cup contains between 25 and 31 ounces.

Using the standard normal distribution formula, we can find this probability as:

P(25 < X < 31) = P(z2​)−P(z1​) = P(2/σ)−P(−4/σ)

Using the standard normal distribution table, we can find the probabilities as:

P(z1​) = P(-4/σ) = 0.00003168

P(z2​) = P(2/σ) = 0.47724987

Thus, the probability of filling a cup between 25 and 31 ounces is:

P(25 < X < 31) = P(z2​)−P(z1​) = P(2/σ)−P(−4/σ)= 0.47724987 - 0.00003168 = 0.47721819.

Hence, the required probability of filling a cup between 25 and 31 ounces is 0.47721819.

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The distance across the lake is 190m. Rounding to the nearest hundredth of a meter, the answer is 190.00m.

We can use similar triangles to find the distance across the lake (DE). Since triangle CGF is similar to triangle CED, we can use ratios of the sides to find DE.

Let's call DE = x. Then, we have:

CE/FG = x/142.1

Solving for x, we have:

x = (CE * 142.1) / FG

CE = CF + FD = 130 + 60 = 190m

x = (190 * 142.1) / 142.1 = 190m

The distance across the lake is 190m. Rounding to the nearest hundredth of a meter, the answer is 190.00m.

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The complete question is :

To indirectly measure the distance across a lake, Dominic makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter.

The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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If the line tangent to the polar curve at θ = π/3 is horizontal, it means that the derivative of the polar function with respect to θ evaluated at θ = π/3 is zero. Therefore, the condition that must be true is: f'(π/3) = 0.

The slope of a tangent line to a curve represents the rate of change of the curve at a given point. If the line tangent to the polar curve at θ = π/3 is horizontal, it means that the curve is not changing in the vertical direction at that point. In other words, the rate of change of the curve with respect to θ is zero at θ = π/3.

Mathematically, the derivative of the polar function r = f(θ) with respect to θ represents the rate of change of r with respect to θ. So, if the tangent line is horizontal at θ = π/3, it means that the derivative of f(θ) with respect to θ, which is f'(θ), evaluated at θ = π/3 is zero. Hence, the condition that must be true is f'(π/3) = 0.

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Anwser : 23.8

Step 1: Subtract 5% from 25.

25 - (5% of 25) = 25 - (0.05 x 25)

Step 2: Simplify the equation.

25 - (0.05 x 25) = 25 - 1.25

Step 3: Subtract 1.25 from 25.

25 - 1.25 = 23.75

A sinusoidal function can be used to model the height because, the

height is given by the function; \(\underline{h = 13 \cdot sin \left(2\cdot t )\right) + 24}\)

The time the cart takes to complete a full rotation = 2 seconds

The location of the center of the ride above the ground = 24 feet

The cart in the observation is cart X

Required:

The reason why a sinusoidal function can be used to model the height of

the cart X above the ground.

Solution:

In the diagram from a similar question, the radius is given as 13 feet

The height at a particular time depends on the angle of rotation which

depends on the time of rotation.

A sinusoidal function can be presented as follows;

\(y = \mathbf{A \cdot sin \left(\dfrac{2 \cdot \pi}{B} \cdot (x - C )\right) + D}\)

Where;

y = h = The height

A = The radius = 13

C = 0

\(The \ \mathbf{period}, \ T = 2 = \dfrac{2 \cdot \pi}{B}\)

x = t = The time in seconds

D = 24

Which gives;

\(h = \mathbf{13 \cdot sin \left(2\cdot t )\right) + 24}\)

Therefore, the height can be modelled using the following sinusoidal

function; \(\underline{h = 13 \cdot sin \left(2\cdot t )\right) + 24}\)

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Answer:

1 and 5

Step-by-step explanation:

1. 6x + 1 = 3(2x - 4)

6x + 1 = 6x - 12

6x + 13 = 6x

-6x         -6x

    13 = 0x

no solution

2. 2-5x = 7x - 12

    2 = 12x - 12

    14 = 12x

    1 1/6 = x

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

  12 - 4x = 12 -4x

    -4x = -4x

   x = ∞

4. 5(x + 2) = 2(x - 4)

   5x + 10 = 2x - 8

   3x + 10 = -8

   3x= -18

   x = -6

5. -4(x + 3) = 4( -x - 1)

   -4x -12 = -4x -4

    -4x - 8 = -4x

     -8 = 0x

  no solution

Answer:

–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)

Step-by-step explanation:

I copied the other dude

Answer:

\(\boxed{\text{2. 4.7 units}}\)

Step-by-step explanation:

Assume your triangle has the dimensions shown below.

Before we can use the Law of Sines, we must find ∠C.

1. Calculate ∠C

\(\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}\)

2. Calculate b

Use the Law of Sines

\(\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}\)

Answer:

27º

Step-by-step explanation:

complementary angle is equal to 90º

90 - 63 = 27

Answer:

That's as far as I know.

Step-by-step explanation:

6(3x+8)+32+12x

18x+48+32+12x

30x+48+32

30x+80

Answer:

f x

Step-by-step explanation:

the equqtion's y intercept is -4 , and f (x) has that intercept

Answer:

f(x)

Step-by-step explanation:

The equation says -4 meaning that it moved down 4 spaces on the y-axis.

A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power

The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.

For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.

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Answer:

Find the mean x of the data 16, 31, 38, 24, 36

16 + 31 + 38 + 24 + 36

= 145

145 ÷ 5

Step-by-step explanation:

You're welcome.

Answer:

Step-by-step explanation:

Angle addition postulate:

angle FGB = 105°

angle BGH = 54°

The measure of angle FGH.

angle FGB + angle BGH = angle FGH

By putting the respected values, we get

105° + 54° = angle FGH

or, 159° = angle FGH

The measure of angle FGH is 159° .

Answer:

15 x 12.5 = 187.5

10 x 15 = 150

7.5 x 15 = 112.5

2( 10 x 7.5 x 0.5 ) = 2( 37.5 ) = 75

187.5 + 150 +112.5 + 75 = 525

525

The null and alternative hypotheses for the above scenario are

H0: Their van has a miles/gallon (MPG) rating equal to 57.2 miles/gallon

Ha: Their van has a miles/gallon (MPG) rating that is different from 57.2 miles/gallon

Given that,

One automaker says that their van gets 57.2 miles per gallon (mpg). An impartial testing business has been hired to evaluate the mpg for this van. They tested 91 vans, and the results showed that the average mileage was 56.9 with a standard deviation of 1.8 mpg. Is there adequate proof that the vans don't meet their mpg rating at the 0.025 level

To find: state the null and alternative hypotheses for the above scenario.

The null and alternative hypotheses for the above scenario are

H0: Their van has a miles/gallon (MPG) rating equal to 57.2 miles/gallon

Ha: Their van has a miles/gallon (MPG) rating that is different from 57.2 miles/gallon

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Answer:

400

Step-by-step explanation:

375 , 400, 410 (arrange in asc or des)

median = (middle num) = 400

Hope its right!

Answer:

400

Step-by-step explanation:

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.

Population - all of the households in New York City in 1900.

Variable - a quantity equivalent to the number of children in a randomly selected household

Parameter -  the mean number of children per household in New York City in 1900

Sample - the 200 households selected by the historian

Data - the 200 records collected by the historian

Statistic -  the mean number of children per household in the historian's sample.

Complete question:

Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.

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1140 is the final price.

Step-by-step explanation: 20% of 950 is 190, so add that to 950 and you get 1140

Answer: 90%

135/150 * 100

45*2

90

Answer:

16/63

Step-by-step explanation:

The nth term of this sequence will be 2 raised to the power of 2 raised to the power of n - 2.

(a) Here, the sequence is formed as follows;

adding 3 to the previous term of the sequence and then the term number, n.

So, the nth term of this sequence will be n² + 2n.

Thus the next three terms are 123, 146, 171.

(b) Here, the sequence is formed as follows;

adding 4 to the previous term of the sequence.

So, the nth term of this sequence will be 4(n - 1) + 7. Thus the next three terms are 47, 51, 55.

(c) Here, the sequence is formed as follows;

For each integer in the list, convert it to binary. Drop the first digit from the first integer (since it is 1), then concatenate the resulting strings.

So, the nth term of this sequence will be the integer whose binary representation is obtained by concatenating the binary representation of the previous integer in the sequence with that of 1. Thus the next three terms are 1100, 1101, 1110.

(d) Here, the sequence is formed as follows;

the kth term of the sequence is the smallest prime number that has not yet appeared in the sequence, and then this prime number is repeated a number of times equal to the kth term of the sequence.

So, the nth term of this sequence will be the smallest prime number that has not yet appeared in the sequence for n - 1 times, repeated n - 1 times. Thus the next three terms are 7, 7, 7.

(e) Here, the sequence is formed as follows;

the kth term of the sequence is 2^(k-1) - 1.

So, the nth term of this sequence will be 3^n - 1.

Thus the next three terms are 59048, 177146, 531442.

(f) Here, the sequence is formed as follows;

the kth term of the sequence is the product of the first k odd primes.

So, the nth term of this sequence will be the product of the first n odd primes.

Thus the next three terms are 654729075, 12300270015015, 32589158477190044730.

(g) Here, the sequence is formed as follows;

the kth term of the sequence is the parity of the sum of the previous k terms.

So, the nth term of this sequence will be 1 if the number of 1s among the first n terms of the sequence is odd, and 0 otherwise. Thus the next three terms are 1, 1, 1.

(h) Here, the sequence is formed as follows;

the kth term of the sequence is 2 raised to the power of the kth term of the sequence that immediately precedes it.

So, the nth term of this sequence will be 2 raised to the power of 2 raised to the power of n - 2.

Thus the next three terms are 18446744073709551616, 3.402823669209385e+38, 1.1579208923731617e+77.

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The radius of convergence of the series sigma cnx9n will be R raised to the power 1/9.

Radius=a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter. the length of such a line.

The radius of convergence of the sum of the two series will be 5.

sigma (cnxn + dnxn) = sigma cnxn + sigma dnxn, and if both the series on the right-hand side converge.

The LHS converges for values of x on which both the series on the RHS converge. Hence, the LHS will converge on the intersection of the convergence of the two RHS series.

( if 5 < |x| < 6, the second series will converge, but the first will not.)

The series sigma cnx9n has radius of convergence R raised to the power 1/9.The series sigma cnxn has radius of convergence R. This means that it converges for |x| < R.The series sigma cnx9n can be written as sigma cn(x9)n

This means that the series converges for |x9| < R.

Therefore, the radius of convergence of the series sigma cnx9n will be R raised to the power 1/9.

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Step-by-step explanation:

Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .