If 141 people attend a concert and tickets for adults cost $3.25 while tickets for children cost $1.75 and total receipts for the concert was $345.75, how many of each went to the concert

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

\(7.2-n > 29\)

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to \(\leq\) or greater than equal to \(\geq\).

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

\(7\dfrac{2}{10}\)

Suppose the unknown number is n.  Now, the differences of seven and two tenths, and this number (n) is more than twenty-nine.  The more than word means, the greater than sign for equation. Thus, it can be expressed as,

\(7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29\)

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

\(7.2-n > 29\)

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A is the answer to the question

Hope it helps

Answer:

the answer is A

Step-by-step explanation:

(4, 1)

x = 4 y = 1

x + 2y = 6

4 + 2(1) = 6

4 + 2 = 6

x - y = 3

4 - 1 = 3

hopefully this helps :)

Answer:

$864.88

Step-by-step explanation:

(1. $600 + $49.50 = $649.50

(2. $200 + $15.38 = $215.38

$649.50 + $215.38 = $864.88

A = $864.88

Answer: 145

Step-by-step explanation:

check

Answer:

why don't u send the pictures so I can help u out

Therefore, the probability that more than 50% of the people in the sample are married is approximately 0.115 (rounded to three decimal places).

To solve this problem, we can use the normal approximation to the binomial distribution since the sample size is large (n = 1000) and the proportion of married persons (p) is not too close to 0 or 1.

The mean of the sample proportion can be calculated as:

μ = p = 0.482

The standard deviation of the sample proportion can be calculated as:

σ = sqrt((p * (1 - p)) / n) = sqrt((0.482 * (1 - 0.482)) / 1000) ≈ 0.015

To find the probability that more than 50% of the people in the sample are married, we need to calculate the z-score and find the area under the normal curve to the right of this z-score.

The z-score can be calculated as:

z = (x - μ) / σ = (0.5 - 0.482) / 0.015 ≈ 1.200

Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1.200 is approximately 0.1151.

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Answer:

14.

The card in 1997 is $9.98

The card in 1998 is $12.50

The card worth 1999 is $15.02

The relationship is not proportional as the ratio of year to value would be constant .

15.

A) d = 2/3m

B) d=40h

Step-by-step explanation:

Answer:

the kahn anwser is c

Step-by-step explanation:

Chrissy can knit 0.5 scarves in one day. It would take her 6 days to knit 3 scarves working alone.

Here, Using the unitary method

Lauren can knit 3 scarves in 2 days, which means her rate is 3/2 scarves per day. When Lauren and Chrissy work together, they can knit the same 3 scarves in 1.5 days, which means their combined rate is 2 scarves per day.

We want to find out how long it would take Chrissy to knit 3 scarves working alone.

Let the number of days it takes Chrissy to knit 3 scarves be d. Then her rate is 3/d scarves per day. We know that when Chrissy and Lauren work together, their combined rate is 2 scarves per day, so we can set up the equation

3/2 + 3/d = 2

Multiplying both sides by 2d, we get

3d + 6 = 4d

Simplifying, we get

d = 6

Therefore, it would take Chrissy 6 days to knit 3 scarves working alone.

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Answer:

3.8

Step-by-step explanation:

----------

Answer:

solution,

\(0.18(5x - 4) = 0.5x + 0.8 \\ or \: 0.9x - 0.72 = 0.5x + 0.8 \\ or \: 0 .9x - 0.5x = 0.8 + 0.72 \\ or \: 0.4x = 1.52 \\ or \: x = \frac{1.52}{0.4} \\ x = 3.8\)

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Good luck on your assignment..

The system of equations is:

x + y = 10

4x + 3y = 36

The solution is x = 6 and y = 4.

A)

Let's define the variables:

We can write the system of equations:

x + y = 10

4x + 3y = 36

Isolate x on the first equation to get:

x = 10 - y

Replace that in the other one:

4*(10 - y) + 3y = 36

40 - 4y + 3y = 36

40 - y = 36

40 - 36 = y

4 = y

And thus, the value of x is:

x = 10 - y = 10 - 4 = 6

They bought 6 cheese wafers and 4 chocolate ones.

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Answer:

g(x) = |x| - 7

Step-by-step explanation:

Given the parent function, g(x) = |x|, and its vertex at (0, 0):

Vertical translations: g(x) = |x| + k where:

k > 0, shifts up |k | units

k < 0, shifts down |k | units

Thus, a vertical translation of the parent graph can be represented with the following absolute value function:

g(x) = |x| - 7

where the vertex occurs at point, (0, -7).

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The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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Answer:

We need more info

Step-by-step explanation:

Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

\(= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}\)

\(= x^4 + x^2 + x\)

.

Happy to help :)

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

The sum of X and Y, Z = X + Y, is also a Gaussian random variable with zero mean and variance σx + σy. However, W and Z are not jointly Gaussian.

Let us consider X and Y to be two independent Gaussian random variables with zero means and variances σx and σy, respectively. Let

W = aX + bY,

where a and b are two constants such that a + b ≠ 0.The sum of the two random variables X and Y is Z = X + Y.It is easy to see that Z is also a Gaussian random variable with zero mean and variance σx + σy.

Therefore, the covariance of W and Z is given by

cov(W, Z) = cov(aX + bY, X + Y) = aσx + bσy

This covariance depends on the values of a and b, and it is not zero in general, which means that W and Z are not jointly Gaussian. Thus, we can construct an example of two random variables X and Y that are marginally Gaussian but whose sum is not jointly Gaussian as follows:Let X and Y be two independent Gaussian random variables with zero means and variances σx and σy, respectively. Let W = aX + bY, where a and b are two constants such that a + b ≠ 0.

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Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

drow application the way

Answer:

x = 8°, z = 67°

Step-by-step explanation:

To solve the given question, properties of perpendicular lines angles should be applied.

113 + z = 180 (supplementary angles)

z = 180 - 113

z = 67°

113 = 12x + 17 (vertically opposite angles are equal)

12x = 113 - 17

12x = 96

x = 96/12

x = 8°

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Answer:

x = 34

Step-by-step explanation:

The three angles form a straight line and are thus supplementary angles.  The sum of a supplementary angles is always 180, so we can use the equation 180 = x + 12 + 100 + x to find x:

180 = 2x + 112

68 = 2x

x = 34

x=-1, y =2 S { -1,2}

1) Solving that linear system

x + 2y = 3 x -5 To eliminate x

5× +5y = 5​

-5x -10y = -15

5x +5y = 5​

---------------------

-5y = -10

y =2

1.2 Plugging into the I equation:

x +2(2)= 3

x +4=3

x=-1

The word problem 4 and one tenth times negative 4 times 5 over 12 have a product of negative 8 and one fifth

Multiplication is one of the basic mathematical operator which is used to solve the given problem. It is the inverse of division. the result of multiplication is called the product

Rewriting the word problem 4 and one tenth times negative 4 times 5 over 12 to figures

4 1/10 * -4 * 5/10

solving the equation

= 4 1/10 * -4 * 5/10

= 41/10 * -4 * 5/10

= -41/5

= -8 1/5

The product of the multiplication is negative 8 and one fifth

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Answer: The unit circle is an essential tool in trigonometry because it helps in understanding and visualizing the relationships between angles and the values of the sine, cosine, and tangent functions.

The unit circle is a circle with a radius of one unit and centered at the origin of a coordinate plane. It is divided into 360 degrees or 2π radians. By placing this circle on the coordinate plane, we can easily determine the sine and cosine values of angles in standard position.

For any given angle θ, the sine value is the y-coordinate of the point where the terminal side of the angle intersects the unit circle, and the cosine value is the x-coordinate of that same point. The tangent function, which is the ratio of sine to cosine, can also be determined using the unit circle.

The unit circle also helps in understanding the periodicity of the sine and cosine functions. Since the circumference of the unit circle is 2π, the sine and cosine functions repeat themselves after every 2π radians or 360 degrees. This periodicity allows for the use of trigonometric identities and formulas to simplify and solve complex trigonometric equations.

In summary, the unit circle is an essential tool in trigonometry as it provides a visual representation of angles and their corresponding sine, cosine, and tangent values, and allows for the use of trigonometric identities and formulas to solve complex problems.

Answer:

for the first problem the largest side of the triangle is the letter C

for number 2 the largest side of the triangle is the letter B

Step-by-step explanation:

Answer:

3/11

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Answer:

14

Step-by-step explanation:

Distance between X and Y = 17 - 5 = 12

\(\dfrac{3}{4} \ of \ 12 = \dfrac{3}{4}*12=3*3=9\)

3/4 of the way from  X to Y = 5 + 9 = 14

Answer:

152 pencils remain after 14 days of school.

Step-by-step explanation:

Replace x in this formula with 14 (14 days):

f(14) = 250 - 7(14) = 250 - 98 = 152

152 pencils remain after 14 days of school.

Answer:...

Step-by-step explanation: