Solve the following equation for x.
3x - 9 = -42

Answer:

10 tickets = $5

25 tickets = $12.50

50 tickets = $25

100 tickets = $50

Step-by-step explanation:

If 1 ticket equals 0.50 in order to find the price for 10 all you do is do 10 x 0.50. The same for all the others. Just take the amount of tickets and multiply them by 0.50. :)

9514 1404 393

Answer:

  x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

  (x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

  (x -2)^2 -(√2)^2 = 0

  x^2 -4x +4 -2 = 0

  x^2 -4x +2 = 0 . . . . the equation you're looking for

Answer:

-66.8

Step-by-step explanation:

I just used an advanced calculator

Answer:

a = -66.8

Step-by-step explanation:

33 + a = - 33.8

a = -33.8 - 33

a = -66.8

*~Check~*

33+ (-66.8 ) = x

33 - 66.8 = x

x = -33.8

CORRECT

Answer:

9

Step-by-step explanation:

To find out, we use the formula for direct variation:

A = kwh

Where A is the area, k is the constant of proportionality, w is the width, and h is the height.

From the information given, we can find k:

6 = k (4)(3)

6 = 12k

k = 0.5

So, the area when width is 6 and height is 4 is:

A = kwh = 0.5 (6)(4) = 9

Answer:

Step-by-step explanation:

Where the above conditions are given in the equation,  x is 45.

Given equations are  -

m∠PQR = x + 7 ,

m∠SQR = x + 3 ,

and m PQR + m SQR = m PQS = 100

using those equations we need to find value of x.

Plug value of (m PQR = x + 7) and (m SQR = x + 3 ) into (m PQR + m SQR = m PQS = 100 )

(x+7) + ( x+3) = m PQS = 100

(x+7) + (x +3) = 100

Remove parenthesis

x+7 + x+3 = 100

Rearrange terms

x + x +3+7 = 100

Combine like terms

2x+10 = 100

2x= 100 - 10

2x=90

x=90/2

x=45

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What is the value of x? Identify the missing justifications. M PQR = x + 7 , m SQR = x + 3 , and m PQR + m SQR = m PQS = 100

The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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Answer:

21

Step-by-step explanation:

CANT SEE THEM

Answer:

- 2 ≤ x < 8

Step-by-step explanation:

The closed circle at x = - 2 means that x can equal - 2

The open circle at x = 8 means that x cannot equal 8

All value in between are possible values for x, then the inequality is

- 2 ≤ x < 8

The explicit rule formula an = -2n + 8 is an arithmetic progression

The value of a11 is -14

The explicit rule formula is given as:

an = -2n + 8

Substitute 11 for n to calculate a11

a11 = -2 * 11 + 8

Evaluate the product

a11 = -22 + 8

Evaluate the sum

a11 = -14

Hence, the value of a11 is -14

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To prove the isosceles triangle theorem, you must use the fact that the base angles of an equilateral triangle have equal measure, and then use the properties of isosceles triangles to show that the two angles opposite the equal sides are also equal.

To prove the isosceles triangle theorem, we can follow these steps:

Step 1: Draw an isosceles triangle with sides AB and AC of equal length.

Step 2: Draw a line from point A to point D, perpendicular to line BC.

Step 3: Use the definition of an isosceles triangle to state that ∠ABD and ∠ACD are congruent.

Step 4: Use the definition of a perpendicular line to state that ∠ADB and ∠ADC are congruent.

Step 5: Use the definition of a triangle to state that ∠BAC and ∠BAC are congruent.

Step 6: Use the Congruent Triangles Postulate to state that triangle ABD and triangle ACD are congruent.

Step 7: Use the definition of congruent triangles to state that ∠ABC and ∠ACB are congruent.

Step 8: Use the definition of an isosceles triangle to conclude that the isosceles triangle theorem is true.

Therefore, we have proven the isosceles triangle theorem, which states that the base angles of an isosceles triangle are congruent.

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Here is ur answer it is easw

the answer is -(10)-1=-11

Answer: y=-25

Step-by-step explanation:

Plug in -8 for x

3(-8)-1

-24-1

-25

Answer:

x= -25

Step-by-step explanation:

-8(3)-1=

-24-1=

-25

Step-by-step explanation:

y = 0.5x + 4

When y = 2, x = -4. (shown in graph)

When y = 6, x = 4. (shown in graph)

Hence the domain would be -4 <= x <= 4.

Answer:

75.5

Step-by-step explanation:

9,524 divided by 126 is equal to 75 with a remainder of 30.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To perform the division of 9,524 by 126, you can use long division as follows:

 126 | 9,524 | 75

      882

      ---

      1124

     1008

     ----

      1164

     1134

     ----

        30

In other words:

9,524 ÷ 126 = 75 R 30

Therefore,

9,524 divided by 126 is equal to 75 with a remainder of 30.

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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Answer:

|x-7|=3

Step-by-step explanation:

x is 3 units away from 7

x-3=7

x-7=3

x+3=7

3=7-x

|x-7|=3

Answer:

-20+8x

Step-by-step explanation:

Answer:

-20 + 8x

Step-by-step explanation:

\(-4(5-2x)\\\\-20+8x\\\\\left \{ {{-4 * 5 = 20} \atop {-4 * -2x = 8x}} \right.\)

Hope this helps.

On solving the provided question, we can say that - by doing the linear equations here we have have \(2x - y - z = 0 = > x + 2y - z = 0\\\)

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Ax+By=C is the typical form for linear equations with two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts (x and y) for an equation of this type is not too difficult. If an equation has the formula y=mx+b, with m standing for the slope and b for the y-intercept, it is said to be a linear function. This form is not applicable to nonlinear functions. There are no terms that include the products of variables in linear equations, just first order variables.

\(x - 2y + z = 0\\2x - y + z = 0\\x - y - z = 0\\2x - y - z = 0\\x + 2y - z = 0\\\)

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Answer:

34.2 mm (millimeters) converted to cm (centimeters) is 3.42.

Answer:

The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.

Step-by-step explanation:

Answer:

diameter=radius divided by 2

The unit circle is the circle centered at with radius The unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions

The unit circle is a circle that is centered at the origin (0, 0) of a coordinate plane and has a radius of 1 unit. In other words, it is a circle with a diameter of 2 units.

The unit circle is particularly significant in mathematics, especially in trigonometry. Its properties and relationships with angles are extensively used in various mathematical applications.

One of the main reasons the unit circle is so important is due to its connection with the trigonometric functions sine and cosine. As an angle rotates around the origin,

the coordinates of the point on the unit circle where the terminal side of the angle intersects the circle correspond to the values of sine and cosine of that angle.

For example, if an angle of 30 degrees is measured counterclockwise from the positive x-axis, the coordinates of the corresponding point on the unit circle would be (√3/2, 1/2), which are the values of sine and cosine for that angle.

Additionally, the unit circle provides a convenient way to visualize and understand other trigonometric functions such as tangent, cotangent, secant, and cosecant.

By examining the ratios of the coordinates on the unit circle, we can relate these trigonometric functions to the lengths and angles associated with right triangles.

In summary, the unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions and aiding in the understanding of angles, ratios, and relationships within the field of mathematics.

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To compute the performance measures using the Naive Forecast, we need to use the actual values from April to December.

ME (Mean Error) is the average of the forecast errors. To compute it, we subtract the actual values from the forecasts and take the average. In this case, since we are using the Naive Forecast, the forecast for each month is equal to the actual value of the previous month. Therefore, we have:

ME = (1086 - 1008) + (1081 - 1086) + (1036 - 1081) + (1058 - 1036) + (1128 - 1058) + (1113 - 1128) + (1027 - 1113) + (1021 - 1027) + (1081 - 1021) = -29

The MSE (Mean Squared Error) is the average of the squared forecast errors. To compute it, we square each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MSE = [(1086 - 1008)^2 + (1081 - 1086)^2 + (1036 - 1081)^2 + (1058 - 1036)^2 + (1128 - 1058)^2 + (1113 - 1128)^2 + (1027 - 1113)^2 + (1021 - 1027)^2 + (1081 - 1021)^2] / 9 = 2218

MAD (Mean Absolute Deviation) is the average of the absolute forecast errors. To compute it, we take the absolute value of each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MAD = (|1086 - 1008| + |1081 - 1086| + |1036 - 1081| + |1058 - 1036| + |1128 - 1058| + |1113 - 1128| + |1027 - 1113| + |1021 - 1027| + |1081 - 1021|) / 9 = 33

MAPE (Mean Absolute Percentage Error) is the average of the absolute forecast errors as a percentage of the actual values. To compute it, we divide each absolute forecast error by the actual value, sum them up, and then divide by the number of observations. In this case, we have:

MAPE = (|1086 - 1008| / 1008 + |1081 - 1086| / 1086 + |1036 - 1081| / 1081 + |1058 - 1036| / 1036 + |1128 - 1058| / 1058 + |1113 - 1128| / 1128 + |1027 - 1113| / 1113 + |1021 - 1027| / 1027 + |1081 - 1021| / 1021) / 9 * 100 = 2.99%

The Tracking Signal is the ratio of the cumulative forecast errors to the MAD. To compute it, we sum up the forecast errors and divide by the MAD. In this case, we have:

Tracking Signal = (-29) / 33 = -0.88

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False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Price should Active Fuel use for market selling $51 per pound.

What is profit?
Profit is the term used to describe the financial gain experienced when the revenue from a business activity exceeds the costs, costs, and taxes associated with maintaining that activity. Any profits generated are returned to the company's owners, who can decide whether to keep the money for themselves, pay dividends to shareholders, or reinvest it in the company. The money a business keeps after deducting all costs is known as profit. The main objective of any business, whether it be a small lemonade stand or a publicly traded multinational corporation, is to make money. As a result, a business's success is measured by its profitability in all of its forms.

Given, Cost price = $34
Profit% = 50%
Selling price = CP + 50% of CP = 34 + 50% * 34 = $ 51
Hence, option 2 is correct.

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Answer:

1.35 is the cost of the regular ice cream

Step-by-step explanation:

The formula for finding the total surface area of ​​the faces of a cylindrical container is 2r(h + r), where r is the radius of the circular base of the cylinder and h is its height.

The cylindrical container has two rounded bottoms and a curved surface. We need to take these two things into account to get the total surface area of ​​the cylindrical container.

The equation for the all-out region of a barrel-shaped compartment is 2r(h + r), where r is the span of the round base and h is the level of the chamber.

The region (2πrh) of a bent surface of a chamber can be gotten by adding the regions (2πr²) of the upper and lower roundabout surfaces. The area of ​​each cylindrical face is taken into account in the resulting formula.

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The question is -

What is the formula for calculating the total surface area of the faces of the cylindrical container?

Answer:

A

Step-by-step explanation:

Because it's subtracting 2 hours every day, the slope is -2. Also because it's 30 hours, it's 30. Therefore: A.) y=-2x+30 is the answer.

Hopes this Helps!