a concert manager counted 650 ticket receipts the day after a concert. the price for a student ticket was $11.50, and the price for an adult ticket was $13.00. the register confirms that $8,112.50 was taken in. how many student tickets and adult tickets were sold?

9514 1404 393

Answer:

  7 dimes

Step-by-step explanation:

Let d represent the number of dimes. Then 23-d is the number of quarters, and the total value is ...

  0.10d + 0.25(23-d) = 4.70

  -0.15d +5.75 = 4.70 . . . . . simplify

  1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides

  7 = d . . . . . . . . . . . divide by 0.15

There were 7 dimes in the change purse.

The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

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RS is a segment bisector.

R is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.

Options A, C, and E are the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the diagram below we have,

PQ = segment

RS = Bisector of the segment PQ

R = Vertex having two congruent angles.

Thus,

RS is a segment bisector.

R is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.

Options A, C, and E are the correct answer.

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

see below

Step-by-step explanation:

Assuming the comma means and

a) P(A , E) = P(A) * P(E) = .1 * .5 = .05

b) P( A, L, E) =  P(A) * P(L) *P(E) = .1 *.4* .5 = .002

C This means that it snows in Abbostford, Lehtbridge and Estevan today  is .002 or .2%

Using the arithmetic operations, the total change in her monthly electric bill over 5 months is +$10.58

For the past 5 months,

The change in her July electric bill = +$18.02

The change in her August electric bill =  +$1.03

The change in her September electric bill = -$0.44

The change in her October electric bill = -$6.84

The change in her November electric bill = -$1.19

The total change in her monthly electric bill over 5 months = Sum of all changes in her electric bill over 5 months

= +18.02+1.03-0.44-6.84-1.19

= +$10.58

Hence, the total change in her monthly electric bill over 5 months is +$10.58

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The instantaneous rate of change of profit with respect to the number of items produced when x=3 is 5 hundred dollars per item. This means that if the company produces one more item, the profit will increase by 5 hundred dollars.

The instantaneous rate of change of profit is given by the derivative of the profit function, which is P'(x)=4x-7. When x=3, P'(3)=5. This means that the profit is increasing at a rate of 5 hundred dollars per item when x=3.

In other words, if the company produces one more item, the profit will increase by 5 hundred dollars. This is because the derivative of a function at a point gives the slope of the line tangent to the function at that point. In this case, the line tangent to the profit function at x=3 has a slope of 5, which means that the profit is increasing at a rate of 5 hundred dollars per item.

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Answer:

He will pay $6375 in local income tax

He will have $68625 after paying his income tax.

Step-by-step explanation:

Since the income tax rate is 8.5% we can multiply this by $75,000 to see how much he will pay in local income tax.

8.5%*75000

I like converting percentages to fractions because it makes it easier.

8.5/100*75000

750*8.5=$6375

He will pay $6375 in local income tax

$75000-$6375=$68625

He will have $68625 after paying his income tax.

The eigenvalues of the matrix A over Z3 are λ = 0, 1, and 2.

To find all of the eigenvalues of the matrix A over the indicated Z3, we can follow these steps:

1. Write down the matrix A in the specified format:

A = | 1 1 |
     | 2 0 |

2. Compute the characteristic equation of the matrix A by finding the determinant of (A - λI), where λ represents the eigenvalues and I is the identity matrix.

(A - λI) = | 1-λ  1   |
                      |  2    -λ |

3. Calculate the determinant:

det(A - λI) = (1-λ)(-λ) - (1)(2) = -λ^2 + λ - 2

4. Solve the characteristic equation modulo 3 (Z3):

In Z3, we have 0, 1, and 2 as elements. Substitute these values for λ and check which values satisfy the equation:

For λ = 0:
det(A - λI) = -0^2 + 0 - 2 ≡ 1 (mod 3)

For λ = 1:
det(A - λI) = -1^2 + 1 - 2 ≡ 1 - 1 - 2 ≡ -2 ≡ 1 (mod 3)

For λ = 2:
det(A - λI) = -2^2 + 2 - 2 ≡ 4 + 2 - 2 ≡ 4 ≡ 1 (mod 3)

The eigenvalues of the matrix A over Z3 are λ = 0, 1, and 2.

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The first paycheck payment to the independent contractor is $4,615.38

Dr. salaries and wages expense $4,615.38

Cr. salaries and wages payable                     $4,615.38

What is the amount of first  bi-weekly pay to the contractors?

On the basis that there are 52 weeks in a year, hence, there would be 26 bi-weeks in a year, in order to determine the amount of first paycheck payment to the independent contractor, we simply divide the annual cost of contract by 26 bi-weeks in a year.

first paycheck payment =annual contract fees/26 bi-weeks

first paycheck payment =$120,000/26

first paycheck payment =$4,615.38

The paycheck refers to first 2 weeks which ends on on 12th January, whereas the actual payment would occur a week later on 19th of January, as a result, the amount is owed until 19th January, which means that salaries and wages expense would be debited and salaries and wages payable would be credited until actual payment is made on the 19th of January.

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Answer: 2*(2.5 + 4.7 + c)

Step-by-step explanation:

We want to write

"Twice the sum of 2.5, 4.7 and a number c"

First:

"... the sum of 2.5, 4,7 and a number c" is written as:

2.5 + 4.7 + c

And twice "something" is written as:

2*something.

Then:

"Twice the sum of 2.5, 4.7 and a number c"

is:

2*(2.5 + 4.7 + c)

For complementary angles A and B with the measure of m∠A =  6X -15 and m∠B = 5X +6 then m∠A = 39° and m∠B=51°.

As given in the question,

Given relation between angle A and B is :

Both are complementary angles

Measure of m∠A =  6X -15 and m∠B = 5X +6

As per the given condition we have,

m∠A + m∠B = 90°

⇒ ( 6x -15 ) + ( 5x + 6 ) = 90°

Collect the like terms we get,

6x + 5x -15 + 6 = 90°

⇒ 11x -9 = 90°

⇒ 11x = 99°

⇒ x = 9°

Substitute the value of x in m∠A and m∠B

m∠A = 6x -15

        = 6(9) -15

        = 39°

m∠B = 5x +6

        =5(9)+ 6

        = 51°

Therefore, for complementary angles A and B with the measure of m∠A =  6X -15 and m∠B = 5X +6 then m∠A = 39° and m∠B=51°.

The complete question is :

A and B are complementary angles if m∠A =  6X -15 and m∠B = 5X +6    degrees ,then find the measure of A and B?

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The coordinates of the point P along the directed line segment AB are (3, -2).

In this scenario, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 5 to 3.

Mathematically, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have the following;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(5(6) + 3(2))/(5 + 3)],  [(5(1) + 3(7))/(5 + 3)]

P(x, y) = [(30 - 6)/(8)],  [(5 - 21)/8]

P(x, y) = [24/8],  [(-16)/(8)]

P(x, y) = [3, -2]

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Answer:I think it is true

Step-by-step explanation: If you oversteer then it should loose the traction. But I am not sure hope this helps

Answer:

Step-by-step explanation:

I'll leave you to do the labeling. The rectangle defined by 0,0 and 3,7 is the area that you are interested in. The maximum is at x = 3 and y = 7

P = 2*3 + 3*7

P = 6 + 21

P = 27

Step-by-step explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

\( a \cos(b(x + c) ) + d\)

where a is the amplitude

\( \frac{2\pi}{ |b| } \)

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.

Answer:

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Step-by-step explanation:

Answer:

-2x-6

Step-by-step explanation:

-2(×+3)

-2x-2.3

-2x-6

Answer:

\(\huge\boxed{\sf{-2x-6}}\)

Step-by-step explanation:

Hello.

Distributive property: a(b+c)=ab+ac

Where

a, b, and c can be variables or constants

Now that we know this fantastic property, let's simplify our expression:

-2(x+3)

-2x-6

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

The total amount that Latonya will spend is $12.62

The cost of each notebook is $1.99

Latonya needs to purchase 5 notebooks

∴ The cost of 5 notebooks = Cost of each notebook × 5

                                              = $1.99 × 5

∴ The total cost of 5 notebooks = $9.95

The cost of each pen is $0.89

Latonya needs to purchase 3 pens

∴ The cost of 3 pens = Cost of each pen × 3

                                   = $0.89 × 3

∴ The total cost of 3 pens = $2.67

Total amount that Latonya will spend on notebooks and pens = Total cost of 5 notebooks + Total cost of 3 pens

Total amount = $9.95 + $2.67

∴ Total amount = $12.62

Therefore, the total amount that Latonya will spend is $12.62.

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Answer:

I really don't know but good luck

The graph of the inequality y > x² - 9 is given by the image presented at the end of the answer.

The inequality for this problem is given as follows:

y > x² - 9.

For the curve y = x² - 9, we have that:

Due to the > sign, the values greater than the inequality, that is, above the inequality, are shaded.

As the inequality does not have an equal sign, the parabola is dashed.

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The length of the ladder to the nearest tenth of a foot as evaluated by trigonometric ratios is; 12.2ft.

Since the base of the ladder as indicated in the task content is 10 feet away from the bottom of a building's wall, it follows that the set-up in discuss is analogues to a right triangle whose adjacent is 10ft;

Therefore, the length of the ladder which is the hypothenuse can be evaluated as follows;

cos 35° = 10/L

L = 10/cos 35

L = 12.2ft.

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To find the probability that a student chosen randomly from the class passed the test:

The total number of students in class = 29 students.

The no. of students passed the test ⇒ 16+4 = 20 students.

Event A ⇒ a student chosen randomly from the class passed the test

P(A) = Number of students passed / Total students in the class

P(A) = 20/29

P(A) = 0.689 = 68.9%

Answer:

x=17

Step-by-step explanation:

3(x+8) = 7+4x

3x+24 = 7+4x

24 = 7+x

17=x

Answer:

482.5

Step-by-step explanation:

\(1,650*0.05=82.5\\400+82.5=482.5\)

The effect of the  transformation has on the y-intercept is -8.

Suppose a transformation of the parent function f(x)=10^(x) is given as g(x)=10^(x)-8. The effect of the transformation on the y-intercept is -8. What is transformation? Transformation is the way of converting a shape, image, or graph from its original state to a new position, shape, or graph by applying some changes.

A transformation modifies the position, size, or shape of a figure, and it can also make it appear different. What is y-intercept? The y-intercept is the point where the graph of a line or curve intersects the y-axis. The point on the y-axis where a graph crosses it is known as the y-intercept.

How to determine the effect the transformation has on the y-intercept? The transformation of the parent function f(x) = 10x to g(x) = 10x - 8 can be done by applying the following steps :To begin, we must determine the y-intercept of f(x) = 10x. For x = 0, we have: f(0) = 10^0 = 1

Thus, the y-intercept of f(x) is (0,1).Next, let's take a look at the transformation of the parent function. We have g(x) = 10x - 8. If we set x = 0 in this function, we obtain :g(0) = 10^0 - 8= 1 - 8= -7 Therefore, the y-intercept of the transformed function g(x) is (0,-7).Hence, the effect of the transformation has on the y-intercept is -8.

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Answer:

14 is the answer have a nice day

The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.

According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.

In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.

Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.

Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.

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Answer:

10.24

Step-by-step explanation:

128 x .08= 10.24

(the 8 in the equation is moved 2 places to the left because its a percentage)

In the given problem of percentage, 8 is 6.25\(\%\) of 128.

Percentage is a way of expressing a proportion or a relative value as a fraction of 100. It represents a portion or a fraction of a whole in terms of hundredths.

The term "percentage" comes from the Latin word "per centum," which means "per hundred."

The percentage is denoted using the symbol "\(\%\)". For example, 25\(\%\) means 25 out of 100, or 25 hundredths.

When working with percentages, it is often used to compare or represent ratios, proportions, or relative quantities. It provides a convenient way to express fractions or ratios in a standardized form.

Percentages are commonly used in various fields, such as finance, economics, statistics, and everyday situations involving ratios, discounts, interest rates, statistics, and probability. They provide a standardized way to express relative values and make comparisons across different quantities.

\(\frac{8}{128} \times 100\) = \(\frac{25}{4}\)\(\%\)

               = 6.25\(\%\).

So, the percentage of 8 out of 128 is 6.25\(\%\).

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