kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards does he have left?

9514 1404 393

Answer:

  $2,617.50

Step-by-step explanation:

Using this table, the tax is ...

  tax = 2% × $3000 + 3% × (5000 -3000) + 5% × (17000 -5000) + ...

     5.75% × (50,000 -17,000)

  = $60 + 60 + 600 + 1897.50

  tax = $2,617.50

__

Additional comment

Above $17,000, the tax is more easily computed as ...

  tax = (5.75% × income) - 257.50

Each tax bracket can have a simplified formula like this.

Answer: slope

Step-by-step explanation:

In the linear function, f(x) =3x +10 the 3 represents the slope of the line

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer:

54

Step-by-step explanation:

In a stem and leaf plot, the stems are typically increments of ten. Therefore, 5, or 50, is the largest stem. Now, in that row, we have to find the biggest leaf. Luckily for us, in stem and leaf plots, the leaves are organized in a least-to-greatest order. We go down to the end of the row and boom! 4. Put the stem and leaf together and we have 54.

Answer: The volume of the cube is 1/8 cubic inches. 1/8 is 0.125.

The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

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Answer:

-72x - 53y + 287 = 0.

Step-by-step explanation:

To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.

The line mirror equation is given as 4x + 7y + 13 = 0.

The reflection of a point (x, y) in the line mirror can be found using the formula:

x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)

y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)

where A, B, and C are the coefficients of the line mirror equation.

For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.

Now, let's find the equations of the image of the circle.

The original circle equation is x² + y² + 16x - 24y + 183 = 0.

Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':

x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)

= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)

= (x - 8y - 8(4x + 7y + 13)) / 65

= (x - 8y - 32x - 56y - 104) / 65

= (-31x - 64y - 104) / 65

y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)

= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)

= (y - 14x + 8(Ax + By + C)) / 65

= (y - 14x + 8(4x + 7y + 13)) / 65

= (57x + 35y + 104) / 65

Therefore, the equation of the image of the circle is:

(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0

Simplifying the equation, we get:

-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0

-72x - 53y + 287 = 0

So, the equation of the image of the circle is -72x - 53y + 287 = 0.

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

157 degrees

Step-by-step explanation:

the two angles should add up to 180 degrees, so 180 - 23 = 157

answer

smallest 72 and the largest 108

Answer:

Step-by-step explanation:

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

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complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

Answer:  first choice is correct

Step-by-step explanation:

\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)

22/9 = 2.44

Therefore Point A is 22/9, Point B is \(\sqrt{10}\),  Point C is \(\sqrt{13}\)

Answer:

See attachment for drawing

Step-by-step explanation:

Given

\((x -5)^2 + (y + 10)^2 = 6^2\)

Required

Draw and label the circle

The equation of a circle is:

\((x -a)^2 + (y - b)^2 = r^2\)

Where:

\(Center = (a,b)\)

\(Radius = r\)

So, we have:

\(Center = (5,-10)\)

\(Radius = 6\)

See attachment for drawing

The least amount the student must pay is $96

From the question, we are to determine the least amount that the student must pay

From the given information,

A pack of 4 pens cost $20

and

A pack of 6 files cost $18

Since the student wants to buy an equal number of pens and files

Then,

The least number of each item the student must buy is the LCM of 4 and 6

LCM of 4 and 6 = 12

Thus,

The least number pens the student must buy is 12

and

The least number files the student must buy is 12

∴ The student would have to buy 3 packs of 4 pens and 2 packs of 6 files

3 packs of 4 pens = 3 × $20 = $60

and

2 packs of 6 files = 2 × $18 = $36

The least amount the student must pay = $60 + $36

The least amount the student must pay = $96

Hence, the least amount the student must pay is $96

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The number of people that nare expected to vote in the election is 260,000. people.

Simply put, a fraction is a portion of a whole. Mathematically, the number is represented as a quotient with split numerator and denominator. The numerator and denominator of a simple fraction are both integers. On the other hand, a complex fraction has a fraction in either the numerator or the denominator.

In this situation, the pre-election survey showed that two out of every three eligible voters would cast ballots in the county election and there are 390,000 eligible voters in the county.

The number of people expected to vote will be:

= Fraction of expected voters × Total number of people

= 2/3 × 390000

= 2 × 130000

= 260000

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Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

\(P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715\)

Probability a unit is defective and from manufacturer A:

2% of 43%. So

\(P(A \cap B) = 0.02*0.43 = 0.0086\)

What is the probability that it came from manufacturer A?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015\)

0.5015 = 50.15% probability that it came from manufacturer A.

Answer:

136

Step-by-step explanation:

\(2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136\)

Answer:

2+  x+8  =14

Subtract 2 from both sides of the equation.

x+8  +2−2=14−2

Subtracting 2 from itself leaves 0.

x+8 =14−2

Subtract 2 from 14.

x+8  =12

Square both sides of the equation.

x+8=144

Subtract 8 from both sides of the equation.

x+8−8=144−8

Subtracting 8 from itself leaves 0.

x=144−8

Subtract 8 from 144.

x=136

Step-by-step explanation:

Answer:

x=95

Step-by-step explanation:

They are vertical angles

Answer:

3x + n+6

Step-by-step explanation:

The required expression to represent the situation is; 3n+18

According to the question;

Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.

Hence, 3 times the absolute value is;

Hence, upon evaluation; the expression is; 3n + 18

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Answer: look up triangle perimeter calculator

Step-by-step explanation:

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .

Given, 6 and 1/2 minus 5 and 3/4 .

Solve for:

1. First off, convert both of these mixed number fractions into improper fractions.

6 and 1/2 minus 5 and 3/4

= \(\frac{13}{2} - \frac{23}{4}\)

2. Find a common denominator

Multiply the numerator and denominator of the first fraction both by 2.

= \(\frac{13}{2} - \frac{23}{4}\)

=\(\frac{26}{4} - \frac{23}{4}\)

3. Subtract the fractions.

= \(\frac{26}{4} - \frac{23}{4}\)

= \(\frac{3}{4}\)

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Answer:

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

Given function:

Graph it first (see attached).

Test the graph for symmetry.

We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.

The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.

Answer:

4. no origin symmetry

Step-by-step explanation:

Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.

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

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.

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

Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.

Answer:

B

Step-by-step explanation:

I had the same question

The given function is

Since the angle is 2 theta, then

That means the period is pi instead of pi/2

That means we have 2 cycles from 0 to 2pi

The correct answer is D

Answer:

Step-by-step explanation:

20 tickets were sold to guest and 235 were sold to guest

Got to say what a school

Number of student tickets are 105 and the number of guest tickets are 150.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let x be the number of student tickets and y be the number of guest tickets sold.

The high school drama club earned $855 after selling 255 tickets.

x + y = 255

Given,

Cost of one student ticket = $1

Cost of one guest ticket = $5

x + 5y = 855

Thus we get two linear equations :

x + y = 255

x + 5y = 855

Solving this, we will get the number we need.

Subtracting the first equation from the second one,

4y = 600

y = 600 / 4

y = 150

x = 255 - y

  = 255 - 150

  = 105

Hence the high school drama club sold 105 student tickets and 150 guest tickets.

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Answer:

8%

Step-by-step explanation:

We can start solving the problem by using the formula for compound interest:

A =\(P(1+\frac{R}{n})^{nt}\)

Where A is the final amount, P is the initial principal, R is the interest rate, n is the number of times the interest is compounded in a year, and t is the number of years.

Given that the interest he earns during t = 0.5 to t = 1.5 is 1.0816 times the interest he earns during t = 0 to t = 1. We can use this information to set up an equation as follows:

\(P(1+\frac{R}{4})^{2}\) = \(1.0816*P(1+\frac{R}{4})\)

We can simplify this equation by canceling out the P and the (1+R/4) on the right side:

\((1+\frac{R}{4})\) = 1.0816

We can then solve for R:

\(\frac{R}{4}\)=\(\sqrt{(1.0816)-1}\)

R = \(4(\sqrt{(1.0816)-1)}\)

R ≈ 0.08, is the exact value of R.

So, Mr. Saver's nominal interest rate is 8%.

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

From the question, we are told that a recipe needs 3/4 cup of sugar to make 24 cookies, this can be written as;

3/4 cups of sugar = 24 cookies

To get the amount of sugar needed to make 36 cookies, you will say;

x cups of sugar = 36 cookies

Equate both expressions;

3/4 cups of sugar = 24 cookies

x cups of sugar = 36 cookies

Cross multiply;

24 * x = 3/4 * 36

24x = 108/4

cross multiply;

24x * 4 = 108

96x = 108

x = 108/96

x = 1 12/96

x = 1 1/8

Hence 1 1/8 cups of sugar will be needed to make 36 cookies. Option C is correct

As calculated from the data (1/6)² is the probability of getting 5 of same number on all the dice.

b.)If we will limit the number of winners then we will be able to provide them with large prizes and that also by taking moderate rate from everyone.

Actually, the likelihood of winning is closer to one-third (25/72).

Carnival game organizers want you to believe, like I did, that a game is fair so that you will participate.

The likelihood that you would win a game was just about 1/3, so you probably wouldn't squander your money.

Therefore,

The likelihood of getting five of the same number on all six dice is (1/6)².

Probabilities are mathematical representations of the likelihood that an event will occur or that a statement is true.

Probability can also be expressed using a tree diagram.

The tree diagram makes it easier to organize and see all of the potential outcomes. The tree's branches and ends are its two primary locations. On each branch is written the probability, and the ends hold the results in the end.

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