You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.

After dividing 451 by 51, we get a quotient of 008 and a remainder of 43.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The other operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.

It's not necessary for this number to be an integer.

For instance, if 20 apples are distributed equally among 4 persons, each person will get 5 of them.

So, we have 451/51.

Now calculate as follows:

451/51

Quotient = 008

Remainder = 43

(Refer to the image attached below)

Therefore, after dividing 451 by 51, we get a quotient of 008 and a remainder of 43.

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The total cost of the Television is $ 1201.68.

The governments collect a consumption tax known as a sales tax on purchasing goods and services. It is always expressed as a percentage of the Purchase cost of goods and services. Here

Here we have

Alexandra bought a television set for $ 1105 in Newyork  

The rate of sales tax = 8.75%

Therefore,

The total cost of Television = Cost of Television + sales tax  

As we know sales tax = 8.75%

=> tax on Television = 8.75% of 1105  

= [tex]\frac{8.75}{100} \times 1105[/tex]

= 0.0875 × 1105

= 96.68

The total cost of Television = 1105 + 96.68

= 1201.68

Therefore,

The total cost of the Television is $ 1201.68.

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Based on the table and equation given:Gymnastics is less expensive when the classes is 1.Ice-skating is less expensive when the classes is 3 or 4.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.

Ice-skating is less expensive when the classes is 3 or 4.

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Answer: 3(x-1)

Step-by-step explanation:

3 (x-1)

There are total amount of 108 quarters and 18 dimes in a jar.

Total refers to a whole or full amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.

There are six times more quarters than dimes in a jar of coins.

If x represents the dimes, then the number of quarters will be 6*x if there are 28.80 in total.

A dime is worth 10 cents. In terms of money, we have 10 times as many dime.

A quarter is equal to 25 cents. We have 6 times as many quarters, which is 150 times (6 x 25).

10x +150x = 28.80

160x = 28.80

x = 0.18 that is for coins it will be 10x

10*0.18

18 dimes

similarly

6 times dimes is equal to quarters that is 6*18

108 quarters are there.

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Answer: 99 is your answer bro

Step-by-step explanation:

Answer:

[tex]\frac{3m^{2}n-2-40nm }{6m}[/tex]

Step-by-step explanation:

Answer:

1) No correlation

2) Weak positive correlation

3) Strong negative correlation

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You said fast so no explanation

Answer:

4

Step-by-step explanation:

Answer:

For this question, you would have to subtract

1.679-1.439 = 0.24   Melvin pays 0.24 cents less. (not that much honestly lol!!)

Answer:

8

Step-by-step explanation:

8x + 9 = 73 becauss ir is a square

8x = 64

x = 8

Answer:

Step-by-step explanation:

In square QRST, ST = 8x + 9 and QR = 73, what is x?

in the attached figure you can see that the measurement of ST and QR are the same, it is a square, therefore 4 equal sides, we can solve with an equation

8x + 9 = 73

8x = 73 - 9

8x = 64

x = 64 : 8

x = 8 units  (your answer)

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

check

8 x 8 + 9 = 73

64 + 9 = 73

73 = 73

the answer is good

The equivalent equation is when n is equal to 4.

        axc = bxc.

Here given equation,

7n = 28

Multiply both sides of equation by 1/7

7n x 1/7 = 28 x 1/7

7n / 7 = 28 / 7

n = 28 / 7

n = 4

So the equation equivalent to 7n = 28 is n = 4.

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The labeling and the graph are shown in the attached image.

The equals sign is used in equations to indicate the equality of two expressions in a formula. Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

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Answer:

x>−4

Step-by-step explanation:

−8<x−4

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

x−4>−8

Add 4 to both sides.

x>−8+4

Add −8 and 4 to get −4.

x>−4

LN = 4 units, the numerical length of \overline{LN}.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

M being on LN, then

LN equals LM plus MN, therefore

4x = 3 + x ( remove x from both sides ) ( subtract x from both sides )

3x Equals 3 ( divide both sides by 3 ) ( divide both sides by 3 )

x = 1

Then

LN = 3 + x = 3 + 1 = 4

Hence, LN = 4 units, the numerical length of \overline{LN}.

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The least number of point the team could have scored is the LCM of the factors given = 60.

Factor 1 = 3

Factor 2 = 4

Factor 3 = 5

therefore, LCM  

= 4 * 5 * 3   [because they don't have any factors in common]

= 60

The positive integers that can divide a number evenly are referred to as factors. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied.

Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.

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Answer:

∠EGC

Step-by-step explanation:

Just like for the other problem, you're looking for an angle that's opposite the one you're given and is the same size as the one you're given (meaning they're congruent). If you use you hands to cover the parts of the line AD, you can see how ∠FGB and ∠EGC are opposite of each other and are congruent..

A technique called simple random sampling involves choosing a random group of individuals from a predetermined population.

A selection of participants from a population is chosen at random by the researcher using simple random sampling, a sort of probability sampling.

Every person in the population has the same chance of being chosen.

Then, data are gathered from as much of this randomly selected subgroup as possible.

A straightforward random sample, where each participant has an equal chance of being selected, selects a small, random portion of the entire population to represent the entire data set.

Using techniques like lotteries or random draws, researchers can generate a straightforward random sample.

Therefore, a technique called simple random sampling involves choosing a random group of individuals from a predetermined population.

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Answer:

Below

Step-by-step explanation:

(3y + 2l )z + (4y + 5l) p = 38y+37 l     <=======given   ( y = eyes , l = legs)

z 2l + p5l = 37 l       <===separating out the' l ' part

2z + 5p = 37

3y z + 4y p = 38y     <====== taking out the 'y' part

3z  + 4 p = 38     Solve the two underlined simultaneous equations

                  multiply first one by - 1.5   then add to second one to get:

-3z -7.5p = - 55.5   <=====  solve for p

     -3.5 p = - 17.5

           p = 5     then   z = 6

h(x) has the following formula: 9/2 cos[4/3 (x+/2)] + 1/2

Trigonometry is a discipline of mathematics that examines certain functions of angles and how to use them in computations. There are six frequent uses for an angle in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant.

The graph is sent as

Two point (-π/2 , 5) , (π/4 , -4)

amplitude is A = 9/2

Period  = π + π/2 = 3π/2

B = 2π/3π/2 = 4/3

Phase shift = - π/2  (π/2 to left)

midpoint y= 0.5

equation of cosine will be

9/2 cos[ 4/3 (x+π/2) ] + 1/2

Therefore h(x) = 9/2 cos[ 4/3 (x+π/2) ] + 1/2

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It is possible that someone else collecting a different sample from the same population and measuring the same variable would calculate the same sample statistic, but it is not guaranteed.

Statistical measures that are derived from samples of data rather than the complete population are called sample statistics. A population parameter, such the mean or standard deviation, is estimated using this method. Depending on the type of data and the research issue being examined, sample statistics can be estimated using a variety of formulae and techniques. For instance, to get the sample mean, multiply the sum of all the observations in the sample by the total number of observations. The sample standard deviation is calculated by taking the square root of the sum of the squared differences between each observation and the sample mean. In research studies and surveys, sample statistics are frequently utilized to draw conclusions about the population.

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answer:

see explanation.

step-by-step explanation:

for all the x values, subtract 1 and for all y values, subtract 3. the end result should be more left and more down than the original shape. hope that helps!

Answer:

t-(-1,-3)     y-(-4,1)    m-(-4,-3)   q-(-3,-3)

Step-by-step explanation:

becuaes you subtrace on on each xvariable and you subtracte 3 on every y varibale

Answer:7

Step-by-step explanation:

Answer: A

Step-by-step explanation: its ironic that i just had a quiz with this question on it but i got a 95 and i got to see the answers i got wrong and i got this one right.

Answer:

m∠1 = (180 - 110)° = 70°

m∠2 = (180 - 115)° = 65°

m∠3 = 115°

m∠4 = m∠2 = 65°

m∠5 = (180 - (65 + m∠1))° = 45°

m∠6 = m∠5 = 45°

m∠7 = m∠6 = 45°

Answer:

27

Step-by-step explanation:

There are 27 oranges :)

Answer: 27 oranges.

Step-by-step explanation:

5 * 5 = 2020 divided by 1 = 20 If there are 5 apples with an apple: orange ratio of 4.6 there are 27 oranges.