calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)

A. 46.3

B. 50.4

C. 50.5

D. 55.0

Answer:

Edison will be paid $15,112 for the first three months.

Step-by-step explanation:

We know that Edison receives an annual fixed pay of $45,448. Therefore, his fixed pay for each month will be [tex]\frac{45448}{12}=\$3787.33[/tex]

Therefore, his fixed pay for the 3 months will be [tex]3787.33*3=\$11362[/tex].

Now let us compute the commission that Edison received. For that we will compute the 15% of the total sales for those 3 months. Total sales for the 3 months is $25000. Therefore, his commission would be [tex]0.15*25000=\$3750[/tex]

Therefore, total pay that Edison received during first 3 months would be:

[tex]11362+3750=\$15,112[/tex]

Edison will be paid $48,862 for the first 3 months.

To calculate Edison's total payment for the first 3 months, we need to consider both his annual pay and the commission he earns from his sales.

First, let's calculate the commission Edison earns from his sales. He makes sales of $250,000 in the first 3 months, and the commission rate is 15% of the total sales. The commission can be calculated as:

[tex]\[ \text{Commission} = \text{Total Sales} \times \text{Commission Rate} \] \[ \text{Commission} = \$250,000 \times 0.15 \] \[ \text{Commission} = \$37,500 \][/tex]

Next, we need to calculate Edison's base salary for 3 months. Since his annual pay is $45,448, we divide this by 4 to get the quarterly pay (as there are 4 quarters in a year):

[tex]\[ \text{Quarterly Pay} = \frac{\text{Annual Pay}}{4} \] \[ \text{Quarterly Pay} = \frac{\$45,448}{4} \] \[ \text{Quarterly Pay} = \$11,362 \][/tex]

Now, we add the quarterly pay to the commission to find the total payment for the first 3 months:

[tex]\[ \text{Total Payment for 3 Months} = \text{Quarterly Pay} + \text{Commission} \] \[ \text{Total Payment for 3 Months} = \$11,362 + \$37,500 \] \[ \text{Total Payment for 3 Months} = \$48,862 \][/tex]

Answer:

3/6is not a integer.

Step-by-step explanation:

6/3 integer

6/2 integer

3/6 not a integer

Final answer:

The fraction 3/6 is not an integer because it equals 0.5, which is a fraction and not a whole number.

Explanation:

To determine which of these values is not an integer, we need to perform the division for each fraction:

Therefore, 3/6 is not an integer because when you divide 3 by 6, you get a fractional number rather than a whole number.

I believe it would be x5 considering you must add exponents when you multiply.

Answer:

[tex]x^3\cdot x^2=x^5[/tex]

Step-by-step explanation:

The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:

[tex]2^2\cdot 2^3=2^{5}[/tex]

[tex](4)\cdot (8)=2^{5}[/tex]

[tex]32=32[/tex]

We have obtained the result multiplying individually and applying the rule.

Now, for the [tex]x^3\cdot x^2[/tex] exercise, the result would be obtained by adding 3 and 2. It would be:

[tex]x^3\cdot x^2=x^{3+2}=x^5[/tex]

The solution is [tex]x^5[/tex]

Additive inverse: the additive inverse of a number a is the number that when added to a yields zero.It's also known  as the opposite sign change  and negation. For a real number  it reverses its sign: the opposite to a positive number is negative and the opposite to a negative number is positive

Integer:Any number that is positive negative or nuetral, intergers cannot have decimals or fractions

Negative number: A number that is below zero. For example, -1 or -2 2/3

Positive number: A number that is above 0. For example, 1 or 2 2/3. You can also write a positive number with a + sign infront of it. For example, +1 or +2

good luck

a single die being rolled to a number less or equal to 2

Final answer:

The complement of rolling a number greater than 2 on a single six-sided die is rolling a 2 or less, which has a probability of 1/3.

Explanation:

In the context of a single six-sided die roll, the complement of rolling a number greater than 2 would be rolling a number that is 2 or less, which in this case includes rolling a 1 or a 2. Each face of a fair six-sided die has an equal chance of landing face up, giving us a probability of 1/6 for landing on a specific number. Since there are two outcomes that are 2 or less (1 and 2), we simply add their probabilities to get the complement. Thus, the complement of rolling a number greater than 2 is:

P(rolling a 1 or 2) = P(rolling a 1) + P(rolling a 2)
= 1/6 + 1/6
= 1/3.

Therefore, there is a 1/3 chance of rolling a number that is 2 or less when rolling a single fair six-sided die.

Your answer (C, the line is vertical) is correct

Your line would have to be horizontal. A vertical line yields an undefined slope.

Slope is rise over run. For a horizontal line you would have 0 rise and X amount of run or 0/x. 0 divided by anything = 0

For a vertical line, you would have the opposite, X rise and 0 run or x/0. You cannot divide by 0. It is impossible.

Therefore, your answer is the second option.

Hey there,

Here is your answer:

10/1 = 10

Answer,

C.g-^m -^n

Hope this helps :-)

2 red / 4 blu

just semplify

1 red / 2 blu

so the probability is

1/2

Answer:

The answer is 50% Hope this helps!

the equation will be: 2(v+w)=2z

[tex]9^{\frac{1}{8} }[/tex]x

note that [tex]\sqrt[4]{9}[/tex] = [tex]9^{\frac{1}{4} }[/tex]

and all raised to the power [tex]\frac{1}{2}[/tex] x

multiply [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{2}[/tex] x = [tex]\frac{1}{8}[/tex] x

Answer:

Kenya’s equation has infinitely many solutions

Step-by-step explanation:

we have

[tex]-6(x-2)+3x=-3(x+3)+21[/tex]

Solve for x

Eliminate the parenthesis

[tex]-6x+12+3x=-3x-9+21[/tex]

Group terms that contain the same variable

[tex]-6x+3x+3x=-9+21-12[/tex]

Combine like terms

[tex]0=0[/tex]  ---> is true for any value of x

therefore

Kenya’s equation has infinitely many solutions

Answer:

D

Step-by-step explanation:

It would have to be feet squared, it couldn't just be feet.

To do this you can do (pay) x (hours) to work out how much Johnny makes for example:

8.25 x 29.5 = 243.375$ so the answer is 243.375$

Answer:

The correct answer is B) $243.397

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]-12-a=4a-7\qquad|\text{add 12 to both sides}\\\\-a=4a+5\qquad|\text{subtract 4a from both sides}\\\\-5a=5\qquad|\text{divide both sides by -5}\\\\\boxed{a=-1}[/tex]

a - 47 = more time spent

In this mathematical problem, Abby's time is represented as x and the difference in time between Abby's and Susanna's work can be modeled by the equation x-47=y, where y is the extra time Abby spends. A number line can be used to visualize this problem, but without knowing Abby's time, we cannot determine y.

The subject of this problem is mathematics and it discusses time spent by two individuals on their project. We know that Susanna spends 47 minutes on her project. However, we do not know how much time Abby spends on her project. We could represent the time Abby spends on her project as x.

To visualize the situation, we can draw a number line. Place a point at 47 which represents Susanna's time. Then place another point at x which represents Abby's time.

The difference in time between Susanna and Abby can be represented by the equation x - 47 = y, where y is the number of extra minutes Abby spends working on her project.

Without any additional information on how much time Abby spent on her work, it's impossible to give a specific answer.

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Answer:

17%

Step-by-step explanation:

Final answer:

Ella owns 15% of Fitz Incorporated, and the remaining 85% is shared equally among 5 other shareholders. Thus, each of these shareholders owns an equal share of 17% of the corporation.

Explanation:

The question asks about corporate stock and how it relates to the percentage of ownership in a corporation. Ella owns 15% of Fitz Incorporated, and the remaining 85% is owned equally by 5 other shareholders. To find the percentage each of these shareholders owns, we divide the remaining percentage by the number of shareholders.

The calculation would be:

Subtract the percentage owned by Ella from the total, which is 100% - 15% = 85%.

Divide this remaining percentage (85%) by the number of other shareholders, which is 5.

85% / 5 = 17% ownership for each of the other shareholders.

So, each of the remaining 5 shareholders owns 17% of the corporation.

2c - 5 < -21 - 2c     |add 5 to both sides

2c < -16 - 2c      |add 2c to both sides

4c < -16      |divide both sides by 4

c < -4

yes the answer is 12

                                                       hope it helps

The answer is D or -30

The value of the expression for the given values of the variables is -30.

The given expression is 4a+7b+3a-2b+2a, the values of the variables a=-5 and b=3.

We need to evaluate the expression for the given values of the variables.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Now, put a=-5 and b=3 in the given expression and simplify.

That is, 4a+7b+3a-2b+2a=4(-5)+7(3)+3(-5)-2(3)+2(-5)

=-20+21-15-6-10

=-30

Therefore, the value of the expression for the given values of the variables is -30.

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X

5x1=5

5x2=10

5x3=15

5x4=20

5x5=25

Y

20-2=18

18-2=16

16-2=14

14-2=12

X Is by 5 and Y is subtracting by 2

p(10) is the profit, in dollars, from selling 10 books. Replace every copy of x with 10 and simplify

p(x) = 8x-10

p(10) = 8*10-10 .... every x is replaced with 10

p(10) = 80-10

p(10) = 70

So the profit is $70

For the function p(x) = 8x - 10, the profit for selling 20 books is $150.

Explanation:

In the problem, the function p(x) = 8x - 10 represents the profit, in dollars, for selling 'x' books. When it's stated that p(20) = 150, it means that by substituting the value of 'x' as 20 in the function, we get the value as 150. In terms of the problem, it means that the profit for selling 20 books is $150.

Let's break down the problem step by step.

1. You're given the function p(x) = 8x - 10, which represents the profit, in dollars, for selling x books. In this equation, p(x) is the profit, and \(x\) is the number of books sold.

2. You're asked to evaluate the function at x = 20, which means you want to find p(20). To do this, substitute x = 20 into the function and calculate the result.

  p(20) = 8(20) - 10

3. Perform the calculation:

  p(20) = 160 - 10

4. Complete the subtraction:

  p(20) = 150

So, p(20) = 150, which means that the profit for selling 20 books is $150. This is the interpretation of the statement "p(20) = 150" in terms of the problem.

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The probable question can be: The function p(x) = 8x - 10 shows the profit, in dollars, for selling x books.

p(10) = 70

p(20) = 150

What does p(20) = 150 mean in terms of the problem?

It costs $150 to make 20 books.

It costs $20 to make 150 books.

The profit for selling 150 books is $20.

The profit for selling 20 books is $150.

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Answer: Yes it is possible. Angle DCF is also 50 degrees

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Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.

Answer:

Option A.

Step-by-step explanation:

Machine to fill the balloons with helium will cost = $39.99

Cost of the balloons, helium and ribbons for each bouquet = $2.00

If b balloon bouquets are produced then cost of b balloon bouquets = $2b

Total cost for producing b balloon bouquets = cost of machine + cost of material

                                                                           = $(39.99 + 2b)

Therefore, cost to produce b bouquets will be $2.00b + $39.99

Hence option A is the answer.

[tex]\vee=or\\\\therefore\\\\p:x < -3\ ; q:x > 3\\\\p\vee q\to x < -3\ or\ x > 3[/tex]

[tex]\wedge=and\\\\\Rightarrow=if\ ...,\ then\ ...\\\\\Leftrightarrow=if\ and\ only\ if[/tex]

Answer:

the one with or just got it right

Step-by-step explanation:

1. 1/9

2. 0

3. -9

4. -1

Reasoning: To get the opposite of a number just add a negative sign or take it away. This can be done to all numbers other than 0