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Write a word problem that can be represented by the expression 5/6 divided by 1/3.

The amount that she needs to sell 15% commission is $2,000.

Given that,

Based on the above information, the calculation is as follows:

15% of x = $3,000

x = $2,000

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Mrs. Jackson needs to sell a total of $20,000 worth of products to earn $3,000 a month with a 15% commission on everything she sells.

Given that,

Mrs. Jackson needs to earn $3,000 a month.

The commission percentage is 15%.

Let us assume the amount be x.

To calculate how much Mrs. Jackson needs to sell to earn $3,000 a month, we can use the formula for commission-based earnings:

Earnings = Commission Rate × Sales

We know that Mrs. Jackson earns a 15% commission on everything she sells, and her goal is to earn $3,000 a month.

Let x be the total sales amount she needs to achieve her goal.

Earnings = 0.15x

According to the problem, she needs to earn $3,000, so we can set up the equation:

0.15x = $3,000

Now, to find x, we need to isolate it on one side of the equation. We can do that by dividing both sides by 0.15:

x = $3,000 / 0.15

x = $20,000

So, Mrs. Jackson needs to sell a total of $20,000 worth of products to earn $3,000 a month with a 15% commission on everything she sells.

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The mean of the frequency distribution is 591.446.

Let the values be 'x' and frequency be 'f'

To find the mean of the frequency distribution use formula,

\(Mean=\frac{Sum of values}{Total number of values}\)

where, sum of the values = ∑fx

Total number of values=∑f

From table,

First find fx,

\(f1x1=624*12=7488\\\\f2x2=541*8=4328\\\\f3x3=606*10=6060\\\\f4x4=577*15=8655\\\\f5x5=586*5=2930\\\\f6x6=610*6=3660\)

Now,

∑fx=\(7488+4328+6060+8655+2930+3660=33121\)

Now , the total number of values,

∑f=\(12+8+10+15+5+6=56\)

Now,

\(Mean=\frac{33121}{56} =591.446\)

Thus, the mean of the frequency distribution is 591.446.

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Answer:

The alternative hypothesis is \(H_1: \mu_M - \mu_W \neq 0\), considering M for men and W for women.

Step-by-step explanation:

He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women.

At the null hypothesis, we test if there is not difference, that is, the difference of the mean is 0, so:

\(H_0: \mu_M - \mu_W = 0\)

At the alternative hypothesis, we test if there is a difference, that is, the difference of the means is different of 0, so:

\(H_1: \mu_M - \mu_W \neq 0\)

Answer:

he total number of people who use at least two facilities is 4 + 45 = 49

Step-by-step explanation:

To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.

The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.

Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

The correct answer is the last option

y =2x² - 3

Step-by-step explanation:

If you plug in the values of x into this equation you will see the y values from the equation tally with the y values in the table

For example,

x = 0=> 2. 0^2 - 3 = 0 -3 = - 3

x = 4 => 2.4² - 3 = 2. 16 - 3 = 32 - 3 = 29

You can try with other x values

Answer:X>=5/2;

Step-by-step explanation:

(6*5/2)+22>7

Answer:

True

Step-by-step explanation:

(6*5/2+22) it gives you the correct amount. You also need to pay attention to the greater then and less than signs so that you don’t get confused.

→ < >

Therefore, this is true

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The answer is addition

Because when we do the sum of the two equations the variable x disappear. And the result is

Answer:

21

Step-by-step explanation:

I believe this because when you add it all together you get 20.77

Answer:

[11.906 ; 12.894]

Step-by-step explanation:

Given :

Sample mean, xbar = 12.4

Sample standard deviation, s = 1.7

Sample size, n = 48

We use the T distribution since we are using the sample standard deviation;

α - level = 95% ; df = n - 1 = 48 - 1 = 47

Tcritical = T(1 - α/2), 47 = 2.012

Using the confidence interval for one sample mean

Xbar ± Tcritical * s/√n

12.4 ± (2.012 * 1.7/√48)

12.4 ± 0.4936922

C. I = [11.906 ; 12.894]

Answer: An acute angle

Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.

9514 1404 393

Answer:

  $8494.66

Step-by-step explanation:

The total taxes due is the sum of the tax due in each bracket.

  $10,000 × 10% + ($40,000 -10,000) × 12% + ($57,703 -40,000) × 22%

  = $1000 + 3600 +3894.66 = $8494.66

The total income tax on $50,000 is $8494.66.

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.

Step-by-step explanation:

The equation is :

f(x) = 2x2 + x2

The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.

Answer:

option 1 not function....

The table of values is not a function

x = { 1 , 2 , 2 , 3 } and y = { 3 , 4 , 5 , 9 }

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the x values of the function be represented as

x = { 1 , 2 , 2 , 3 }

Now , the y values of the function is

y = { 3 , 4 , 5 , 9 }

From the table , we can see that for values of x = 2 and 2 there are range of values of y from 4 and 5

No two same values of ranges have the same domain

Therefore , it is not a function

Hence , the table is not a function

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The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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Answer:

ved tiwari and komore in the u.s. department for Drawing of 6:4:1.komal in the u.s. department for the u.s. department for health

Answer: the total  price change in stock is fall of 3.2 points or -3.2 points.

Step-by-step explanation:

In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .

Given: A stock price rose 2.2 points in  Week 1.

i.e. +2.2 points rise.

The stock price fell 5.4  points in Week 2.

i.e. fall of -5.4.   (Much greater, than it rose)

The equation to represent the total  price change in stock would be

Total  price change = price rose in  Week 1 +  price fell  in Week 2.

= [+2.2 + (-5.4)] points

= 2.2 - 5.4 points   [ (+)(-) = (-)]

= -3.2 points

Hence, the total  price change in stock is fall of 3.2 points.

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

(3, -2) is the correct choice.

Therefore, (f o h) (x) = 32 - 10x as an expression in terms of x.

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. In other words, the cube root of a number is the value that, when cubed (raised to the power of three), gives the original number.

For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27. Similarly, the cube root of 64 is 4, because 4 x 4 x 4 = 64.

The symbol for cube root is ∛. So, \(\sqrt[3]{27}\)= 3 and \(\sqrt[3]{64}\) = 4.

by the question.

To find (foh)(x), we need to substitute H(x) into f(x) in place of x:

\((f o H) (x) = f(H(x)) = 2(H(x))^2 + 8\)

Substituting H(x) into the expression for H(x), we get:

\((f o H)(x) = 2(cube root 12-5x)^2 + 8\)

Simplifying:

\((f o H)(x) = 2(12-5x) + 8\)

\((f o H) (x) = 32 - 10x\)

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Answer:

\(\angle 7=151\textdegree\)

Step-by-step explanation:

Note that ∠7 is the vertical angle to 151°.

Recall that vertical angles are congruent and thus have equivalent measures.

Hence, ∠7 is also 151°.

In conclusion, the measure of ∠7 is 151°.

Answer:

151°

Step-by-step explanation:

Angle 7 and the Angle that measures 151° are congruent and vertical angles.

This means they will be equal to the same angle measure.

Angle 7 = 151°

Best of Luck!

The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.

The most recent month's raw resources supply operations for Fairfield Business are listed here:

Beginning raw materials $ 20,000

Purchases of raw materials 90,000

Raw materials issued

Materials requisition 1445 25,000 For Job 101

Materials requisition 1446 35,000 For Job 102

Request for Materials 1447 30,000 used for a variety of jobs

The direct material cost is given as,

The direct raw materials used are the sum of the Materials requisition 1445 For Job 101 and Materials requisition 1446 For Job 102.

Direct raw materials used = $25,000 + $35,000

Direct raw materials used = $60,000

The indirect material cost is given as,

Amount to add to the Manufacturing Overhead account = Indirect materials used = $30,000

The ending balance is given as,

Ending raw materials balance = Beginning raw materials + Purchases of raw materials - Direct raw materials used - Indirect materials used = $20,000 + $90,000 - $60,00 - $30,000 = $20,000

The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.

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Answer:90

Step-by-step explanation:

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

7 flowers

Step-by-step explanation:divide 7 from each and you'll gat your answer

The system has the following solution: \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals can be used to represent the answer.

A statement in mathematics demonstrating the equality of two expressions is called an equation. Two phrases with the same value are normally separated by the equals sign (=). Finding the area of a circle and predicting planetary motion are only two examples of the many practical issues that equations are used to address.

The linear system's augmented matrix, which is determined by the matrix equation A x = b is given by:

Aequals

\(\left[\begin{array}{ccc}1&-3&4\\2&-3&2\\-3&3&4\\-7&15&-4\end{array}\right]\)

Part 2:

Aequals

Write the system's solution as a vector after solving it.

We can use Gaussian Elimination to solve this system.

Step 1:

\(\left[\begin{array}{ccc}1&1&0\\2&-1&1\\-3&0&1\\-7&8&3\end{array}\right]\)

Step 2:

Aequals

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\3&1&0\\-4&3&1\end{array}\right]\)

The system's solution is \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals represents the answer.

The matrix is,

\(\left[\begin{array}{ccc}-4\\3\\1\end{array}\right]\)

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From the given triangles, it can observed that

From the options provided, the answer

∠N ≅ ∠Q, ∠O ≅ ∠R, ∠NPO ≅ ∠QPR

NO ≅ QR, OP ≅ RP, PN ≅ PQ

The last option

Answer:

110°

Step-by-step explanation:

\(m\angle C=40^{\circ}\) (opposite angles of a parallelogram are congruent)

[texm\angle ABC=140^{\circ}\) (adjacent angles of a parallelogram are supplementary)

\(m\angle EBC=70^{\circ}\) (angle bisector)

\(m\angle BED=110^{\circ}\) (exterior angle theorem)