Rob is a tractor salesman last week his total sales amounted to 38,642.00 and he received 2,704.94 in commission what is his rate of commission

Solution:

we are given that

6 students share 4 bagels equally.

we have been asked to find that

How many pieces does each person get?

Here we will have to use the concept of division. Because we are dividing bagels among the students.

So To get the number of pieces each will get divide 6 by 4.

Number of Pieces for each boys [tex] =\frac{6}{4}=\frac{3}{2}=1\frac{1}{2} \\ [/tex]

Answer: I'm pretty sure it is PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1

Step-by-step explanation:

Answer:

120 Acres

Step-by-step explanation:

We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.

The farmer has 120 acres in total.

We know that the 60% of the farmer crops is equivalent to 72 acres.

Now we want to find the 100%.

Then we write two equations:

100% = X

60% = 72 acres

Now we want to solve this for X.

To do it, we first take the quotient between the two equations:

100%/60% = X/(72 acres)

Now we solve this for X:

(100%/60%)*(72 acres) = X = 120 acres.

The farmer has 120 acres in total.

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The standard deviation of the returns is 21.5 percent.

To calculate the standard deviation of the returns, we need to follow these steps:

Let's perform these steps:

Therefore, the standard deviation of the returns is 21.5 percent.

Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]

Step-by-step explanation:

Since we have given that

Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]

According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.

So, Walking distance from the Empire State Building into Sues Hotel is given by

[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]

Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]

A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation

The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

The given parameters are:

[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{(x,y) = (3,-2)}[/tex]

Recall that:

[tex]\mathbf{f(x, y) = c}[/tex]

Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)

[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]

Evaluate exponents

[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]

Evaluate the products

[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]

[tex]\mathbf{f(3,-2) = 5}[/tex]

Replace 3 and -2, with x and y

[tex]\mathbf{f(x,y) = 5}[/tex]

Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]

Collect like terms

[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]

[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

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The error in the given solution to the quadratic equation y²-y=6 is identified and corrected step by step.

In the given quadratic equation y²-y=6, the mistake in the solution provided is the incorrect manipulation of the equation. To find the correct solution, follow these steps:

Re-write the equation as y² - y - 6 = 0.

Factor the quadratic equation as (y - 3)(y + 2) = 0.

Solve for y by setting each factor to zero: y = 3 or y = -2.

The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.

To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.

Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.

The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.

Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.

When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.

Final answer:

The sum of two consecutive integers being composite is disproved by the example 7 + 8 = 15, which is prime.

Explanation:

Counterexample: The sum of any two consecutive integers being a composite number is disproved by the example: 7 + 8 = 15, which is a prime number and not composite.

Explanation: A composite number is a positive integer that has more than two distinct positive divisors. In the case of 7 + 8 = 15, 15 only has divisors 1 and 15, making it a prime number, not composite.

Understanding Conjectures: Counterexamples are essential in mathematics to disprove conjectures by showing cases where the given rule or statement does not hold true.

Answer:

A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE

Step-by-step explanation:

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Number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.

Given that, a rectangular kitchen floor measures 18 feet by 15 feet.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Area of a rectangular kitchen floor

= 18×15

= 270 square feet

Area covered by a stove

= 3×4

= 12 square feet

Area covered by a refrigerator

= 4×5

= 20 square feet

Area covered by tiles

= 270-(12+20)

= 270-32

= 238 square feet

Therefore, number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.

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