what are a couple ways to simplify 3(x-5)-4=17

Answer:

Therefore, the mean commission earned by the five salespeople at Southwest Appliances is $24,000.

Step-by-step explanation:

To find the mean (average) commission of the five salespeople at Southwest Appliances, you need to calculate the sum of all the commissions and divide it by the total number of salespeople.

Sum of commissions = $14,000 + $21,000 + $43,000 + $16,000 + $26,000

Sum of commissions = $120,000

Total number of salespeople = 5

Mean commission = Sum of commissions / Total number of salespeople

Mean commission = $120,000 / 5

Mean commission = $24,000

Therefore, the mean commission earned by the five salespeople at Southwest Appliances is $24,000.

9514 1404 393

Answer:

  22.09 ft²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr² . . . . where r is the radius, half the diameter

The slice, at 45°, is 1/8 of the circle, so the area of the slice is ...

  A = (1/8)π(15 ft/2)² = 225π/32 ft² ≈ 22.09 ft²

These scores are used to provide an overall measure of an individual's intelligence and cognitive abilities.

Gregory most likely took an intelligence test, specifically the Wechsler Adult Intelligence Scale (WAIS). The WAIS is designed to measure an individual's cognitive abilities and is commonly used in psychological assessments. It consists of a full scale or total score, which is a combination of the verbal score and the performance score. The verbal score measures an individual's language and communication skills, while the performance score measures an individual's ability to solve problems and complete tasks. These scores are used to provide an overall measure of an individual's intelligence and cognitive abilities.

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Given:

Thus, the answer of 4/5 divided by 1/10 is 8.

Step-by-step explanation:

since the height from M (line MB) to the baseline is splitting the baseline into 2 identical halves, the triangle must be an isoceles triangle (both legs are identical long).

and therefore,

5x - 5 = 3x + 1

2x - 5 = 1

2x = 6

x = 6/2 = 3

A vendor is selling championship t-shirts for $33.00. After a day, sales were so good, they raised  the selling price by 25%. The amount of percent increase on the t-shirts is $41.25

The selling price is the price at which a good is being sold to a customer.

Given that:

The amount of the percent increase on the t-shirts after a day can be estimated as:

\(\mathbf{= \dfrac{25}{100}\times \$33.00}\)

= $8.25

Now, after a day, the vendor sold the cloth at the rate of:

= $33.00 + $8.25

= $41.25

Therefore, we can conclude that after a day, the t-shirts is being sold for $41.25 after raising the percentage by 25%.

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\(\\ \sf\longmapsto tan(270+\theta)=1-\dfrac{sin\theta}{cos\theta}\)

\(\\ \sf\longmapsto \dfrac{sin(270+\theta)}{cos(270+\theta)}=1-\dfrac{sin\theta}{cos\theta}\)

\(\\ \sf\longmapsto \dfrac{-cos\theta}{sin\theta}=1-\dfrac{sin\theta}{cos\theta}\)

\(\\ \sf\longmapsto\dfrac{sin\theta}{cos\theta} \dfrac{-cos\theta}{sin\theta}=1\)

\(\\ \sf\longmapsto \dfrac{sin^2\theta-cos^2\theta}{-cos\theta sin\theta}=1\)

\(\\ \sf\longmapsto \dfrac{-2cos\theta}{-cos\theta sin\theta}\)

\(\\ \sf\longmapsto \dfrac{2}{sin\theta}=1\)

\(\\ \sf\longmapsto 2cosec\theta=1\)

\(\\ \sf\longmapsto cosec\theta=\dfrac{1}{2}\)

\(\\ \sf\longmapsto \theta=cosec^{-1}\left(\dfrac{1}{2}\right)\)

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

A is correct because u have  to minus 18 if u want x to be by its self

b, is incorrect because we have to do the opposite of each operation since it’s addition its inverse is subtraction

c, incorrect cuz it only minuses 18 from one side but u have to minus from both sides

d, incorrect

Answer: look up ma th way upload the photo and it will give you the answer

Step-by-step explanation:

Applying derivative to the formula of area of square and using the provided value of area to calculate the length with the rate of increase of sides, The answer is  \(36 cm^{2}/s\) .

A function's rate of change with respect to a variable in mathematics. Calculus and differential equations problems must be solved using derivatives in order to be successfully solved. A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative.

A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

Required formula is:

\(A = l ^{2}\)

\(\frac{dl}{dt} =3cm/s\)

\(area = l^{2}\)

\(l = \sqrt{36}\)

\(l= 6 cm\)

apply derivative to the area formula we get,

\(\frac{dA}{dt} = 2*l*\frac{dl}{dt}\)

= 2 * 6 *3

=\(36 cm^{2}/s\)

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Answer:

Step-by-step explanation:

5.27=3.40+.85x

1.87=.85x

2.2=x

The probability that the employee will arrive between 8:10 a.m. and 8:15

a.m. is 0.125 or 12.5% when rounded to two decimal places.

The employee can arrive at any time between 8:00 a.m. and 8:40 a.m, and

we are given that each of these times is equally likely.

The total time interval is 40 minutes (from 8:00 a.m. to 8:40 a.m.), and the

interval between 8:10 a.m. and 8:15 a.m. is 5 minutes.

Therefore, the probability that the employee arrives between 8:10 a.m. and

8:15 a.m. is equal to the ratio of the time interval between 8:10 a.m. and

8:15 a.m. to the total time interval between 8:00 a.m. and 8:40 a.m.:

P(arrival between 8:10 a.m. and 8:15 a.m.) = (5 minutes) / (40 minutes) = 1/8

So the probability that the employee will arrive between 8:10 a.m. and 8:15

a.m. is 0.125 or 12.5% when rounded to two decimal places.

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Answer:

The answer is C

Step-by-step explanation

Answer:

it would round up too 27.30

Step-by-step explanation:

Answer:

The intersection of the two intervals = 4, 5, 6,.......+∞ = (4, +∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, +∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, +∞)

Second interval  = (4, +∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

The second interval includes, 4, 5,.....,+∞

Which gives the intersection as 4, 5, 6,.......+∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

If it were a square it would be 17.5meters on every side, but we are not solving for a square we are solving for a rectangle. The dimensions for this rectangle are 19 long 16 wide.

Answer:

304m?

Step-by-step explanation:

Google

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It should be noted that the equation that represents the relationship between the people on the van will be x + y = 144.

It should be noted that an equation is simply used in Mathematics to show the relationship between the variables that are illustrated in the data.

Let the people in the large van be illustrated as x.

Let the people in the small van be illustrated as y.

The total number of people is illustrated as 144.

Therefore, it should be noted that the equation that represents the relationship between the people on the van will be x + y = 144.

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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The sequence of transformations that we should apply is the one that appears on the top left option:

Reflection across the y-axis followed by a rotation of 90° counterclockwise.

We can see that the blue figure is on the third quadrant, and the "spiral" part is pointing upwards.

First, we would want to apply a rotation of 90° clockwise, this will move the blue figure to the second quadrant, and now the "spiral" part will point thowards the right.

Now you can see that the red figure is a reflection along the y-axis of the blue figure, so we need to apply that transformation.

Concluding, the sequence of transformations is:

Notice that this is equivalent to:

Then the correct option is the one in the top left corner.

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The intensity of sound from a concert speaker decreases with distance according to the inverse square law. This law states that the intensity is inversely proportional to the square of the distance.

So, if the intensity at a distance of 1 meter is I1, and the intensity at a distance of d meters is I2, the ratio of the intensities can be calculated using the formula:

(I1/I2) = (d2/d1)^2

Since we want to find the ratio of the intensities, we can substitute the given values:

(I1/I2) = (1/d)^2

Simplifying the equation, we get:

(I1/I2) = 1/d^2

Therefore, the intensity of sound from a concert speaker at a distance of 1 meter is (1/d^2) times greater than the intensity at a distance of d meters.

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The intensity of sound from a concert speaker at a distance of 1 meter is $\left(\frac{1}{x}\right)^2$ times greater than the intensity at a distance of $x$ meters.

The intensity of sound from a concert speaker decreases as the distance from the speaker increases. The relationship between intensity and distance is inversely proportional.

To determine how many times greater the intensity of sound is at a distance of 1 meter compared to the intensity at a distance of $x$ meters, we need to use the inverse square law formula:

$\frac{\text{Intensity1}}{\text{Intensity2}} = \left(\frac{\text{Distance2}}{\text{Distance1}}\right)^2$

Let's assume the intensity at a distance of $x$ meters is $I2$. Plugging in the values into the formula, we get:

$\frac{\text{Intensity1}}{I2} = \left(\frac{1 \text{ meter}}{x \text{ meters}}\right)^2$

Simplifying the equation, we have:

$\text{Intensity1} = I2 \times \left(\frac{1}{x}\right)^2$

This means that the intensity of sound at a distance of 1 meter is $\left(\frac{1}{x}\right)^2$ times greater than the intensity at a distance of $x$ meters.

For example, if $x$ is 3 meters, then the intensity of sound at a distance of 1 meter would be $\left(\frac{1}{3}\right)^2 = \frac{1}{9}$ times greater than the intensity at 3 meters.

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Answer:

C. y = -1/5x

Step-by-step explanation:

y = -1/5 exhibits direct proportionality.  This means that y varies directly as x (for every change in x, y also experiences change), while the "-1/5" represents the constant of proportionality.  Because -1/5 is negative, every increase in x will result in a decrease in y.

The statements that are true from the list of options are x = 7, y = 10 and QM = 38

Given that

This means that

NM = LM

So, we have

7x - 18 = 31

This gives

7x = 49

So, we have

x = 7

Next, we have

QM = PM

So, we have

6x - 4 = 5y - 12

So, we have

6(7) - 4 = 5y - 12

This gives

5y = 50

So, we have

y = 10

Calculating the lengths, we have

QM = 6(7) - 4

QM = 38

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Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation:

Answer:

i think you need to add all that up

Step-by-step explanation:

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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9514 1404 393

Answer:

  y = x² +4x -21

Step-by-step explanation:

In standard form with a leading coefficient of 1, you have ...

  y = x² +bx +c

The coefficient 'b' is the opposite of the sum of the roots: -(3 +(-7)) = 4.

The constant 'c' is the product of the roots: (3)(-7) = -21.

So, the equation is ...

  y = x² +4x -21

Answer:

The answer is C I know that is right

Answer:

More practically, MORE than $150 is wanted so the answer is 3x-x+2=4

Step-by-step explanation:

Any choice of WHOLE NUMBER divisible by 3 will work for x to give a whole number for y, for acceptable points ON the line; but points found ABOVE the line with whole number coordinates would also be acceptable for this INEQUALITY problem. As example, do you understand that x=27, y=11, will work? It is just one of many, many possible solutions.