Expand 5.7(26-3.82x)

The number of regular employees that got a phone is 39

The number of executive employees that got a phone is 1

Let x represent the number of regular employees

Let y represent the number of executive employees

x + y= 40.......equation 1

50x + 250y= 4000...........equation 2

From equation 1

x= 40-y

Substitute 40-y for x in equation 2

50(40-y) + 250y= 4000

2000- 50y + 250y= 4000

2000 + 2000y= 4000

2000y= 4000-2000

2000y= 2000

y = 1

Substitute 1 for y in equation 1

x + y= 40

x + 1= 40

x= 40-1

x= 39

Hence there are 39 regular employees that got a phone and 1 executive employee that got a phone.

Read more on phones here

https://brainly.com/question/24162492

#SPJ1

The following information, taking into account the union and intersection of the different elements given would be displayed in a Venn Diagram:

A Venn diagram for this information would have three circles, each representing one of the cable subscriptions (Cable Cinema, Cable Box Sets, Cable Sports).

The intersections of the circles would represent the customers who have more than one subscription.

The numbers inside the intersections represent the number of customers with that combination of subscriptions, and the numbers outside the intersections represent the number of customers with only that one subscription.

Read more about Venn Diagrams here":

https://brainly.com/question/2099071

#SPJ1

Any combination of a, b, and c such that a*b*c = 0 is valid and satisfies the equation.

To calculate this, Let u = a, v = b, and w = c. Then, since uvw = 0, we have:

a*b*c = 0

Since the equation is asking us to find a, b, and c that satisfy the equation, this means that any combination of a, b, and c such that a*b*c = 0 is a valid solution.

For example, a = 0, b = 1, and c = 0 is a valid solution as 0*1*0 = 0. Similarly, a = 3, b = -2, and c = 0 is also a valid solution as 3*-2*0 = 0.

Thus, any combination of a, b, and c such that a*b*c = 0 is valid and satisfies the equation.

To learn more about the combination, visit:

brainly.com/question/28042664

#SPJ4

Answer:

300

Step-by-step explanation:

1.5*200 = 300

Cool.

The solution of derivative function is , [tex]\frac{d}{dx} (k(\frac{d}{dx} (t))[/tex] = 0

Given that,

d/dx(k dt/dx) = 0

Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

[tex]\frac{d}{dx} (k(\frac{d}{dx} )t[/tex] = 0      (Equation-1)

Then,

[tex]\frac{d}{dx} (t)[/tex] = 0

The derivative of a function is defined as the instantaneous rate of change of a function at a specific point. The derivative gives the exact slope along the curve at a specific point. The derivative of the function is represented as d y d x , which means the derivative of with respect to the variable .

We can substitute equation-1,

So,

We can write,

[tex]\frac{d}{dx} (k*0)[/tex] = 0

[tex]\frac{d}{dx} (0)[/tex] = 0

0 = 0

Therefore,

The solution of derivative function is , [tex]\frac{d}{dx} (k(\frac{d}{dx} (t))[/tex] = 0

To learn more about Derivative functions visit :

brainly.com/question/30318838

#SPJ4

Answer: 5 and {100, 20, 4, 0.8}

Step-by-step explanation: For the first problem each numbers difference is +5, (-9 + 5 = -4 + 5 = 1 exc.) For the second problem the arithmetic sequence is /5, (100 / 5 = 20 / 5 = 4 exc.)

In order to analyze gender differences in ACT performance, you would calculate the frequency of ACT scores for each gender, as well as the total frequency of ACT scores. So, you would calculate C: frequencies.

This would give you a count of the number of males and females who scored less than 20, 20 up to 25, and 25 and more on the ACT. With this information, you can compare the distribution of ACT scores between males and females, and determine if there are any significant differences in performance between the two groups. This information is commonly represented in a frequency table, which displays the number of observations (or count) for each category of a variable.

You can learn more about accfrequencies at

https://brainly.com/question/27820465

#SPJ4

The level of measurement of the data "restaurant rating (superior, good, average, poor, inferior)" is ordinal.

Ordinal level of measurement refers to data that has a natural order or ranking, but the difference between each category is not necessarily equal. In this case, the restaurant ratings have a clear order, with superior being the highest and inferior being the lowest, but the difference between each category is not specified or quantifiable.

An ordinal scale allows for the ranking or ordering of data but not for mathematical operations such as addition, subtraction, or division. This is because the intervals between categories are not equal and cannot be assumed to be so.

In summary, the restaurant rating data is an example of ordinal level of measurement as it has a clear order or ranking, but the intervals between categories are not equal and cannot be used for mathematical operations.

To know more about level of measurement, here

https://brainly.com/question/20816026

#SPJ4

The formula for the volume of a cone is:

V = (1/3)πr^2 x h

Where V is the volume, π is approximately 3.14, r is the radius, and h is the height of the cone.

We know that the volume of the cone is 102 cm^3 and the radius of the cone is 4.96 cm. So we can substitute these values into the formula:

102 = (1/3)π(4.96)^2 x h

To estimate height of the cone we need to divide both sides of the equation by (1/3)π(4.96)^2.

h = 3.959207...

So, the height of the cone is approximately 3.96 cm.

Step-by-step explanation: Two lines are parallel if and only if their slopes are equal.

The slope of a line can be found by taking the coefficient of the x term in the equation of the line.

m: 11x - 33 has a slope of 11

n: 6x - 6 has a slope of 6

For two lines to be parallel, the slope of line "m" should be equal to the slope of line "n",

so we can set up the equation :

11 = 6x

To find the value of x that makes m || n, we can solve this equation for x:

x = 11/6 = 1.833

So the value of x that makes lines m and n parallel is 1.833.

The Marissa's course average is 85.35%.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Attendance counts for ​5% of the​ grade,.

Quizzes count for ​20% of the​ grade.

Exams count for 60​% of the​ grade.

Final exam counts for ​15% of the grade.

So, Marissa's course average

= 0.05(100%) + 0.20 x 95% + 0.60 x 82% + 0.15 x 81%

= 5+ 19 + 49.2 + 12.15

= 85.35%

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ1

Answer:

x = 6

Step-by-step explanation:

4x = 24

x = 6

Let's check

4(6) = 24

24 = 24

So, x = 6 is the correct answer.

The expression (12x +2)/ 25 = (10x+2)/21 can be simplified so that the value of x= 2.

The concept that will be used here is simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

We were given,  (12x +2)/ 25 = (10x+2)/21

then we can cross multiply as :

252x +42 = 250x +50

Then we collect the like terms as:

252x- 250x   = 50 - 42

2x = 8

x=4

Learn more about expression at:

https://brainly.com/question/723406

#SPJ1

complete question:

simplify the expression and find the value of x?

Answer: 0.068

Step-by-step explanation:

i used a calculator so I think it's right

Answer:

x = 2

Step-by-step explanation:

Given,
x/8 = 3/12
Simplifying the RHS, we get 3/12 = 1/4
x/8=1/4
Multiply 8 on both sides, we get
x*8/8 = 1*8/4
or x = 8/4
=2
∴ x = 2

Yes, each vector in be written as a linear combination of the columns of the matrix a , only if columns of a are linearly independent.

by the above statement , the column of a does not span.

linearly independent

Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0. If there are any non-zero solutions, then the vectors are linearly dependent. If the only solution is x = 0, then they are linearly independent.

non- zero solution

A solution of a set of homogeneous linear equations in which at least one of the variables has a value different from zero.

Learn more about linearly independent here:-

https://brainly.com/question/14351372

#SPJ4

The value of i/S is 0.02.

Therefore the answer is 0.02.

Given the information, we can first find the value of e, using the equation a = l + e, where l/a = 0.20 and a = 100:

e = a - (l/a) * a = 100 - (0.20 * 100) = 100 - 20 = 80

Next, we can find the value of i using the given information i/e = 0.10:

i = i/e * e = 0.10 * 80 = 8

Finally, we can find the value of i/S using the equation i/S = i / (S/a) * a = 8 / (4 * 100) = 8 / 400 = 0.02.

So, the value of i/S is 0.02.

--The question is incomplete, answering to the question below--

"S/a = 4; l/a = 0.20; i/e = 0.10; a = l + e and a = 100. find i/S."

To know more on mathematical operations

https://brainly.com/question/14420338

#SPJ4

The height of the the building is 95.5 feet.

As per the given data:

A building casts a 103-foot shadow.

At the same time, a 32-foot flagpole casts a 34.5-foot shadow.

Diagrams of both the building and flagpole are attached at the end of the solution.

Here we have to determine the height of the building.

From the above figure, in Δ ABC, AB shows the height of the building and BC shows its shadow length. In ΔDEF, DE shows the height of the flagpole and EF shows its shadow length.

In ΔABC

[tex]$ \tan \theta=\frac{A B}{B C} \\[/tex]

[tex]$& \tan \theta=\frac{A B}{103}[/tex]

In ΔDEF

[tex]$& \tan \theta=\frac{D E}{E F} \\[/tex]

[tex]$\tan \theta=\frac{32}{34.5}[/tex]

At the same time, the angle of elevation of the sun is the same at all the places.

Therefore

[tex]$& \tan \theta=\tan \theta \\[/tex]

[tex]$& \frac{A B}{103}=\frac{32}{34.5} \\[/tex]

[tex]$& AB = \frac{32 \times 103}{34.5} \\[/tex]

A B = 95.5 foot

Therefore, the height of the building will be 95.5 feet.

For more questions on heights in trigonometry

https://brainly.com/question/7453947

#SPJ4

Answer:

x = 16

Step-by-step explanation:

the measure of an arc has the same measure as the central angle that intercepts it , that is

3x + 49 = 97 ( subtract 49 from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

I. f(x) = -2x + 2 is graphed at the right.

Answer:

the second one. 2n = -4.

we can easily see that 2*(-2) = 4.

The shaded region is given in the attached image below.

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

Given:

We have a system of inequalities,

-x + 5y ≤ 10,

3x - 4y ≤ 1

and x > -1.

The shaded region is given in the attached image.

Therefore, the shaded region is given.

To learn more about the systems of inequalities;

https://brainly.com/question/19526736

#SPJ1

The new height of a given right triangle is 60 inches.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

E) In the given triangle HGI, HG= 4 cm and GI =7 cm and in triangle H'G'I', H'G'= 6 cm and G'I' =10.5 cm.

Here, the scale factor is HG/H'G'

= 4/6

= 2/3

F) Given that, a scale factor is 0.2

Here, the width of a rectangle is 15 inches

Now, the new width is 15*0.2

= 3 inches

G) Given that, the side of a rectangle R is 5 cm and the side of a rectangle R' is 4 cm.

Now, the scale factor is 5/4

= 1.25

H) Given that, a scale factor is 5

In the right angle triangle height is 12 inches

So, the new height is 12*5

= 60 inches

Therefore, the new height of a given right triangle is 60 inches.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

Answer:

454

Step-by-step explanation:

need 800 in 5 years

x*(1+12%)^5 = 800

so 1.76x=800

x=454

Answer: See the explanation Below

Step-by-step explanation:

The problem with the frequency table in the problem occurs within the "number of pets" column. Instead of recording the numbers 0-5 one time, Katie gave a row for every occurrence of each number. However, this defeats the purpose of having a tally column, which is much more efficient.

A better data table would look like the one I have attached to the problem.

For some additional help:

The tally column is filling in the number of times we see each number in the responses. For instance, 0 is given as an answer 3 times, so in the 0 tally box, you would write 3 tally marks.

The frequency table is found by dividing the number of that specific response by the total number of responses. For 0, we have 3 responses and 13 responses total. 3/13 = 0.23, which becomes the frequency. In the end, the totals for the frequency column should equal 1.

I hope this helps!  

One of Porter's three generic strategies and three of the five forces, such as the function bargaining power of suppliers, the threat of substitutes, and competitive rivalry, can be used to achieve this.

A tool used to find company areas where value can be created or cost savings can be realised is Porter's Value Chain Analysis. This tool can be used by businesses to examine their internal processes and find possible areas of competitive advantage. This can be achieved by identifying the various value chain steps and examining each level to find areas for cost savings. In order to comprehend the competitive environment in which the organisation operates and to pinpoint potential sources of competitive advantage, Porter's 3 Generic Strategies and 5 Forces can also be used. A corporation can find possible areas of competitive advantage by, for instance, examining the Bargaining Power of Suppliers, Threat of Substitutes, and Competitive Rivalry. Using these instruments, a business can create value.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer: The answer is 8x - 5y = -7

Hope this helps! :)

The equation 2 + 3 = 3 + x has an infinite number of solutions.

A value of x that makes the equation true is -1, which when substituted into the equation and simplified makes the equation turn into 2 + 3 = 3 - 1 = 2.

Another value of x that makes the equation true is -4, which when substituted into the equation and simplified makes the equation turn into 2 + 3 = 3 - 4 = -1.

Therefore, the equation 2 + 3 = 3 + x has an infinite number of solutions.

A quadratic equation is a polynomial equation of degree 2, written in the form:

ax^2 + bx + c = 0

where a, b, and c are constants and x is an unknown variable. The equation can be solved to find the values of x that satisfy the equation, known as the roots or solutions. These solutions can be found using methods such as factoring, the quadratic formula, or completing the square.

Quadratic equations are commonly used in mathematics, science, and engineering to model and solve a wide range of real-world problems, such as modeling the trajectory of a projectile or finding the minimum or maximum value of a function.

Learn more about Quadratic Equation here

https://brainly.com/question/30098550

#SPJ1

The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported. Then the correct option is B.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The table is given below.

Kind of juice     Number of bottles sold

                         Monday          Tuesday

Apple                    11                      22

Cranberry              7                       14

Orange                 18                     36

Pineapple              4                       8

Total                      40                    80

The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported. Then the correct option is B.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

The complete question is given below.

A) The number of bottles of cranberry juice sold will be 6 more than the number of bottles of pineapple juice sold.

B) The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold.

C) There will be a total of 50 bottles of orange and cranberry juice sold.

Eliminate

D) The difference between the number of bottles of apple juice sold and the number of bottles of pineapple juice sold will be 14.