1) A system of equations is shown. What is the solution to the system of equations? Show all work. (3 points) 2 + 2 = 17 {4 − = 25

Answers

Answer 1

The value of x for the system of equations will be x=6.7.

What is a system of equations?

A set of simultaneous equations is a finite set of equations for which common solutions are sought in mathematics. It is also known as a system of equations or an equation system.

Given that the two equations are 2x + 2y = 17 and 4x - y = 25. The value of x will be calculated by eliminating the variable y from the equation.

Multiply the second equation by 2 and subtract from the first equation,

2x+2y=17.

8x-2y=50.

10x=67.

x= 67/10

x = 6.7.

Therefore, the value of x for the system of equations will be x=6.7.

\


Related Questions

Craig forgot to record the amount of the check he wrote to the hardware store. The statement from his bank shows an ending balance
of $521.60. What is the amount of the check Craig wrote to the hardware store? Define a variable for the unknown quantity. Write and
solve an equation to answer the question.

Answers

Answer: Let's call the amount of the check Craig wrote to the hardware store "x".

According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.

So, we can write the equation:

$521.60 + x = $521.60

Subtracting $521.60 from both sides:

x = 0

This means that Craig's check was for $0.

Step-by-step explanation:

A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.

How many fluid ounces of milk were used during the class?

Responses

10 fl oz
10 fl oz

23 fl oz
23 fl oz

49 fl oz
49 fl oz

101 fl oz

Answers

Answer:

311 fl oz only were used, that is what I got for your answer..

The answer is 49 fl oz

Which of the following are like terms?

Select 3 correct answer(s)
Question 1 options:

3x2 & 3x4


3x4 & 2x4


3y2 & 3x2


2x2 & 3x2


x2 & y2


2x & 3x


4x2 & 4x

Answers

The like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

What is like terms?

Terms whose variables (such as x or y) with any exponents (such as the 2 in x²) are the same are called like terms,

Examples: 7x and 2x are like terms because they are both "x".

Given are some pairs of expressions, we are asked to identify which are like terms,

We know that, according to the definition of the like terms,

Like terms are those terms which contain the same variable which is raised to the same power,

Therefore, the expressions showing the like terms are,

3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Because, they have same variable with same powers.

Hence, the like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Learn more about like terms, click;

https://brainly.com/question/23325290

#SPJ9

59.05 as a fraction of an hour

Answers

The given decimal in fraction as 1181/20.

What is conversion of decimal number to fraction?

Steps for conversion:

Identify the place value of the digits after the decimal, in the number.Use that to determine what the denominator of the fraction would be.Remove the decimal point. Re-write in the fraction form and simplify itExpress in terms of the lowest equivalent fraction.

The given decimal number is 59.05

Here, multiply 100 to both the numerator and denominator of the decimal, that is

59.05/1 ×100/100

= 5905/100

= 1181/20

Therefore, the fraction is 1181/20.

To learn more about the conversion of decimal number to fraction visit:

https://brainly.com/question/12534948.

#SPJ9

What can be combined with 2x2? Select
all that apply.

Answers

Answer:

its only -11x^2

Step-by-step explanation:

2x^2 and -11x^2 have the same variable.

question shown below

Answers

The equation of the graphed line can be found to be 2x + 2 y = 4

How to find the equation of the line ?

To find the equation of the line, you first need to find the slope which requires picking two points on the line. ( 4, 0 ) and ( 0, 2 )

The slope is:

= Change in y / Change in x

= ( 0 - 2 ) / ( 4 - 0 )

= - 2 / 4

= - 1 / 2

The equation form is:

y = mx + b

m = slope

b = y - intercept which is shown on the line as 2

The equation is:

y = - 1 / 2 x + 2

To put it in the form on the question,

( y = - 1 / 2 x + 2 ) x 2

2 y = - 2 x + 4

2x + 2 y = 4

Find out more on equations at https://brainly.com/question/28732353

#SPJ1

Let t
be the time in weeks. At time t=0
, organic waste is dumped into a pond. The oxygen level in the pond at time t
is given by

f(t)=t2−t+1t2+1
.

Assume f(0)=1
is the normal level of oxygen.
(a) On a separate piece of paper, graph this function.

(b) What will happen to the oxygen level in the lake as time goes on?

The oxygen level will eventually return to its normal level in the long-run.

(c) Approximately how many weeks must pass before the oxygen level returns to 75
% of its normal level?
weeks (Round to at least two decimal places.)

Answers

The graph is plotted and attached

The oxygen level will be increasing as time goes on

In 0.5 weeks the oxygen level will return to 75% of its normal level

What will happen to the oxygen level in the lake as time goes on?

This is the end behavior of the graph, of the function f(t) = t^2 − t + 1, the graph shows that as t tends to infinity. the oxygen level will continue to increase.

The graph is plotted and attached

From the problem. the normal level of oxygen is at f(0) = 1

75% of 1 = 0.75

From the graph, the oxygen level will return to normal level in 1 week(1, 1) and at 0.5 the oxygen level is 0.75, (0.5,0.75). This is the vertex of the graph.

Lear more about quadratic graphs at:

https://brainly.com/question/25841119

#SPJ1

Identify the function of the figure below this is trigonometry by the way

Answers

The graph shown is the graph of the cotangent function.

What is the graph of Cotangent?

The graph of the cotangent function, cot(x), is a periodic function that has a period of 2π. The cotangent function is the reciprocal of the tangent function, so its graph is related to the graph of the tangent function.

Like the tangent function, the cotangent function has singularities at x = (n + 1/2)π where n is an integer. At these points, the function has a vertical asymptote, meaning it approaches positive and negative infinity as x approaches (n + 1/2)π from either side.

Learn more about cotangent:https://brainly.com/question/2263992

#SPJ1

What is the value of a?

[tex]k=\sqrt{f+f}\\f=a^2\\a=?[/tex]

Answers

In  linear equation, √2a² is the value of a .

What are examples of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y).

                                    An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

      k = √f + f

       f = a²

      k = √a² + a²

         = √2a²

Learn more about linear equation

brainly.com/question/29739212

#SPJ1

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

The value of the equation is 4.19p = -6.1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2.3p - 10.1 = 6.5p - 4 - 0.01p

On simplifying , we get

Adding 4 on both sides , we get

2.3p - 6.1p = 6.49p

Subtracting 2.3p on both sides , we get

4.19p = -6.1

Now , the value of the equation similar to 4.19p = -6.1 is 2.3p - 6.1p = 6.49p

Hence , the equation is 4.19p = -6.1

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

Compute the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings. Give your answer accurate to at least eight decimal places. Compute the probability that a five-card poker hand is dealt to you that contains all hearts. Give your answer accurate to at least six decimal places.

Answers

The probability of being dealt a five-card poker hand that contains all hearts is approximately 0.000495, or 0.0495%.

Probability is the measure of the likelihood of an event happening, and it is expressed as a number between 0 and 1. The closer the number is to 0, the less likely the event is to occur, and the closer it is to 1, the more likely it is to occur.

Now, let's look at the first question: what is the probability of drawing six cards from a standard deck of cards and getting four aces and two kings?

So, the number of combinations of six cards from a deck of 52 cards is:

52C6 = 52!/6!(52-6)! = 20,358,520

Next, we need to find out how many ways we can draw four aces and two kings from the deck. There are 4 aces and 4 kings in a standard deck of cards, so the number of ways to draw four aces and two kings is:

4C4 x 4C2 = 1 x 6 = 6

The first factor, 4C4, represents the number of ways to draw all 4 aces, and the second factor, 4C2, represents the number of ways to draw 2 kings from the remaining 4 kings.

Finally, we can calculate the probability of getting four aces and two kings by dividing the number of ways to draw four aces and two kings by the number of combinations of six cards from the deck:

P(four aces and two kings) = 6/20,358,520 = 0.000000294

So, the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings is approximately 0.00000029, or 0.0000294%.

Now, let's move on to the second question: what is the probability that a five-card poker hand is dealt to you that contains all hearts?

In a standard deck of cards, there are 13 hearts and 52 cards in total, so the probability of drawing one heart from the deck is 13/52, or 1/4. The probability of drawing five hearts in a row is the product of the probabilities of drawing each heart, since each card is drawn without replacement:

P(five hearts) = (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.000495

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

95. A basketball team has won 60 games out of 80 played. It has 40 games still to play. How many of these must the team win to make its record for the season 80%?

F) 20
G) 22
H) 25
J) 30
K). none of these

Help 30 points !!!

Answers

Answer:

K. none of these (36 wins needed)

Step-by-step explanation:

1st way

80 + 40 = 120

80% of 120 = 96

96 - 60 = 36

2nd way

80 played + 40 left = 120 total

80% season record times 120 total =

12 times 8 is 96 = 80% win record

60 won 20 lost out of 80 total

120 total - 96 wins = 24 losses

96 wins 24 losses 120 total

96 wins - 60 wins = 36 wins out of 40 total

(15x²+x²+7)-(6x² - 2x³)-7x²

Answers

Answer:

= 3x² + 7 +2x³.

Step-by-step explanation:

Here is my solution to my answer.

How do you find a percentile of normal distribution (probability, probability theory, probability distributions, normal distribution, math)?

Answers

To find the percentile of a normal distribution, first determine the mean, then convert the interested value to a standard score, look-up the normal distribution table to find the area to the left of the normal score. Finally, multiply the area by 100.

Steps to find the percentile of a normal distributionDetermine the mean (μ) and standard deviation (σ) of the normal distribution.Convert the value you are interested in (i.e., the score) to a standard score (z-score) using the formula:

             z = (x - μ) / σ

        where x is the value of interest.

Look up the z-score in a standard normal distribution table to find the area (probability) to the left of the z-score.Multiply the area by 100 to get the percentile.

For example, suppose you want to find the percentile of a test score of 85, which comes from a normal distribution with a mean of 75 and a standard deviation of 10.

The mean (μ) is 75 and the standard deviation (σ) is 10.The z-score for a test score of 85 is:

            z = (85 - 75) / 10 = 1

Using a standard normal distribution table, we can find that the area to the left of a z-score of 1 is 0.8413.To find the percentile, we multiply the area by 100:

           0.8413 * 100 = 84.13

Learn more about percentile here:

https://brainly.com/question/2263719

#SPJ4

Government saving equals
Select one:
a.
taxes less government expenditures.
b.
government purchases of goods and services less taxes.
c.
taxes.
d.
government purchases of goods and services plus transfer payments less taxes.
e.
transfer payments.

Answers

Government saving equals: a. taxes less government expenditures.

What is government expenditure?

Government expenditure  can be defined as those expenses that government has incurred and this occur when government spent on goods and services.

Government saving tend to  equals taxes less government expenditure which is option A was the correct option.

Therefore we can conclude that the correct option is A.

Learn more about government expenditure here:https://brainly.com/question/829961

#SPJ1

f(x) = -3x + 2 f(7) =

Answers

The value of the function is -19.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -3x + 2

Substitute x = 7.

f(7) = -3 x 7 + 2

f(7) = -21 + 2

f(-7) = -19

Thus,

-19 is the value.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ9

What is the volume of this right cone?

O 40 cm³
O 300 cm³
O 400 cm³
O 480 cm³

15.6 cm
12 cm
10 cm

Answers

The volume of the right cone is (c) 400π cm cube

How to determine the volume of the cone

From the question, we have the following parameters that can be used in our computation:

Radius = 10 cm

Height = 12 cm

The volume of the cone is calculated as

Volume = 1/3πr²h

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3π * 10² * 12

Evaluate

Volume = 400π

Hence, the volume is 400π cm cube

Read more about volume at

https://brainly.com/question/1972490

#SPJ1

In 2016 the average NBA ticket for the finals was $1444. In 2017, the price increased by 20%. If this trend continues, what will be the price in 2020? Round to the nearest dollar

Answers

Answer:

Step-by-step explanation:

To find the price of the NBA ticket in 2017, we need to add 20% to the 2016 price:

Price in 2017 = $1444 + 0.20 x $1444 = $1732.80

To find the price of the NBA ticket in 2020, we need to increase the 2017 price by 20%:

Price in 2020 = $1732.80 + 0.20 x $1732.80 = $2079.36

Rounding this to the nearest dollar, we get:

Price in 2020 = $2079

1. Which of the following is not a variable cost?
A. wages paid to labor
B. seeds and fertilizers for paddy farmers
C. rent on land
D. electricity bills

Answers

Answer:

b

Step-by-step explanation:

b seeds snd fertilizer

a cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Answers

The angular speed in radians per minute of the cyclist riding a bike with wheels of diameter 26 inches at a speed of 22 miles per hour is approximately 1124.65 radians per minute.

The formula for the angular speed is:

angular speed = linear speed / radius

where the radius is half the diameter of the wheel. We need to convert the units to be consistent, so let's convert the speed from miles per hour to inches per minute and the diameter from inches to feet:

22 miles per hour = 22 * 5280 feet per hour / 60 minutes per hour

                              ≈ 2437.3 inches per minute

26 inches = 26/12 feet = 2.1667 feet

Now we can calculate the angular speed:

angular speed = 2437.3 / 2.1667 ≈ 1124.65 radians per minute

Your question is incomplete, most likely it was:

A cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Find the angular speed in radians per minute.

Learn more about angular speed here:

https://brainly.com/question/25279049

#SPJ4

Phyllis invested $11,000, a portion earning a simple interest rate of
2 1/2% per year and the rest earning a rate of 2% per year. After one year the total interest earned on these investments was $255.00. How much money did she invest at each rate?

Answers

She invest money at each rate

First = 1000

Second = 10,000

What is simple interest?

Simple interest is a method of calculating the interest charge. The interest can be calculated as the product of principal amount, rate and time peroid.

We are given that Phyllis invested $11,000, a portion earning a simple interest rate of 2 1/2% per year and the rest earning a rate of 2% per year.

Given the following :

Amount invested = $11,000

A portion earns 2 and 1/2 % interest per year

The rest earns a rate of 2% per year

The Total Interst earned after a year = $255

Amount invested at each rate;

Let amount invested at 2 1/2% = a

Amount invested at 2% is; 11,000 - a

Simple interest = principal x rate x time

First investment :

a x 5/2% x  1

Second :

(11000 - a) x 2%

Firat investment + second = $225

a x 0.025 + (11000 - a) x 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ9

Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-8-7-6-5-4-3-2
298 165 +3
12
11
10
2
3
-8
-9
-10
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12

Answers

An equation of the line in fully simplified slope-intercept form is y = -13x - 22.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y are the points.

At data points (-2, 4), a linear equation of this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 4 = (10 - (-3))/(-3 - (-2))(x - (-2))

y - 4 = -13(x + 2)

y = -13x - 26 + 4

y = -13x - 22

Read more on slope here: brainly.com/question/16897180

#SPJ1

Stacy says there is not enough information to prove that ACXBCX. Explain why​ Stacy's statement is incorrect.

Answers

Stacy's statement is incorrect because Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

Reflexive Property of Congruence:

An angle, line segment, or shape is always congruent to itself, according to the reflexive characteristic of congruence in geometry.Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence. Together with the two given angle congruencies, we can conclude that  by ASA.

Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

Learn more about Reflexive Property of Congruence at:
https://brainly.com/question/8741371

#SPJ1

Solve the inequalities

Answers

Answer:

m ≥ 6

Step-by-step explanation:

The question asks us to solve the following inequality:

[tex]8m - 8 \geq 40[/tex].

To solve it, we need to make m the subject of the inequality:

[tex]8m - 8 \geq 40[/tex]

⇒ [tex]8m - 8 + 8 \geq 40 + 8[/tex]          [Adding 8 to both sides of inequality]

⇒ [tex]8m \geq 48[/tex]

⇒ [tex]\frac{8}{8}m \geq \frac{48}{8}[/tex]              [Dividing both sides of inequality by 8]

⇒ [tex]m \geq \bf 6[/tex]

Therefore, the solution to the inequality is m ≥ 6.

in a scientific study there are 10 guinea pigs,4 of which are pregnant. if are selected at random without replacement, find the probability that all are pregnant. enter your answer as a fraction or a decimal rounded to decimal places.

Answers

The probability that all the guinea pigs selected randomly are pregnant is 1/30 or 0.033

Given, we have 10 guinea pigs out of which 4 are pregnant. We know that probability of an event ⇒ P(E) = (No of favorable outcomes)/(No of all outcomes) . So, The probability of selecting pigs that are pregnant is :

⇒ 4/10

Now, 3 selections are made randomly. The probability that the 1st selected guinea pig will be pregnant = 4/10

The probability that the 2nd selected guinea pig will be pregnant = 3/9

The probability that the 3rd selected guinea pig will be pregnant = 2/8

Therefore, the probability of all the 3 selected guinea pigs being pregnant will be :

⇒  (4/10) x (3/9) x (2/8)

⇒ 1/30

Therefore, The probability of all the selections of pigs being pregnant without replacement rounded to 3 decimal places is 0.033 or 1/30

Learn more about probability here,

https://brainly.com/question/11234923

#SPJ4

The complete question will be :

In a scientific study there are 10 guinea pigs,4 of which are pregnant. if 3are selected at random without replacement, find the probability that all are pregnant. enter your answer as a fraction or a decimal rounded to 3 decimal places.

Benjamin considers purchasing a car for $35,000. He has been approved for a 6-
year loan for $30,000 with an interest rate of 5.25%. He also has the option to lease the car for $600 per month for 6 years with a $2,500 down payment.

Using the loan amortization formula, how much money does Benjamin save over the 6 years if he purchases the car? Do not consider the future value of the car in your answer.

Answers

Answer: Benjamin would save $11,720.48 over 6 years if he purchases the car instead of leasing it.

Step-by-step explanation:

To calculate the cost of the car if Benjamin purchases it, we can use the loan amortization formula. The formula for calculating the monthly payment of a loan is:

P = (r * A) / (1 - (1 + r)^(-n))

Where:

P = the monthly payment

r = the monthly interest rate (which is the annual interest rate divided by 12)

A = the loan amount

n = the total number of payments

For Benjamin's loan, the loan amount is $30,000, the interest rate is 5.25%, and the loan is for 6 years, or 72 months. Plugging these values into the formula, we get:

r = 0.0525 / 12 = 0.004375

A = $30,000

n = 72

P = (0.004375 * $30,000) / (1 - (1 + 0.004375)^(-72)) = $484.64

Therefore, Benjamin's monthly payment for the car loan is $484.64.

If Benjamin chooses to lease the car instead, he will pay $600 per month for 72 months, plus a $2,500 down payment. Therefore, the total cost of leasing the car is:

Total cost = ($600 * 72) + $2,500 = $45,700

To calculate how much money Benjamin saves by purchasing the car instead of leasing it, we can subtract the total cost of the car loan from the total cost of the lease:

Savings = Total cost of lease - Total cost of car loan

Savings = $45,700 - ($484.64 * 72)

Savings = $11,720.48

A group of friends’ dinner bill is $82.95 They want to leave a 15% tip. What is their total dinner bill, including tip?

Answers

The total dinner cost, including the tip, comes at $92.40.

What is the percentage of a number explained?The definition of percentage is "out of 100." In mathematics, percentages are used to represent parts of a whole, much as fractions and decimals.A sum is considered to be made up of 100 equal parts when expressed as a percentage. Use the symbol% to denote percentages in numbers.

A lunch for a few friends will set you back $82.95

They want to leave a 15% tip.

So,

Amount of tip:

15 % of 82.95 = 15*82.95 / 100

15 % of 82.95 = 12.4425

Total cost =  82.95 + 12.4425

Total cost =  95.3925

Total cost =  $92.40

Thus, the total dinner cost, including the tip, comes at $92.40.

To know more about the percentage of the number, here

brainly.com/question/24877689

#SPJ1

14. Cheyenne took a train to visit her aunt. The train traveled at a constant speed of 60 miles per hour. Complete the table, and then write an equation to find the total distance, d, traveled after t hours.​

Answers

The equation to find the total distance would be 60t.

What is total distance?

Whole distance refers to the actual distance between the origin and destination locations of the substance.

The distance traveled is equal to the speed multiplied by the time traveled, which gives the formula:

d = 60t

where d is the total distance traveled in miles, and t is the time traveled in hours.

Therefore, The equation to find the total distance would be 60t.

The table is below:

To know more about total distance visit,

https://brainly.com/question/27561284

#SPJ1

Determine whether the set S spans R3. If the set does not span R3, then give a geometric description of the subspace that it does span.
S = {(1, −2, 0), (0, 0, 1), (−1, 2, 0)}

Answers

The set S spans R₃ if and only if for any vector (a, b, c) in R₃, there exist scalars x, y, and z such that z is not zero and z/2 is nonzero. This is true for all vectors in R₃, so we conclude that S spans R₃.

To determine if the set S spans R₃, we need to see if any vector in R₃ can be written as a linear combination of the vectors in S.

Let (a, b, c) be an arbitrary vector in R₃. Then we want to see if there exist scalars x, y, and z such that:

x(1, -2, 0) + y(0, 0, 1) + z(-1, 2, 0) = (a, b, c)

This is equivalent to the system of equations:

x - z = a

-2x + 2z = b

y = c

Solving for x, y, and z, we get:

x = (a - z)/2

y = c

z = (b + 2x)/2 = (b + a - z)/2

Substituting these values into the equation for the linear combination, we get:

[(a - z)/2](1, -2, 0) + c(0, 0, 1) + [(b + a - z)/2](-1, 2, 0)

= ((a - z)/2 - (b + a - z)/2, -2(a - z)/2 + 2(b + a - z)/2, 0)

= (-b/2, (3a - b)/2, z/2)

Geometrically, the set S consists of two nonparallel vectors and a vector orthogonal to the xy-plane. Thus, the subspace spanned by S is a plane in R₃ passing through the origin.

Learn more about sets here: brainly.com/question/13458417

#SPJ4

By conversion of the markup formula, solve the following.

Note: Round your answer to the nearest whole percent.

Percent markup on cost: ?
Percent markup on selling price: 25%

Answers

Markup on cost price is 75%

Percent markup on selling price: 25%

Percent markup on cost: ?

Markup is the total profit on a particular commodity or service. It is represented as a percentage over a cost price.

Percent markup on selling price is 25% which means that a product is sold out with 25% profit,

Percent markup on cost price =100-markup on selling price

                                                  = 100-25

                                                  =75

Hence, markup on cost price is 75%

The value of Percent markup on cost nearest to the whole number is,

⇒ 75%.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The value of Percent markup on selling price is,

⇒ 25%

Hence, The value of Percent markup on cost is,

⇒ 100% - selling price

⇒ 100% - 25%

⇒ 75%

Thus, We get;

The value of Percent markup on cost is,

⇒ 75%

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ9

Other Questions
Sound is emitted by a point source. You wish to compare the sound intensity and sound intensity level from this source at two different sites. If the distance to the second site is a factor of 8 greater than the distance to the first, determine the following.(a) Determine the multiplicative factor by which the sound intensity decreases as you go from the first to the second site. (Assume the intensities at the first and second sites are I1 and I2, respectively.)I1I2= The answer to this one is 64.(b) Determine the additive amount by which the sound level intensity decreases as you go from the first to the second site. (Assume the sound level intensities at the first and second sites are ?1 and ?2, respectively.) How is sound intensity level related to sound intensity? Recall thatlog10(ab) = log10(a) + log10(b).?1 ? ?2 = dB map of europe. a key notes railroads in 1850 (purple lines), centers of industry (black dots), iron ore deposits (green dots), and coal and lignite deposits (red dots). a second key notes percent of population in cities of over 100,000 with three different shades. france, germany, and northern europe have 20 percent or more of cities with over 100,000 people. according to the map, most industrialization in europe occurred in the . the production of was profitable throughout western europe. the building of helped transport goods throughout europe. according to the map, the population trend indicates that more people are moving into . What are 4 examples of regions? don draper holds _________________ over conrad hilton. adama has just been hired as a buyer at a u.s. company that imports goods from taiwan. she does not know anything about the taiwanese culture, but she is being sent to taipei next week. between adjusting to her new role and preparing for the business portion of her trip, adama will not have much time to learn about her hosts. which of the following is something she should do to help ensure that she communicates effectively during her meetings in taiwan? FILL IN THE BLANK. ___ refers to the latest generation of distance learning that uses satellite technology to broadcast programs to different locations and allows trainees to respond to questions using a keypad. In most sales organizations, ____ have the ultimate responsibility for recruiting and selection.a.district sales managersb.regional sales managersc.sales managers with direct supervisory responsibilityd.SBU managerse.vice presidents of sales People who try to help others just because they are humansare calledA developersB educatorsC government workersD humanitarians PLEASE HELP DUE ASAP ! Which of the following accounts would not appear on a balance sheet?Multiple ChoiceService RevenueSalaries PayableUnearned RevenueInterest Payable Which of the following is a general rule that states that an advertisement for the sale of goods, even at a specific price, is not treated as an offer?the invitation to make an offerthe mirror image ruleauthorized means of communicationan advertisement How do I move columns in JSL? What's the symbol for a TA? Is organic chemistry as a second language helpful? A polytropic process with n=1.5 is applied to methanol vapor in a piston/cylinder device. The process starts at room temperature and ends at 435 C. Find the specific work during the process. Assume ideal gas behavior. 7. The ratio of dahlias to sunflowers is the same in all of theflower arrangements at a banquet.A. MTR Use Structure Complete the double number line toshow the ratios of dahlias to sunflowers in all the flowerarrangements at the banquet.12Dahlias 04Sunflowers 08166a15 18B. How many dahlias will there be when there are 33 sunflowers?C. What is the ratio of dahlias to all flowers when there are 21 totalflowers?D. What is the ratio of sunflowers to all flowers in a bouquet with70 total flowers?20 241221328 dahlias246 sunflo Question:What is the molar mass of KMnO4?Molar Mass:Molar mass is the number of grams of a substance that equals one mole or 6.02x1023 molecules, also known as Avogadro's number. Molar mass can be used to convert between moles and grams, denoted by g/mol. What is the height h for the base that is 5/4 units long? the cells in the human body are like little factories. in order to grow, repair, and live, the cells need supplies. which body systems help these cells get the energy they need? letter of chief minister urgent need a government hospital grate 9 easy letter