Simplify: 2y + x + 3x - y

Answers

Answer 1

Answer:

y + 4x

Step-by-step explanation:

For this problem, we will simply combine like terms using the distributive property and the commutative property.

First, let's use the commutative property:

2y + x + 3x - y

= 2y - y + x + 3x

Second, let's use the distributive property:

2y - y + x + 3x

= y ( 2 - 1 ) + x ( 1 + 3 )

= y ( 1 ) + x ( 4 )

= y + 4x

Hence, the simplification of 2y + x + 3x - y is y + 4x.

Cheers.


Related Questions

PLZ HURRY IM TIMEDDD

Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.


Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.


Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.

Answers

Answer:

B, second option: the product of three fourths is not equal to 9

The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.

What is algebraic equation?

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12

The algebraic equation given by Sameer is wrong, the correct equation will be:

Let the total number of toppings be x.

\(\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16\)

Learn more about algebraic equation here

https://brainly.com/question/953809

#SPJ2

Find the area of the shaded region. Round your answer to the nearest tenth.

Find the area of the shaded region. Round your answer to the nearest tenth.

Answers

9x9=81, rounding to nearest tenth = 80

answer:

to find the area of a square multiply the length and height which in this case is 9 and 9

9x9=81

Step-by-step explanation:

Question 4 Given that P = 6 and a 2, which yields a quotient greater than -9? O A 3 B 3() c Зр (-2) (-p) (-3)​

Question 4 Given that P = 6 and a 2, which yields a quotient greater than -9? O A 3 B 3() c (-2) (-p)

Answers

Answer:

I think is A or B I don't know

Answer:

a

Step-by-step explanation:

Tickets for a concert are $8 for children and $12 for adults. How many child tickets and adult tickets can be purchased for a total cost of $100?

Answers

Answer:

5 Adults Tickets5 Child Tickets

can be sold for a total of $100

Step-by-step explanation:

We can do this, 8+12=20

20x5=100

So, we have to do...

20x5=100$

That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.

Thanks!

Mark me brainliest!

~\(FieryAnswererGT\)~

The James used their sprinkler for 40 hours last month and the Jenkins used their sprinkler for 35 hours. The total output of the two houses was 1525 L. If their combined rate of usage was 40 L/hr, what is the rate of usage for each house?

Answers

Answer:

Step-by-step explanation:

.................8908989

How much is 20% off of $90.75?

Answers

The answer is $18.15

0.20x$90.75

In a football game, a team loses 8 yards, then loses 3 yards, then loses 11 yards.
What is overall change in the number of yards?

Answers

Answer:

the lost 22 yards altogether

they now have -22 yards i believe

Answer:

i think -22 might be the answer

Step-by-step explanation:

Graph with x axis labeled Quantity Demanded and numbered in hundreds, 100 to 500. Y axis is Price, with prices 0 to 6. A line representing the Demand Curve starts at 100, 5 and drops at an angle down to 500, 1. Solid lines extend upward from the x axis to the green line at points 100, 5, 200, 4, 300, 3, 400, 2, and 500, 1. Public Domain Based on the graph, how is quantity demanded related to price? (5 points) Quantity demanded decreases as price decreases. Quantity demanded is equal to the product's price. Quantity demanded decreases as price increases. Quantity demanded increases as price increases.

Answers

Based on the information, the correct information regarding the graph is that C. Quantity demanded decreases as price increase.

How to explain the graph

The graph shows that for every increase of 100 units of the goods demanded, price reduces by 1 unit.

When 500 units was demanded, the price was at 1. Therefore, if 550 units are demanded, the price will reduce by half, which means the price would drop to 0.5.

The price would drop to 0.5. In this case, the the correct information regarding the graph is that Quantity demanded decreases as price increase.

Learn more about graph on

https://brainly.com/question/21858140

#SPJ1

The PTA is holding a raffle. The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.

Answers

The expected value of the purchase of a ticket is -$2.95.

To find the expected value of the purchase of a ticket, we need to consider the probability of winning and the amount of money gained or lost.

Given:

The cost of a raffle ticket is $5.

The prize is a camera worth $200.

One hundred tickets are sold.

To calculate the expected value, we multiply the probability of winning by the value gained and subtract the probability of not winning by the cost of the ticket.

Probability of winning:

Since there are 100 tickets sold and only one winner, the probability of winning is 1/100, or 0.01.

Value gained:

If the ticket is a winning ticket, the value gained is $200.

Probability of not winning:

The probability of not winning is 99/100, or 0.99, as there is only one winner out of 100 tickets.

Cost of the ticket:

The cost of a ticket is $5.

Now, let's calculate the expected value:

Expected value = (Probability of winning × Value gained) - (Probability of not winning × Cost of ticket)

= (0.01 × $200) - (0.99 × $5)

= $2 - $4.95

= -$2.95

The expected value of the purchase of a ticket is -$2.95.

This means that, on average, for each raffle ticket purchased, a person can expect to lose approximately $2.95.

for such more question on expected value

https://brainly.com/question/15858152

#SPJ8

The graph of function f(x) is shown below. At which value of x is the slope of the tangent line to the curve equal to 0?

The graph of function f(x) is shown below. At which value of x is the slope of the tangent line to the

Answers

The slope of the tangent is equal to zero when the derivative is equal to zero, in other words when the function attains a local extremum (maximum or minimum)

So we have to ask ourselves, at which "x" value does f(x) admit a maximum or minimum.

From the graph we can tell that it is at the point of abscissa 2

Answer: x=2

The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?

The graph compares the weights in pounds of 100 dogs and cats that are brought into a veterinarian's

Answers

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units

Answers

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

What is function?

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

To know more about function click-
http://brainly.com/question/25841119
#SPJ1

I need help with this please​

I need help with this please

Answers

Answer:

A' = (4, 4)

B' = (12, 4)

C' = (4, 10)

Step-by-step explanation:

Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.

A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4

A' = (4, 4)

B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4

B' = (12, 4)

C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10

C' = (4, 10)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

please I really need help with this

please I really need help with this

Answers

You would do 4-2= 2 then 8/2 =4 .. final answer being 4
First subtract 2 from 4 (2)
Divide 8 by 2 (4)
The answer if 4

Pls help I am stuck Tysm

Pls help I am stuck Tysm

Answers

The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.

How did Katie miss a length ?

Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.

This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.

Find out more on stem and leaf plots at https://brainly.com/question/27683035

#SPJ1

find the number of outfits a girl could wear if she has 7 skirts,4 shirts and 2 pairs of shoes

Answers

The number of outfits is 56

How to determine the number of outfits?

The given parameters are:

Skirts = 7

Shirt = 4

Shoes = 2

The number of outfits is calculated as:

Number of outfits = Skirts * Shirt * Shoes

So, we have:

Number of outfits = 7 * 4 * 2

Evaluate

Number of outfits = 56

Hence, the number of outfits is 56

Read more about combination at:

https://brainly.com/question/4658834

#SPJ1

Find the area of each figure. Round to the nearest tenth if necessary

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

59.3

Step-by-step explanation:

First find the area of the the right triangles

5 * 4 / 2 = 10

Multiply it by 2 since there are 2 right triangles that are the same

10 * 2= 20

Then find the area of a semi circle

The radius is 5

π5^2 / 2= 39.27

39.27 rounded to the nearest tenth is 39.3

Add them together

20 + 39.3 = 59.3

59.3 is your answer

complete the number pattern 9;27;81?​

Answers

Answer:

243

Step-by-step explanation:

Going in times 3 so 81 x 3 = 243

Match the simplified expressions to the given expressions.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles: X^4, X^36, X^8, X^3, X^12

Pairs:
X^6 / X^2
X^6 x X^2
(X^6)^2

Answers

Answer:

Step-by-step explanation:

Match the simplified expressions to the given expressions.Drag the tiles to the correct boxes. Not all

0x-7*9 = 0
Solve for x.

Answers

Answer:

Undefined

Step by step explaination:

by order of operations we know that we multiply first;

so, 0x-(7*9)=0

1) Multiply the ones in brackets first:

0x-63=0

2) To make X the subject perform the opposite operation:

0x-64+63=0+63

0x=63

3) Divide 0 on both sides;

0x/0= 63/0

therefore; x is undefined

\(0x - 7 \times 9 = 0 \\ \\ 0x - 63 = 0 \\ \\ 0x = 63 \\ \\ x = \frac{63}{0} \\ \\ x = 0.\)

It shows the value of x is undefined .

A complex shape combined frim a square and rectangle b=6, c=8, and d=12 what is the area of this complex figure?

Answers

The area of the complex figure is 132 square units

How to determine the area

From the information given, we have that the composite shape is a combination of a:

SquareRectangle

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
It is the cost of renting a car for a day.
It is the total number of days a car can be rented.
It is the portion of the cost based on renting a car for d days.

Answers

Answer:

It is the portion of the cost based on renting a car for d days

Step-by-step explanation:

Given:

Total cost = 15 + 18d

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change.

Fixed cost = base rate = 15

Variable cost changes during production process. The variable cost in the above varies with the number of days (d)

Therefore, 18d is the portion of the cost based on renting a car for d days.

If you rent the car for 1 day

Total cost = 15 + 18d

= 15 + 18(1)

= 15 + 18

= 33

Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray

Answers

Answer


Answer:
a line

Pls help with math !!!

Pls help with math !!!

Answers

Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

Learn more about Projectile here:

https://brainly.com/question/28043302

#SPJ1

can anyone be able to find the following…

Excluded value(s):
LCD:
Equation after multiplying by LCD:
Solution(s):

can anyone be able to find the followingExcluded value(s): LCD: Equation after multiplying by LCD: Solution(s):

Answers

Answer:

excluded values: -2, 2LCD: (x -2)(x +2)equation: (x+2) +(x -2) = 4solution: none

Step-by-step explanation:

A) Excluded Values

Excluded values are values of x that are not in the domain of the given equation. That is, they are values that make the equation "undefined." In general, those are values that make any of the denominators be zero.

  x -2 = 0   ⇒   x = 2 must be excluded

  x +2 = 0   ⇒   x = -2 must be excluded

  x² -4 = (x +2)(x -2)   ⇒   x = -2, 2 must be excluded

The excluded values are -2, 2.

__

B) LCD

The least common denominator is the product of the unique denominator factors:

  LCD = (x -2)(x +2)

__

C) Equation after Multiplying by the LCD

Multiplying by the LCD gives ...

  \(\dfrac{1\cdot(x -2)(x+2)}{x-2}+\dfrac{1\cdot(x-2)(x+2)}{x+2}=\dfrac{4\cdot(x-2)(x+2)}{(x-2)(x+2)}\\\\(x+2)+(x-2)=4\)

__

D) Solution

Simplifying the above equation and solving for x gives ...

  \(2x=4\qquad\text{simplify}\\\\x=2\qquad\text{divide by 2; not an allowed solution}\)

The value we obtain for x is not an allowed value. This equation has ...

  no solutions

__

Alternate Solution

If we subtract the right side of the equation from both sides, we get ...

  \(\dfrac{1}{x-2}+\dfrac{1}{x+2}-\dfrac{4}{(x-2)(x+2)}=0\\\\\dfrac{(x+2)+(x-2)-4}{(x-2)(x+2)}=0\\\\\dfrac{2(x-2)}{(x+2)(x-2)}=0\qquad\text{simplify, factor}\\\\\dfrac{2}{x+2}=0\qquad\text{cancel common factors; this has }\boxed{\textbf{no solution}}\)

There is no value of x that will make 2 = 0 be a true statement.

Note that we have arrived at the conclusion the equation has NO SOLUTION without having to deal with any extraneous solutions.

__

You can see this working in a different context here:

https://brainly.com/question/26248187

b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine​

Answers

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

For more questions on Velocity .

https://brainly.com/question/25749514

#SPJ8

A tennis racket is normally priced at 90.00 is on for 30% off. What is an expression for the sale price of the racket,

Answers

Answer:

90×0.7

Step-by-step explanation:

I think this is the correct answer.

100-30=70

70=0.7

how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly

Answers

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8

1.)For air travelers, one of the biggest complaints is of the waiting time between when the airplane taxis away from the terminal until the flight takes off. This waiting time is known to have a skewed-right distribution with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights have been randomly sampled. Describe the sampling distribution of the mean waiting time between when the airplane taxis away from the terminal until the flight takes off for these 100 flights.
Answer
Distribution is skewed-right with mean = 10 minutes and standard error = 0.8 minutes.
Distribution is skewed-right with mean = 10 minutes and standard error = 8 minutes.
Distribution is approximately normal with mean = 10 minutes and standard error = 0.8 minutes.
Distribution is approximately normal with mean = 10 minutes and standard error = 8 minutes.

2.)
At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?Answer
0.029
0.050
0.091
0.120

3.)
A catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product. The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 3 minutes. What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order?Answer
0.22313
0.48658
0.51342
0.77687

4.)
Which of the following statements is true?Answer
If the confidence interval estimate for the regression slope coefficient crosses over zero, the average change in y for a one-unit change in x may be zero.
If the regression slope coefficient is very close to zero, this means that the relationship between the x and y variable is statistically insignificant.
A statistically significant regression slope coefficient indicates that for a one-unit change in y there will be a positive change in x by an amount equal to the regression slope coefficient.
It is acceptable to make predictions for y using x values that are outside the range of the data that was used in the regression.

5.)
An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What total sample size would the economist need to use for a 95% confidence interval if the width of the interval should not be more than $100?Answer
n = 1537
n = 385
n = 40
n = 20

Answers

Answer:

I can tell it's the answer number 5

Hi, can you help me with this, step by step explanation so that i can undertand?
What is the sum of the integers between 10 and 200 which are divisible by 7?

Answers

Answer:

Given a = 14

d = 7

an = 196

a + ( n - 1 ) d = 169

14 + ( n - 1 ) 7 = 169

( n - 1 ) 7 = 182

n - 1 = 26

n = 26 + 1

n = 27

Sum = n / 2 ( a + an )

27 / 2 ( 14 + 196 )

27 ( 105 )

2835

Answer:

2835.

Step-by-step explanation:

The first integer divisible by 7 is 14 and the last one is 196 ( as 7*28) = 196).

We have an Arithmetic series here where each term is increased by 7 to get the next one.

The number of terms (n) = (196 - 14)/ 7 + 1 = 26 + 1 = 27.

The formula for the sum of n terms = (n/2)(a + l) where a = first and l = last term.

So the answer is :

(27/2)( 14 + 196)

= 13.5 * 210

= 2835.

Other Questions
Find the Commo ratio. of geometric sequence.? Given = G1 = 1/2, G5=1/32. Which type of energy is stored in the nucleus of an atom?Select one:a. Thermal energyb. Electrical energyc. Nuclear energyd. Radiant energyPLEASE HELP I WILL GIVE 10 POINTS!!!!!!!! trace directly the repeating covalently-bonded backbone atoms in the direction of the amino to carboxyl ends of a polypeptide. which atoms are found repeated in this trace? the official language of brazil is ______. O english O dutch O french O portuguese O spanish PLEASE HELPThe half-life of phosphorous-32 is approximately 24.3 days.How much of a 3 gram sample of phosphorus-32 would remain after 10 days?ROUND TO THREE DECIMAL POINTS. What the hell is a statistical question? A food truck diddaily survey of customers to find their food preferences. The data is partially entered in the freqlComplete the table to analyze the data and answer the questions:Likes hamburgers| Does not like hamburgers| TotalLikes burritos4992Does not like burritos7538Total81205Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)Part C: Use the conditional relative frequencies to determine which data point has strongest association of its twcomplete sentences to explain your answer. (5 points) Imagine that you plan to write a procedural document. What question should you ask yourself to ensure that you address your audience correctly ? PLZZZ hury and answer this thanks to whoever does You purchased $100 each of three different stocks in January. Stock A increased 30% in value. Stock B increased 15% in value. Stock C lost 20% of its original value. What was the overall net percentage of gain in the three stocks? (Round to the nearest percent.) What is the meaning of the term percentage? 16. Jill wants to build a planter box that is in the shape of a right triangle. The hypotenuse willbe 8 feet long. If the two sides of the triangle are to be the same length, how long should theybe? Round answer to nearest tenth of a foot. What is a personal mission statement????I have to write one for class and IDK what that is A+b/a-b =5/3 what are the following ratios? a+b/3b A line with a slope of -1 passes through the point (5,6). What is its equation in point-slope form? What statistical concept is used to explain the natural difference that exists between a sample mean and the corresponding population mean the , or owners, of a corporation elect the who then hire the to run the daily operations. Kara opens a savings account with$500. She makes no changes to thisaccount for 2 years. Her account has acompound interest rate of 3% per year,compounded annually. What will be thetotal amount in the account at the endof the 2 years? Under the principles of engineering economy, the 7-step systematic principles of engineering economic analysis technique are given as: i. Identify the investment alternatives. ii. Focus on the differences. iii. Use consistent viewpoint iv. Use common unit of measure. vi. Consider all relevant criteria. vii. Make uncertainty explicit. viii. Revisit your decision The management team of a small fumiture manufacturing company is under pressure to increase profitability in order to get a much needed loan from the bank to purchase a more modern pattern cutting machine. One proposed solution is to sell waste wood chips and shavings to a local charcoal manufacturer instead of using them to fuel space heaters for the company's office and factory areas. (a) Define the company's problem and reformulate the problem using the 7-step systematic principles of engineering economics. (b) Develop at least one-potential alternative for your reformulated problems in part (30marks) The difference between a mixture and a solution is that mixtures cannot be easily separated. True O False.