Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.

Answers

Answer 1

Answer:

[tex]We\ are\ given\ that,\\Percent\ of\ reduction=x_-\\So,\\Let\ the\ percent\ of\ increase\ be\ x_+\\Let\ the\ original\ price\ of\ the\ item\ be\ y\\Let\ the\ price\ after\ the\ decrease\ be\ z\\.\\Hence,\\y-\frac{x_-}{100} =z\\ z+\frac{x_+}{100}=y\\By\ simply\ adding\ the\ equations,\\(y+z)+(- \frac{x_-}{100}+\frac{x_+}{100})=(z+y)\\Hence,\\- \frac{x_-}{100}+\frac{x_+}{100}=0\\Hence,\\ \frac{x_-}{100}=+\frac{x_+}{100}\\Hence,\\x_-=x_+\\[/tex]

[tex]Hence,\ the\ percent\ of\ increase\ is\ same\ as\ the\ percent\ of\ decrease.[/tex]


Related Questions

Will be mark brainless please answer correctly

Select the correct answer.
Consider functions hand k.

A. 1
B. -3
C. 2
D. 4

Answers

I believe the answer is B. -3.

Nevaeh is decorating the Christmas tree. She has 85 red bulbs, 76 green bulbs, 49 yellow bulbs, and 52 blue bulbs.

A. Does she have more red and blue bulbs or green and yellow bulbs?

B. How many light bulbs does she have in all?

Answers

Answer:

A) Red and Blue Bulbs

B) 262 lightbulbs.

Step-by-step explanation:

A) red and blue = 85+52=137

Yellow and green = 76+49=125

Answer to A is Red and Blue bulbs

Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.

Hope this helps plz hit the crown :D

Expand and simplify
(5x+2)(2x-3)

Answers

Step-by-step explanation:

(5x + 2)(2x –3)

5x² – 15x + 4x – 6

5x² – 11x –6

Solve for u .
-3 (-6u+6) - u = 2 (u-6) - 1​

Answers

Answer: U = 18

Step-by-step explanation:

U in (-oo:+oo)

U/(-6)+2 = -1 // + 1

U/(-6)+1+2 = 0

3-1/6*U = 0 // - 3

-1/6*U = -3 // : -1/6

U = -3/(-1/6)

U = 18

U = 18

Answer:

-3 (-6u+6) - u = 2 (u-6) - 1​

18u -18 -u = 2u -12 -1

18u-u-2u=-12-1+18

15u= 5

u =5/15 = 1/3

Step-by-step explanation:

for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
the purse?


A)$0.75
B)$1.61
C)$3.76
D$16.13

Answers

The answer is B
Convert the percentage into a decimal so 7.5% is .075
So just multiply the cost and the percentage in decimal form 21.50x.075= 1.61 and there’s your answer

Please someone help me with this

Answers

Answer:

Looks like at (3,21) the graph intersects, meaning both values are equal to one another.

x/18 = (2/3)^log base x of 12

Answers

Answer:

wait what is that what the question ask you to do

4. Ollie has a jar of preserves in the shape of the cylinder. If the jar is currently , full of preserves,
what is the volume of preserves in the jar?

Answers

Answer: D. 25.12 units3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

so first you need to find the volume of the cylinder which is 100.53

Next, you need to divide the volume by 1/4 which will give you 25.13

write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)
an equation is: a(n) = _n-_
a(50)= _

Answers

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

[tex]a_{n}[/tex] = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

The sum of the digits of a certain two-digit number is 7. If you flip the digits of the two-digit number, the number is increased by 9. What is the two digit number?​

Answers

Answer:

34

Step-by-step explanation:

3 + 4 = 7

34 increased by 9 is 43.

Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.


After how many minutes will both aquariums contain the same amount of water?

Answers

12 to the fifth power hope this helps have a nice day

Which of the following best classifies a quadrilateral with coordinates A(2, 6), B(5, 1), C(10, 4), and D(7, 9)?


Rectangle

Parallelogram

Rhombus

Square

Answers

Answer:

Square

Step-by-step explanation:

I took the flvs test, and I actually looked on course hero (a trusted site) and found it was square, then worked the problem out and found out it was actually a square.

Quadrilateral is a polygon with four sides. The specified quadrilateral falls in the category shown by: Option

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

What is a rhombus?

Its a parallelogram but all sides of same length.  Its diagonals are perpendicular bisector of each other, but might not be equal.

What is a square?

That rectangle whose all sides are equal is called a square.

A square has its diagonals perpendicular bisector of each other and are of same length. (this is actually a characteristic property, which means that if a quadrilateral has its diagonals equal and perpendicular, then it is a square for sure).

A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2 }[/tex](in units)

How to find if two lines are perpendicular to each other?

If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a

For the given case, the coordinates of  the vertices of the quadrilateral are: A(2, 6), B(5, 1), C(10, 4), and D(7, 9)

The diagonals are AC and BD.

Slope of AC = [tex]m_{AC} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4-6}{10-2} = -1/4[/tex]

Slope of BD = [tex]m_{BD} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9-1}{7-5} = 4[/tex]

It is visible that AC and BD's slope are negative reciprocal of each other. Thus, they are perpendicular to each other. Thus, the quadrilateral is either a square or Rhombus

Now, finding lengths of the diagonals:

[tex]|AC| = \sqrt{(4-6)^2 + (10-2)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]

[tex]|BD| = \sqrt{(7-5)^2 + (9-1)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]

Thus, their lengths are also same,

This is why, the considered quadrilateral is a square.

Learn more about square here:

https://brainly.com/question/5426789

HELP!!!!

When is Ann's distance from home increasing the fastest? give a reason to support your answer

Answers

Her distance is increasing fastest from minute 5 to 6 as the rate of change of the distance in that interval (40 mph increase) is greater than that if any other interval

PLZ CHECK, DON'T SPAM PLZ
its attached below

Answers

Answer:

correct answer given

Answer:

C

Step-by-step explanation:

The constant term in a polynomial expression is the numeric term with no variable attached to it.

In this case the constant is + 1 → C

Which is equivalent to
2 1/4

Answers

Answer:

9/4 or 2 2/8

Step-by-step explanation:

Answer:

you did not put the options but here are some

9/4 = the improper fraction

2 2/8

2.25

if u want other ones lemme know, cuz i dont know the options they gave u, if there are any options.

Have a nice day!

Which set of ordered pairs represents a function?
(0, 0), (1, 2), (2, 4), (3, 4)

(0, 1), (1, 2), (2, 3), (2, 4)

{0, 0), (0, 2), (2, 2), (2, 4)

(O0, 1), (1, 3), (1, 5), (2, 6)

Answers

Step-by-step explanation:

на я был в bbs я был в душе

The capacity of a small children’s swimming pool is 106 gallons of water. There are currently 15 gallons of water in the pool. You are filling the pool at a rate of 2 gallons per minute.
1. Write an equation that gives the amount y (in gallons) of water in the pool as a function of the number x minutes from now.
2. After how many minutes will the pool be full?

Answers

Answer:

1. y=2x+15

2. 45.5 min

Step-by-step explanation:

1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.

2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.

Solve the system by substitution 10x-2y=-16 and y=3x

Answers

Answer:

x=4

Step-by-step explanation:

10x- 2(3x)=-16

10x-6x=16

4x=16

x=16/4=4

If you are buying at item at a store for a price of $61, and there is a 6.7% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:

The total amount due at the register will be: $65.09    

Step-by-step explanation:

The cost of an item = $61

tax on item = 6.7%

The tax amount =  6.7% × 61

                           = 0.067 × 61

                           = $ 4.09

The total cost = cost of an item + tax amount

                           = $61 + $4.09

                           = $65.09

Therefore, the total amount due at the register will be: $65.09                        

Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip is 15%?

Answers

Answer:

$5.40

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have an amazing day and consider marking this brainliest if you do thank you in advanced!

36.00 * .15 equals 41.40

PLEASE HELP ME.
The coordinates for the vertices of quadrilateral ABCD are A(-3,2) B(-2,6) C(2,7) and D(1,3). Use this information to answer the questions below.
Slope of side AB:
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Slope of side CD
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Slope of side DA
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Classify the quadrilateral
A. Square
B. Rectangule
C. Rhombus
D. Parallelogram
E. Trapezoid​

Answers

Answer:

B, B, A

Step-by-step explanation:

I don't know number 4 answer. hope I helped

C=5/9(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

The final answer is D) I and II only

Step-by-step explanation:

Think bout what the formula is

y=mx+b

in this case

the slope of the graph is  

5/ 9 , which means that for an increase of 1.

C= 5 /9 (F)

C=

5 /9  (1)= 5 /9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9 /5  degrees Fahrenheit.

Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.

Will Give Brainly if correct
Select all the angle measurements that are correct
g=24,
h=24,
f=151,
g=29,
b=132,
h=19

Answers

Answer:

a = 132

b = 132

d = 29

e = 29

f = 151

g = 24

h = 24

How much would a 20% tip be

Answers

Answer: 1.18 OR 0.18

Step-by-step explanation:

Answer:

It would depend of what your bill is.

Step-by-step explanation:

Here is how to find the tip of a bill.

Move the decimal, then double the number.

Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.

Round up to the next easy number: $5.40.

Double that number to get $10.80, which is 20% of your original bill.

A passenger in an airplane looks out the window and spots the airport in the distance. The angle of depression to the airport is 63°, and the airplane is flying at 18,000 feet. What is the horizontal distance to the airport?

Answers

9514 1404 393

Answer:

  about 9171 feet

Step-by-step explanation:

It can help to draw a diagram.

The relation between angle, opposite side, and adjacent side in a right triangle is ...

  Tan = Opposite/Adjacent

  tan(63°) = (18000 ft)/(horizontal distance)

  horizontal distance = (18000 ft)/tan(63°) ≈ 9171 ft

The horizontal distance to the airport is about 9171 feet.

Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?

Answers

Answer:

$189

Step-by-step explanation:

We can create a system of equations to solve this equation. They are as follows:

[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]

In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.

We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.

[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]

Now that we have A by itself we can plug it into the second equation.

[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]

We have found Y now lets plug it back into the first equation to find the value of A.

[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]

Let's check our variables by plugging them both in to the second equation.

[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]

Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:

[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]

Therefore, 2 adult tickets and 5 kid tickets would cost $189.

Hope this helps!!

- Kay :)

If you have any questions feel free to ask!

help someone please i’ll give brainliest

Answers

what is the question? i can help i just need a question

Hi, i need help Pleases.​

Answers

Answer:

D. it has all the odd number in between 2-20 and in order

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Those are all the odd numbers between 2 and 20

Mientras que en variables discretas se utiliza la función de probabilidad, en distribuciones continuas se utiliza la función de densidad., verdadero o falso?

Answers

Answer:

Answer: FIRST OPTION

Step-by-step explanation:

The missing picture is attached.

By definition, given a Quadratic equation in the form:

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

In this case, the exercise gives you this Quadratic equation:

You can identify that the numerical coefficients are:

Therefore, you can substitute values into the Quadratic formula shown above:

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.

6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?

Answers

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

[tex]C = 42[/tex]

[tex]L= 126[/tex]

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

[tex]42 = 2^1 * 3^1 * 7^1[/tex]

[tex]126 = 2^1 * 3^2 * 7^1[/tex]

Hence, the GCF is

[tex]GCF = 2^1 * 3^1 * 7^1[/tex]

[tex]GCF = 42[/tex]

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

[tex]Treats = \frac{C}{GCF}[/tex]

[tex]Treats = \frac{42}{42}[/tex]

[tex]Treats = 1[/tex]

For L:

[tex]Treats = \frac{L}{GCF}[/tex]

[tex]Treats = \frac{126}{42}[/tex]

[tex]Treats = 3[/tex]

Hence, 1 candy bar and 3 lollipops

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