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

HELP PLS QUICK!!!!!!


Put the following in order from smallest to largest


0.2, 1/2 60%

Answers

Answer:

From smallest to largest

0.2, 1/2, 60%

Step-by-step explanation:

:)

Answer:

0.2, 1/2, 0.6/60%

Step-by-step explanation:

Compare using >, <, or =,
64 ounces
4 pounds

Answers

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

Mr. Gengel wants to make a TV stand with boards that are
2 2/3 feet long. If he has a 24-foot board, how many pieces
can he cut from the big board?

Answers

Answer:

Step-by-step explanation:

2 2/3 = 8/3

24 ÷ 8/3

= 9

*EASY* SOLVE WITH STEPS *WILL MARK BRAINLIEST*

Answers

Answer:

(6, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 5y = 13

x + 4y = 10

Step 2: Rewrite Systems

x + 4y = 10

Subtract 4y on both sides:                    x = 10 - 4y

Step 3: Redefine Systems

3x - 5y = 13

x = 10 - 4y

Step 4: Solve for y

Substitution

Substitute in x:                    3(10 - 4y) - 5y = 13Distribute 3:                         30 - 12y - 5y = 13Combine like terms:           30 - 17y = 13Isolate y terms:                   -17y = -17Isolate y:                              y = 1

Step 5: Solve for x

Define equation:                    x + 4y = 10Substitute in y:                       x + 4(1) = 10Multiply:                                  x + 4 = 10Isolate x:                                 x = 6

Answer:

(6,1)    x=6 and y=1        

Step-by-step explanation:

EASY we can use Elimination or Substitution process

We are going to solve by

Elimination process

Subtract each other

(3x-5y=13)

(x+4y=10)

3x-5y=13;x+4y=10

To solve this multiply (x-4y=10) by 3 to get rid of the x

3x-12y=30

now u can subtract both

3x-12y=30 minus

3x-5y=13

17y=17

Divide both sides by 17

y=1

Now we have y lets plug it in to find x

x+4(1)=10

x+4=10

subtract 4 from both sides

x=6

x=6 and y=1

a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?

Answers

Answer:

12.4 feet

 Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3

If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3

 

so,

x/93/5 = 2/3

Multiplying both sides with 93/5

 

x = 2/3 * 93/5

x = 62/5 =12.4

A contractor purchases 5 dozen pairs of padded work gloves for ​$67.20. She incorrectly calculates the unit price as ​$13.44 per pair for the expense report. What is the correct unit​ price? What is the​ error?

Answers

Answer:

13.44

Step-by-step explanation:

she is right...........

Answer:

The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Step-by-step explanation:

The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Question 11

Write the following in order of size, largest first.

sin 1580

cos 1589

cos 38°

sin 38

Answers

Answer:

cos 38, sin 38, sin 1580, cos 1589

What is additive inverse for 23 ?

Answers

Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

EEEEeee Can someone help?

Answers

Answer:

5.61 billion dollars.

Step-by-step explanation:

4.61+1.03=5.61

Answer:

0.223

Step-by-step explanation:

Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

103 ÷ 461 = 0.223

and therefore:

1.03 ÷ 4.61 = 0.223

Both calculated to 3 decimal places.

If g(x) = x2 + 2, find g(3). (2 points)
9
8
11
6

Answers

Answer:

The answer is 11

Step-by-step explanation:

so substitute 3 for x, then your equation would be 3^2 + 2

3^2 is 9

9 + 2 = 11

what is 5 1/3 - 3 5/6 I keep getting the wrong answer and I need the answer as a fraction

Answers

Answer:

3/2

Step-by-step explanation:

If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2

Find the area of the red triangle.
Also explain.

Answers

Answer:

The answer is 9

Step-by-step explanation:

So In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, add 79 and 10 and subsequently subtracting 72 and 8 to get 9.

Answer:u

Step-by-step explanation:

What is the slope of this line?

Enter your answer as a whole or a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1

y - 0 = -1(x + 2)

y = -x - 2

slope is -1

write the equation for (3,3) and (1,-3)

Answers

Answer:

y = 3x -3

Step-by-step explanation:

Find the slope first

Givens

y2 = 3

y1 = - 3

x2 = 3

x1 = 1

Equation

m= (y2 - y1)/(x2 - x1)

Solution

m = (3 - - 3) / (3 - 1)

m = (3 + 3) / 2

m = 3

Find the y intercept next

Use either point to find the y intercept

y = 3x + b

x = 3

y = 3

y = 3*3 + b

3 = 6 + b

-3 = b

Answer

y = 3x - 3

Find the common difference for the sequence shown.



56, 49, 42, 35, ...

Answers

Answer:

7

Step-by-step explanation:

7 I think ..........

can u help me to solve this​

Answers

Answer:

3b(2a+1)(2a-1)

Step-by-step explanation:

12a²b-3b

3b(4a²-1)

3b{(2a)²-1²)}

3b(2a+1)(2a-1)

what is the solution (x,y) to the system of equations? x=10 3x+5y=20​

Answers

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)

Sam and liam raced each other up and down the hill. Sam's avrage speed up hill was 1 mph, and his avrage speed down hill is 9 mph. Liam ran up and down the hill with the same speed 2 mph.If the path from the bottom of the hill is 1 mile long, how much time did it take the boys to finish-and who is the winner?

Answers

Answer:

a. i. 1.11 h ii. 1 h. b. Liam

Step-by-step explanation:

a.

i. Sam's time

We know distance d = vt where v = speed and t = time.

Since our distance here is the length of the path, d = 1 mile.

For Sam, his speed up the hill is v = 1 mph, so, the time it takes him to go uphill is t = d/v = 1 mi/1 mph = 1 h.

He goes down hill at a speed of v = 9 mph, so the time it takes him to go down hill is t = d/v = 1 mi/9 mph = 1/9 h = 0.11 h

So, the total time it takes him to complete the trip is t = 1 h + 0.11 h = 1.11 h

ii. Liam's time

For Liam, his speed both uphill and downhill is v = 2 mph, so, the time it takes to cover each trip is t = d/v = 1 mi/2 mph = 0.5 h.

So for both uphill and downhill trip, the total time is t' = 2 × 0.5 h = 1 h

b. Since Liam's time t' = 1 h < Sam's time t = 1.11 h, that is t' = 1h < t = 1.11 h, Liam is the winner.

Urgent please help!!

Answers

Answer:

Step-by-step explanation:

- (3/4)

ANSWER: -3/4


Steps:

Use the points (0,4) and (8,-2)

Do y-y/x-x

Replace the x and y in the formula

-2-4/8-0

= -6/8 then simplify

= -3/4

Sorry if it's a bad picture I just need help asap​

Answers

Answer:

y=9

Step-by-step explanation:

they grow together by the same amount

Answer:

27/2...or 13.5 as a decimal

Step-by-step explanation:

the ratio of y and x is y/x or, 9/2 with 9 being the y and 2 being the x

the X changed to 3, so y/3 is the new ratio. Since we have another ratio, we can compare them to get the y

the equation : 9/2=y/3--2x=27--

x=27/2

A bakery made 360 cookies. Twenty percent of the cookies were chocolate chip. How many cookies were chocolate chip

Answers

Answer:

72

Step-by-step explanation:

To calculate how much 20% of 360 makes we multiply 360 with 20 then divide it with 100

360 × 20 ÷ 100 = 72

40 POINTS THERE IS MORE THAN 1 ANSWER BRAINLIEST IF CORRECT
Which of the following statements are true regarding the direction of a number? Select all that apply.
A.It is the absolute value of the number.
B.A negative direction is to the left of zero on a horizontal number line.
C.Numbers have no direction.
D.A positive direction is to the right of zero on a horizontal number line.

Answers

Answer:

Whole numbers are also integers. There are other integers which are the opposites of the whole numbers (−1, −2, −3, ...). These negative numbers lie to the left of 0 on the number line. Integers are the whole numbers and their opposites.

Re-write the quadratic function below in Standard Form

Answers

Answer: y=7x^2−42x+69

Step-by-step explanation:

In △ABC, AB = 13.2m, BC = 6.9m and ∠ACB = 90°. H lies on AC such that ∠BHC = 46°. Find (i) ∠ABH (ii) The length of AH

Answers

Answer:

(i) ∠ABH = 14.46⁰

(ii) The length of AH = 4.6 m

Step-by-step explanation:

From the image uploaded;

Consider △ABC;

the length of b is calculated by applying Pythagoras theorem as follows;

b² = c² - a²

b² = (13.2)² - (6.9)²

b² = 126.63

b = √126.63

b = 11.25 m

Also, ∠ABC is calculated as;

[tex]Cos \ B = \frac{a^2+c^2-b^2}{2ac} \\\\Cos \ B = \frac{(6.9)^2+(13.2)^2-(11.25)^2}{2(6.9 \times13.2)}\\\\ Cos \ B = \frac{95.288}{182.16} \\\\ Cos \ B = 0.5219 \\\\B = Cos ^{-1} (0.5231)\\\\B = 58.46 ^o[/tex]

Consider △CBH, ∠CBH is calculated as;

∠CBH = 90⁰ - 46⁰ = 44⁰

(i) ∠ABH will be calculated as;

∠ABH = θ

θ + 44⁰ = ∠ABC

θ + 44⁰ = 58.46⁰

θ = 58.46⁰  - 44⁰

θ = 14.46⁰

Thus, ∠ABH = 14.46⁰

(ii) The length of AH

length HC is calculated as;

[tex]tan \ 46^o =\frac{6.9}{HC} \\\\HC = \frac{6.9}{tan \ 46^o } \\\\HC = 6.66 \ m[/tex]

length of AH = CA - HC

x = b - HC

x = 11.25 - 6.66

x = 4.6 m

length of AH = 4.6 m

The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100

Answers

The side of the square is [tex]x^5[/tex].

Area of square

area of a square = (side)² = a²,

Exponent properties[tex](a^m)^n = a^{m+n}[/tex][tex](\sqrt a)^n = a^{(-2+n)}[/tex]

Given to us

area of a square = [tex]x^{10}[/tex]

Side of the Square

Equating it with the general formula of square

[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]

[tex]x^{10} = a^2[/tex]

Taking square root on both sides,

[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]

[tex]a = x^5[/tex]

Hence, the side of the square is [tex]x^5[/tex].

Learn more about the Area of square:

https://brainly.com/question/1658516

The monomial which represents a side of the square is; x⁵

Area of a square

The area of a square is a 2-dimensional quantity and can be evaluated by the formula;

Area = l².

Hence, the length of the sides of the square is;

l = √A.

According to the question, the given area is x¹⁰.

Therefore, the length of each side is;

l = √x¹⁰ = (x¹⁰)^1/2

l = x⁵.

Read more on area of a square;

https://brainly.com/question/16758129

What is the price for the amount of fuel that Roselyn will use for the entire drive?

Answers

Answer:

$15

Step-by-step explanation:

Total distance to be covered = 150km

Fuel efficiency = 6 km per l

150 / 6 = 25

Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel

= 25 x 0.6

= 15

Question 1 (10points)

Help :)

Answers

Answer:

um B

Step-by-step explanation:

???????

Please help me I’m not good at math ❤️

Answers

0.78= 78%

13/20=0.65

7/25=28%

17/50=34%

please find the value of x :)

Answers

Answer:

x = 16

Step-by-step explanation:

90 = x+8+66

x = 90-74

x = 16

Answer:

16

Step-by-step explanation:

:D

Write the slope-intercept form of the line that passes through the given point with the slope m. Through (3, 5) , m = -3/8

Answers

Answer:

I think this is my best solution for your question

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