an otterbox was on sale 20% off. if the sale price was $47.99, what was the original price?

Answers

Answer 1

Answer:$38.39

Step-by-step explanation:

Original price: $

47.99

Discount percentage:

20

%

Results

Discount:

$9.60

Final Price:

$38.39

Answer 2

Answer:

$59.99

Step-by-step explanation:

"20% off" translates into "80% of original price."

Thus, 0.80p = $47.99, where p is the original price.

Dividing both sides by 0.80 yields:

p = $59.99


Related Questions

Please help me asap i will mark branlist please explain

Answers

Answer:

195in^2 is the correct answer.

Step-by-step explanation:

A shipping company says the box can hold a volume of 672 cubic inches. The base of the box measures 14 inches by 8 inches. What is the height of the box?

Answers

Height is 6 inches

Step-by-step explanation:

The volume of a box can be calculated as : l * w * h

Volume of the box is given as =672 in²

Applying the formula

v=l*w*h

672= 14*8*h

672/(14*8) = h

6=h

Height is 6 inches

Learn More

Volume of a rectangular box:https://brainly.com/question/10777272

Keywords ; company, volume,height, inches

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Answer:

6 in

Step-by-step explanation:

Tony believes that x = -9 is a root of the polynomial x^2 + 13x + 36. Erika, however, believes that x = 4 is a root of the same polynomial. Who is correct?

Answers

Tony is correct.

Step-by-step explanation:

Given polynomial is;

[tex]x^2+13x+36=0[/tex]

Tony's answer is x = -9

We will put x = -9 in given polynomial.

[tex](-9)^2+13(-9)+36=0\\81-117+36=0\\0 = 0[/tex]

Tony's solution satisfies the equation.

Erika's answer is x = 4

We will put x = 4 in given polynomial.

[tex](4)^2+13(4)+36=0\\16+52+36=0\\104\neq 0[/tex]

Erika's solution does not satisfy the equation, therefore

Tony is correct.

Keywords: polynomial, roots

Learn more about polynomials at:

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#LearnwithBrainly

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked
from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the
total distance Courtney walked was 8 kilometers,
Let 6 be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours
it took her to walk from the beach to the park.
Which system of equations represents this situation?

Answers

Question:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Let b be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours it took her to walk from the beach to the park.

Which system of equations represents this situation?

Answer:

CORRECT (SELECTED)

⎪b+p=2

⎨4b+5p=8

Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces?

On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (negative 5, negative 27.5) and ends at point (5, 27.5).
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (negative 5, negative 27.5), (negative 4, negative 22), negative 3, negative 16.5), (negative 2, negative 11), (negative 1, negative 5.5), (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)

Answers

Answer:

the answer is the first graph

Step-by-step explanation:

because the negative points are not viable

The graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a linear equation in the form of slope:

y = 5.5x

Slope of the line m = 5.5

Slope is positive, which means the line goes down to up.

We can plot the graph of the equation y = 5.5x

Option first On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5) is correct.

Thus, the graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.

Learn more about the straight line here:

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Simplify the expression.

Answers

Answer:

The answer is (t4)-7

Step-by-step explanation:

First you simplify the like terms so t add the 2s together and you get t4 then add the negative numbers and it equals -7.

Answer:(t4)-7

Step-by-step explanation:

if you know abc=def can you state bc=ef​

Answers

Answer:

CPCTC

Step-by-step explanation:

If abc=def is given,

then using the cpctc rule. (corresponding parts of congruent triangles are congruent) should state this answer.

what is the second smallest number that has 1,2,3,4,5 as factors

Answers

120 because of course 1 can go into anything, 2 would be 60, 3 would be 40, 4 would be 30 and 5 would be 24

Calculate the mean of 12, 15, 6, 4, and 3.

Answers

Answer:

8

Step-by-step explanation:

12+15=27 27+3=30 30+6+4=40 40/5=8

Answer:

the answer is 8

Step-by-step explanation:

12+15+6+4+3 / 5 = 8

find the sum of the product of 10 and 36 and the product of 12 and 51​

Answers

Answer:

972

Step-by-step explanation:

10 x 36= 360

12 x 51= 612

360+612= 972

Brainliest please :)

Answer:

972

Step-by-step explanation:

Product = Multiplication

Sum = Addition

10 * 36 + 12 * 51

Multiply first

360 + 612

Add

972

Hope this helps :)

The awnser choices are in the second photonplz awnser asap their are
3 questions plz help

Answers

Answer:

Part A : [tex]1621\frac{1}{3}\pi[/tex] cubic meters.

Part B : 540π cubic cm.

Part C : [tex]V = \frac{4}{3}\pi r^{3}[/tex]

Step-by-step explanation:

Part A :

The volume of the silo includes the volume of a hemisphere and a cylinder.

So, the total volume

[tex]V = \frac{2}{3}\pi r^{3} + \pi r^{2}h[/tex]

⇒ [tex]V = \frac{2}{3} \times \pi (8)^{3} + \pi (8)^{2} (20)[/tex]

⇒ [tex]V = \frac{1024}{3}\pi + 1280\pi = 1621\frac{1}{3}\pi[/tex] cubic meters. (Answer)

Part B :

The volume of the cylindrical cup with height 15 cm and base radius 6 cm is given by

[tex]V = \pi r^{2}h = \pi (6)^{2} (15) = 540\pi[/tex] cubic cm.

Therefore, Mary can put 540π cubic cm of water in the cup with out it overflowing. (Answer)

Part C :

A basketball is of a spherical shape.

So, the formula of its volume is given by [tex]V = \frac{4}{3}\pi r^{3}[/tex]. (Answer)

Which equation uses the distributive property to show 6 × 78 = 468? A) 6 + (70 × 8) = 468 B) 6 × (70 + 8) = 468 C) 6 + (70 + 8) = 468 D) 6 × (70 × 8) = 468

Answers

Answer:

b

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

Answer:

B

Step-by-step explanation:

literally the only equivalent equation

100 points for the first five people!!!!!

Answers

Answer:

cj sjx soiebxidhevdi hi

Answer: hi

Step-by-step explanation:

Lol

question and answer choices in the attachment

Answers

You have the correct answer. It is choice C) additive inverse.

The additive inverse is the idea of adding a negative number, which is the same as subtraction. Example: 2 + (-3) = 2-3

Based on the example above, if we start off with 3 and add on its additive inverse -3, then 3 + (-3) = 3-3 = 0. In general, x + (-x) = x-x = 0. So adding any number with its additive inverse gets you 0 every time.

-----------------------------------------------

Extra info:

Choice A is ruled out because the commutative property of multiplication is the idea that we can multiply two numbers in any order we want. Eg: 7*8 = 56 and 8*7 = 56, so 7*8 = 8*7Choice B is ruled out as well. The commutative property of addition is similar to the rule mentioned in choice A. But now we're adding. This rule says we can add two numbers in any order. Eg: 4+5 = 5+4 = 9Choice D is ruled out also. The multiplicative inverse of x is 1/x. Multiplying the two together gets you 1. Keep in mind that x cannot be zero. Example: The multiplicative inverse of 99 is 1/99, since 99*(1/99) = 99/99 = 1.

Please help! How do I simplify -16(0.47)^2?

I know the answer, I'm just not sure of the steps.

Answers

The value of [tex]-16(0.47)^2[/tex] is equal to - 3.5344.

Step-by-step explanation:

We have,

[tex]-16(0.47)^2[/tex]

To find, the value of [tex]-16(0.47)^2[/tex] = ?

∴ [tex]-16(0.47)^2[/tex]

= [tex]-16(\dfrac{47}{100} )^2[/tex]

= [tex]-16\times \dfrac{47}{100}\times \dfrac{47}{100}[/tex]

= [tex]-4\times \dfrac{47}{25}\times \dfrac{47}{100}[/tex]

= [tex]- \dfrac{47}{25}\times \dfrac{47}{25}[/tex]

=[tex]- \dfrac{2209}{625}[/tex]

= - 3.5344

The value of [tex]-16(0.47)^2[/tex] = - 3.5344

Thus, the value of [tex]-16(0.47)^2[/tex] is equal to - 3.5344.

The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the
legs of the triangle? Select three options.
3 0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x - 24 = 0
10 ft
(x + 2) ft
* x2 + 2x - 48 = 0
* x2 + (x + 2)2 = 100
xft
Not drawn to scale

Answers

The equations used to find the length of leg of triangle are:

[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]

Solution:

From given,

Area of right triangle = 24 square feet

Also from given figure in question (attached below )

base = x and height = x + 2

The area of triangle is given by formula:

[tex]Area = \frac{1}{2} \times base \times height[/tex]

Substituting the values we get,

[tex]24 = \frac{1}{2} \times x \times (x+2)\\\\24 = 0.5x(x + 2)\\\\48 = x(x+2)\\\\x^2 + 2x - 48 = 0\\\\[/tex]

Also, the above equation can be written as,

[tex]x^2 + (x+2)^2 =100[/tex]

Thus the equations used to find the length of leg of triangle are:

[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]

Answer:

A, D, E

Step-by-step explanation:

From the answer above, but the letters to make it easier :)

The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the
triangle is 6 centimeters. What is the length of the triangle's other leg?

Answers

The answer for this problem is 12.64

Is this right? If not someone explain to me why it’s not. :)

Answers

Answer:

x= 14√3

y= 28√3

Step-by-step explanation:

Please see attached picture for full solution.

(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)

In this case, by Pythagoras's Theorem, you should ensure that:

[tex] {y}^{2} = 42^{2} + {x}^{2} [/tex]

✓ Let's check:

[tex]{y}^{2} = (28 \sqrt{3} )^{2} \\ y^{2} = 2352 \\ {x}^{2} + {42}^{2} = ( 14\sqrt{3})^{2} + 1764 = 2352[/tex]

This satisfies Pythagoras' Theorem :)

For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.

Cosine angle= adjacent/ hypotenuse

Sine angle= opposite/ hypotenuse

tangent angle= opposite/ adjacent

Then substitute the known side and angle to find the unknown side.

the solution to 5 - 3x> 35 is either x>-10 or -10> x. which solution is correct

Answers

it should be x < -10 because when you divide by a negative number the inequality sign flips.

points (0,12) and (1,3) in linear function

Answers

Answer:

y = -9x + 12

Step-by-step explanation:

first find the slope

m= 3 - 12

1 - 0

m = -9

y = mx + b

y = -9x + 12

(the 12 is the y intercept and is given in the question so there is no need to solve for it)

The ratio of men to women working for a company is 4 to 7. If there are 105 women working for the company, what is the total number of employees? (Help please)

Answers

Answer:

165 people

Step-by-step explanation:

If there are 105 woman then there are going to be 60 men because 105/7=14, so you multiply 4*15 and get 60. 60 + 105= 165. So the total employees will be 165.

The total number of employees is the sum of men and women, which is 105 (women) + 60 (men) = 165 employees.

To find the total number of employees, calculate the number of men from the given ratio 4:7 and the number of women (105), and then add the number of men to the number of women to get the total.

The question is about finding the total number of employees in a company given the ratio of men to women and the number of women.

Let's use the provided ratio of men to women, which is 4 to 7, to calculate the number of men.

Since there are 105 women, and the ratio dictates that for every 7 women there are 4 men, we divide 105 by 7 to find the number of units that represent women, which is 15.

We then multiply this by 4 (the number of men) to find the number of men, which is 60.

105 + 60 = 165

can some one plz help me with this question
Solve the equation.

6(2x - 3) + 4 = 16 - (-18)

Answers

Answer:

x=4.16

Step-by-step explanation:

12x -18 +4 = 16+18

12x-16= 16+18

12x-16=34

      +16 +16

12x=50

50/12

4.16

Simplify 3(1/6+2/9) + (-2)

Answers

Answer:96

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

3(1/6+2/9)+(-2)

1/6+2/9= 7/18

3*7/18 = 21/18 = 1 1/6

1 1/6 - 2 = -5/6

Find the slope for the following pair of points:

(10,4) and (-2, 17)

Answers

Final answer:

The slope of the line passing through the points (10,4) and (-2, 17) is calculated using the slope formula and is approximately -1.08.

Explanation:

To find the slope for the line passing through the two points (10,4) and (-2, 17), we use the slope formula which is (change in y)/(change in x) or (y2 - y1) / (x2 - x1). Applying this formula to our points:

m = (17 - 4) / (-2 - 10)

m = 13 / -12

m = -1.0833...

So, the slope of the line that passes through the points (10,4) and (-2, 17) is approximately -1.08.

6. Find the value of x.
19x - 36
6x + 31

Answers

Final answer:

To find the value of x, set the expressions equal to each other and solve for x.

Explanation:

To find the value of x in the given equation, we need to set the two expressions equal to each other and solve for x. So, we have:

19x - 36 = 6x + 31

Subtracting 6x from both sides, we get:

13x - 36 = 31

Adding 36 to both sides, we get:

13x = 67

Dividing both sides by 13, we get:

x = 67/13

So the value of x is approximately 5.15.

John is 3 years younger than twice Monica's age. If m represents Monica's age, which equation can be used to find j, John's age?

A. j = 2m-3
B. m = 2j-3
C. j = 3-2m
D. m = 3-2​

Answers

Answer:

J =2m -3

Step-by-step explanation:

2m is twice Monica's age

-3 represents 3 years younger

Solve the system of equations. y = 6x - 27 y = 4x - 17 a. ( -5, 3) c. ( 5, 3) b. ( -3, -5) d. No solution Please select the best answer from the choices provided A B C D

Answers

Answer:

c. ( 5, 3)

Step-by-step explanation:

6x-27=4x-17

6x-27-4x=4x-17-4x

2x-27=-17

2x-27+27=-17+27

2x=10

x=10/2

x=5

y=6(5)-27

y=30-27

y=3

What is the answer for 25% of 450

Answers

Answer:

112.5

Step-by-step explanation:

112.5 ÷ 450 =

0.25 =

0.25 × 100/100 =

0.25 × 100% =

(0.25 × 100)% =

25%

or

25% × 450 =

(25 ÷ 100) × 450 =

(25 × 450) ÷ 100 =

11,250 ÷ 100 =

112.5

Answer:

112.5

Step-by-step explanation:

First you would divide 450÷100=4.5. Then you would multiply 4.5×25=112.5.

this would give you 25% of 450

400÷100=4.5

4.5×25=112.5

a syrup is made by dissolving 2 cups of sugar to 2/3 cups of boiling water. how many cups of sugar should be used for 2 cups of boiling water​

Answers

Answer:

6 cups

Step-by-step explanation:

did the math

For two cups of boiling water, 6 cups of sugar would be needed

The first step is to determine how many cups of sugar that would be needed for one cup of boiling water

The number of cups of sugar needed for a cup of boiling water = cups of sugar / cups of boiling water

2 ÷  [tex]\frac{2}{3}[/tex]

2 x [tex]\frac{3}{2}[/tex] = 3 cups

The second step is to determine the number of cups of sugar that would be needed with two cups of boiling water

Cups of sugar needed for 2 cups of water = cups of sugar needed for one cups of boiling water x 2

3 cups x 2 cups = 6 cups

In order to determine the cups of sugar needed for two cups of boiling water, first determine the number of cups of sugar needed for a cup of boiling water. Use the figure determined to find the cups of sugar needed for 2 cups of water

A similar question was solved here: https://brainly.com/question/16614723?referrer=searchResults

WILL GIVE BRAINIEST!!!
Dominic collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected: Favorite Sport Swimming Running Volleyball Row totals Grade 8 0.24 0.17 0.05 0.46 Grade 9 0.18 0.14 0.22 0.54 Column totals 0.42 0.31 0.27 1 Based on the data, which statement is most likely correct? In Grade 8, 14 students liked swimming. In Grade 8, 17% of students liked running. In Grade 9, 31% of students liked volleyball. In Grade 9, 22 students liked volleyball.

Answers

Answer:

The only correct statement is ii) In Grade 8,  17% of the students liked

running.

Step-by-step explanation:

Favorite Sports

                    Swimming        Running      Volleyball      Total

Grade 8            0.24                0.17             0.05               0.46

Grade 9            0.18                 0.14             0.22               0.54

Total                  0.42                0.31            0.27                 1

i.) In Grade 8 14 students liked swimming.

   This cannot be said with accuracy as the total number of students is not

   known.

ii) In Grade 8,  17% of the students liked running.

   This statement is TRUE.

iii)  In Grade 9, 31% of students liked volleyball.

    This statement is NOT TRUE.  In Grade 9,  22% of the students liked

     volleyball.

iv)  In Grade 9, 22 students liked volleyball.  

    This cannot be said with accuracy as the total number of students is not

   known.

  The only correct statement is ii) In Grade 8,  17% of the students liked

  running.

Answer:

In Grade 8,  17% of the students liked running.

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The figure below represents sedimentary layers in a single geographic location. Usethe diagram below to answer the question.06:09Layer C is a fine-grained sandstone with cross-bedding and land animal fossils. Nomarine fossils are present. Under what conditions did it most likely form?a) Fine sands are generally deposited by wind. The absence of marine fossils and the presence of land animalfossils suggest that the area was dry, sandy land, such as a desert.b) Graded bedding is found as a result of underwater landslides. The presence of marine fossils confirms thatthe area was under the sea at one time.UC) The presence of marine fossils in a limestone confirms that this rock layer formed in an ocean.ud) None of the above Which type of star system is pictured? Phil, a quality assurance expert, recently left his position in the automotive industry and now works in construction equipment manufacturing. He needs to become familiar with who his company's competitors are, their competitive advantages, their locations, their product lines, and anything else he can learn about them. Phil is seeking ____________.A. core competency B. trade secrets C. competitive intelligence D. a means-end chain E. corporate espionage Canada's oil industry is dominated by 8-10 major corporations. Though they face strict safety and environmental regulations, these corporations have helped oil exports to become the world's fifth largest oil producer and fourth largest oil exporter.This passage is BEST representative of which fact?A)Canada has a Mixed economy.B)Canada has a Command economy.C)Canada suffers from too much regulation.D)Canada needs tighter environmental regulations. Chomsky observed that: a. some rules of grammar are present in all languages. b. all parents reinforce correct use of grammar. c. all young children master basic grammar according to a schedule. d. all grammar rules are the same across all languages. What cant pet DNA tests tell us about our pets? Help, please I will give have 329 points. Imagination Museum is holding nominations for its board of directors. It is the first time that over half of the positions are vacant 32 due to either retirements or term expirations. The new CEO wants to be sure that the board is representative of the community, as well as the patrons who attend most of the events. Which of the following considerations are important for a good board? Skipped Multiple Choice 1. racial balance 2. financial balance3. religious/cultural balance 4. educational attainment balance 5. gender balance While multiple objects of the same class can exist, in a given program there can be only one version of each class. Group of answer choices True False . Which communications management practice includes specifying all of the communications systems and platforms that parties will use to share information? Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced. GIVING BRAINLIEST pls explain, Consider these proportions: 1:3 1.5:4.5 2:6 2.5:7.5 Which of the following proportions belongs to the above set? A 5:15 B 6:21 C 7:21 D 8:34 a. A and B c. B and D b. A and C d. C and D Which of these expressions is equivalent to log (9.4)?O A. log (9) + log (4)O B. log (9) - log (4)O c. 9. log (4)O D. log (9) log (4) Guggenheim offers a bond with annual payments and a coupon rate of 5 percent. The yield to maturity is 5.62 percent and the maturity date is 9 years away. What is the market price of a $1,000 face value bond? Males unnaturally outnumber females in all of the following states EXCEPT Select one: a. Brazil b. South Korea c. Albania d. India e. China What is the excess charge on a conducting sphere of radius r = 0.31 m if the potential of the sphere is 1375 V and V = 0 at infinity? State the first step in solving the equation. - 1/5y + 2 = -3a. subtract two from both sidesb. multiply both sides by -1/5c. divide both sides by -1/5d. add two to each side Evaluate using long division first to write f(x) as the sum of a polynomial and a proper rational function. (Remember to use absolute values where appropriate.) (x3 + 8x2 + 6) dx x + 8 a cell phone plan charges $39.90 a month, plus $0.05 per text message Which expression can be solved to find how many text messages ,x, can be sent while still keeping the monthly bill under $50 would you expect something with a pH of 4 to be more or less acidic than human blood?