Footlocker in the mall is having a 25% off sale on all tennis shoes. Joe paid $67.50 for his
favorite tennis shoes that were on sale. What was the original price of the shoes?

Answers

Answer 1

Answer:

The original price of the shoes was $90.

Step-by-step explanation:

25% off means the price Joe paid for it is 75% of the original price.

Set up an equation:

75/100 = 67.50/x

Cross multiply

75 × x = 100 × 67.50

75x = 6750

x = 90

Check our work:

First solve for 25% off of 90 (our answer).

25% = 0.25

90 × 0.25 = 22.50

Next, subtract the discount from 90.

90 - 22.50 = 67.50

67.50 was what Joe paid so this is correct.


Related Questions

Boats from all along the Atlantic coast dock at a busy marina. Of the first 13 boats to dock at the marina one day, 5 were from North Carolina. What is the experimental probability that the next boat to dock will be from North Carolina?
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?

Answers

Answer:

the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Step-by-step explanation:

Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).

Therefore, the experimental probability that the next boat to dock will be from North Carolina is:

P(North Carolina) = 5/13

For the second question:

Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:

P(chipped) = 2/10 = 1/5

Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.

12. Convert 14 hours to seconds.

Answers

Answer:

50400 seconds

Step-by-step explanation:

60 seconds are in a minute and 60 minutes are in an hour. 60x14 is 840x60 is 50400

Evaluate the function f (x) = 4x^2 - 10x + 2 find f (-7)

Answers

Answer:

268

Step-by-step explanation:

Substitute -7 where x is in the equation which would be 4(-7)^2 -10 (-7) +2

simplify the equation and you should get 268

Given points $A(2,3)$, $B(-1,4)$, and $C(-2,-2)$, determine point $D$ so that the slope from $A$ to $B$ equals the slope from $C$ to $D$, and the slope from $A$ to $D$ equals the slope from $B$ to $C$.

Answers

Answer:

D is approximately (-2, -1)

Step-by-step explanation:

\({ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}\)

\({ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}\)

Solve the green equation and blue equation simultaneously:

\({ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}\)

Let the co-ordinates of D be (a,b)

Slope of AB =Slope of CD

\(\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}\)

\(\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}\)

\(\\ \tt\hookrightarrow -a-2=2b+4\)

\(\\ \tt\hookrightarrow a+2b+6=0\dots(1)\)

Slope of AD=Slope of BC

\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}\)

\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6\)

\(\\ \tt\hookrightarrow 6a-12=b-3\)

\(\\ \tt\hookrightarrow 6a-b-9=0\dots(2)\)

Multiplying 2 with eq(2)

\(\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)\)

Add eq(1) and (3)

\(\\ \tt\hookrightarrow 13a-12=0\)

\(\\ \tt\hookrightarrow a=12/13=0.9\to 1\)

Put in eq(1)

\(\\ \tt\hookrightarrow 12/13+2b+6=0\)

\(\\ \tt\hookrightarrow 90/13=-2b\)

\(\\ \tt\hookrightarrow b=-90/26=-3 4\to 3\)

What is the volume of the pyramid? Show all work.
6 m
8 m
4 m

Answers

6x8x4=192
192/3 = 64
Volume = 64m^3

JetBlue sells a non-refundable ticket to John Rogowski. John can, for a change fee of $250, rebook his flights should he be unable to use the ticket purchased. If he does not change their tickets before the flight, the cost of the ticket is forfeited completely (this is called breakage). If a ticket is sold on May 1st, 2019 for a flight on July 1st, 2019, when can JetBlue recognize revenue for tickets if the customer postpones the flight until August 15th, and pays an additional $300 (change fee and increased travel costs)?

Answers

JetBlue can recognize the change fee revenue of $250 immediately and the additional travel costs revenue of $50 on August 15th when the customer flies.

How to determine when JetBlue rcan ecognize revenue for tickets if the customer postpones the flight until August 15th,

JetBlue can recognize revenue for the ticket sold on May 1st, 2019, when the customer postpones the flight until August 15th and pays an additional $300, under the following conditions:

1. The change fee of $250 is recognized as revenue immediately when the change is made. This is because the change fee represents the consideration received by JetBlue for modifying the ticket.

2. The increased travel costs of $50 ($300 - $250) should be allocated to the new flight date, which is August 15th. JetBlue can recognize this portion of the revenue on August 15th when the customer actually flies.

The initial ticket cost ($0 if forfeited completely) is not recognized as revenue since it represents breakage, and revenue is recognized when the service is provided (i.e., when the customer flies).

Therefore, JetBlue can recognize the change fee revenue of $250 immediately and the additional travel costs revenue of $50 on August 15th when the customer flies.

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1. Which set of ordered pairs DOES NOT represent a function?
a. (0, 1), (2,3), (3,4), (5,6)
b. (1, 1), (2, 2), (3,3), (4,4)
c. (1,4), (1, 5), (1,6), (1,8)
d. (0,7), (2, 4), (4,7), (5,7)

Answers

Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

Jane took 10 min to drive her boat upstream to​ water-ski at her favorite spot. Coming back later in the​ day at the same boat​ speed took her 5 min. If the current in that part of the river is 10 km per​ hr, what was her boat speed in still​ water?

Answers

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water. What is the velocity of the boat relative to shore?

Answers

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

Define velocity.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity. Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.

Given

A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

Velocity,

v = √(1.65)² + (10.7)²

v = √2.722 + 114.49

v = √117.212

v = 10.82

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

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what is 4 divided by 610

Answers

Answer:

4/610=0.00655737704918

Step-by-step explanation:

Answer

0.00655737704

4/610 ≈ 0.007 or 0.01

Step-by-step explanation:

1) 4/610 = 0.00655737704

2) Since the number is too long, you can also round it to the nearest thousandth which is 0.007 or you can round to the nearest hundredth which is 0.01

However, the answer 0.00655737704 is the most accurate.

Hope this helps!

List all the subsets of the given set.
{e, n, t}

Answers

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

How to obtain the number of subsets in a set?

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Ramona completed all 30 questions on the test. If 5/6 of the questions were correct, how many questions
did Ramona answer incorrectly?

Help taking a test.!

Answers

Answer:

If Romona Complete all 30(Don't forget to group all 30) 5/6 were correct! then you will need to subtract 30-5/6= so that would be 29 1/6 Then if you need to find the amount that would be right take the Whole number! so take 30/50 and divide and you should get your answer!

Step-by-step explanation:

i hope this helps

pls help Marcus weighs 45.5 kg. What is his weight in grams?

4,550 g

45,500 g

0.0455 g

0.455 g. ☯︎☻ if there is any links I WILL REPORT ☻☯︎

Answers

Answer:

It would be B 45,000g!!!!

Step-by-step explanation:

Li Wei and Colleen have the same reading assignment. After one week Li Wei has read 90 pages and Colleen has read 126 pages. If Li Wei can you read 30 pages in an hour and Colleen henry 24 pages an hour, when will they be on the same page 

Answers

Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.

What are equivalent expressions?

Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.

In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.

The number of pages Li Wei can read in a week = 90

The number of pages Collen can read in a week = 126

Li Wei's reading rate per hour = 30 pages

Collen's reading rate per hour = 24 pages

Let the hours that Li Wei and Colleen can be on the same page= x

Expressions:

The total number of pages Li Wei can read = 90 + 30x

The total number of pages Colleen can read = 126 + 24x

For Li Wei and Colleen to be on the same, the two expressions are equated.

90 + 30x = 126 + 24x

6x =  36

x = 6

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Jessica is asked to solve this problem on her math quiz −29+14=? She remembered that she needed to watch for the signs on the numbers, but she is still confused on how the rules work for addition of integers. In complete sentences, explain to Jessica what rule she would use to solve this problem and how she can tell what the sign on her final answer should be in order to get the question correct on her quiz.

Answers

Answer:

Step-by-step explanation:

-29 +14 =-15

The biggest number "29" has minus "-" in front, so in the final the sigh will be minus. The final sigh on the answer dibents on the biggest number.

If you have this exercise :

-14 +29 =15

The biggest number has "+" in front of it


Find the image of the point after it has
been reflected across the x-axis.

Find the image of the point after it hasbeen reflected across the x-axis.

Answers

Answer:

the point is (3,-4)

Step-by-step explanation:

Hope this helps!! :) :) :)

Answer:

(2,4)

Step-by-step explanation:

because its asking what is on the other side

8th grade math. I think

8th grade math. I think

Answers

Answer:

113.04 ft^2

Step-by-step explanation:

A= πr^2 = π(6)^2 = π(36) = 113.04

2nd answer I think seeing the other persons explanation helps

find the product of 1.6 and 3.4
Choices:
3.24
5.04
5.44
3.1

Answers

Answer:

5.44

Step-by-step explanation:

1.6*3.4=5.44

Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)

Answers

To solve the equation 2.5x - 10.5 = 64(0.5x), we can complete the table by substituting different values of x and evaluating both sides of the equation:

| x | 2.5x - 10.5 | 64(0.5x) |
|-------|-----------------|--------------|
| 0 | -10.5 | 0 |
| 2 | 2 | 64 |
| 4 | 7 | 128 |
| 6 | 11 | 192 |

By substituting different values of x into the equation, we can see that there is no single value of x that satisfies the equation for both sides. Therefore, there is no solution to the given equation.

Find the distance between the two points in simplest radical form.
(9, 4) and (3,-4)

Answers

Answer:

\(\boxed{\textsf{ The distance between the two points is 8$\sf\sqrt{2}$ units .}}\)

Step-by-step explanation:

Two points are given to us and we need to find the distance in simplest radical form. The given two points are (9,4) & (3,-4) . So lets use Distance Formula to find the distance between them .

Distance Formula is :-

\(\sf\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\sf\implies Distance =\sqrt{ (9-3)^2+(4+4)^2}\\\\\sf\implies Distance =\sqrt{ 8^2+8^2}\\\\\sf\implies Distance = \sqrt{ 64 + 64 } \\\\\sf\implies Distance = \sqrt{ 128} \\\\\sf\implies Distance=\sqrt{64\times 2}\\\\\sf\implies \boxed{\pink{\sf Distance = 8\sqrt{2} units .}}\)

find the mean of the data 49, 62, 52, 54, 61, 70, 55, 53,

Answers

Answer:

57

Step-by-step explanation:

49+62+52+54+61+70+55+53/8 = 57

make b the subject of formula
\(a = \frac{1}{2} bh\)

Answers

Answer:

\(a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} \)

Solve for x using the "Quadratic Formula". You MUST show every level of work !!!!!!!!!!!!!!!!!
3x^2-5x+1

Answers

The solution to the quadratic equation 3x² - 5x + 1 using quadratic formula is; x = (5 + √13)/6 or (5 - √13)/6

How to use the quadratic formula?

The general form of any quadratic equation is written as;

ax² + bx + c = 0

The quadratic formula that is used to solve this is given by;

x = [-b ± √(b² - 4ac)]/(2a)

Now, we are given the quadratic equation as;

3x² - 5x + 1

Thus, using quadratic formula we have;

x = [-(-5) ± √((-5)² - (4 * 3 * 1))]/(2 * 3)

x =  [5 ± √(25 - 12)]/6

x = (5 ± √13)/6

x = (5 + √13)/6 or (5 - √13)/6

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If Ali selects 3 cards from 5 different cards. In how many different ways can he select the three cards

Answers

Ali is picking cards, by nothing is said about an order, so we assume the order doesn't matter.

To calculate the number of ways to select the 3 cards, we can think is steps.

First, we have 5 possibilities to pick from, so we write a 5:

\(5\)

Then, we have one less option, that is, 4 options, so we multiply by 4:

\(5\cdot4\)

For the last card, we have one less option, so just 3, thus we multiply by 3:

\(5\cdot4\cdot3\)

However, this include the various different orders, but we already assumed the order doesn't matter, so we need to divide by the number of way we can permute these 3 cards, which is 3 times 2 times 1. So we can write like that:

\(\frac{5\cdot4\cdot3}{3\cdot2\cdot1}\)

Before we calculate all, we can cancel the threes and the 4 with the 2:

\(\frac{5\cdot2\cdot1}{1\cdot1\cdot1}=5\cdot2=10\)

Thus, there are 10 ways to select the cards.

NEED HELP QUICK WILL GIVE OUT 30 POINTS

NEED HELP QUICK WILL GIVE OUT 30 POINTS

Answers

4

1-

6

Step-by-step explanation:

its because i cant understand

Answer:

\(\Large \displaystyle \frac{7}{8}\)

Step-by-step explanation:

Volume = area of cross-section × height

Mixed to improper fraction

7/4 × 1/2 = 7/8

If f(x) = 3x + 2, what is f(5)?​

Answers

Answer:

f(5)= 17

Step-by-step explanation:

f(5)= 3(5)+2                  5 is taking the place of x

         15+2

f(5)= 17

Hope this helps!

What is the slope of the line represented by the equation 3x + 4y
12?

Answers

Answer:

Are you looking for coordinates or a equation?

Step-by-step explanation:

Answer:

y=-3/4x+3

Step-by-step explanation:

3x+4y=12

-3. -3

4y=-3x+12 (I put the 3x first just so that it is already in slope intercept form)

4y/4=-3x/4+12/4

y=-3/4x+3

Which could have a length of 7 inches (it’s not ray)

Which could have a length of 7 inches (its not ray)

Answers

Answer:

not point, not segment, but line

Step-by-step explanation:

Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?​

Answers

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

YOU WILL GET 30 POINTS AND BRAINLIEST IF YOU GET THIS CORRECT AND ANSWER THIS IN 5 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 3 of the recall, the manufacturer fixed 391 cars. In week 13, the manufacturer fixed 361 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week by the mechanic. f(x) = 3x + 400 f(x) = 3x + 391 f(x) = −3x + 391 f(x) = −3x + 400

Answers

Answer:

f(x)= -3x + 400

Step-by-step explanation:

\(\frac{x-x_{1} }{x_{2}-x_{1} } = \frac{y-y_{1} }{y_{2}-y_{1} }\)

\(\frac{x-3}{13-3} =\frac{y-391}{361-391}\)

-3 ( x-3 ) = (y - 391 )

-3x + 400

Answer:

he is correct

Step-by-step explanation:

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