At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat? A. 0.2x
B. x–20
C. x–0.2
D. x–0.2x
Can someone explain why is D correct ?

Answers

Answer 1

Answer:

Step-by-step explanation:

x-.20x

Lets say the hat cost $100

x=100

multiplying 100 by 20% which is .20 yields $20

S0 $20 is the discount which we subtract from the original price

100-20 and get the sale price of $80

They use a shortcut so you don't have to do the subtracting of the discount

They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount

So in this case the discount percent was 20% = .20

Subtracted from 1

1-.20=.80

Since x is the original price we multiply x by the .80 to get  

.80x


Related Questions

Correct answers only!

To the nearest cent, how much will she have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $6.62

Step-by-step explanation:

This problem is very similar to the one I answered previously. We are given our p, r, and t.

p=6 ($6)

r=0.05 (5%)

t=2 (years)

With the given information, we can plug this into the equation:

B=p(1+r)^t

B=6(1+0.05)^2

B=6.615

Our final amount is $6.62.

Let me know if there are any problems.

Freemont Run Club surveyed a random sample of 30 members about their running habit. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.
What is the most reasonable estimate for the number of Freemont Members who run more than 5 days a week

Answers

Answer:

i think its 420

Step-by-step explanation:

Does anyone know what 6.04 x 10^-3

Answers

Answer:

.00604

Step-by-step explanation:

when multiplying by a negative exponent move the decimal to the left

10^-3 move the decimal 3 spaces to left

.00604

What is the answer to this question? :)

Answers

Answer: The answer for this question is C.

Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?

Answers

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Can you please help me with this question please please help me

Answers

It’s the third one. Hope that helped!

Answer:

i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]

Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down

Answers

Answer:

up

Step-by-step explanation:

a is positive

there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/

Answers

Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?

Answers

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

[tex]a+b+c=180[/tex]

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]

Finally the second number is 4 less than the mean:

[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]

Now we have our set of equations and we can proceed to solve them:

[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]

Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:

[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]

Now taking this last result into our first equation we have:

[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]

Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]

[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]

But we know that a =70, so we can substitute it in our last line:

[tex]124=a+c\\124=70+c\\54=c[/tex]

Now we just need to find b and we can use our first original equation to do this:

[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]

solve for c. 4(3+c)+c=c+14

Answers

Answer:

c = 1/2

Step-by-step explanation:

Solve for c:

c + 4 (c + 3) = c + 14

4 (c + 3) = 4 c + 12:

4 c + 12 + c = c + 14

Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

(c + 4 c) + 12 = c + 14

c + 4 c = 5 c:

5 c + 12 = c + 14

Subtract c from both sides:

(5 c - c) + 12 = (c - c) + 14

5 c - c = 4 c:

4 c + 12 = (c - c) + 14

c - c = 0:

4 c + 12 = 14

Subtract 12 from both sides:

4 c + (12 - 12) = 14 - 12

12 - 12 = 0:

4 c = 14 - 12

14 - 12 = 2:

4 c = 2

Divide both sides of 4 c = 2 by 4:

(4 c)/4 = 2/4

4/4 = 1:

c = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

Answer: c = 1/2

30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.

Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answers

Answer:

Step-by-step explanation:

A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore

Opposite side = 2/2 = 1 yrd

Slant height, L = hypotenuse

Adjacent side = 2 yrd

Hypotenuse² = opposite side² + adjacent side²

L² = 1² + 2² = 5

L = √5 = 2.24 yrds

Slant height = 2.24 yrds

B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24

Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²

Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²

surface area of composite figure = 20 + 8.96 = 28.96 yrds²

C) volume = 1/3 × base area × height

Volume = 1/3 × 2² × 2 = 2.67 yrds³

help please!! 10 points <3

Answers

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

X=5 exactly like that person said.

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Answers

I think I don’t know sorry

Answer:

Can’t really understand your question!!

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer: 150.80 inches.

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.

An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the number of cotton balls there teacher buys

Answers

Answer:

612

Step-by-step explanation:

9 x 68 = 612

Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer

Answers

Correct question:

Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.

Answer: - 2/3

Step-by-step explanation:

Given the following :

Amount of gallon tank can hold = 10

tank drains at a constant rate :

First look tank contains 7 gallons

After 3 minute,

Tank contains 5 gallons

Thus signifies a 2 gallon decrease in volume of water after 3 minutes

Therefore, the rate of change =( change in volume) / time

Rate of change = (final volume - initial volume ) / 3

(5 - 7)/ 3 = - 2/3

Four families are travelling. Order their speeds from least to greatest.

Sapons
80 km in 2 h

Silvers
180 km in 3 h

Johns
50 km in 1 h

Cunninghams
35 km in 30 min

(please help)​

Answers

Step-by-step explanation:

We're going to convert all of these to km/h.

Sapons: 80km/2h => 40kmh

Silvers: 180km/3h => 60kmh

Johns: 50kmh

Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh

Now that they're all in the same form we can put them from least to greatest.

Answer:

(Least) - Sapons

- Johns

-Silvers

(Greatest) - Cunninghams

Find the center and radius when x^2+y^2+4x-4y=17

Answers

Answer:

the center is (-2,2) and the radius is 5

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:

[tex]x^2+4x+y^2-4y=17[/tex]

Now, you can begin to complete the square with both the x and the y:

[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]

Adding 8 to both sides and finishing the squares:

[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]

The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!

How much money was raised with the 100 tickets solved?

Answers

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.

Answers

Answer:

HAT       AM

HAM

MAT

AT

Step-by-step explanation:

(if you can repeat the letters)

THAT

hopefully this helps and i didnt miss any words

Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}

Answers

Answer:

See explanation

Step-by-step explanation:

[tex]2b^2-5b+2=0[/tex]

[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]

Hope this helps!

Write a quadratic equation to represent a function with a vertex of (-3, 2) that passes
through the point (-1,22). Put your equation in vertex form.​

Answers

Answer:

use phototmath

Step-by-step explanation:

PLEASE HELP!!!!!The table below shows the data for a random sample of fish that were collected from and later released into a lake:

Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87

How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)

148
174
244
348

Answers

Answer:B

Step-by-step explanation:

All you have to do is multiply

Select all the expressions which are equivalent to
-4/3p - 2/5

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are B and D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that are equivalent to -4/3p - 2/5 are:

-2/5 -4/3p-4/3p + (-2/5)

Hence, the correct options are B and D.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?

Answers

Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

I have Atlanta... please and thank you :)

Answers

Answer:

?

Step-by-step explanation:

Answer:

Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.

Hope this Helps :)

True or False: "What is the height of the tallest person in my class" is a statistical question

Answers

The answer is true! I hope that helped

Answer:

it is true

Step-by-step explanation:

because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.

hope this help :-)

A cookie fatory puts 1/4 of a barrel of flour into each batch of cookies.how much flour will the factory use for 5/6 batches

Answers

Answer:

3 1/3 batches

Step-by-step explanation:

you can divide 1/4 and 5/6 to find how many in each batch.

cards in a pack are black or red in the ratio black : red=2 : 5
What fraction of the cards are red?

Answers

Answer:

5/7

Step-by-step explanation:

There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.

Feel free to correct me if I'm wrong

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