A couch went on a 19% off sale. the sale price is given $972. what was the original price of the couch?

Answers

Answer 1

Answer: $1200

Step-by-step explanation:

The equation to find out the price of the couch on sale is:

972=x*0.81

(0.81 is the same as 81% or 100% - 19%)

Then this equation can be arrange to figure out x

972=x*0.81

972/0.81=x

x=1200

Answer 2

Answer:

$1200

Step-by-step explanation:

Given the following question:

A couch when on a 19% discount
The new price of the couch was 972 dollars

We are trying to find the original price of the couch. To find that answer we are going to use the formula to calculate the percentage.

19% of 1200
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{19\times1200}{100}[/tex]
[tex]19\times1200=22800[/tex]
[tex]22800\div100=228[/tex]

Now check our answer by subtracting 228 from our original price 1200:

[tex]1200-228=972[/tex]
[tex]=972[/tex]

Our original price is "$1200."

Hope this helps.


Related Questions

what is |x|-7=1 what is the answer

Answers

Answer:

it is x=8 or x=-8

Step-by-step explanation:

|x|-7=1

  +7 +7

x=8 or x=-8

i'm doing absolute value in math rn so this should be right!! have a good day

m/NMG = 46°, m/NML = 11x + 11, and m/GML = 8x-5. Find x.​

Answers

we get that, the value of x for the given angles in the diagram is 10°.

We can see that:

∠  NMG + ∠ GML = ∠ NML

Substituting the values of the angles in the equation, we get that:

46 ° + 8 x - 5° = 11 x + 11 °

Combining the like terms:

8 x + 41° = 11 x + 11°

Taking variables on one side:

11 x - 8 x = 41° - 11°

Combining the like terms again:

3 x = 30°

Divide both sides by 3:

x = 30° / 3

x = 10°

Therefore, we get that, the value of x for the given angles in the diagram is 10°.

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Your question was incomplete. Please refer the content below:

∠ NMG = 46°, ∠ NML = 11x + 11, and ∠ GML = 8x-5. Find x.​

Calculate the length of a chord of a circle of radius 26cm if the chord is 10cm from the center of the circle

Answers

Answer: see explanation

Step-by-step explanation:

The 10 cm distance is measured perpendicularly to the chord, forming a right angle and bisecting the chord. Thus half of the chord, the segment from the center of the chord, and a radius to the end of the chord form a right triangle. The hypotenuse is 26 cm and one leg is 10 cm, so the other leg is given by the Pythagorean theorem: a^2 + 10^2 = 26^2, giving a = 24 cm. Since a is half the chord, the chord is 2a = 48 cm in length.

Hence, the length of a chord of a circle is [tex]48cm[/tex].

What is the circle?

A circle is defined as a two-dimensional figure, which is round in shape where all the points on the surface of the circle are equidistant from the center point is called “[tex]P[/tex]”.

Here given that,

A circle of radius [tex]26[/tex]cm if the chord is [tex]10[/tex]cm from the center of the circle.

So,

The  [tex]10[/tex]cm from the center of the circle is perpendicular of the chord and the hypotenuse is  [tex]26[/tex]cm .

As we know

[tex]H^2=B^2+P^2[/tex]    .......[tex](1)[/tex]

Substituting the values in the equation [tex](1)[/tex], we get

[tex](26)^2=(10)^2+B^2\\B^2=676-100\\B^2=576\\B=\sqrt{576}\\B=24cm[/tex]

Hence, the length of a chord of a circle is [tex]48cm[/tex].

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two cars travel the same distance car one travels at 50 mph and car 2 at 65 mph if it takes car 1 one more hour to travel than car two how far did the cars travel

Answers

rt=rt because d[1]=d[2]
50(t+1)=65t
50t+50=65t
15t=50
t=10/3=3:20
65 * 10/3 = 216 2/3 mi. Distance they traveled.

There are 15 floors of an office building each floor is 10 2/5 feet tall 24 9/10 feet of the building are completed 1 1/4 feet of the building can be finished each day how many days are needed to complete the building

Answers

The days it would take to complete the building is 104 22/25 days.

How many days would it take to complete the building?

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/4.

A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a non-integer in which the numerator is less than the denominator. An example of a mixed number is 3 1/2.

The first step is to determine the total height of the office bulding = height of each floor x total number of floors

15 x 10 2/5

15 x 52/5 = 780 /5 = 156

The next step is to determine the floors left to complete the office building :

156 - 24 9/10 = 131 1/10 feet

The last step is to divide the feet that can be built each day by the number of floors needed to complete the builfing :

1311/10 ÷ 1 1/4

1311 / 110 ÷ 5/4

1311 / 10 x 4/5 = 104 days 44/50

104 22/25 days

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There are 35 students in a class. Fifteen of them are men and 20 of them are women. The mean height of the men is 69.65 inches, and the mean height of all 35 students is 66.85 inches. What is the mean height of the women?​

Answers

Answer:

64.75

Step-by-step explanation:

The total heights of men is m

so m/15 = 69.65 => m = 1044.75

The total heights of all students is s

so s/35 = 66.85 => s = 2339.75

so the total heights of women = 2339.75 - 1044.75 = 1295

The mean height of women = 1295/20 = 64.75

Pls answer this question

Answers

Answer: 1/4

Step-by-step explanation:

The easiest way to solve this is to make them all common denominators.

The common denominator for this problem is 24.

Change the denominators:

1/4  = 6/24

4/12 = 8/24

3/8 = 9/24

2/6 = 8/24

This way it is easier to see which one is smaller and closest to 0. In this case, it is 6/24 or 1/4 because 6/24 is the smallest out of all of them.

i will give brianliest to however gets it right

Answers

You would do 7a-3a which would equal to 4a then 14-9=5 so therefore 4a+5

9. Your family is looking for a new Internet company. Comcast has a $50 installation fee
and $60 per month for Internet. Centurylink has no installation fee and $60 per month.
Your grandparents decide to register with Comcast the sametime your family registers
with Centurylink. At what month will your family pay the same as your grandparents?

Answers

Answer:

in the heaven or hell hhhvgvcgdgghh

Could you show the work so I can learn? Thank you!

Answers

Answer:

38363

Step-by-step explanation:

I think the answer is D

|3x|-4=2x-4 Solve for x

Answers

Answer:

Your answer is x=0

If LM = 22 and MN = 15, find LK

Answers

If LMK is a triangle, then LK should be 143

Suppose the spinner shown to the right is spun once, to determine a single-digit number, and we
are interested in the event E that the resulting number is even. Give each of the following.
(a) the sample space
(b) the number of favorable outcomes
(c) the number of unfavorable outcomes
(d) the total number of possible outcomes
(e) the probability of an even number
(f) the odds in favor of an even number

Answers

The sample space for the event is given by {2,3,4}

The sample space is a collection of all possible outcomes of an experiment. The sample space is used in probability where the it represents all possible outcomes.

a) In the spinner there are only three possibilities.

The sample space is represented by  {2,3,4} .

b)The favorable outcomes in this case is  2 and 4.

Hence the number of favorable outcome is 2.

c)There is only 1 unfavorable outcome which is 3.

d)The total number of possible outcomes is 3 , as we see in the sample space there are 3 numbers.

e)The probability is defined as the fraction of favorable outcome to the

total number of outcome. Therefore the probability in this case is given

by  [tex]P(even)=\frac{2}{3}[/tex]

f) The ratio of the number of possible outcomes to the number of possible outcomes that do not occur is known as the odds in favor.

Therefore odds in favor = 2:1

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ANSWER RIGHT AWAY PLEASE!
question one: simply the exponents. (show your work)
- 21^0 = ?
- (2/3)^-2 = ?
question two: Solve the problem. (leave your answer as a base number with an exponent and show your work)
- 4^6 / 4^2 = ?
question three: Convert the number into numerical form. (show your work)
- 8.723 x 10^-10 = ?
question four: Solve the problem. (leave your answer in scientific notion and show your work)
- 5.1 x 10^8 - 2.3 x 10^3 = ?
- 6 x 10^5 x 1.1 x 10^7 = ?

PLEASE ANSWER I WILL GIVE 100 POINTS TO ANYONE WHO ANSWERS AND MARK BRAINLIEST AT LEAST ANSWER THE ONES YOU KNOW

Answers

Answer:

1. 1, 9/4

2. 4^4

3. -0.0000000008723

4. -5100023*10^2, -6.6*10^(12)

Step-by-step explanation:

[tex]21^0 = 1;\ n^0\ always\ is\ 1.\\(\frac{2}{3})^{-2} = (\frac{3}{2})^2 = \frac{3^2}{2^2} = \frac{9}{4}; n^m\ is\ performed\ by\ doing\ n*n,\ m\ times.\\i.e.,\\ n^2=n*n;\\n^3=n*n*n;\\ n^4=n*n*n*n\\\\\frac{4^6}{4^2};\ original\\\\\frac{(4^2)^3}{4^2};\ (n^{mc}\ can\ be\ rewritten\ as\ (n^m)^c\\\\\frac{4^2}{4^2}*\frac{(4^2)^2}{1};\ split\ the\ fraction\ into\ two\ parts\ because\ of\ multiplication\ rules.\\\\1*4^4;\ \frac{n}{n}\ can\ be\ written\ as\ 1.\ \frac{n}{1}\ can\ be\ written\ as\ n.\\\\4^4[/tex]

Technically, [tex]4^4[/tex] is 256, but the answer is requested as a number with an exponent.

-8.723 * 10^-10 would be -0.0000000008723.

10^-10 = [tex]\frac{1}{10^{10}}[/tex], which would mean you must move your decimal left by the number of places indicated by the exponent.

[tex]-5.1*10^8-2.3*10^3 = x\\-51*10^7-23*10^2 = x\\10^7=10^{5+2}=10^5*10^2\\-5100000*10^2-23*10^2=x\\-5100023*10^2=x;\ combine\ like\ terms.\\-6*10^5 * 1.1*10^7 = x\\-6*1.1*10^5*10^7;\ rewrite\ for\ simplification.\\-6.6*10^{12}=x[/tex]

Is the slope of a linear demand curve positive or nega-
tive?

Answers

The slope of a linear demand curve is negative

The demand curve's negative slope indicates that there is an inverse link between price and demand.

It is true that the demand curve's negative slope indicates an inverse link between price and quantity desired. According to the demand curve, demand declines as prices increase and rises as prices decrease.

This statement is false since it only applies to Giffen products, where the demand curve has a positive slope and a direct correlation between price and quantity desired.

Because unit requests rise when prices decrease and decline when prices rise, the demand curve often slopes downward (i.e., is negative). Demand increases when prices are low, but demand decreases when prices are high.

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One integer is selected at random from integers 8 through 38. Find the probability that the number is odd

Answers

Answer: 0.48387

Step-by-step explanation:

Solution set = {9,11,13,15,17,19,21,23,25,27,29,31,33,35,37}

Sample Set = {8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38}

out of the 31 numbers, 15 are odd

15/31 = 0.48387 probability.

What kind of numbers are −5 and 7?

Answers

-5 and 7 are real and rational numbers also they are integers.

What is  a rational number ?

Numbers which can be written in the form of p/q are rational numbers where q must not be zero.

According to the given question we have to determine what kind of numbers are -5 and 7.

In a most simple way we can say that - 5 is an negative integer and 7 is a positive integer.

But -5 can be written as -5/1 which is a rational number also and 7 can also be written as 7/1 so we can also say they are integers al well as rational numbers.Lastly they are real numbers as they don't have any imaginary part 'i' in it.

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Which expression has the same value as 4^2 - 6 x 2?
A. 1 - 8^0 + 2^2
B. 3^2 x 6^-2
C. 10 - 3 x 2 + 4^1

Answers

The expression which has the same value as the given expression; 4² - 6 × 2 among the answer choices is; Choice C; 10 - 3 x 2 + 4¹.

Which expression has the same value as the given expression?

According to the task content; the given expression whose equivalent is to be determined is;

Given;

4² -6 ×2.

It follows from PEMDAS that the exponent should be evaluated and then the multiplication.

Hence, the value of the expression is; 16 - 8

= 8.

For answer choice C, which is correct, the evaluation is as follows;

10 - 3 × 2 + 4¹

= 10 -6 + 4

= 8.

Ultimately, choice C has the same value as the given expression.

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A company produces a logic board for computers. The annual fixed cost for the board is $323,902, and the variable
cost is $109 per board. If the logic board sells for $479, write an inequality that gives the number of logic boards that
will give a profit for the product.
Write the linear inequality?

Answers

The inequality that give the number of logic boards that will give a profit for the product is profit = x($479-$109)-$323,902.

Given that, a company produces a logic board for computers. The annual fixed cost for the board is $323,902, and the variable cost is $109 per board. So, we have to write an inequality which will gives the number of logic boards that will give a profit for the product, if the logic board sells for $479.

We simply use the formula that,

profit + annual fixed cost = number of logic board sold x (logic board sales price-variable cost of logic board)

Let the number of logic board sold be x.

profit + $323,902 = x($479-$109)

profit = x($479-$109)-$323,902

Therefore, we can denote the above listed information in profit = x($479-$109)-$323,902 term. This is the required answer.

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125 tickets at $6 and $10 were sold for $1,022. How many $6 tickets and how many $10 tickets were sold?

Answers

Answer:

This is the answer :20 5/6 and 102.2

In the question it states the first answer which is, 125 tickets were sold for $6.For the second question divide the total money by the cost.
:1022/10
:102.2
So the answer to the second question is 102.2 or 102 (rounded).

Six friends each use $2-off coupons to but themselves a movie ticket. They spend a total of $42. What is the price of one movie ticket without coupon?

Answers

Modelling the situation, it is found the price of the ticket without the coupon is of $9 when all the six friends spent $ 42 to buy the tickets.

Total money spent by 6 friends on purchasing of the movie tickets = $ 42

So, the money spent for the purchase of 1 ticket will be calculated by dividing the $ 42 by 6.

So, cost of 1 ticket = 4 42 / 6 = $ 7

Coupon is of $2-off.

This means that with the coupon, $2 is subtracted from the ticket price.

So, price of ticket will be = $ 7 + $ 2 = $ 9.

Therefore, the price of the ticket without the coupons will be $ 9.

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PLEASE HELP ME TY!!!!!!

Answers

Answer:

3.82×10^7

Step-by-step explanation:

3.82e+7= 3.82×10^7

Answer is 38200000

Step by step

3.82 x 10^7

Change from scientific to standard form

This is a positive power of 10 so your decimal will go to the right 7 places

3.82 to
38200000.

If the power of 10 was a negative, you move the decimal to the left creating a decimal number less than 1

You decide you need a new computer. The cost of the computer is $864. However, the store also offers a rent to own option which will cost $41 per week for 24 weeksHow much more will the rent to own option cost after you have made all of the payments? $

Answers

The rent option will cost 120 more dollars than the outright cost of the computer .

How to find how much more the rent to own option cost?

The outright cost of the computer is $864.

The store also offers a rent to own option which will cost $41 per week for 24 weeks.

Therefore, the total cost for the rent option is as follows:

cost of the computer for rent option = 41 × 24

cost of the computer for rent option = 984 dollars

Therefore,

difference in cost = 984  - 864

difference in cost = 120 dollars

Therefore, the rent option will cost 120 more dollars than the outright cost of the computer.

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. Compare the value of the 4's in this number
64,432
Write your statement

Answers

The 4 on the right is 10 times larger than the 4 on the left! (=^.^=)

Un terreno tiene 205 metros y cada metro cuesta 315 cuánto vale el terreno

Answers

Answer:

64,765

Step-by-step explanation:

multiplicas porque dice que uno cuesta 315 entonces si hay 205 hay 64,765

How many even 2 digit positive integers can be written using the numbers 2,4,5,8

Answers

Answer: 12 different even 2 digit positive numbers can be witten

Step-by-step explanation:

the even numbers are 44, 24, 54, 84, 22, 42, 52, 82, 28, 48, 58, 88

Alfonso borrowed $2500 total from two different banks. One bank charged 4% simple interest, the other charged 3.5% simple interest. After one year, the amount of interest that Alfonso owed was $91.25. How much money did Alfonso borrow from each bank.

Answers

Alfonso borrowed $750 from the bank with 4% simple interest and borrowed $1,750 from the bank with 3.5% simple interest.

How do we calculate the amount borrowed?

Let:

x = amount borrowed from the bank that charged 4% simple interest

y = amount borrowed from the bank that charged 3.5% simple interest

Therefore, we have:

x + y = 2,500 ............................... (1)

0.04x + 0.035y = 91.25 ............................. (2)

From equation (1), we have:

x = 2,500 - y ....................... (3)

Substituting equation (3) into (2) and solving for y, we have:

0.04(2,500 - y) + 0.035y = 91.25

100 - 0.04y + 0.035y = 91.25

100 - 0.005y = 91.25

-0.005y = 91.25 - 100

-0.005y = -8.75

y = -8.75 / -0.005

y = $1,750

Substituting for y in equation (3), we have;

x = 2,500 - 1,750

x = $750

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Find the volume generated by rotating the given region about the specified line. I tried it 4 different times and have 1 try left! Please help only if you're sure of how to do it

Answers

Using integrals, the volume generated by rotating the given region about the specified line is of 0.8π cubic units.

How to use integrals to find the volume of a curve?

Rotating a function f(x) around a function g(x), the volume is given by the following integral:

[tex]V = \pi \int_{a}^{b}[f(x) - g(x)]^2 dx[/tex]

In which a and b are the intersection points of the curve.

For this problem, from the graph, we have that:

[tex]f(x) = 2\sqrt[4]{x}[/tex].g(x) = 2x.a = 0.b = 1.

Hence:

[tex]V = \pi \int_{0}^{1}[2\sqrt[4]{x} - 2x]^2 dx[/tex]

[tex]V = \pi [\int_{0}^{1} 4\sqrt{x} - 8x\sqrt{x} + 4x^2 dx][/tex]

[tex]V = \pi \left[\frac{8}{3}x^{\frac{3}{2}} - \frac{16}{5}x^{\frac{5}{2}} + \frac{4}{3}x^3}\right]_{x=0}^{x=1}[/tex]

[tex]V = \pi \left[\frac{8}{3} - \frac{16}{5} + \frac{4}{3}\right][/tex]

[tex]V = \pi \left[4 - \frac{16}{5}\right][/tex]

[tex]V = \frac{4\pi}{5}[/tex]

V = 0.8π cubic units.

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Use the graph of the line to answer the questions. what is an equation of the line in slope-point form? _____
How can the point-slope form be written in function notation?
_______

Answers

The slope-point form is y + 1 = (1/4) (x +2)

The function notation for the point-slope form is f(x) = -1 + (1/4) (x +2)

From the graph, we get two points (x₁, y₁) = (-2, -1) and (x₂, y₂) = (2,0)

Slope, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

               = [tex]\frac{0 --1}{2--2}[/tex]

               = 1/4

The slope-point form of a line is (y-y₁) = m(x-x₁), where (x, y) is the general point on the line, (x₁, y₁) is a given point on the line and m, the slope of the line.

So here the slope-point form of the line is,

(y- -1) = 1/4(x- -2)

y + 1 = (1/4) (x +2)

For the function notation, we put y = f(x) simply and write it as,

f(x) = -1 + (1/4) (x +2)

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the first one is c

the second is B

Step-by-step explanation:

somebody please help me

Answers

Answer:

4

Step-by-step explanation:

[tex] \frac{(2 {)}^{3}(2 {)}^{4} }{(2 {)}^{5} } [/tex]

→[tex] {2}^{3 + 4 + 5} [/tex]

→[tex] {2}^{2} = 4[/tex]

Hope it helps

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