Problem:
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On Tuesday, a radio store reduces all of its prices by 20% from what they were on Monday.
On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price,
then by what percentage did the store reduce its prices from Tuesday to Wednesday?

Answers

Answer 1

Answer/Step-by-step explanation:

Call Monday's price, P

Tuesday's price must just be .80P   [ 20% reduction]

Call Wednesday's price reduction ( 1 - R)

So...we have that

Tuesday's price  *  Wednesday's reduction  = (1/2)P

(.80)P  *( 1 - R)  = (1/2)P    divide through by  P  and note that 1/2  = .50

.80 (1 - R)  = .50        divide both sides by .80

1 - R  =  .50/.80

1 - R  = 5/8

1 - 5/8 = R

3/8   = R = .375  = 37.5%  = the reduction from Tues. to Wed.

Proof of this...let Monday's price  = 100

Tuesdays price  = .80 * 100   = 80

Wed price  = 80 (1 - R)  = 80 (1 - .375)  = 50 =  half of  Mon. price


Related Questions

What is the solution to the following equation? Show all work.
3(x+2)-2x =-2(x-3)+3x
(1) No Solutions
(3) x=2
(2) Infinite Solutions
(4) x=-3

Answers

Answer:

No solutions

Step-by-step explanation:

I hope my answer help you.

Two cyclists start from 98 miles apart and begin racing toward each
other. Three hours later, they have not yet met and the distance between
them is 2 miles. How fast is each of them biking if one bikes 3 mph
slower than the other?

Answers

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

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please help me solve this thank uuu

Answers

Answer:

Same Side Interior Angles

Step-by-step explanation:

Angle 7 and angle 14 are both inside of the two transversal lines E and M, and are on the same side of the line Q, making them both same side interior angles

-Chetan K

If y=6 when x=2 over 3 find x when y=12

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.

(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).

Hope this helped :)

What is 300251 take away 21596 what round it to the highest place value then subtract​

Answers

we need to subtract

[tex]\\ \sf\longmapsto 300251-21596[/tex]

[tex]\\ \sf\longmapsto 278655[/tex]

Now let's round up

[tex]\\ \sf\longmapsto 278700[/tex]

[tex]\\ \sf\longmapsto 279000[/tex]

[tex]\\ \sf\longmapsto 280000[/tex]

[tex]\\ \bf\longmapsto 300000[/tex]

The points ​(​18,21​) and ​(42,​49​) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

Answers

Answer: 5/2

Step-by-step explanation: 49 - 42/ 21 - 18

3(6k+5)+3(6k+4
The expression has to be equivalent.

Answers

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

Solve √3x+4−2=3

The square root covers the 4 but not the -2

Answers

Solution:

[tex] \sqrt{3} x + 4 - 2 = 3 \\ = > \sqrt{3} x = 3 - 4 + 2 \\ = > \sqrt{3} x = 1 \\ = > x = \frac{1}{ \sqrt{3} } \\rationalising \: \: \: the \: \: \: denominator \\ = > x = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > x = \frac{ \sqrt{3} }{3} \\ [/tex]

Answer:

[tex] \frac{ \sqrt{3} }{3} [/tex]

Answer: x = 7

Step-by-step explanation:

[tex]\sqrt{3x+4}=3+2[/tex]

[tex]\sqrt{3x+4}=5[/tex]

[tex]3x+4 =25[/tex]

[tex]3x = 21[/tex]

[tex]x=7[/tex]

Please give me a brainliest answer

Can someone please help me with this I really need help.

Answers

Answer:

The angle mPQO is 86°

Step-by-step explanation:

123°-37°

The values for three different sets of data are shown below.

Data
Data Set
Values
1
52, 55, 59, 53, 50
2
40, 49, 43, 42, 90, 38
3
24, 30, 26, 31, 40, 26

Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 2 and 3 have an even number of values.
Set 1 has the least number of values.
Sets 2 and 3 contain outliers.
Set 1 contains an outlier.

Answers

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

It is c

Step-by-step explanation:

please help on 6 and 7 !!

Answers

Answer:

, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2

Step-by-step explanation:

Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3

Kbudwigwivsus8hd3ib3idhkdwvdjwbi3bxoxhk2xv2ixb2ibx83dh82hd3uvdusv0u2vdodvpu2vu2dbi3dvdhddhdug2d

Hdib3ibddbidb8hf

Jf3ihdi2hdh2odn3foj3fohf8echwdvdih2d8hf28hfi2dhpuvdudb2i3hdif3hidi2dbi2dbdhihdi3bdi3bdebx9dgdibiwvdv2usb3ibxi2gdnodiv2uvdk3bdib3d3idvjb3dk2bdkvxkbwjbxw

Iwdgid2bi2bvvz

Jdi3hi3dhi3dboefb3idbibf8e

3idbihi2hdowdndiwb

Whdkwdbkei3fh

Xhwoxbeifiebc

Oejfoefbo3nf

What is the number 18 written in a+bi form

Answers

Answer:

Step-by-step explanation:To see that

i

18

=

1

note that

i

1

=

1

i

0

=

1

i

1

=

1

1

i

2

=

1

1

=

1

i

18

=

(

i

2

)

9

=

(

1

)

9

=

1

The number 18 in the form of complex numbers will be written as 18 + 0i.

What are complex numbers?

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.

The given number is 18. The number in the form of a complex number can be written as:-

Complex number =  a + bi

Complex number =  18 + 0i

Therefore, the number 18 in the form of complex numbers will be written as 18 + 0i.

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CAN SOMEONE PLZ HELP WITH 6 I WILL MARK YOU BRAINLIEST!!!!!

Answers

Answer: I dont see anything....

Step-by-step explanation:

what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )

Answers

Step-by-step explanation:

y = 3x - 6

the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -1/3.

the equation for the perpendicular line looks like this then :

y = (-1/3)×x + b

to get b we use the provided point and it's x and y values.

6 = (-1/3)×-3 + b = 1 + b

b = 5

so, the full equation of the perpendicular line is

y = (-1/3)×x + 5

What is the answer to (66*47)+(85*68)=t?
?

Answers

Answer:3102+5780=8882

Step-by-step explanation:

PLEASE HELP ME!!!
I need this ASAP please

Answers

8 and 6

20:8 and x:6

ask urself: what is the scale factor?

[tex]20:8 = \frac{20}{8} = 2.5\\so, multiply 6 by 2.5, which is 15\\therefore, x = 15[/tex]

help me pls asap!!!!!

Answers

The 4 pack , 1 pack =0.51

The 9 pack, 1 pack = 0.52

The 4 pack is better because it's cheaper

A stack of 30 science flashcards includes a review card for each of the
following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?

Answers

unlikely but possible. there’s more trees, flowers and birds cards altogether rather than the 10 insect cards
20:10 that doesn’t give it a good chance of getting picked.

The probability of randomly selecting an insect is 2/15.

What is probability?

It is a measure of happening or non happening of the outcomes of a random experiment.

Formula for probability

P(E) = number of favorable outcomes/Total number of outcomes

Where, P(E) is the probability of any event.

Let E be an event of selecting an insect.

According to the given question

We have

Total number of insects = 10

Total number of trees = 8

Total number of flowers = 8

Total number of birds = 4

Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30

Total number of favorable outcomes = 4

Therefore,

The probability of selecting an insect = [tex]\frac{4}{30} =\frac{2}{15}[/tex]

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Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?

A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.

Answers

[tex]\huge\mathtt\colorbox{white}{D}[/tex]

By definition, two vectors are equal if and only if they have the same magnitude in the same direction.

[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]

Solve for x step by step: -4=v/20-5

Answers

Answer:

WALA PO AKONG ALAM SA MATH EHH HEHEH

Please help me out. Last question I have to finish !!!

Answers

105 people

I hope this helps I would appreciate brainliest if possible :)

Answer:

okay so 105 x 37 = 3885 + 80 + 3965 Which is the max within there budget

Step-by-step explanation:

so your answer is 105

What is the product?
(3x-6)(2x2-7x+1)
0 -12x2+42x-6
0-12X2 +21x+6
6x3-33x2+45x-6
O 6x3 - 27x2-39x+6

Answers

Answer6x3-33x2+45x-6

Step-by-step explanation:

The product of polynomials is 6x³-33x²+45x-6. Therefore, option C is the correct answer.

What is product of polynomials?

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

Given that, (3x-6)(2x²-7x+1).

By using distributive property, we get

3x(2x²-7x+1)-6(2x²-7x+1)

= 6x³-21x²+3x-12x²+42x-6

= 6x³-21x²-12x²+3x+42x-6

= 6x³-33x²+45x-6

Therefore, option C is the correct answer.

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Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.

Answers

Answer:

its equals 30 cubic units

Happy To Help :)  Pls mark brainliest

Step-by-step explanation:

Find the area of this triangle.

Answers

Answer:

84 cm²

Step-by-step explanation:

Area triangle = 1/2(b x h)

Area = 1/2(21 x 8)

Area = 1/2(168)

Area = 84

84 cm²

-Chetan K

if you are struggling for math download the fastmath app on your moblie phone then scan the eqation to get a answer fast. also you can find the steps to help undersatnd

Answers

Answer:

thank you :) for the points

Answer:

Thanks

Step-by-step explanation:

A stray dog ate 4 of your muffins. That was 2/9 of all of them! How many are left?

Answers

Answer:

14muffins are left. please give brainliest

Step-by-step explanation:

so first we need to figure out how many there are in total so if 4 muffins is 2/9 so every 2 muffins is 1/9 so we need 9x2 wich is 18 so there are 18 muffins in total but the stray dog ate 4 of them so 18-4 is 14 so the answer is 14muffins are left.

Solve for x: x - 10 = -12

Answers

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

[tex]\boxed {\sf x=-2}[/tex]

Step-by-step explanation:

[tex]\sf x - 10 = -12[/tex]

[tex]\boxed{\mathrm{Add\:}10\mathrm{\:to\:both\:sides}}[/tex]

[tex]\sf x-10+10=-12+10[/tex]

[tex]\sf x=-2[/tex]

__________________

Please help! And give explanation please

Answers

Answer:

the answer is option D

Step-by-step explanation:

if you add the no of students in favour of the survey

32+42+58+64=192

which makes the first option incorrect.

The opinion of tenth and eleventh graders are not identical.

11th and 12th graders gave a favourable response

so options A,B and C are incorrect

Saved
Question 11 (5 points)
What's 21-91 - 1-21?
O A) -20
B) 16
C) 20
D) -18
Any one know the answer I don’t know it

Answers

Its D. -18 hope this helps :D

The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100-meter hill, plunges them down 72 meters, and quickly takes them back up a 48-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?

HELP ME PLEASE!!!!

Answers

100-meter rise, 72-meter descent followed by a 48-meter rise

100-72+48 = 76

after these 20 seconds, they are 76 meters higher than at the start of the ride

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