find the cost price of an article which is sold for #31,960 at a loss of 6%​

Answers

Answer 1

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 31960}}{\left( \cfrac{6}{100} \right)31960}\implies 1917.6~\hfill \underset{cost~price}{\stackrel{31960-1917.6}{30042.4}}[/tex]


Related Questions

What is the difference between confidence level and confidence interval.

Answers

Answer:

The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.

Divide using long division.
-15x3 + 37x2 - 8x - 6/3x-5

Answers

[tex]{\pmb{\bf{Refer \: to \: the \: attachment \: :D}}}[/tex]

A mixture contains ninety-two ounces of glycol and water and is forty-five percent glycol. If the mixture is to be weakened to thirty percent, how much water must be added?

Answers

Answer:

The original mixture contains 41.4 ounces of glycol. for this to be 30 percent of the mixture, the total mixture must be 138 ounces, so 46 ounces of water must be added.

Explain how you can convert a decimal that terminates after three decimal places to a fraction.​

Answers

Answer:

First, let's just pick an arbitrary number as an example 7.031.

the 1 is in the thousandth place, so we can represent this as [tex]7\frac{31}{1000}[/tex].

This is so because determining what denominator of a decimal number is can be known through what non-zero digits is on the right-most side of the number.

Step-by-step explanation:

Answer:

The third digit after a decimal point is in the "thousandth" place.

Therefore, to convert a decimal that terminates after three decimal places to a fraction, simply write the digits (without leading zeros) as the numerator and 1000 as the denominator.

For example:

[tex]12.345=\dfrac{12345}{1000}[/tex]

[tex]0.932=\dfrac{932}{1000}[/tex]

Consider an experiment in which the letters "A"
"L"
and "P" are written on 3 separate
slips of paper and placed in a box. Three slips are then drawn randomly one at a time, without
replacement, and the letters appearing on the ships are written down from left to right in the order in
which they are drawn.
Write out the sample space of possible arrangements. After writing the sample
space, what is the probability that the word "PAL" is NOT formed?

Answers

0.2 iis the answer you are loooking for when you say pal is not formed

Find the commission.
Earning Commission
Sales Commision Rate Commission
$540
5%
?
The commission is $
$

Answers

Answer:

The answer is $27

Step-by-step explanation:

540 x .05 = 27

Take the commission rate and move the decimal over to the left twice.

Then you multiply it by the sale price.

Convert fraction to equaivlent
17
__
6

Answers

Answer:

[tex]\frac{34}{12}[/tex] , [tex]\frac{51}{18}[/tex] , [tex]\frac{68}{24}[/tex] , [tex]\frac{85}{30}[/tex]

some equivalent fraction examples of [tex]\frac{17}{6}[/tex]:

[tex]\dfrac{17}{6} *\dfrac{2}{2} = \dfrac{34}{12}[/tex]

[tex]\dfrac{17}{6} *\dfrac{3}{3} = \dfrac{51}{18}[/tex]

[tex]\dfrac{17}{6} *\dfrac{4}{4} = \dfrac{68}{24}[/tex]

[tex]\dfrac{17}{6} *\dfrac{5}{5} = \dfrac{85}{30}[/tex]

Therefore the equivalent fractions are [tex]\frac{34}{12}[/tex] , [tex]\frac{51}{18}[/tex] , [tex]\frac{68}{24}[/tex] , [tex]\frac{85}{30}[/tex]

What formula is used for calculating volumes of liquids?.

Answers

Length x Width x Amount Filled

use the elimination method to solve the system of equations. choose the correct ordered pair
x + y = 3
y = 9

Answers

Answer:

(-6,9)

Step-by-step explanation:

x + y = 3

0 + y = 9

We can subtract the two equations.

(x-0) + (y-y) = (3-9)

x=-6

y=9

(-6,9)

Solve one ninth divided by eight by rewriting the division problem as a multiplication problem.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{9}[/tex] ÷ 8

= [tex]\frac{1}{9}[/tex] * [tex]\frac{1}{8}[/tex]

= [tex]\frac{1}{9*8}[/tex]

= [tex]\frac{1}{72}[/tex]

One ninth means 1/9

Now

[tex]\\ \rm\rightarrowtail 1/9\div (8)[/tex]

[tex]\\ \rm\rightarrowtail 1/9(1/8)[/tex]

[tex]\\ \rm\rightarrowtail 1/72[/tex]

Done

what is x in the equation 2x+5=31

Answers

Answer:

2x+5=31

2x=31-5

2x/2=26/2

x=13

Answer:

X = 13

Step-by-step explanation:

[tex]2x+5=31 \\ 2x = 31 - 5 \\ x = \frac{31 - 5}{2} \\ x = \frac{26}{2} \\ x = 13[/tex]

What set of numbers are shaded on the hundred chart?
hundred chart with 12, 24, 36, 48, 60, 72, 84, and 96 shaded
Choose 1 answer:

(Choice A)
A
Only the factors of 12

(Choice B)
B
Only the multiples of 12

(Choice C)
C
Only the factors of 8

(Choice D)
D
Only the multiples of 8

Answers

Answer:

Is letter B the correct one.

Step-by-step explanation:

If you take that 12 and then multiply it x1, x2, x3, x4, x5, x6, x7 and x8 you will get the numbers in the Chart.

PLEASSEEE ANSWERRR

Consider the following figure where △ABC ~ △DBE.

Triangle A B C contains two points and a horizontal line segment.
The left side of the triangle starts at vertex A, travels up and to the right, and ends at vertex B.
The right side of the triangle starts at vertex B, travels down and to the right, and ends at vertex C.
The bottom side of the triangle is horizontal, starts at vertex A on the left, and ends at vertex C on the right.
Point D is located on side A B but is closer to A than B.
Point E is located on side B C but is closer to C than B.
The horizontal line segment extends from point D and ends at point E.
Given:
CB = 12, CE = 2, AD = 5
Find:
DB
(Hint: Let DB = x, and solve an equation).

Answers

Answer: 25

Step-by-step explanation:

The box plots show the math scores of students in two different classes:



Based on the box plots, which statement is correct? (4 points)
The median score of Class A is greater than the median score of Class B.
The lower quartile of Class A is greater than the lower quartile of Class B.
The upper quartile of Class A is greater than the upper quartile of Class B.
The maximum score of Class A is greater than the maximum score of Class B.

Answers

Answer:

1st statement

Step-by-step explanation:

The line inside the box is the median.
Since in Class A the median line is on around 80 whilst Class B's median is 75.

So Median of

Class A > Class B

Roberto said, "I'm thinking of a fraction that is equivalent to 3/9. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and denominator in the bottom blank space.

Answers

Answer:

1/3 because 1 is 2 less than 3 and the denominator which is the bottom of a fraction is 2 more so the answer again is 1/3

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.


Fill in the blank so that the ordered pair is a solution of y = 9x – 9.
( __ ,63)

Answers

Answer:

(8, 63)

Step-by-step explanation:

Substitute 63 for y and solve for x. x =8.

To make 100g of jam you need 41g of strawberries, 13g of blackberries and the rest should be sugar. What is the ratio of blackberries to sugar? Give your answer in its simplest form.

Answers

Answer:

13 : 46

Step-by-step explanation:

First, find amount of sugar.

= 100 - 41 - 13

= 100 - 54

= 46

Blackberries : Sugar

= 13 : 46

Answer:

13 : 46

Step-by-step explanation:

amount of sugar required = 100 - 41 - 13 = 100 - 54 = 46 g

ratio of blackberries : sugar = 13 : 46

Please Help!!! All my points are on this.

The graph of a sinusoidal function has a maximum point at (0,10) and then intersects its midline at (π/4,4). Write the formula of the function, where x is entered in radians.

F(x) =

Answers

Answer:

y = 6 sin(2x+π/2) +4

Step-by-step explanation:

Given:

-sinusoidal function

-maximum point at (0,10)

-intersects its midline at (π/4,4)

Build the function:

y = sin x , we start with this because is a sinusoidal function

y = sin (x+ π/2), to move the maximum on the y-axis where x= 0

y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need

y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to  a (π/4, 4)

y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6

 The first figure is dilated  two from the second figure 0.6 1.5

Answers

The second image is larger so the scale needs to be larger than 1.


to find the scale divide the larger k own side by the smaller similar side:


1.5/0.6 = 2.5

The scale factor is 2.5

13. 6 + 10 + 14 + ... + 38
Find the sum of the arithmetic series

Answers

Answer:

The sum of the series = 198.

Step-by-step explanation:

In the given arithmetic series,

The first term (a) = 6Common difference (d) = (aₙ – aₙ₋₁) = 10 - 6 = 4Last term (aₙ) = 38

To find the sum of the series, we need to find the number of terms (n) at first. So,

[tex]a_{n} = a + (n - 1)d\\38 = 6 + (n - 1) 4\\38 - 6 = 4n - 4\\32 = 4n - 4\\32 + 4 = 4n\\36 = 4n\\36 \div 4 = n\\\boxed{9 = n}[/tex]

Now, let's find the sum of the arithmetic series (Sₙ).

[tex]S_{n} = \frac{n}{2} [2a + (n - 1)d]\\S_{n} = \frac{9}{2} [2*6 + (9 -1)4]\\S_{n} = \frac{9}{2} [12+ (8*4)]\\S_{n} = \frac{9}{2} [12+ 32]\\S_{n} = \frac{9}{2} (44)\\S_{n} = 9*22\\\boxed{S_{n} = 198}[/tex]

The sum of the series = 198.

_______________

Hope it helps!

[tex]\mathfrak{Lucazz}[/tex]

Please help me with this math problem!! It's due tonight!! :)

Answers

Answer:

x = 7

Step-by-step explanation:

5x - 1 + 8x + 5 = 95

13x + 4 = 95

13x = 91

x = 7

♪Answer :

Triangle in 95° so x is

»8x + 5° + 5x - 1° = 95°

»13x + 4° = 95°

»13x = 91°

»x = 91°/13

»x = 7°

the equation of a function is y=2\3x +1\3 find
a] the value of y when'
i] x=-3 ii] x=1 1\2
b] the value of x when
i] y=1 ii] y=-1\6
please help me solve this equation asap i have 100 marks exam tommorow!

Answers

Answer:

a) i) y = - 5/3

  ii) y = 4/3

b) i) x = 1

   ii) x = -3/4

Step-by-step explanation:

[tex]y=\dfrac23x +\dfrac13[/tex]

a) i) [tex]x=-3[/tex]

[tex]\implies y=\dfrac23(-3) +\dfrac13\\\\\\\implies y=\dfrac{-6}{3} +\dfrac13\\\\\\\implies y=\dfrac{1-6}{3} \\\\\\\implies y=-\dfrac53[/tex]

ii) [tex]x=1\frac12=\dfrac32[/tex]

[tex]\implies y=\dfrac23\left(\dfrac32\right) +\dfrac13\\\\\\\implies y=\dfrac{6}{6}+\dfrac13\\\\\\\implies y=\dfrac{3}{3}+\dfrac13\\\\\\\implies y=\dfrac{3+1}{3}\\\\\\\implies y=\dfrac43[/tex]

b) i) [tex]y=1[/tex]

[tex]\implies \dfrac23x +\dfrac13=1\\\\\\\implies \dfrac23x =1-\dfrac13\\\\\\\implies \dfrac23x =\dfrac23\\\\\\\implies x =1[/tex]

ii) [tex]y=-\dfrac16[/tex]

[tex]\implies \dfrac23x +\dfrac13=-\dfrac16\\\\\\\implies \dfrac23x =-\dfrac12\\\\\\\implies x =-\dfrac12 \div \dfrac23=-\dfrac12 \times\dfrac32=-\dfrac34[/tex]

[tex] [/tex]

[tex] \rm \: Find \: \frac{dy}{dx} if \: y = sin \: x \degree[/tex]


[tex]\rm \: Hint :y= sin x° = sin( \frac{\pi \: x}{180} )[/tex]



( Convert degree to ratio )

[tex] \: \: \: [/tex]
Thanku:)​

Answers

Answer:

Given that:

[tex]\longmapsto{ \large{ \rm{y = \sin \:x \degree}}}[/tex]

We know that,

[tex] \dashrightarrow{ \boxed{ \red{ \rm{1 \degree = \left ( \frac{\pi}{100} \right)^{c} }}}}[/tex]

So, using this, above given can be written as,

[tex]{ \large{ \longrightarrow{ \rm{y = \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]

On differentiating both sides w.r.t. x, we get:

[tex]{ \large { \longrightarrow{ \rm{ \frac{d}{dx}y = \frac{d}{dx} \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]

We know that,

[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} \sin x = \cos x }}}}}[/tex]

So, using the result, we get:

[tex]{ \large{ \longrightarrow{ \rm{ \frac{d}{dx} = \cos \left( \frac{\pi \: x}{180} \: \right) \frac{d}{dx} \left( \frac{\pi \: x}{180} \right) }}}}[/tex]

We know that,

[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx}k \: f(x) = k \frac{d}{dx} \: f(x)}}}}}[/tex]

So, using this, we get:

[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \cos \left( \frac{\pi \: x}{180} \right) \: \times \: \left( \frac{\pi}{180} \right) \frac{d}{dx} x}}}}[/tex]

We know that,

[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} x= 1 }}}}}[/tex]

So, using this, we get:

[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \: \cos \left( \frac{\pi \: x}{180} \right ) \times 1}}}}[/tex]

Hence:

[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \left( \frac{\pi \: x}{180} \right) }}}}}[/tex]

OR

[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \: x \degree }}}}}[/tex]

[tex] \: \: [/tex]

Learn More:

[tex] \boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]

Two birds are flying south for the winter. Bird 1 reaches its destination in 6. 0 hours, while bird 2 reaches its destination in 12 hours. If bird 2 covers twice as much distance as bird 1, what is the ratio of their velocities (bird 1/bird 2)

Answers

Answer:

their velocities are identical

Step-by-step explanation:

T1 = 6.0 h and T2 = 12 hours

V1 = d/6 and V2 = 2d/12

so V1 = V2 = d/6

The ratio of velocities of bird 1 and bird 2 is 1, as per linear equation.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line. "

Let, the distance covered by the bird 1 is x km.

Then, the distance covered by the bird 2 is 2x km.

Given, the time taken by bird 1 to reach the destination is 6 hours.

The time taken by bird 2 to reach the destination is 12 hours.

Therefore, velocity of the bird 1 is = [tex]\frac{x}{6}[/tex] km/hour.

Velocity of the bird 2 is = [tex]\frac{2x}{12}[/tex] km/hour =  [tex]\frac{x}{6}[/tex] km/hour.

Therefore, the ratio of velocities of bird 1 and bird 2 is

=  [tex]\frac{x}{6}[/tex] /  [tex]\frac{x}{6}[/tex]

= 1

Learn more about linear equation here: https://brainly.com/question/18125827

#SPJ2

Plsss i need this ASAP i will give 30 points
Find the LCM for each pair of numbers.
7. 4,9
8. 3,6
9. 8,10
10. 3,5
11. 12,5
12. 4,11

Answers

Answer:

see below

Step-by-step explanation:

7. 4=2^2, 9=3^2, 9*4=36, lcm =36

8. 3=3, 6=3*2, 3*2=6, lcm=6

9. 8=2^3, 10=2*5, 2^3*5=40, lcm = 40

10. 3=3, 5=5, 3*5=15, lcm = 15

11. 12=2^2*3, 5=5, 12*5=60, lcm = 60

12. 4=2^2, 11=11, 4*11=44, lcm =44

a classroom is about 29 feet wide. how wide is this in inches? one foot = 12 inches​

Answers

Answer:

348in

Step-by-step explanation:

29×12=348

hope this helps

Select all the correct answers. Which figures have point symmetry?

Answers

Answer:

its the first second and third ones:)

Step-by-step explanation:

I just took the test and got a 100%

I hope this helps:) <3

Figure A, B, D have point symmetry.

What is point symmetry?

Point Symmetry is when every part has a matching part the same distance from the central point but in the opposite direction. It looks the same when viewed from opposite directions (180° rotation).

Try imagining how each of the figure will look after rotating it for 180°.  If it looks exactly same as the original figure, it has point symmetry.

Learn more about point symmetry here

https://brainly.com/question/1593820

#SPJ2

Johnny has 2.6 pounds of bananas,3.1 pounds of grapes, and 6.3 pounds of apples. How many pounds of fruit does Johnny have altogether? Show or explain how you solve.Johnny has 2

Answers

answer:

the answer is 12 pounds

Step-by-step explanation:

Amount of Bananas that Johnny has= 2.6 pounds

Amount of grapes that Johnny has=3.1 pounds

Amount of apples that Johnny has = 6.3 pounds

Total weight of the fruits= 2.6+3.1+6.3=12 pounds

Mark is also trying to save money. He already has $3.00 saved and puts $1.00 per week away in
his piggy bank. This can be represented by the equation y = x + 3

¿Will Jen or Mark save $20.00 first? Justify your reasoning.

Answers

Answer:

Mark will save $20 in 17 weeks, but there is no equation for Jen.

Step-by-step explanation:

y = x + 3

1) replace y with $20

20 = x + 3

2) subtract 3 from both sides

17 = x

question in picture 30 points if you answer right​

Answers

Answer:

C

since volume of rectangular prism is given by V=wlh

the volume of the small cubic blocks is (1/5)^3= 1/125

hence we need 4 of the small cubic blocks.

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