if 6 article are sold for 20 rupees then there is aloss of20% inorder to gain 20% what must be the number of articals sold for 20 rupess

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

[tex]\implies 3J + 5A = 27[/tex]

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

[tex]\implies 9J + 7A = 51[/tex]

Therefore, the system of equations is:

[tex]\begin{cases}3J+5A=27\\9J+7A=51\end{cases}[/tex]

To solve the system of equations, multiply the first equation by 3 to create a third equation:

[tex]3J \cdot 3+5A \cdot 3=27 \cdot 3[/tex]

[tex]9J+15A=81[/tex]

Subtract the second equation from the third equation to eliminate the J term.

[tex]\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}[/tex]

Solve the equation for A by dividing both sides by 8:

[tex]\dfrac{8A}{8}=\dfrac{30}{8}[/tex]

[tex]A=3.75[/tex]

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

[tex]3J+5(3.75)=27[/tex]

[tex]3J+18.75=27[/tex]

[tex]3J+18.75-18/75=27-18.75[/tex]

[tex]3J=8.25[/tex]

[tex]\dfrac{3J}{3}=\dfrac{8.25}{3}[/tex]

[tex]J=2.75[/tex]

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

The easiest method to remember when dividing fractions is Keep Change Flip (KCF)

Step-by-step explanation:

I wrote out some examples of KCF. Once you use KCF, you just multiply the fractions normally and then don't forget to write the improper fractions (ex: 12/7) as a mixed number (1 5/7)

If you have any questions about the steps just let me know. I hope this helps ^-^

Answer:

1265 kg of protein

Step-by-step explanation:

If 55kg is eaten in one day then in 23 days there will be x kgs.

To find 'x':

55 x 23 = 1265

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

1a+12

Step-by-step explanation:

The box and whisker plot that has the greatest interquartile range from the options given is option 3.

In order to calculate the interquartile range of a dataset, we can determine or find the difference between the values at the edges of the rectangular box in a box and whisker plot that displays the data set.

This also implies that we subtract the first quartile from the third quartile.

From the options given, we see that in option 3, the box and whisker plot has the largest interquartile range. This is because: Q3 - Q1 is approximately 9.

9 is higher than the interquartile ranges of the other datasets, therefore, option 3 is the right option.

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The amount of dry ingredients used in the cake recipe is approximately 7 cups.

We have,

3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.

Now, first convert all quantity in same unit.

3 ½ cups of flour

= 3 cups + 0.5 cups

= 3 cups and 8 ounces.

and, 2 ⅔ cups of sugar

= 2 cups + 0.67 cups,

= 2 cups and 10.72 ounces.

and, 1 ¾ cups of cocoa

=1 cup + 0.75 cups

= 1 cup and 12 ounces.

So, the total amount

= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

= 7 cups

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

Theoretical Probability

Step-by-step explanation:

Total number of possible outcomes

The prove of the trig identity gives sin²θ + cos²θ = 1.

The proof of the trig identity is determined as follows;

Let's consider a right triangle with one acute angle θ.

Let the hypotenuse have length 1

Let the length of the adjacent side = cosθ

then, the opposite side length = sinθ

Apply Pythagorean theorem, to determine the hypotenuse side;

(sinθ)² + (cosθ)² = 1²

sin²θ + cos²θ = 1

Thus, we have proved the identity.

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The value of arc LN in the intersecting chords is 100⁰.

The value of arc LN is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

arc LN = 2 x m∠LMN

From the diagram, we have, m∠LMN = 50⁰

The value of arc LN is calculated as follows;

arc LN = 2 x 50⁰

arc LN = 100⁰

Thus, the value of arc LN is based on intersecting chord theorem.

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The length of carbon rod is needed to obtain a resistance of 10 ohms is 0.00897 or 8.97 × 10⁻³ meters.

In Mathematics and Science, the resistance of any conductor (wire) in terms of length can be calculated by using this formula:

Length = RA/ρ

Where:

By substituting the parameters, we have:

Length = Rπr²/ρ

Length = [10 × 3.142 × (0.0001)²]/3.5 × 10⁻⁵

Length = 3.142 × 10⁻⁷/3.5 × 10⁻⁵

Length = 0.00897 or 8.97 × 10⁻³ meters.

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Complete Question:

A carbon bar of radius 0.1 mm is used to build a resistor. The resistivity of this material is 3.5 x 10-5 Ω. m. What length of carbon rod is needed to obtain a resistance of 10 ohms?

Answer:

satiscal

Step-by-step explanation:

The area of the front cover a face perpendicular to the thickness is 72 in².

Given:

A new dictionary in the shape of a rectangular prism will have a thickness of 3 inches.

The volume of the dictionary will be 216in².

Volume = W×L×H

Surface = volume/ height

= 216/3

= 72 in²

Hence, the area of the front cover of a face perpendicular to the thickness is 72 in².

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Answer:

[tex]\textsf{1)}\quad y = \dfrac{4}{3}x-\dfrac{13}{3}[/tex]

[tex]\textsf{2)} \quad y = \dfrac{3}{2}x-6[/tex]

Step-by-step explanation:

To find the equation of a line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1), we first need to find the slope of the line joining (1, 2) and (-2, -2).

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-2}{-2-1}=\dfrac{-4}{-3}=\dfrac{4}{3}[/tex]

Parallel lines have the same slope, so the slope of the parallel line is m = 4/3.

Substitute the found slope and point (4, 1) into the point-slope formula:

[tex]\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - 1 &= \dfrac{4}{3}(x - 4)\\\\y - 1 &= \dfrac{4}{3}x-\dfrac{16}{3}\\\\y &= \dfrac{4}{3}x-\dfrac{13}{3}\end{aligned}[/tex]

Therefore, the equation of the line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1) is:

[tex]\boxed{y = \dfrac{4}{3}x-\dfrac{13}{3}}[/tex]

[tex]\hrulefill[/tex]

To find the equation of a line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3), we first need to find the slope of the line joining (2, -3) and (-1, -1).

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-(-3)}{-1-2}=\dfrac{2}{-3}=-\dfrac{2}{3}[/tex]

The slopes of perpendicular lines are negative reciprocals, so the slope of the parallel line is m = 3/2.

Substitute the found slope and point (2, -3) into the point-slope formula:

[tex]\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - (-3) &= \dfrac{3}{2}(x - 2)\\\\y+3&= \dfrac{3}{2}x-3\\\\y &= \dfrac{3}{2}x-6\end{aligned}[/tex]

Therefore, the equation of the line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3):

[tex]\boxed{y = \dfrac{3}{2}x-6}[/tex]

Answer:

Putting the values of x and y in the given polynomial

[tex] = 8({1})^{2} + 6(3)(1)[/tex]

[tex] = 8(1) + 18[/tex]

[tex] = 8 + 18[/tex]

[tex] = 26[/tex]

Hence the value of polynomial is 26

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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Answer: The spinner is probably because 5 was spun approximately 200 times

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of the angle is calculated: 35°.

Recall the following based on the inscribed angle theorem:

Measure of an arc = 2(measure of inscribed angle)

Also not that half of a circle is equal to 180 degrees. Therefore, we have:

Measure of arc QR = 180 - 110 = 70 degrees.

Measure of angle QRS = 1/2(measure of arc QR)

Plug in the values:

Measure of angle QRS = 1/2(70)

Measure of angle QRS = 35°

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To center the picture both horizontally and vertically on the wall, Jon should hang it 3.75 feet from the left edge of the wall and 3 feet from the top edge of the wall.

First, we need to convert the dimensions of the picture from inches to feet Width: 54 inches = 4.5 feet and Height: 24 inches = 2 feet

To center the picture horizontally, we need to find the distance between the left edge of the wall and the left edge of the picture, and then subtract this distance from the distance between the right edge of the wall and the right edge of the picture.

The difference should be zero if the picture is centered.

Distance between left edge of wall and left edge of picture = (12 ft - 4.5 ft) / 2 = 3.75 ft

Distance between right edge of wall and right edge of picture = (12 ft - 4.5 ft) / 2 = 3.75 ft

So, the picture is centered horizontally.

To center the picture vertically, we need to find the distance between the top edge of the wall and the top edge of the picture, and then subtract this distance from the distance between the bottom edge of the wall and the bottom edge of the picture.

The difference should be zero if the picture is centered.

Distance between top edge of wall and top edge of picture = (8 ft - 2 ft) / 2 = 3 ft

Distance between bottom edge of wall and bottom edge of picture = (8 ft - 2 ft) / 2 = 3 ft

So, the picture is centered vertically.

Therefore, Jon should hang the picture 3.75 feet from the left edge of the wall and 3 feet from the top edge of the wall to center it both horizontally and vertically.

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The constant of proportionality is equal to 3/10.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/10 = 6/20 = 9/30

Constant of proportionality, k = 3/10.

Therefore, the required linear equation is given by;

y = kx

y = 3/10(x)

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Answer:

This has no answer. Whats the question? Please tell me so I can help you

Is it probability ???

Answer:

A. -2.7, -9, -30, -100, ...

B. -1, 2.5, -6.25, 15.625, ...

C. 9.1, 9.2, 9.3, 9.4, ...✔️

D. 8, 0.8, 0.08, 0.008, ...✔️

E. 4, -4, -12, -20, ... ✔️

Hope you understand

Let me know if you need further explaination

The range of the monthly sales goals is; 37,000.

We are given the stem plot :

Stem  Leaf

1          2, 5, 5, 8

2          4, 4, 6

3          4, 6

4          7, 8, 9

The largest number is 49 and the smallest is 12. Since is in thousands, the numbers become 49,000 and 12,000.

Range = highest value - the lowest value

Range = 49,000 - 12,000 = 37,000

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Answer:

    [tex]\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1[/tex]

Step-by-step explanation:

Slope intercept form of a line equation is

y = mx + b

where

m = slope

b = y-intercept

A perpendicular line to y = mx + b will have a slope of -1/m

Let's first find the equation for line z in slope-intercept form
Slope m for a line  = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line

Slope of line z is
[tex]m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}[/tex]

So line z will have an equation of the form
[tex]y = -\dfrac{3}{5}x + b[/tex]

We know that a line perpendicular to this line will have a slope of
[tex]- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}[/tex]

So the equation of the perpendicular line is
[tex]y = \dfrac{5}{3}x + b[/tex]

Only one of the 4 choices, name choice A has this slope of 5/3

Therefore the correct answer choice is A

There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:

The perpendicular line passes through (3, 6). This means when x = 3, y =6

Substitute these values of x, y into the equation for the perpendicular line and solve for b

[tex]y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1[/tex]

This corresponds to Choice A

Answer:

(−3,−π/6)

Step-by-step explanation:

Note that the point is on the circle whose radius is labeled 3, so r=3 or r=−3. Of the choices available, only an angle of −π6, drawn from the negative x axis plots at the point A. So θ=−π6, and r must be negative, as the angle is measured from the negative x axis. Thus, the polar coordinates are (−3,−π6).

This query is about identifying the polar coordinates of a specific point on a graph. However, without an accompanying graphical representation, a definitive answer cannot be provided based on the options given. Polar coordinates represent a point using the distance from a reference point and an angle from a reference direction.

The question is about polar coordinates, a way of expressing the location of a point in two-dimensional space. Without seeing the actual point A on a graph, it is not possible to definitively determine its polar coordinates from the provided choices. However, it is very crucial to know that polar coordinates represent a point in the plane using the distance from a reference point and an angle from a reference direction. The distance, represented as r, should always be non-negative whereas the angle θ can range from 0 to 2π, or in negative, -π to π. An understanding of these may help you determine the coordinates of the point A in your problem.

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The probability that Bashir chooses a card that is either a face card or a spade is 11/26.

To find the probability that the card Bashir chooses is either a face card or a spade, we need to add the probabilities of the two events occurring and then subtract the probability of their intersection (choosing a face card that is also a spade).

First, we need to find the probability of choosing a face card. There are 12 face cards in a deck (4 jacks, 4 queens, and 4 kings), and a total of 52 cards, so the probability of choosing a face card is

P(F) = 12/52 = 3/13

Next, we need to find the probability of choosing a spade. There are 13 spades in a deck (from 2 to ace), and a total of 52 cards, so the probability of choosing a spade is

P(S) = 13/52 = 1/4

To find the probability of choosing either a face card or a spade, we can use the formula

P(F or S) = P(F) + P(S) - P(F and S)

We need to find the probability of choosing a face card that is also a spade (their intersection). There are only 3 face cards that are spades (jack of spades, queen of spades, king of spades), so the probability of choosing a face card that is also a spade is

P(F and S) = 3/52

Now we can plug in the values to get

P(F or S) = P(F) + P(S) - P(F and S)

P(F or S) = 3/13 + 1/4 - 3/52

P(F or S) = 12/52 + 13/52 - 3/52

P(F or S) = 22/52

P(F or S) = 11/26

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The values of x and y are given as follows:

The dimensions are obtained applying the proportions in the context in the problem.

The conversion rate between feet and inches is given as follows:

1 feet = 12 inches.

Hence the dimensions of the picture are given as follows:

The height of the entire frame is of 8 ft, while y is half the height outside the picture, thus the value of y is obtained as follows:

y = 0.5(8 - 2) = 3 ft.

The value of x is given as follows:

x = 0.5(12 - 4.5)

x = 3.75 ft.

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