The marked price of an article is Rs.2080. After allowing d% discount and levying
(d-2)% VAT the cost of the article becomes Rs.1997.84. Find the rate of VAT?​

Answer:

x = 2

AB = 15

BC = 15

AC = 30

Step-by-step explanation:

Given that B is the midpoint of AC, then AB = ½ of AC.

AB is given as 3(3x - 1),

AC = 5(2x + 2),

Therefore:

[tex] 3(3x - 1) = \frac{1}{2}*5(2x + 2) [/tex]

Solve for x

[tex] 9x - 3 = \frac{5}{2}(2x + 2) [/tex]

Multiply both sides by 2

[tex] 2(9x - 3) = \frac{5}{2}(2x + 2)*2 [/tex]

[tex] 18x - 6 = 5(2x + 2) [/tex]

[tex] 18x - 6 = 10x + 10 [/tex]

[tex] 18x - 10x = 6 + 10 [/tex]

[tex] 8x = 16 [/tex]

Divide both sides by 8

[tex] x = 2 [/tex]

[tex] AB = BC = 3(3x - 1) [/tex]

Plug in the value of x

[tex] AB = BC = 3(3(2) - 1) [/tex]

[tex] = 3(6 - 1) = 3(5) = 15 [/tex]

[tex] AC = 5(2x + 2) [/tex]

[tex] AC = 5(2(2) + 2) [/tex]

[tex] AC = 5(4 + 2) = 5(6) = 30 [/tex]

Answer:

the temp on Sunday was 85, it changed by going down 2 degrees, and up 5 degrees

Step-by-step explanation:

when it says -2 degrees F its basically saying subtract 2, and then go on and add 5

Answer:

it was 85 goes up by 3

Step-by-step explanation:

Answer:

Graph 2 contains a function, but graphs 1 and 3 do not (1st Option).

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. Every x-value must have it's own y-value.

This means that 2 different y-values cannot have the same x-value.

Answer:

x ≤ 3

Just took the assignment, i hope you have a good day :)

Answer:

D.x ≤ 3

Step-by-step explanation:

Answer:

The two data sets have different distributions and different ranges.

Step-by-step explanation:

When you subtract for both of the ranges they are different numbers. So that's the second part. The numbers along the bottom are different too so that is the different distributions.

Answer:

The two data sets have different distributions and different ranges.

Step-by-step explanation:

The shape of the data for German male adult heights is skewed left, but the shape of the data for female adult heights is close to symmetric. So, the two data sets have different distributions.

Each data set has the same minimum height of 145 centimeters. However, the maximum male adult height is 220 centimeters, and the maximum female height is 185 centimeters. So, the two data sets have different ranges.

Answer:

Step-by-step explanation:

hello :

the x interception for Y=2x +7 when Y=0  means : 2x +7=0

so   x = -7/2

Answer:

AA Theorem

Step-by-step explanation:

In order to prove AB/AE = AC/AD, we need to prove that the triangles are similar. The AA Theorem says that if two triangles share two congruent angles, then the triangles are similar. The given states that ∠ABE ≅ ∠ACD, which means these two angles are congruent.

For the second angle, both triangles have the angle by point A. These angles can be written as ∠A ≅ ∠A. These angles are congruent because of the reflexive property.

Because we have proven these triangles to be simliar, we know the proportion AB/AE = AC/AD is correct because corresponding sides of similar triangles are proportional.

Answer:

5 x 3x = A 5(3x)

Step-by-step explanation: () = multiply

EX: 6(8) = 48

Answer:

4+6j

Step-by-step explanation:

[tex]4+(6\times j)\\4+6j[/tex]

Answer: 25.6

Step-by-step explanation: Have an Amazing Day :)

Answer:

25.6 this will be the answer

Step-by-step explanation:

Hope it helps

Answer: 3 - x

Step-by-step explanation: With

Subtraction be careful. 3 - x is not the same as x - 3. You have to keep the values given in order.

Answer:

Step-by-step explanation:

1. Finding  [tex]\overrightarrow{AB}[/tex]  (or [tex]\overrightarrow{BA}[/tex]):

[tex]\overrightarrow{AB}=\overrightarrow{OA}-\overrightarrow{OB}= \left[\big5\atop\big3\right]-\left[\big2\atop-\big5\right]= \left[\big5-\big2\atop\big3-(-\big5)\right]=\left[\big3\atop\big8\right][/tex]

2. Calculating length of  [tex]\overrightarrow{OA}\,,\ \overrightarrow{OB}\ \text{and}\ \overrightarrow{AB}[/tex]:

[tex]|\overrightarrow{OA}|=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}\approx5.831\\\\ |\overrightarrow{OB}|=\sqrt{2^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}\approx5.385\\\\ |\overrightarrow{AB}|=\sqrt{3^2+8^2}=\sqrt{9+64}=\sqrt{73}\approx8.544[/tex]

3. Calculating perimeter:

[tex]P=|\overrightarrow{OA}|+|\overrightarrow{OB}|+|\overrightarrow{AB}|=\sqrt{34}+\sqrt{29}+\sqrt{73}\approx5.831+5.385+8.544=19.76[/tex]

Answer:

Step-by-step explanation:

Perp. : -3/2

y + 8 = -3/2(x - 4)

y + 8 = -3/2x + 6

y = -3/2x - 2

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = [tex]\frac{112 - 2x}{3}[/tex]

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( [tex]\frac{112 - 2x}{3}[/tex] )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

Answer:

1st number = 36

Second = 16

Third = 64

Step-by-step explanation:

We have 3 numbers

Let's call the second number g

Then the first would be , 2x g = 2g

Then the third would be twice the first = 2 x 2g = 4g

We add up all numbers and equate it to 112

2g + g +4g = 112

7g = 112

g = 112/7

g = 16

First number = 2g = 2x16 = 32

Second number = g = 16

Third number = 4g = 4x16 = 64

Therefore the numbers are 32, 16, 64.

I hope this helps!

Answer:

see below

Step-by-step explanation:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

FOIL

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

C and D

Step-by-step explanation:

As determinant of this quadratic equation is given by-

(-b±√(b²-4ac))/2a

Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-2; 4)

A' = (-2 - 4; 4 - 2) = (-6; 1)

After reflection on F(X)

Answer:

220

Step-by-step explanation

Answer:

Step-by-step explanation:

In this problem we must first of all write the inequality that describes the problem.

Given that

1. you have a limit of $400

2. there is an initial fee of $50

3. monthly payment is $45

let the number of months be n

therefore

[tex]50+45n\leq 400\\\\45n\leq 400-50\\\\45n\leq350[/tex]

Divide both sides by 45 we have

[tex]n\leq \frac{350}{45} \\\\n=\frac{70}{9} \\\\n= 7.77\\\\[/tex]

approximately you are going to be member for 8 months

Answer:

over 5 x + 4 over 3 = 2x

can't find x

Hi McDa:

Here's a couple hints. (I have no idea what you already understand. Please check out our posting guidelines.)

Express the Natural number 3 in Rational form 3/1.

4

5

x

+

4

3

1

=

2

x

Regarding the left-hand side above, have you learned the property that says we may multiply by the reciprocal of 3/1, instead of dividing by 3/1?

Step-by-step explanation: Incorrect? Let me know!

Complete question:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

Answer:

0.005377 peope/m²

Step-by-step explanation:

Given that :

Population density of Rio in 2016 = 5377 people/km²

To obtain population density in people per square meter, we convert 5377people/km² to people per m²

Recall:

1000 m = 1km

Hence,

5377 people/km² = 5377 people / (1000²)m

= (5377/1000000)people/m²

= 0.005377 peope/m²

Answer:

0.005377

Step-by-step explanation:

KHAn

Answer:

greater than 1

Step-by-step explanation:

Answer:

He bought 1 small bag and 6 large bags.

Step-by-step explanation:

We can set up 2 equations with the given information.

5x+8y=45

x+y=6

We can rearrange the second equation to solve for x.

x=6-y

Now we substitute x for 6-y in the first equation

5(6-y)+8y=45

30-5y+8y=45

30+3y=45

y+10=15

y=5

x=1

He bought 1 small bag and 6 large bags.

Answer:

4*0.40+5*0.75=5.35

Step-by-step explanation:

Answer:

like so i could get points pls, answer is in screenhot lol

Step-by-step explanation:

Answer:

40 and 89

Step-by-step explanation:

let x be the number then the other number is 2x + 9, then

x + 2x + 9 = 129, that is

3x + 9 = 129 ( subtract 9 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

Thus the numbers are

x = 40 and 2x + 9 = 2(40) + 9 = 80 + 9 = 89

Answer:

$18

Step-by-step explanation:

Given:

y = 0.9x - 4.5

Where,

x = age in years

y = hourly pay in dollars

what is the best prediction for the hourly pay of a 25 year old?

That is, find y when x=25

y = 0.9x - 4.5

= 0.9(25) - 4.5

= 22.5 - 4.5

= 18

y = $18

The prediction for the hourly pay of a 25 year old is $18

Answer:

$18:00

Step-by-step explanation:

Thank You To The Guy Above Me

Answer:

174 seconds.

Step-by-step explanation:

So there was a total of 7 songs.

And it took a total of 20 minutes and 18 seconds to play them all.

20 minutes and 18 seconds is the same as 20(60)+18=1218 seconds.

Thus, the average number of seconds per song was:

[tex]1218/7=174[/tex]

174 seconds,

or about 2 minutes and 54 seconds.

Answer:

n = ±6

Step-by-step explanation:

n² + 4 = 40

n can be solved by finding the square root

n²  = 40 - 4

n²  = 36

n = √36

n = ±6