find the cost price when selling price of an article is rupees rs 8640 and the profit percent is 20%​

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:

Let x be the number of hours at the fair and y be the number of hours at a beach.

x + y < 7

{ at most 7 hours at a beach and the fair }

x > 2

{ at least 2 hours at the fair }

y > 4

{ more than 3 hours at a beach }

Graph the system accordingly

Statement:

R is the midpoint of QS.

To find out:

The measure of QS.

Solution:

Answer:

QS is 76.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

I got 10,088

Step-by-step explanation:

If that is Incorrect, I would pick 6,700 .

Answer:

2.

Step-by-step explanation:

If it was 14, 24.5, or 28, that side of the trapezoid would've been much longer.

Answer:

I believe your answer would be 2

Step-by-step explanation:

Using the same method as I explained in your previous triangle question I assumed the bigger quadrilateral is an expanded version of the smaller one.

Step 1:

Divide 14 by 4

14/4=3.5

Step 2:

Divide 7 by your 3.5

7/3.5=2

This means that the side of x should be 2 because each side is squished by a factor of 3.5 and expanded by this factor to get to the big shape.

Hope this helps! :)

Answer:

Step-by-step explanation:

Use same power to compare the values

Prove the first part:

Prove the second part:

Answer:

x+4=10 3x=18 and x/2=3

Step-by-step explanation:

x=6 substituting the value,

x+4

=6+4

=10

3x

=3×6

=18

x/2

=6/2

=3

Answer:

$42.50

Step-by-step explanation:

when you have a percent loss you can take that number and subtracted from 100 and get your percentage

you multiply the amount by 85 percent

so this means it is 50 titimes 0.85

this gives me $42.5

Step-by-step explanation:

since the other angles are equal to each other, both triangles, TQR and TSR, are identical. they are just oriented differently.

but that also means that both angles, Q and S, are identical too.

so,

2x² = 3x² - 64

64 = x²

x = 8

and therefore, both angles are 128°.

Answer:

seq 1 : 9 , 11, 13, 15, 17

seq 2: 5, 8, 11, 15, 18

seq 1: 20, 16, 12, 8, 4,

seq 2: 20, 17, 14, 11, 8,

seq 1: 1, 2, 5, 11, 23

seq 2: 40, 24, 16, 12, 10

Step-by-step explanation:

im not sure if the ordered pairs i had in mind are correct so im not listing them

Answer:

Attach are the sequences

Step-by-step explanation:

Hope this helps!

The area of a shape is the amount of space it occupies.

The dimension of the paper is given as: 12-inch by 8-inch

So, its area is:

[tex]Area = 12 * 8[/tex]

[tex]Area = 96[/tex]

Hence, the area of the paper is 96 square inches

The dimensions of the 4 right triangles are: Two 2 inches by 9 inches, and two 3 inches by 6 inches

So, the combined area is:

[tex]Area = 0.5(2 * 2 * 9 + 2 * 3 * 6)[/tex]

[tex]Area = 36[/tex]

Hence, the combined area of the triangle cutouts is 36 square inches

The area of the parallelogram is the difference between the areas of the paper and the four right triangles.

So, we have:

[tex]Area = 96 - 36[/tex]

[tex]Area = 60[/tex]

Hence, the area of the parallelogram is 60 square inches

The base is given as 9.22

So, we have:

[tex]Area = Base * Altitude[/tex]

This gives

[tex]60 = 9.22* Altitude[/tex]

Divide both sides by 9.22

[tex]Altitude = 6.51[/tex]

Hence, the altitude of the parallelogram is 6.51 inches

Read more about parallelograms at:

https://brainly.com/question/4459854

Answer:    The area of the paper is 96 square inches

   The combined area of the triangle cutouts is 36 square inches

   The area of the parallelogram is 60 square inches

   The altitude of the parallelogram is 6.51 inches

Step-by-step explanation:

Answer:

The solution for x + y = 7 & 2x + 3y = 10 is at (11,-4)

Answer: (11,-4)

Hope this helps!

Answer:

3.36

Step-by-step explanation:

.20 x 2.80 = .56

2.80 + .56 = 3.36

Answer:

-2.5

Step-by-step explanation:

It is the answer of the first question.

Answer: 3.5

Step-by-step explanation:

It is an intersection of a tangent and a secant.

122=9(9+2a)
144=81+18a63= 18a3.5=a

Took test as well!

The numerical value of 'a' in the secant segment of the circle is 3.5.

The secant-tangent power theorem states that "if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment."

It is expressed as:

( tangent segment )² = External part of the secant segment × Secant segment.

From the diagram:

tangent segment = 12 ft

The external part of the secant-segment = 9 ft

Secant segment = ( a + a + 9 ) = 2a + 9

To determine the value of 'a', we use the secant-tangent power theorem.

12² = 9 × ( 2a + 9 )

Solve for 'a':

144 = 18a + 81

144 - 81 = 18a

63 = 18a

a = 63/18

a = 3.5

Therefore, 'a' has a value of 3.5.

Option C) 3.5 is the correct answer.

Learn more about the secant tangent power theorem here: brainly.com/question/26407978

#SPJ2

Answer:

It's in the screenshot hope it helpsss

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

y = 2x + 4     Substitute this for y in the second equation

6x - 3y = -12

6x - 3(2x + 4) = - 12  Substitute this for y for 2x + 4

6x - 3(2x) -3(4) = -  12    Distributive property

6x - 6x - 12 =  - 12

(6x - 6x) -12 = - 12   like terms together

 0 - 12 = - 12       Simplify

-12 = -12        True equation so x is equal to any number  and you have the same equation  

Answer:

B

Step-by-step explanation:

General equation

y = mx + b

m = the slope

b = the y intercept

Slope

y = -2x + b

y intercept

use the point to get the y intercept.

x = 1

y = - 4

Subsitute these values into the incomplete equation under slope

-4 = -2(1) + b

-4 = - 2 + b            Add 2 to both sides

-4+2 = b

b = - 2

Answer

y = -2x - 2

Answer:

y = -2x - 2

Step-by-step explanation:

When given a point and a slope, we use slope-intercept formula:

y - y1 = m (x - x1)

m = slope  point: (1,-4)

y - y1 = m (x - x1)

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

y + 4 = -2x + 2

  - 4          - 4

y = -2x - 2

To check our answer, I attached the graph.

Answer:

Division is the separation of something (a number) into equal parts.

Step-by-step explanation:

Division is the separation of something (a number) into equal parts. In other words, it's the opposite of multiplication, which is the repeated addition of something (a number).

Probably the best way to explain division is with an example. Say I want to compute the following:

10 / 2

"10" means I have 10, and the "/ 2 means" that I want to seperate 10 into equal groups of 2. To do that, I will count how many groups of 2 I can have in 10. 2, 4, 6, 8, and 10 make 5 equal groups of 2. Therefore,

10 / 2 = 5.

Division can also result in remainders, or leftovers after division. This is because somethimes, numbers don't divide evenly. Take for instance this example:

10 / 3

I know that 3 isn't a multiple of 10, but I can still attempt to divide it. 3, 6, 9, three groups ... wait ..., I have only 1 left. What do I do with this 1? Well, it is a remainder now because it is left over:

10 / 3 = 3 and a remainder of 1 ( or 3 r1).

I'm sorry if this is a bad explanation, but I am not a big fan of using visuals online when teaching math. Yet, I have done my best to explain what division is (in abstract form no less), and I hope you can figure it out if you haven't yet in the future.

Answer:

The answer should be 10:7.

Hey there!

40:28

= 40 ÷ 2 : 28 ÷ 2

= 20 : 14

= 20 ÷ 2 : 14 ÷ 2

= 10 : 7

Therefore, your answer is: 10:7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

8%

Step-by-step explanation:

percent increase = [ (difference between initial value and final value) ÷ initial value] x 100

⇒ percent increase = [ (270 - 250) ÷ 250] x 100 = 8%

Answer:

12.5

Step-by-step explanation

270 - 250 = 20

250 divided by 20 = 12.5

So therefore the percentage in the increase is 12.5

Answer:

y=1/2x

Step-by-step explanation:

It looks like it

Answer:

7

Step-by-step explanation:

42÷6=7

Pretty easy question in my opinion

Answer:

1)   [tex]x=\dfrac12[/tex]

2)   [tex]n = -3 \ \ \textsf{and} \ \ m = -4[/tex]

3)  see below

4)  A:  0 = 1

Step-by-step explanation:

Question 1

[tex]15-0.5(4x-2)+4x=17[/tex]

[tex]\implies 15-2x+1+4x=17[/tex]

[tex]\implies 2x+16=17[/tex]

[tex]\implies 2x=1[/tex]

[tex]\implies x=\dfrac12[/tex]

Question 2

[tex]\textsf{rearrange} \ n=m+1 :[/tex]

[tex]\implies -m=-n+1[/tex]

[tex]\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\[/tex]

[tex]\implies0=n+3[/tex]

[tex]\implies n=-3[/tex]

[tex]\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:[/tex]

[tex]\implies m=-3-1[/tex]

[tex]\implies m=-4[/tex]

Question 3

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

solve for x

Question 4

[tex]3j=k[/tex]

[tex]k=3j+1[/tex]

[tex]\textsf{rearrange} \ 3j=k :[/tex]

[tex]\implies -k=-3j[/tex]

[tex]\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:[/tex]

[tex]\implies 0=1[/tex]

Solution = A

Answer:

x = 20, y = 3

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{TU}{QR}[/tex] = [tex]\frac{UV}{RS}[/tex] ( substitute values )

[tex]\frac{x}{4}[/tex] = [tex]\frac{30}{6}[/tex] = 5 ( multiply both sides by 4 )

x = 20

and

[tex]\frac{QS}{TV}[/tex] = [tex]\frac{RS}{UV}[/tex] ( substitute values )

[tex]\frac{y}{15}[/tex] = [tex]\frac{6}{30}[/tex] ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

To solve this problem, we simply need to convert the distance

Like we already established earlier, we just need to convert the distance unit from miles to inches

But given that

[tex]1mi = 63360in[/tex]

Let us find how many inches will be in 65 miles.

In this case, simply multiply 65 by 63360 to find the actual distance in inches.

[tex]65 * 63360 = 4118400in[/tex]

The distance on her map will be 4118400 inches on her map.

Learn more on conversion of unit here;

https://brainly.com/question/8426032

Answer:

7:2

350:100

[tex] \frac{7}{9} \times 450kg = 350kg[/tex]

[tex] \frac{2}{9} \times 450g = 100kg[/tex]

Answer:

x = 23

( x + 16 ) + ( 3x - 1 ) + 6x + 5x = 360°

x + 3x + 6x + 5x + 16 - 1 = 360°

15x + 15 = 360°

15x = 360° - 15

x = 345 ÷ 15

x = 23

Answer:

[A]

Step-by-step explanation:

Answer:

...................3

Answer:

It will take 3 days

Step-by-step explanation:

5x3=15

so 9/3=3

3 days