a rack bought for rs.8000 and sold at 15% loss, find selling price​

Answer:

4x² - 12x + 9

Step-by-step explanation:

Use the foil method.

(2x - 3) (2x - 3)

= 4x²- 6x - 6x + 9

= 4x² - 12x + 9

Answer:

[tex]Square \ of \ (2x - 3) = 4x^2 - 12x + 9[/tex]

Step-by-step explanation:

[tex](a +b)^2 = a^2 + b^2 + 2ab[/tex]

  [tex](2x + (- 3))^2 = (2x)^2 + ( -3 )^2 + ( 2\times 2x \times - 3)\\\\[/tex]

                    [tex]= 4x^2 + 9 + ( -12x)\\\\=4x^2 - 12 x + 9[/tex]

Answer:

Area rhombus = 110

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles.

They bisect each other.

So the diagonals form 4 right angle triangles whose legs are 1/2 of each of them.

Leg of 1 triangle = 1/2 * 10 = 5

Other leg of 1 triangle = 1/2 * 22 = 11

Area of 1 triangle = (1/2 ) * 5 * 11 = 1/2 * 55 = 27.5

Area of all 4 triangles = 4 * 27.5

Area of all 4 triangles = 110

Area of rhombus = 110

Answer:

The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.

Step-by-step explanation:

Answer:

[tex]\displaystyle x > 6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]

Step 2: Solve for x

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

When given the following equation;

[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]

One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;

[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]

Simplify,

[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]

Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,

[tex]6x+18<9x[/tex]

Now solve this inequality like a  normal inequality. Use inverse operations;

[tex]6x+18<9x[/tex]

[tex]18<3x[/tex]

[tex]6<x[/tex]

Answer:

????

Step-by-step explanation:

Where's the equation? diagram?

Answer:

How we supposed to answer with no equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 90

r = 40% = 40/100 = 0.4

t = 3 years

It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.

I will take it as 40% for each year for 3 years.

i = prt = 90 * 0.4 * 3

i = 108

Answer:

The perimeter of the figure is 114.6

Step-by-step explanation:

If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.

Answer:

114.6

Step-by-step explanation:

just add all the sides together

Answer:

108.56

Step-by-step explanation:

First find the amount of the tip

92 * 18%

92 * .18

16.56

Add this to the amount of the bill

92+16.56

108.56

Answer:

108.56

Step-by-step explanation:

92$ + .18*92 = 108.56$

Answer:

[tex]x-25=7[/tex]

Step-by-step explanation:

First, we must understand the operation occurring. The sentence clearly tells us that we are subtracting. The next important step is finding out the order. In the equation 25 is being taken away from the number; this means that the equation should be [tex]x-25[/tex]. Then, it says that the result is 7. This means the expression should equal 7.

Finally, x=32. This can be solved by adding 25 to both sides.

Answer:

(-2,-2)

(0,1)

(2,5)

Step-by-step explanation:

(-3,3) and (-1,1) are not solution even though they lie on the line because the line is dashed and not solid

Answer:

answer is 55° ..........

9514 1404 393

Answer:

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

Answer:

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

Step-by-step explanation:

Given

[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )

8x = 4 + 2x ( subtract 2x from both sides )

6x = 4 ( divide both sides by 6 )

x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

Answer:

Step-by-step explanation:

(-5,-1)  & (-2, -3)

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]

m= -2/3  ; (-5,-1)

[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]

Answer:

Step-by-step explanation:

Area of the rectangular garden is given by the expression,

Area = 6(2x + 5y)

By distributive property,

6(2x + 5y) = 12x + 30y

Therefore, equivalent expression for the area will be,

Area = (12x + 30y)

For x = 3 and y = 4,

Area = 12×(3) + 30×(4)

        = 36 + 120

        = 156

Area of the rectangular garden = 156 square feet.

Answer:

a) 421mm² = 0.000421 m²

b) 9.3kg²= 9,300,000 g²

c) 25kL²= 25,000,000 L²

d) 1439m²= 0.001439 km²

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!

Answer: y= -7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(3)(−4)=y−5

−12=y+−5

−12=y−5

Step 2: Flip the equation.

y−5=−12

Step 3: Add 5 to both sides.

y−5+5=−12+5

y=−7

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{3x = y - 5}\\\\\large\textsf{3(-4) = y - 5}\\\\\large\textsf{3(-4) = \boxed{\bf -12}}\\\\\large\textsf{-12 = y - 5}\\\\\large\textsf{TURN the EQUATION}\\\\\large\textsf{y - 5 = 12}\\\\\large\textsf{ADD 5 to BOTH SIDES}\\\\\large\textsf{y - 5 + 5 = -12 + 5}\\\\\large\textsf{CANCEL out: -5 + 5 because that gives you 0}\\\large\textsf{KEEP: -12 + 5 because that gives you the y-value}\\\\\large\textsf{y = -12 + 5}\\\\\large\textsf{-12 + 5 =\boxed{\bf -7}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -7}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

Answer:

x      -2      -1       0      1

y      -1       2        5      8

Step-by-step explanation:

y=3x+5

When x=-2

y=3(-2)+5

y=-6+5

y=-1

when x=-1

y=3(-1)+5

y=-3+5

y=2

whenx=0

y=3(0)+5

y=5

When x=1

y=3(1)+5

y=3+5

y=8

Answer: 18,27,36

Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.

Answer:

x=20, g=100, f=80

Step-by-step explanation:

when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be

3x+40+5x-20=180

8x+20=180

8x=160

x=20

Finding g

3(20)+40

60+40

g=100

FInding f

5(20)-20

100-20

f=80

Answer:

B is the correct answer pls mark me brainlist

Answer:

4   5

Step-by-step explanation:

I got it right here.

The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

Given:

(20x² – 12x) + (25x– 15)

or, 4x(5x – 3) + 5(5x – 3)

or, (4x+ 5)( 5x- 3)

Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).

Learn more about factorize here:

https://brainly.com/question/14067703

#SPJ2

Answer:

Yeah, you can prove with the use of alternate interior angles, alternate exterior angles, and parallel angles. That's why they're similar.

Step-by-step explanation: