shopkeeper mixes 60 kg of sugar worth rupees 30 per kg with 90 kg of sugar worth rupees 40 per kg at what rate he must sell the mixture to gain 20%​

Answer:

35*36=1260

Step-by-step explanation:

Answer:

35, 36

Step-by-step explanation:

Let the two consecutive positive integers be x and (x + 1)

According to the given information:

[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]

1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.

2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.

Hope this helps, and have a wonderful day!

Answer: -0.83

Step-by-step explanation:

A correlation coefficient(r) is used to determine the strength and direction of the relationship between two variables.

-1 ≤ r ≤1

For downward trend r is negative.

For strong correlation r should be closer to 1 or -1.

From the given correlation coefficients  -0.83 is both negative and closer to -1.

Hence, a correlation coefficient represents the strongest downward trend in a data set = -0.83

9514 1404 393

Answer:

  ? = 7/30 = 0.233...(repeating)

Step-by-step explanation:

Write the ratios as fractions, then multiply by the denominator under the unknown.

  [tex]\dfrac{\text{?}}{0.2}=\dfrac{7}{6}\\\\\text{?}=0.2\times\dfrac{7}{6}=\dfrac{2}{10}\times\dfrac{7}{6}\\\\ \boxed{\text{?}=\dfrac{7}{30}=0.2\overline{3}}[/tex]

Answer:

B) [tex]10\sqrt{3}[/tex]

Step-by-step explanation:

So basically it's divided into 3 similar triangles and using ratios we can try to find x

long side/short side = long side/short side

(20)/(x) = (x)/(15)

[tex]x^{2}[/tex] = 300

x =  [tex]10\sqrt{3}[/tex]

I really hope I didn't make that too complicated-

Answer:

28 x 75 = 2,100 then you would divid 2,100 / 5 = 420 so thats your answer.

Hope this helps please reward me brainlist

Answer:

start at (0,2) go up one over 3 to the right, and down 1 over 3 to the left

Answer:

slope is 1/3

the y intercept is (0,2)

Answer:

V = 205 in^3 to the nearest whole number

Step-by-step explanation:

V = 4/3 π r^3

Plugging in the given information:

V = 4/3 * 3.14 * 7^2

V = 205.147.

Answer:

I believe the answer is B

Answer:

64

Step-by-step explanation:

4^3 means to multiply 4 by itself three times, 4×4×4=64

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

Answer:

-6m+12=30

-6m=18

m=-3

Step-by-step explanation:

Answer:

m = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6(m - 2) = 30

Step 2: Solve for m

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

Answer:

42 or 42/1

Step-by-step explanation:

Divide 14 by 1/3.

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

Answer:

x=3 cm

Step-by-step explanation:

x/3=5/5

x=3

Answer:

450.4

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

The problem can be re-written as :

[tex] \sqrt{3^{x} } \div \sqrt{3} = 3[/tex]

This is because x to the power of 1/2 is the same as the square of x.

multiply both sides by sqrt3

[tex] \sqrt{3^{x} } = 3 \sqrt{3} [/tex]

square both sides

[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]

simplify

[tex]3 ^{x} = 9 \times 3[/tex]

3 to the power of x is equal to 27

3 cubed (to the power of 3) is 27

so x is equal to 3.

hope i helped, and good luck :)

Answer:

x = 4

Step-by-step explanation:

ΔABC ≈ ΔDBE

set up a proportion of corresponding sides:

BD / BE = BA / BC

BA = 10 - x + x = 10

10-x / 3 = 10 / 5

cross-multiply:

5(10 - x) = 3(10)

50 - 5x = 30

-5x = -20

x = 4

Answer:-12

Step-by-step explanation:

=============================================================

Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

Answer:

(7, -4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pythagorean theorem,

Base² + altitude² = hypotenuse²

x² + 3² = 6²

x² + 9 = 36

      x² = 36 - 9

     x² = 27

x = √27

Answer:

D) x=sq rt 27

Step-by-step explanation:

using the Pythagorean theorem

6^2=3^2+x^2

36=9+x^2

27=x^2

x=sq rt 27

Answer:

A) (6 , 8)

B) (-6 , 2 )

C) (4 , -4)

Answer:

43ft

Step-by-step explanation:

side a = x ft

side b = 10 ft

side c = 18 ft

x = 14.967

rounds to = 15

10 + 18 + 15 = 43

43 ft of fence needed

Answer:

Use the midpoint formula

Step-by-step explanation:

(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2

M = ( -3 , 0) which lies on the x axis

The midpoint M of ST lies on x axis is true

the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Given :

ST has endpoints  S(-6, -3) and T(0,3)

Lets find out the midpoint M using midpoint formula

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Here our (x1,y1) is (6,-3) and (x2,y2) is (0,3)

Now apply the midpoint formula to find out midpoint M

[tex](\frac{-6+0}{2}, \frac{-3+3}{2})\\(-3,0)[/tex]

So the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Learn more :https://brainly.com/question/24472059

Answer:

-4/5

Step-by-step explanation:

hope this helps

Answer: The slope is -4/5

Step-by-step explanation: Try finding 2 points on the graph that are on the line, then use the following formula, rise / run. The slope is -4/5.