1kg of sugar costs ₹25.30 . Find the cost of 13.5kg of sugar

Answer:

3x^3-4x^2+12x-6

Step-by-step explanation:

i hope this is right<3

Answer:

10, 14, 18

Step-by-step explanation:

We know that the nth term is '4n+6', so we just have to plug in whichever number we want for n, where n is the nth term in the sequence. The first term would be 4 * 1 + 6 = 10, the second term would be 4 * 2 + 6 = 14, and finally the third term would be 4 * 3 + 6 = 18. Therefore, your answer should be 10, 14, 18.

The value is [tex]\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right][/tex]

Clockwise Rotations (CW) mimic the path of a clock's hands.

Negative numbers are used to represent these rotations. Counterclockwise rotations (CCW) follow the path of a clock's hands in the opposite direction.

Now, rotating 90 degree clockwise we get

[tex]\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right][/tex]

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The explicit formula for the sequence is 3n -10

An arithmetic sequence is a series of terms which have  common difference between its consecutive numbers.

The sequence given is

−7, −4, −1, 2, 5, …

The common difference between each term is d =3

-4-(-7) = 3

-1-(-4) =3

The nth term for a sequence is given by

[tex]\rm T_n = a +(n-1)d[/tex]

Here a is the first term = -7

n is the no. of terms  = n

d is the common difference = 3

Therefore the equation will be

[tex]\rm T _n = -7 + (n-1) * 3[/tex]

[tex]\rm T _n[/tex] = -7 +3n -3

[tex]\rm T _n[/tex] = 3n -10

Therefore the explicit formula for the sequence is 3n -10 .

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The attached graph represents the graph of the equation 3x + y = 10

The given parameters are:

Represent the number of smoothies with x and the number of candy bears with y.

So, the equation is:

3x + 1y = 10

This gives

3x + y = 10

Next, we plot the graph of the above equation

See attachment for the graph of 3x + y = 10

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The line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Sarah is going to the movies, and she has $10 to spend on snacks. Smoothies are $3 and candy bars are $1 each. She will be spending all of the $10.

Let's suppose the number of smoothies is x and the number of candy bars is y:

Then, we can frame a linear equation in one variable:

3x + y = 10

Drawing the above the line on the coordinate plane:

Thus, the line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.

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Based on the calculations on the bisector of ST, the value of ST are equal to 38 and 30 respectively.

In order to determine the bisector of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

For exercise 1, we have:

ST = SM + MT

ST = 19 + 19

ST = 38.

For exercise 2, we have:

First of all, we would determine the value of x as follows;

3x - 6 = x + 8

3x - x = 8 + 6

2x = 14

x = 14/2

x = 7.

ST = SM + MT

ST = 3x - 6 + x + 8

ST = 3(7) - 6 + 7 + 8

ST = 30.

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Answer:

3 ÷ y

Step-by-step explanation:

Quotient refers to the division of two values, in this case 3 and y.

Answer:

3/y

Step-by-step explanation:

Answer:

1630

Step-by-step explanation:

In words you are looking for 6% of what number is 97.80, turn that into an Algebra equation .06x = 97.80 so x = 97.80/.06 so x = 1630

Answer:

B

Step-by-step explanation:

Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.

The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.

∠5 and ∠6 are a linear pair. Therefore:

m∠5 = 180 - m∠6

m∠5 = 180 - 97

m∠5 = 83°

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Answer:83 degrees

Step-by-step explanation:topG

Answer:

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

 7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]

[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]

[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]

So, the lines are parallel and has no solution

Answer:

6 to 9 meals

Step-by-step explanation:

9 If he feeds 2 pounds per meal. 18÷2 =9

6 if he feeds 3 pounds per meal. 18÷3=6

Answer:

angle CAD

Step-by-step explanation:

look at the 3 points that make up the angle

Answer:

this is step by step explenation

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Answer:

The height of the balloon at 09 18 =  788.4 meters.

Step-by-step explanation:

As the hot air balloon is descending.

and the height of the balloon n minutes after it starts to descend is [tex]h_{n}[/tex]

meters.

The height of the balloon (n +1) minutes after it starts to descend, [tex]h_{n+1}[/tex]meters, is given by

[tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex] where K is a constant

Here the balloon starts to descend from a height of 1200 meters at 09 15

So [tex]h_{n}[/tex]=1200 meters

At 09 16 the height of the balloon is 1040 meters.

So  [tex]h_{n+1}[/tex]= 1040 meters

the height of the balloon at 09 18 = [tex]h_{n+3}[/tex] meters

now  [tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex]

k = [tex]\frac{h_{n+1 }-20 }{h_{n} }[/tex]

k= (1040 - 20) ÷ 1200

k = 0.85

Now [tex]h_{n+2}[/tex] = (0.85 × 1040) +20 =904 meters

Similarly  [tex]h_{n+3}[/tex] = (0.85 × 904) +20 = 788.4 meters.

Therefore the height of the balloon at 09 18 =  788.4 meters.

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Answer: (6, -31)

Explanation: See attachment

Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

Let x represents hours babysitting and y represents hours tutoring

So, we have:

Earnings = Rate of babysitting * x + Rate of tutoring* y

This gives

Earnings = 5x + 10y

He wants to earn at least $95.

This means that:

5x + 10y ≥ 95

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)

This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

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Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

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Answer:

865

Step-by-step explanation:

if minus than answer

[tex] {a}^{4} \: - \: {a}^{3} \: + \: {2a}^{2} [/tex]

[tex] \boxed{ \bold{ {a}^{2} \: \times \: ( {a}^{2} \: - \: a \: + \: 2)}}[/tex]

Answer:

a²​(a²​-a+2)

Step-by-step explanation:

Solution Given:

a⁴-a³+2a²​

first taking common a²​

we get

a²​(a²​-a+2) which is a required answer.

An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation, K = 4a + 9ab can be solved for a as shown below,

K = 4a + 9ab

K = a(4+9b)

a = K/(4+9b)

Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

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Answer:

5

Step-by-step explanation:

Count the digits.

The volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.

Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)

Now, radius [tex](r)=\frac{d}{2} =18 meters[/tex]

[tex]\pi =3.14[/tex]

We know that, the volume of the cylinder[tex]=\pi r^{2} h[/tex]

[tex]=3.14\times 18^{2} \times 6 m^{3}[/tex]

[tex]=6,104.16 m^{3}[/tex]

Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].

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The first five terms of the geometric series is : -2, -6, -18, -54, -162.

Given :  [tex]a_{5} = -162[/tex]

[tex]a_{2} = -6[/tex]

We know G.P. series always increases in the form [tex]a.r^{n-1}[/tex]

Similarly, [tex]a_{5} = a.r^{5-1} = a.r^{4} = -162[/tex]

[tex]a_{2} = a.r^{2-1} = a.r = -6[/tex]

Now, [tex]\frac{a_{5} }{a_{2} } = \frac{a.r^{4} }{a.r^{1} } = r^{4-1}[/tex]

[tex]r^{3} = \frac{-162}{-6} = 27[/tex]

[tex]r = \sqrt[3]{27} = 3[/tex]

Now,

[tex]a_{2} = a.r = -6\\a.(3) = -6\\a = -2[/tex]

The first 5 terms are  :  [tex]a, a.r, a.r^{2} , a.r^{3} , a.r^{4}[/tex]

[tex]-2 , (-2).3 , (-2).3^{2} , (-2).3^{3} , (-2).3^{4}[/tex]

Therefore, The first 5 terms are  : -2, -6, -18, -54, -162.

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Answer:

The answer is B=10 and the top is called hypothenus

Answer:

x = 10

Step-by-step explanation:

The given is a right triangle, in right triangles the sum of square value of two legs (base and height) is equal to square value of hypotenuse.

Now, know the value of base and hypotenuse are 24  and 26

let x represent the missing side:

26^2 = x^2 + 24^2

676 = x^2 + 576 subtract 576 from both sides

100 = x^2 find the root of both sides

10 = x this is the length of the missing side

Answer:

(-4,-2)

x=-4

y=-2

Step-by-step explanation:

-3x-4y=20

3(x-10y=16)=3x-30y=48

The reason I multiplied 3 to the second equation is for when we add the equations together the x will cancel out.

  -3x-4y=20

+  3x-30y=48

  -34y=68

Divide -34 from both sides.

y=-2

To find x you need to plug in -2 for y into one of the equations.

x-10y=16

x-10(-2)=16

Remember a negative times a negative equals a positive.

x+20=16

Subtract 20 from both sides.

x=-4

Hope this helps!

If not, I am sorry.

Answers:

5.) Yes it is, you add each one to itself to get the next number

6.) Yes, you subtract 5 from each number

7.) yes, you add 1.50 to each number

8.) Yes, you add 50 to each number

9.) No, they do not follow a pattern

10) Yes, you divide by 5 every time.

Answer:

26% increase

Step-by-step explanation:

Initial temperature= t

5% increase= t+ 5%= 1.05t

20% increase= 1.05t +20%= 1.05t*1.2= 1.26t

1.26 t= t + 26%

So temperature increased by 26%

Answer:

See attached image

Step-by-step explanation: