How do I solve equation 24=2a + 6

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According to the information, it can be inferred that the total matches that would be played in total are 160,461.

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

\(f(126) \approx 5.01333\)

Step-by-step explanation:

Given

\(\sqrt[3]{126}\)

Required

Solve using differentials

In differentiation:

\(f(x+\triangle x) \approx f(x) + \triangle x \cdot f'(x)\)

Express 126 as 125 + 1;

i.e.

\(x = 125; \triangle x = 1\)

So, we have:

\(f(125+1) \approx f(125) + 1 \cdot f'(125)\)

\(f(126) \approx f(125) + 1 \cdot f'(125)\)

To calculate f(125), we have:

\(f(x) = \sqrt[3]{x}\)

\(f(125) = \sqrt[3]{125}\)

\(f(125) = 5\)

So:

\(f(126) \approx f(125) + 1 \cdot f'(125)\)

\(f(126) \approx 5 + 1 \cdot f'(125)\)

\(f(126) \approx 5 + f'(125)\)

Also:

\(f(x) = \sqrt[3]{x}\)

Rewrite as:

\(f(x) = x^\frac{1}{3}\)

Differentiate

\(f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}\\\)

Using law of indices, we have:

\(f'(x) = \frac{x^\frac{1}{3}}{3x}\)

So:

\(f'(125) = \frac{125^\frac{1}{3}}{3*125}\)

\(f'(125) = \frac{5}{375}\)

\(f'(125) = \frac{1}{75}\)

So, we have:

\(f(126) \approx 5 + f'(125)\)

\(f(126) \approx 5 + \frac{1}{75}\)

\(f(126) \approx 5 + 0.01333\)

\(f(126) \approx 5.01333\)

Answer:

Step-by-step explanation:

5.4*10*10*10*10*10+6.7* 10*10*10*10

540,000+6.7*10,000

540,000+60,000

114,000=1.14*10^5

Answer:

Correct answer is 4 because the last 2 terms can be combined:

Step-by-step explanation:

4x3 + 9y2 – 3x + 2 – 1 = 4x3 – 3x + 9y2 + 1.

Answer:

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠B = 180° - A - C = 0.99484 rad = 57°

∠B = 57°

a = c·sin(A)/sin(C) = 527.21059

b = c·sin(B)/sin(C) = 811.83311

Answer:

the answer of the question is A

Answer:

A. 3x+12

Step-by-step explanation:

8x+3-5x+9

8x-5x=3x

3+9=12

then put them together

3x+12

answer= A

Answer:

1) 1 hour

2) 1 hour

3) 2 hours

Step-by-step explanation:

1 hour = 60 minutes

Therefore,

7/8 of an hour implies 7/8 of 60 minutes

7/8 * 60 = 420/8 = 52.5 Mins

52.5 is closest to an hour

5/6 of an hour implies 5/6 of 60 minutes

5/6 * 60 = 50 = 50 Mins

50 is closest to an hour

An hour + Anhour = 2 hours

Total: 2 hours

Answer:

the answer I think is a

Step-by-step explanation:

sorry if its wrong have a great day

Answer:

a 10

b 650

c 270

d60

e123 870

Answer:

Direction: Opens Down

Vertex:

(

−

2

,

−

1

)

Focus:

(

−

2

,

−

17

16

)

Axis of Symmetry:

x

=

−

2

Directrix:

y

=

−

15

16

x

y

−

4

−

17

−

3

−

5

−

2

−

1

−

1

−

5

0

−

17

Step-by-step explanation:

Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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Answer:

x = 13

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the 6 exterior angles and equate to 360

3x + 6 + 41 + 6x - 5 + 4x + 7 + 62 + 7x - 11 = 360

20x + 100 = 360 ( subtract 100 from both sides )

20x = 260 ( divide both sides by 20 )

x = 13

Answer:

Below in bold.

Step-by-step explanation:

< 1 = 122 degrees     (alternate angles)

< 2 = 180 - 122

     = 58 degrees        (adjacent angles)

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

Answer:

I believe the constant rate is 13

Step-by-step explanation:

I believe this because for each time you divided y/x you will get 13. But in the last one (146/12) it will be 12.16...  So it will show a constant rate if you round the answer of (146/12) but if you aren't supposed to round then there wont be a constant.

Hope  this helps! :)

Answer:

Mikhail is 24 years old

Step-by-step explanation:

Let, the Age of Mikhail = x Age of Gabrielle = x + 5It is given that, x + x + 5 = 532x = 53 - 5x = 48/2x = 24

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

It is very hard to see in the picture ...but it is the little angle at the bottom L by 'C'  I think it says 'a'    ( inside the triangle)

The inequality c - 7 > 3 is matched to the graph of its solution. The correct answer is option C.

As per the shown number line,

Here, the inequality is inclusive (c ≤ 10), and the point at 10 is included, so use a closed circle to mark the point.

An arrow extends to the left of the marked point. This arrow indicates all the values of c that are less than 10.

If the inequality is strict (c < 10), the arrow should be drawn with an open end.

Thus, the inequality c - 7 > 3 is matched to the graph of its solution.

Hence, the correct answer is option C.

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Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

two numbers such that 18 and 30 are multiples of these numbers are:

2 and 6.

First, remember that any real number can be decomposed as a product of prime factors, so let's do that with the two given numbers:

18 = 2*3*3

30 = 2*3*5

Then we can see that:

18 is a multiple of 2, 3, 2*3 = 6 and 3*3 = 9

30 is a multiple of 2, 3, 5, 2*5 = 10, 2*3 = 6, and 3*5 = 15

Then two numbers such that 18 and 30 are multiples of these numbers are:

2 and 6.

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There are 60 seconds in 1 minute, so 4 minutes would be:

4 minutes * 60 seconds/minute = 240 seconds

Therefore, it takes 240 seconds to complete the administrative task.

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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