Accounting ◆ QUESTION: 2 The information below relates to Winelands Ltd for the year ended 28 February 2021.The company was registered with an authorised share capital of 1 000 000 shares. 600 000 of these shares were in issue on 1 March 2020, the beginning of the current financial year. 13 NSC Grade: 12 (TERM: 1) COMPANIES LEDGER ACCOUNTS REQUIRED: 2.1. Prepare the following accounts in the General Ledger. - Ordinary share capital >> Retained income NOTE: Close off all these accounts correctly at the end of the year. INFORMATION: A. Balances in the ledger on: Ordinary share capital Retained income Shares 28 February 2021 R ? 28 February 2020 R 2 100 000 737 100 - On 31 August 2020 all the unissued shares were issued at 500 cents per share. On 30 November 2020 the directors repurchased 120 000 shares at 620 cents per share from a retired shareholder. This shareholder originally purchased his shares on the JSE at various times and at different prices over the past years.​

Answer:

264

Step-by-step explanation:

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

Answer:

  x = √65

Step-by-step explanation:

You are given a right triangle with leg lengths 4 and 7, and you are asked for the length of the hypotenuse, x.

The Pythagorean theorem relates the lengths of the sides of a right triangle. It tells you the square of the hypotenuse (x²) is the sum of the squares of the other two sides.

  x² = 4² +7² . . . . . . . . . Pythagorean relation

  x² = 16 +49 = 65 . . . evaluate the expression

  x = √65 . . . . . . . . . . take the square root

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Answer:

8

Step-by-step explanation:

f(x) = 2x + 8

x=0

f(0) = 2(0) + 8

f(0)=0+8

f(x)=8

Answer:

8

Step-by-step explanation:

f(x)=2x+8

x=0

f(0)=2(0)+8

f(0)=0+8

F(0)=8

The value of n(AUB) i.e. union of A and B is 53.

What are Intersections and Unions in Probablity?

The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."

Solution:

Given that,

n(A) = 14

n(B) = 51

n(A∩B) = 12

We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)

Putting the values,

n(AUB) = 14 + 51 - 12 = 53

So, the answer for the value of n(AUB) = 53

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Answer:

king, queen, jack, ace

Step-by-step explanation:

this depends on what game's rules and scoring you're using, but I'd say the face cards

Evaluating when \(\( n = 1 \)\), the value of S is: S = 1

Evaluate:

\(\[ S = 108(2)^{n-1} \]\)

When n = 1.

Remember: For a geometric series, the sum can be calculated using the formula:

\(\[ S = 108(2)^{n-1} \]\)

In this case, we have r = 2, since each term is multiplied by 2 to get the next term.

Substituting the values into the formula, we get:

\(\[ S = \frac{{(1 - 2^n)}}{{1 - 2}} \]\)

Simplifying further:

\(\[ S = \frac{{1 - 2^n}}{{-1}} \]\)

Since the denominator is -1, multiplying the numerator and denominator by -1, we get:

\(\[ S = 2^n - 1 \]\)

Therefore, when \(\( n = 1 \)\), the value of S is:

S = \(2^1\)- 1 = 2 - 1 = 1

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Answer: X=6 AB= 52

Step-by-step explanation:

7x + 10 = 9x -2 (because the sides are equal) & solve.

subtract the 7x on both sides.

10 = 2x -2

add 2 on both sides

12 = 2x

divide by 2

x = 6

Answer:

x = 4

AB = 52

Step-by-step explanation:

The dashes on the line segments AB and BD mean that they are equal in length.

⇒ 7x + 10 = 9x - 2

Add 2 to both sides:

⇒ 7x + 10 + 2 = 9x - 2 + 2

⇒ 7x + 12 = 9x

Subtract 7x from both sides:

⇒ 7x + 12 - 7x = 9x - 7x

⇒ 12 = 2x

Divide both sides by 2:

⇒ 12 ÷ 2 = 2x ÷ 2

⇒ 6 = x

⇒ x = 6

Substitute x=6 into the expression for AB to find the length of AB:

⇒ AB = 7(6) + 10

⇒ AB = 42 + 10

⇒ AB = 52

Using Vieta's Theorem the value of c = 72.

Suppose we have a quadratic equation, in the following format:

ax² + bx + c, were a, b, and c are constant.

The roots are p and q.

As, The Theorem states that:

p + q= -b/a

pq= c/a

We have given the polynomial  x²-17x+c=0

So, a= 1, b= -17

Since the difference of the solutions is 1, we have that:

p -q= 1

p = 1+ q

Now, using p + q= -b/a

1 + q + q= -(-17)/1

2q +1 = 17

2q= 16

q= 16/2

q= 8

and, p = 1+ q= 9

Again pq = c/a

8 x 9 = c/1

c= 72

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The probability that the sum exceeds 5 is P ( A ) = 0.6111

Given data ,

To find the probability of getting two numbers whose sum exceeds 5 when rolling a single die twice, we need to count the number of outcomes where the sum of the two numbers is greater than 5, and then divide that by the total number of equally-likely outcomes.

The outcomes where the sum exceeds 5 are:

(2, 4), (2, 5), (2, 6)

(3, 3), (3, 4), (3, 5), (3, 6)

(4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

There are 22 outcomes where the sum exceeds 5 out of a total of 36 equally-likely outcomes.

So, the probability of getting two numbers whose sum exceeds 5 when rolling a single die twice is:

P(sum > 5) = 22 / 36 ≈ 0.6111 or approximately 61.11 %

Hence , the probability is P ( A ) = 0.6111

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The complete question is attached below :

A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.Find the probability of getting two numbers whose sum exceeds 5

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

x=1/12

Step-by-step explanation:

Answer:

x = 1/12

Step-by-step explanation:

8x = 2/3

divide both sides of the equation by 8:

x = 2/24 = 1/12

Answer:

Step-by-step explanation:

A

Answer:

Carole is 15

Joe is 3

Step-by-step explanation:

Carole's age is 15

Joes age is 3

3*5=15

15+3=18

Answer:

Carole = 15 Yrs

Joe = 3 Yrs

Step-by-step explanation:

15/5 =3

15+3 =18

Sry for the short explanation. Hope this helps!

The missing angles on the figure are as follows

The  missing angles ae solved as follows

v = y vertical angles theorem

Examining the figure shows that

v + 90 = 180 angle on a straight line

hence v = 180 - 90 = 90

so we can say that v = y = 90

Also, y + 38 + z = 180 angles in a triangle

90 + 38 + z = 180

z = 180 - 90 - 38

z = 52 degrees

furthermore, w = x base angle of isosceles triangle

w + x + v = 180

w + x + 90 = 180

w + x = 90

hence w = x = 45 degrees

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Answer:

it should be 2/12 and 9/11

Step-by-step explanation:

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

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There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Kira has $19, Boris has $75, and Deshuan has $25.

We will denote as follows:

From information, we can set up equations:

B = 3D (Boris has 3 times what Deshuan has)

D = K + 6 (Deshuan has $6 more than Kira)

K + B + D = 119 (The total amount of money they have is $119)

Substituting equation 2 into equation 1, we have:

B = 3(K + 6)

Substituting equations 1 and 2 into equation 3:

K + 3(K + 6) + (K + 6) = 119

K + 3K + 18 + K + 6 = 119

5K + 24 = 119

5K = 119 - 24

5K = 95

K = 95 / 5

K = 19

Using equation 2, we can find D:

D = K + 6

D = 19 + 6

D = 25

Using equation 1, we can find B:

B = 3D

B = 3 * 25

B = 75.

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Answer:

\(P(x\geq 3)=0.3233\)

Step-by-step explanation:

If the number of defects in poured metal follows a Poisson distribution, the probability that x defects occurs is:

\(P(x)=\frac{e^{-m}*(m)^{x}}{x!}\)

Where x is bigger or equal to zero and m is the average. So replacing m by 2, we get that the probability is equal to:

\(P(x)=\frac{e^{-2}*(2)^{x}}{x!}\)

Finally, the probability that there will be at least three defects in a randomly selected cubic millimeter of this metal is equal to:

\(P(x\geq 3)=1-p(x\leq 2)\\\)

Where \(P(x\leq 2)=P(0)+P(1)+P(2)\)

So, P(0), P(1) and P(2) are equal to:

\(P(0)=\frac{e^{-2}*(2)^{0}}{0!}=0.1353\\P(1)=\frac{e^{-2}*(2)^{1}}{1!}=0.2707\\P(2)=\frac{e^{-2}*(2)^{2}}{2!}=0.2707\)

Finally, \(P(x\leq2)\) and \(P(x\geq3)\) are equal to:

\(P(x\leq 2)=0.1353+0.2707+0.2707=0.6767\\P(x\geq 3)=1-0.6767=0.3233\)

pizza

first the dough

then the sause

then the cheese

then the bacon

then the pineapple ‍♂️

Answer:

love ya you special person

Part A: the number of cucumbers is 11.

Part B: the number of avocados is 8.

Part A:

Let x is the number of cucumbers .

Then,

3x - 7 = 26,

3x = 26+7,

3x = 33,

x = 33/3,

x = 11.

Thus, the number of cucumbers is 11.

Part B:

Let x is the number of avocados.

3x - 7 = x + 9

3x - x = 9 + 7

2x = 16

x = 8

Thus, the number of avocados is 8.

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