work out the weekly mean number of 50 kg bags of flour used in these 5 weeks

Kim is a baker, she buys flour in 50kg bags.
weeks 1 2 3 4

NO of bags of flour 7 14 8 13

Kim will make 2400 loaves in week 5
Each of these loaves will need 250g of lour

Kim works out weekly mean number of 50kg bags of flour used in these 5 weeks.
she will use the figure for future orders.

The perimeter and volume of the given composite figure is:

Perimeter = 89 units

Volume = 216 cubic. units

The perimeter of the composite figure is defined as the boundary length around the composite figure.

Thus:

Perimeter = 4(6) + 4(5) + 5(9)

Perimeter = 24 + 20 + 45

Perimeter = 89 units

Now, volume of a cuboid = Length * Width * Height

Thus:

Volume of cuboid = (5 * 9 * 6) - (3 * 2 * 9)

Volume = 270 - 54

Volume = 216 cubic. units

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Answer:

2.9

Step-by-step explanation:

Hope this helps:)

The graph could be the graph of exponential function of option b)

\(F(x) = 2 • (0.5)^{x} \)

The general form of an exponential function is

\(f(x) = {ab}^{x} \)

Here, a is the function's starting value and b is its growth factor.

F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function

The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.

Given that the graph indicates that the function is decreasing, b must be less than 1.

It indicates that the necessary function is in the form of

\(f(x) = 2(b)^{x} \)

Where it is b<1

By checking option B, b=0.5<1. Hence, option B is the correct answer

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Note that the full question is:

(check the attached image)

Answer:

40

Step-by-step explanation:

product of 5 and the difference between 15 and 7.

= 5(15-7)

= 5(8)

= 40

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

Finding the coordinates of point A:

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x  = -2                 [adding 2 on both sides]

Also,

y - 3 = 3

y  = 6                 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

Finding the coordinates of B:

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2             [adding 2 on both sides]

also,

y-3 = 2

y = 5             [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

Finding the coordinates of C:

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2  

x = 0            [adding 2 on both sides]

y - 3 = 3

y = 6            [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

__________________________________________________________

2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6)   ,    B(-2,-5)   ,    C(0,-6)

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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The probabilities are:

1. P(yellow) = 2/5

2. P(red) = 3/10

3. P(blue) = 3/10

4. P(blue or yellow) = 7/10

5. P(red or blue) = 3/5

To find the probability that a person in each color seat would receive the free tickets, we need to calculate the probabilities of each event.

1. P(yellow): There are 8 yellow seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a yellow seat at random is P(yellow) = 8/20 = 2/5.

2. P(red): There are 6 red seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a red seat at random is P(red) = 6/20 = 3/10.

3. P(blue): There are 6 blue seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a blue seat at random is P(blue) = 6/20 = 3/10.

4. P(blue or yellow): To calculate the probability of selecting a blue or yellow seat, we add the individual probabilities of selecting a blue seat and a yellow seat: P(blue or yellow) = P(blue) + P(yellow) = 3/10 + 2/5 = 7/10.

5. P(red or blue): To calculate the probability of selecting a red or blue seat, we add the individual probabilities of selecting a red seat and a blue seat: P(red or blue) = P(red) + P(blue) = 3/10 + 3/10 = 6/10 = 3/5.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

If the probability that Abel wins a game is 5/8, then the probability that he loses the game is 1 - 5/8 = 3/8. If Abel plays the game 80 times, then he can expect to win the game 5/8 * 80 = 40 times, because the expected value of a probability is the probability times the number of trials. Therefore, Abel can expect to win the game 40 times if he plays it 80 times.

Answer:

A - The exponent of 3 is 7/9.

Step-by-step explanation:

The expression 3^(7/9) can be read as "3 to the power of 7/9".
This means that the number 3 is being multiplied by itself 7/9 times.

For example
3^(2/3) can be written as cube root of 3, cube root of 3 is equal to 3^(1/3) .

When the exponent of an expression is a fraction, it can be written in radical form, with the denominator of the fraction as the index of the radical. However, it's not true in this case as the index is not 9 but 7.

So, the correct answer is A - The exponent of 3 is 7/9.

Answer:

9.375

Step-by-step explanation:

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

x = 8

Step-by-step explanation:

These are corresponding angles, and they are equal to one another.

\(7x+3=3x+35\\4x+3=35\\4x=32\\x=8\)

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

$7.75 per hour

Step-by-step explanation:

10 days x 8 hours = 80 hours

$620/80 hours = $7.75 per hour

Answer:

$7.75 per hour

Step-by-step explanation:

8 x 10 =80

$620=80 hours

÷80 ÷80

$7.75=1 hour

ok

We got 2x + y = 0 and x < 0

So the ponit must be in the second or third quadrangle.

2x = -y

x = -y/2

So y is 1 half of x, so if x = 1 y = -0.5

finding the hypothenuse h ^2 = (-1)^2 + (-0.5)^2

h^2 = 1 + 0.25

h^2 = 1-25

h = 1.12

then x = -1 y = 0.5 and h = 1.12

sen 0 = 0.5/1.12 = 0.45

cos 0 = 1/ 1.12 = 0.89

tan 0 = 0.5/1 = 0.5

ctg 0 = 1/0.5 = 2

sec 0 = 1.12/1 = 1.12

csc 0 = 1.12 / 0.5 = 2.24

a. The given information is:

-The cost of airsoft is $18.99 each hour

- The cost of equipment rental is $5.99

Let h represent hours, then the equation that represents the word problem is:

Where A is the cost to play airsoft.

b. The given information is:

-Paintball costs 35 each hour

-There is no rental fee

P is the cost to play paintball and h represents hours.

The equation that represents the word problem is:

The value of 3.52 × 2.5 is 8.8

Multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations.

For example if there are 10 groups and 5 mangoes are put in each group, the total number of mangoes in the region is calculated as;

10groups × 5 mangoes each

= 50mangoes

Similarly , solving 3.52 × 2.5

changing both of the term to whole number we multiply both term by 100.

Therefore , it will be 352 × 250. It will be easier to solve this way.

Therefore 352 × 250 = 88000

we can divide the answer by 10000 again

= 88000/10000 = 8.8

therefore 3.52 × 2.5 = 8.8

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Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

C

Step-by-step explanation:

cot²θ = 1/tan²θ

plug this in to get

1/(1/tan²θ + 1)

1/tan²θ + 1 = 1/tan²θ + tan²θ/tan²θ = (1+tan²θ)/tan²θ

we then have

1/((1+tan²θ)/tan²θ)

1/(x/y) = y/x, so this is equal to

tan²θ/(1+tan²θ)

tan²θ = sin²θ/cos²θ, so plug this in to get

(sin²θ/cos²θ)/(1+sin²θ/cos²θ)

1+sin²θ/cos²θ = cos²θ/cos²θ + sin²θ/cos²θ

sin²θ + cos²θ = 1, so we have

(cos²θ+sin²θ)/cos²θ = 1/cos²θ. plug this in to get

(sin²θ/cos²θ)/(1/cos²θ)

(a/b)/(c/d) = (d/c) * (a/b), so we have

(sin²θ/cos²θ)/(1/cos²θ)  = cos²θ/1 * sin²θ/cos²θ = sin²θ

Step-by-step explanation:

(x1,y1) = (6,-1)

(x2,y2) = (3,-7)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y + 1)/(-7 + 1) = (x - 6)/(3 - 6)

(y + 1)/-6 = (x - 6)/-3

(y + 1)/2 = (x - 6)/1

y + 1 = 2(x - 6)

y = 2x - 12 - 1

y = 2x - 13

Answer: A, 4 inches.

Step-by-step explanation: 36 divided by 9 is 4.

Answer:

10i-27

Step-by-step explanation:

(i-3)+6i-3(8-i)

(i-3)+6i-24+3i

(i-3)+9i-24

10i-3-24

10i-27

Answer:

-27 + 10i

Step-by-step explanation:

Answer with Step-by-step explanation:

1. 6x-3y+8x-(-4y-3y)

14x-3y+4y+3y

14x+4y

1+8a/4-3+2a

-2+2a-2a

-2a

After substituting x = -1/2 in f(x), the value of the function f(-1/2) is found to be 5.333.

A function from a set X to a set Y assigns exactly one element of Y to each element of X.

The set X is known as the function's domain, and the set Y is known as the function's codomain.

The given function is f(x) = -2/3x +5.

To obtain f(-1/2), we must substitute the value of x with -(1/2).

f(x) = -2/3x +5

f(-1/2) = -2/3×(-1/2) + 5

f(-1/2) = (2/6) + 5

f(-1/2) = 0.333 + 5

∴ f(-1/2) = 5.3333

Therefore, the value of the function f(-1/2) obtained after substituting        x = -1/2 is 5.333.

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The total mass of the clips is 3.616×10¹ mg.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The mass of a paper clip = 8.0×\(10^-4\) mg

Total number of clips = 4.52×10⁴

Total mass = number of clips × mass of clip

total mass =  8.0×\(10^-4\) ×  4.52×10⁴

                 = 36.16

                 = 3.616×10¹

Total mass is 3.616×10¹ mg.

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