evaluate (distributive property)


9*6= ? sixes + 4 sixes

=30 + ?

=???

Answer:

34200000

Step-by-step explanation:

the company made up all their losses which was 23.8 million and they added another 10.4 million in gains therefore we just add the two numbers to show how much more they earned in 2011.

Answer:

A, D, B, C.

Step-by-step explanation:

A probability will range between 0 and 1, 0 meaning that the event is impossible, 1 that the event is certain and 5 meaning it will happen half the time.

Therefore, the correct answer is:

A, D, B, C.

The per-student expenditure in 2024 is $14094.43.

A line's steepness and direction are measured by the line's slope.

As per the given data:

We are given the linear variation of student expenditures.

Expenditure in 1975 = $1300

Expenditure in 2011 = $10700

The expenditure is on the y-axis and the year is on the x-axis.

The increase in expenditure per year will be given by the slope of this graph.

slope = (10700 - 1300) / (2011 - 1975)

slope = 9400/36

slope = 261.11

increase in expenditure per year = $261.11

Expenditure in 2024

= Expenditure in 2011 + increase in expenditure per year × (24 - 11)

= 10700 + 261.11 × 13

= 10700 + 3394.43

= 14094.43

The per-student expenditure in 2024 is $14094.43.

Hence, The per-student expenditure in 2024 is $14094.43

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To answer the question, we need to convert cups to pints, now here is a way to remember the gallon, quarts, to pints, and to cups

In the Kingdom of Gallons (Write a big G on your paper)

Inside the G write 4 Qs

There were four Queens

Inside the Qs write 2 ps

Each Queen had to princess

In each princess write 2 Cs

And each princess has two Cats

Now we know that there is 2 Cups in each Pints so

since she sold 34 cups of juice in cups then we divide 34 by 2 to get

17 PINTS

Answer:

150 pints

Step-by-step explanation:

I believe you meant "By the end of the day, 3/4th of the quantity was sold."

Recall that 2 cups = 1 pint, so 400 cups = 200 pints, and

3/4 th of that would be 150 pints.

Answer:

B.  10

Step-by-step explanation:

A:

cost = 20 + 3x

B:

cost: 30 + 2x

20 + 3x = 30 + 2x

x = 10

Answer: y=x−2 y = x − 2

Step-by-step explanation:

Answer: x = -3

Step-by-step explanation:

2 x 2 + x - 1 = 0

4 + x - 1 = 0

3 + x = 0

x = -3

Answer:

X=-3

Step-by-step explanation:

See steps below:)

In the case of Jonas and his washing machine the independent variables are:

The dependent variables are:

The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.

Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.

The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.

According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.

For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.

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The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

Step-by-step explanation:

n

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:

B and C

Step-by-step explanation:

Both of these equationa can be used to find the length of each pencil

Answer: \(-12\)

Step-by-step explanation:

\(-x+y=-(10)+(-2)=-10-2=\boxed{-12}\)

Answer:

8.

Step-by-step explanation:

The median of any set of numbers is the middle-most number of the set when ordered from least to greatest. Ordering this set from least to greatest, we get "5, 5, 5, 8, 8, 9, 11." There are 7 numbers here, so the middle-most number is the 4th number, or 8. In the case that you have an even amount of numbers to choose, you take the average of the two middle-most numbers to find your median.

The median of the sample is the middle value of the data set which is number 8.

Median of the data set is the middle value of the data when data is arranged in the increasing order or decreasing order.

The data of the sample given in the problem is,

\(5, 5, 11, 9, 8, 5, 8\)

Arrange this data in the increasing order.

\(5, 5, 5, 8, 8, 9, 11\)

There is total 7 observation in the above data. The middle value will be the fourth number observation, which is 8.

Hence, the median of the sample is the middle value of the data set which is number 8.

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Answer:

Step-by-step explanation:

total sum of Triangle's angles is 180 deg:

than: x = 180 -61-56 = 63

Answer:

63 degrees

Step-by-step explanation:

All three angles in a triangle is always 180, so 180-61-56=63 degrees

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Have a great weekend!

Answer:

Radius = 5.996958 (They probably just want “6”).

Step-by-step explanation:

9.42x4=37.68 (perimeter)

Perimeter=2\(\pi\)r

37.68÷2\(\pi\)=r

5.996958=r

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.

Here we have:

\(f(x) = \sqrt{x}\)

first we want to evaluate it in x = 0, 1, 4, 9.

Doing that we get:

\(f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3\)

The other function is:

\(g(x) = \sqrt{x} -3\)

Evaluating in the same values of x.

\(g(0) = \sqrt{0} -3 = -3\\g(1) = \sqrt{1} -3 = -2\\g(4) = \sqrt{4} -3 = -1\\g(9) = \sqrt{9} -3 = 0\)

Then we can see that for all the values of x, g(x) is 3 units less than f(x).

Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

yes

Step-by-step explanation:

an expression is like an equation without the equal sign, or according to the Oxford Dictionary: "a collection of symbols that jointly express a quantity."

Answer:

Yes

Step-by-step explanation:

An expression is a collection of symbols that jointly express a quantity, which means a set of symbols that equals a number. a,b, and c are all variables, meaning that its a expression

Answer:

10

Step-by-step explanation:

We need to find how many trips it will take to transport 58 cars

The explanation is simple:

58 / 6 = 9.6 repeating

So we round that quotient up to 10.

So the transport truck will need to take 10 trips to transport all 58 cars.

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

Elsa- 29

Abdul- 44

Deon- 22

Step-by-step explanation:

This will be a little lengthy, but I think I made the explanation as clear as possible. Hope this helps!

In this problem, we are trying to find out how much money each person has. Right now, we know how much Elsa and Abdul have, but we do not know how much Deon has. To find the answer, first start by writing the names down.

Elsa-

Abdul-

Deon-

Now, we fill it with the information we know.

Elsa- d+7

Abdul- 2d

Deon- d

Now, we have to combine like terms.

d+7+2d+d=95

4d+7=95

Now, we subtract 7 on both sides.

4d=88

Finally, we divide 4 on both sides.

4d/4=d

88/4=22

d=22

Now that we have how much Deon has, we can plug the 22 into d from the previous names.

Elsa- 22+7

Abdul- 22x2

Deon- 22

The final answer would be:

Elsa- 29

Abdul- 44

Deon- 22

To check if this is correct, we can add 29+44+22.

29+44+22=95

Once again, I hope this helps and have a wonderful day!

Answer:

4 ( 4 + 4 + 4 )

Step-by-step explanation: