The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
aIn how many ways can the two awards be given if:

1. if the same student can receive both awards?
2.if the same student cannot receive both awards?

1. matter is made up of what atoms and molecules are made of, meaning anything made of positively charged protons, neutral neutrons, and negatively charged electrons.

2.Atoms comprise of the nucleus (which contains protons and neutrons) and electrons. Conversely, a molecule comprises of two or more, identical or different atoms, combined chemically.

3. Pure substances cannot be separated into any other kinds of matter, while a mixture is a combination of two or more pure substances.

4. A compound is a pure substance composed of two or more different atoms chemically bonded to one another.

hope this helps!

Setting up algebraic equations to represent the costs of each club, one can solve for the number of months where the costs are the same. The cost of both health clubs is equal for 11 months.

In mathematics, problems like this can be solved using algebra, setting the cost of club 1 equal to the cost of club 2 and then solving for the variable, in this case, the number of months for which the costs are equal. Club 1 charges a $44 sign-up fee and $30 per month, which can be written as 44 + 30m (where 'm' represents the number of months). Club 2 charges a $99 sign-up fee and $25 per month, which can be written as 99 + 25m. Set these two equations equal: 44 + 30m = 99 + 25m and solve for m. Subtract 25m from both sides to get 5m = 55, then divided both sides by 5 to find m = 11. So, the cost of membership at these two health clubs is the same for 11 months.

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The number is 400.

To find out how many hundreds Mai has, let's understand that each ten is equal to 10. So, if Mai has 40 tens, we can calculate how many ones that is in total:

40 tens * 10 = 400 ones

Now, since there are 100 ones in one hundred, we divide the total number of ones by 100 to find out how many hundreds Mai has:

400 ones / 100 = 4 hundreds

So, Mai has 4 hundreds.

Now, let's write the number:

If Mai has 4 hundreds, it means the digit in the hundreds place is 4. Since she has no tens, the digit in the tens place is 0. And since she has no ones, the digit in the ones place is 0.

I think the answer to this question is 306,040,608. If we are supposed to write it out then it is (3 × 100,000,000) + (6 × 1,000,000) + (4 × 10,000) + (6 × 100) + (8 × 1)

To undo a square root in an equation, you square both sides of the equation. This will eliminate the square root on one side and gives you the original value under the square root. It simplifies the equation, making it easier to solve.

To undo a square root in an equation that includes a radical expression, you have to square that part of the equation. Here is an example to illustrate this:

Suppose you have the equation √x = 2. To undo the square root, you need to square both sides of the equation: (√x)² = 2². This operation results in the equation x = 4.

Remember, when squaring a square root, the result is the original number under the radical. Therefore, the process of 'undoing' the square root is to square the radical expression. This helps us to have equations in a simpler form, which further makes it easier for us to solve.

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Not 100% sure, but i think the answer is A. 1,365, Sorry if i get you wrong.

Squares have equal side lengths, so that is why the question is only asking for one side length.

The area of a square is calculated using the formula s^2, where s stands for a side of the square.

To find the length of one side of the park, you can take the given area (3,600 m^2) and square root it. This would give you the length of one side of the square park.

√3,600 = 60

The length of one side of the park is 60 meters.

The length of one side of the square park with an area of 3600 square meters is 60 meters.

Given that the area of the square park is 3600 square meters, we can calculate the length of one side by taking the square root of the area. This is because the area of a square is calculated by squaring the length of one side (side length X side length). So, if we reverse this process by taking the square root, we find the length of one side.

So, "the length of one side of the park is the square root of 3600 which equals 60 meters".

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You would just subtract/add like you normally would from left to right because its a subtract and add operation.

Hope that helps :)

Tracereed,

In order to solve this question you have to divide 34 by 100 then divide that by 510.

Therefore "173.4 is 34% of 510!"

Hope this helps!

To find 34% of 510, first write 34% as a decimal by moving the decimal point two places to the left to get .34.

Next, the word "of" means multiply, so we are going to multiply.

(.34) (510) = 173.4

Therefore, 34% of 510 is 173.4.

We can see here that Paula will need 5 packages of small juice boxes and 3 packages of yogurt treats to have the exact same number of each item, resulting in a total of 30 juice boxes and 30 yogurt treats.

Since small juice boxes come in packages of 6 and yogurt treats come in packages of 10, Paula wants to have the exact same number of each item. This means that both the number of juice boxes (J) and the number of yogurt treats (Y) must be multiples of the least common multiple (LCM) of 6 and 10.

The LCM of 6 and 10 is 30.

So, Paula needs to have a multiple of 30 for both the number of juice boxes and the number of yogurt treats.

To find the values of J and Y, we can choose any multiple of 30.

Let's say Paula decides to have 30 juice boxes (J = 30) and 30 yogurt treats (Y = 30).

Now, let's find out how many packages of each she will need:

For juice boxes (packages of 6): J / 6 = 30 / 6 = 5 packages

For yogurt treats (packages of 10): Y / 10 = 30 / 10 = 3 packages

So, Paula will need 5 packages of small juice boxes and 3 packages of yogurt treats to have the exact same number of each item, resulting in a total of 30 juice boxes and 30 yogurt treats.

For this case we have:

As both measurements are in kilometers, we can compare both numbers.

It is known that [tex]2.07> 2.063[/tex]

Thus, the longest bridge is bridge 2.

To know the difference in length between the bridges, we subtract the quantities:

[tex]2.07-2.063 = 0.007[/tex] kilometers difference

The difference between the two bridges is 0.007 km

Answer:

The longest bridge is bridge 2

The difference in length between the bridges of 0.007 km

The Anping Bridge is 0.007 kilometers or 7 meters longer than the Walkway Over the Hudson.

The Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063 kilometers long. The Anping Bridge, which was built 850 years ago, is 2.07 kilometers long.

Therefore, the Anping Bridge is longer than the Walkway Over the Hudson by 0.007 kilometers or 7 meters.

To calculate the difference in length, subtract the length of the Walkway Over the Hudson from the length of the Anping Bridge.

7 meters or 0.007 kilometers

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-3 should be you answer!

the answer is (a-3)

Graph the inequality on a number line g>2.75

Solution

Step 1: To graph this inequality, we have to draw a number line.

Step 2: Mark the 0 in the middle and mark the each unit 0.25 so that, we can plot 2.75 exactly.

Step 3: Draw an open circle at 2.75 and extent the shadow to the right, which means the solution is greater than 2.75.

Note: Attached the graph. Please take a look at it.

Thank you :)

To graph the inequality "g > 2.75" on a number line, follow these steps. Start by drawing a horizontal number line. see image attached.

To draw the inequality "g > 2. 75" on a number line, do the following steps.

Begin by making a straight line that goes from left to right. Find the spot 2. 75 and make a mark with a circle that is not filled in because the inequality is more than (not the same as).

Then, shade the region to the right of the open circle to represent all values of "g" that are greater than 2.75. This shaded area indicates the solution set. The open circle emphasizes that 2.75 itself is not included in the solution, only values greater than it.

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The answer is

“A property of the real numbers states that if the numbers are grouped in a sum or in the form of its product, the value does not change.

a(b + c) = ab + ac, or a(b - c) = ab - ac”

Distributive property states that we can multiply each term outside the parenthesis with the term present inside the parenthesis. It involves multiplication and addition or multiplication and subtraction. In mathematics, distributives property is frequently used.

Some examples of distributive property are:

3 (1 + 3) = 3. 1 + 3. 3

4 (2 – 1) = 4.2 – 4.1

Answer:

b

Step-by-step explanation:

C = πd ( in terms of the diameter ), C = 2πr ( in terms of the radius )

[tex]-4 < 2x-2 < 14\qquad|+2\\\\-2 < 2x < 16\qquad|:2\\\\-1 < x < 8[/tex]

The answer is (2, 1)

We can solve this by using midpoint formula

[tex]M = (x_{1} + x_2)/2, (y_1 + y_2} ) /2[/tex]

because in a plane the coordinates of midpoint of a line is the average of each other coordinates.

So,

[tex]x_1 = -1, x_2 = 5[/tex]

[tex]y_1 = 0. y_2 = 2[/tex]

Putting values in formula as

[tex]M = (-1+5) / 2, (0+2) / 2[/tex]

[tex]M = (2, 1)[/tex]

Answer:  The required co-ordinates of the endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint of CD is E (-1,0) and one endpoint is C (5,2).

We are to find the co-ordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the endpoint D.

We know that

the co-ordinates of the midpoint of a line segment withe endpoints (a, b) and (c, d) is given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the endpoint D are (-7, -2).

The correct answer is none of the ones listed. The correct answer is 18/5.

In order to find this, follow the order of operations.

−(−2−5x)+(−2)=18 ---> Distribute the negative

2 + 5x - 2 = 18 ----> Combine like terms

5x = 18 -----> Divide by 5

x = 18/5

20 - 8 = 12

Hope this helps

-AaronWiseIsBae

That equals 12. The reason is because 20-8 is twelve.

The third graph in the image is showing the best results of the inequality 5 x + 10 y ≤ 5,000.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that than $5,000 on raw materials for recliners. The raw materials cost $5 per square foot of cloth and $ 10 per foot of wood. To summarize the situation, a worker writes the inequality: 5 x + 10 y ≤ 5,000.

The inequality is graphed and the graph is attached with the answer below with the answer.

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When you add them together you get 238.

Answer,

-1/9 + -5/9 = -2/3

Hope this helps :-)

I think the relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional because :

Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.

The relationship between Standard stack and number of sheet is proportional.

Therefore, relationship between them is proportional

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4,002,000

answer is D

By Subtracting the given Expression 9,002,000 - 5•[tex]10^6[/tex] we get Option C. 4.002 x [tex]10^4[/tex].

To subtract 5 • [tex]10^6[/tex] from 9,002,000, we simply perform the arithmetic operation as follows:

9,002,000 - 5 • [tex]10^6[/tex]

Step 1: Subtract 5 • [tex]10^6[/tex] from 9,002,000

= 9,002,000 - 5 • [tex]10^6[/tex]

= 9,002,000 - 5,000,000

Step 2: Perform the subtraction

= 9,002,000 - 5,000,000

= 4,002,000

Now, we have the result of 4,002,000. However, we need to write this answer in scientific notation.

In scientific notation, a number is written as a product of two parts: a coefficient and a power of 10. The coefficient must be greater than or equal to 1 and less than 10.

To express 4,002,000 in scientific notation, we move the decimal point to the left until we have a number between 1 and 10.

Since 4,002,000 = 4.002 × 1,000,000, we can write it as 4.002 × [tex]10^6[/tex].

However, our options are given in terms of powers of 10 from [tex]10^3[/tex] to [tex]10^6[/tex]. We can rewrite 4.002 × [tex]10^6[/tex] as 4.002 × ([tex]10^6[/tex] ÷ [tex]10^2[/tex]) = 4.002 × [tex]10^{(6-2)}[/tex]

                                                                                = 4.002 × [tex]10^4[/tex].

Therefore, the correct answer is option C, 4.002 × [tex]10^4[/tex].

In summary, to find the result of 9,002,000 - 5 • [tex]10^6[/tex], we perform the subtraction to get 4,002,000, and then we express it in scientific notation as 4.002 × [tex]10^4[/tex]. Option C is the correct choice.

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Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).

Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.

You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)

In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8

Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

-1 1/5 + 3/4 = -0.45

1/5 is 0.2 in decimal form, and 3/4 is 0.75:

-1.2 + 0.75 = -0.45

Hope this helps!

First make into improper fraction

-6/5 +3/4

Then find common denominator= 20

-24/20 +15/20 = -9/20

Hello there!

[tex]4v - 1 = -5v - 10[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to add by 1 from both sides of the equation.

[tex]4v-1+1=-5v-10+1[/tex]

Simplify

[tex]4v=-5v-9[/tex]

Then you add by 5v from both sides of the equation.

[tex]4v+5v=-5v-9+5v[/tex]

Simplify

[tex]9v=-9[/tex]

Divide by 9 from both sides of the equation.

[tex]\frac{9v}{9}=\frac{-9}{9}[/tex]

Simplify it should be the correct answer.

[tex]v=-1[/tex]

Answer⇒⇒⇒⇒v=-1

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer: [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

1. You have the following expression given in the problem above:

[tex]\frac{(5^{-3})(2^{2})(5^{6})} {(2^{3})(5^{2})}[/tex]

2. You must apply the exponents properties, as following:

- To multiply powers that has the same bases, add the exponents of the bases that are equal:

[tex]\frac{(5^{(-3+6)})(2^{2})} {(2^{3})(5^{2})}=\frac{(5^{3})(2^{2})} {(2^{3})(5^{2})}[/tex]

- To divide powers that has the same bases, you must substract the exponents of the bases that are equal:

[tex]\frac{5^{(3-2)})} {2^{(3-2)}}=\frac{5}{2}[/tex]

3. Therefore, the answer is [tex]\frac{5}{2}[/tex]

Answer:

5/2

Step-by-step explanation:

putting the exponents and then