The Huns migrated to the West in groups. There were three sections of the migration: the front, the middle, and the back. There were 3 groups of 5 people leading in the front and the same amount of groups and people at the back of the migration. In the middle of the pack, we have 9 groups of 9 people each. Write an expression and solve for the total number of Huns that migrated to the West. Use exponents in your expression.

The quantity 1.0 mg/cm2 is the same as 1.0 x 10-4 kg/m2.

To convert from milligrams per square centimeter (mg/cm2) to kilograms per square meter (kg/m2), we need to use conversion factors to adjust the units. The given options represent different powers of 10 that can be used as conversion factors.

We know that 1 kilogram (kg) is equal to 1,000,000 milligrams (mg), and 1 meter (m) is equal to 100 centimeters (cm). Therefore, we can express the conversion factors as follows:

1 kg = 1,000,000 mg (1)

1 m2 = 10,000 cm2 (2)

To convert from mg/cm2 to kg/m2, we can combine these conversion factors:

1 mg/cm2 = (1 mg / 1 cm2) x (1 kg / 1,000,000 mg) x (10,000 cm2 / 1 m2)

Simplifying the expression, we have:

1 mg/cm2 = (1 / 1,000,000) kg/m2 = 1 x 10-6 kg/m2

Therefore, the quantity 1.0 mg/cm2 is the same as 1.0 x 10-6 kg/m2.

Among the given options, the value that matches the conversion is option A: 10-4

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Answer:

Your answer is 15

Step-by-step explanation:

1) 6 + 4 = 10

2) -4 + -1 = -5

3) now add

4) 10 + -5 + 15

5) it's 15 because the bigger is positive.

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

Answer:

3

Step-by-step explanation:

Answer: 3/64

Step-by-step explanation:

P(Blue)=(1/8)(3/8)

P(Blue)=3/64

Also, I had this quiz :)

Answer:

see explanation

Step-by-step explanation:

rounding each number to 1 significant figure

(a)

763 × 42

≈ 800 × 40

= 32000

(b)

39 × 52

≈ 40 × 50

= 2000

(c)

3.8 × 4.9

≈ 4 × 5

= 20

The answer is 0.5833 using probability.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

When two dice are rolled sample space is of 36 elements.

The elements which give sum less than 8 are given as follow

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5)

(3,1),(3,2),(3,3),(3,4)

(4,1),(4,2),(4,3)

(5,1),(5,2)

(6,1)

Here the total number of elements that satisfy conditions is 21

Hence probability is given by (21/36)

Probability=0.5833

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Answer:

If you have choices it is either -5 or 5.

Step-by-step explanation:

First, you find two points, which mine were (0,2) and (-1,7). The slope formula is y2 - y1 divided by x2 - x1. So, im going to subtract 7 - 2, which is your y2 - y1, to get 5. Then, i'm going to subtract -1 - 0, which is your x2 - x1, to get -1. Then, you divide 5 by -1 to get -5. I Hope This Helps :)

The cost of each nail polish in the problem given is $3.5

Using the parameters given, we can set up our equation thus :

Hence, cost of each bag would be :

Which can be simplify written as

All bags cost = 7(5 + 4x)

133 = 35 + 28x

133 - 35 = 28x

98 = 28x

x = 3.5

Therefore, each nail polish cost $3.5

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Answer:

45:15 turned into a fraction =1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Total sample space(S)=60

Probability of red marbles(PR)= 13/60

Probability of green marbles(PG)=15/60

Probability of blue marbles(PB)=32/60

Solution,

Probability of not getting green marble(P-G)=1-15/60

                                                                            =1-1/4

                                                                            = 3/4

Answer:

B=28

Step-by-step explanation:

Step-by-step explanation:

Yaa's age = 10 years

Kwasi's age = 20 years

They share the mangoes in the ratio of their ages

That's

10 : 20 = 1 : 2

Total number of mangoes = 60

Total parts = 1 + 2 = 3

= 2 × 20

Hope this helps you

Answer:

Yaa gets 20 oranges while Kwasi gets 40 oranges

Step-by-step explanation:

We will add both ages= 10+20=30

Then we will pick yaa's age/ their total ages multiplied by the amount of oranges= 10/30 * 60

yaa will get= 600/30 = 20 oranges

Then Kwasi's age/their total ages multiplied by the amount of oranges= 20/30* 60=

1200/30= 40 oranges

Answer:

the answer is $24

Step-by-step explanation:

more filler stuff

Answer:

8$

Step-by-step explanation:

to get the answer multiply the orignial price by .75

then subtract that number from the original.

if you dont mind giving a rating on this thanks :)

The economy and business are benefited by peace and harmony, which eventually eliminates unemployment.

When people fight in the name of their faith, which eventually leads to the spread of communalism, peace and harmony are hampered. Inflation is the term for the increase in the cost of essential goods, and it is one of the major factors that disturbs the idea of peace and harmony.

The law plays a significant role in upholding an orderly and peaceful society in pluralistic countries where citizens do not all adhere to the same religion. People are free to practise the religion of their choice under the law. No one can be forced to adhere to a particular set of cultural values and customs. By law, all religions are given equal weight. No one is made to feel better or worse because of their religion. Anyone found to have discriminated against someone based on their religious background faces harsh legal penalties. They must respect everyone, regardless of their religion, socioeconomic status, or other similar characteristics, according to the law. It reduces the possibility that riots will break out due to cultural conflicts.

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Answer:

x = 74 degrees

Answer:

74 degrees

Step-by-step explanation:

Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer

The composite function (g∘f)(−1) equals 3, and (g∘f)(0) equals -1.

Given the table of values for functions f(x) and g(x), we can evaluate composite functions (g∘f)(x) by substituting the values of f(x) in g(x).

a. To find (g∘f)(−1), we substitute -1 in f(x) and get f(-1) = -3. Then, we substitute -3 in g(x) and get g(-3) = 3. Therefore, (g∘f)(−1) = 3.

b. To find (g∘f)(0), we substitute 0 in f(x) and get f(0) = -1. Then, we substitute -1 in g(x) and get g(-1) = -1. Therefore, (g∘f)(0) = -1.

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Answer:

It is 10 quarters and 10 nickels

10 x 25 = $2.50

10 x 5 = $0.50

2.50 + 0.50 = $3.00

***I hope this helps

Step-by-step explanation:

A ship sails from port a, on a bearing of 050, to port b which is 80km to the east of a. it then sails on a bearing of 062 for 72km until it reaches pot c. West is 270 degrees. Hence Answer would be 80 km.

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

Step-by-step explanation:

We can say that let the total amount be represented by y

and let the number of months be x

given that he already had an amount of $200 already and he hopes to save $50 monthly

We can model his balance as

y=200+50x

also given tha x=24

put x= 24 in the expression for the total amount we have

y=200+50(24)

y=200+1200

y=1400

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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We have shown that a parallelogram ABCD is a rectangle if and only if AC = BD.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To prove that a parallelogram ABCD is a rectangle if and only if AC = BD, we need to show two things:

If ABCD is a rectangle, then AC = BD.

If AC = BD, then ABCD is a rectangle.

Proof:

1. Assume that ABCD is a rectangle. This means that all angles of the parallelogram are right angles. Let's draw diagonal AC and BD, which divide the rectangle into four right triangles (ABC, BCD, ACD, and ABD). Since the opposite sides of a parallelogram are congruent, we have AB = CD and AD = BC. Therefore, triangles ABD and ACD are congruent (by side-angle-side) and have the same hypotenuse AD. This means that their legs are congruent: AB = CD and BD = AC. Since AB = CD, we have AC + BD = AD + AD = 2AD. But since ABCD is a rectangle, we know that AC = AD and BD = AD. Therefore, AC + BD = 2AD = 2AC = 2BD. So AC = BD.

2. Now assume that AC = BD. We need to prove that ABCD is a rectangle. Let's draw diagonal AC and BD again. Since AC = BD, the two diagonals divide the parallelogram into four congruent triangles (ABC, ACD, BCD, and ABD). Therefore, each of these triangles has a right angle, since the sum of their angles is 180 degrees. Since angle BCD and angle ACD are adjacent angles around a straight line, they add up to 180 degrees, so they are also right angles.

Therefore, we have shown that a parallelogram ABCD is a rectangle if and only if AC = BD.

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Answer:

x=53°

(x+2)=55°

Step-by-step explanation:

Add all the angles up to equal 180, because all triangles equal 180.

(x+2)+x+72=180

Simplify and solve for x.

2x+74=180

-74=-74

2x=106

2 = 2

x=53.

Plug x in to the inequalities. Hope this helps.

Answer:

Games = x = 9

Rides = y = 5

Step-by-step explanation:

Let

Games = x

Rides = y

x + y = 14 (1)

1.25x + 2.25y = 22.50 (2)

From (1)

x = 14 - y

Substitute x = 14 - y into (2)

1.25x + 2.25y = 22.50

1.25(14 - y) + 2.25y = 22.50

17.5 - 1.25y + 2.25y = 22.50

- 1.25y + 2.25y = 22.50 - 17.5

y = 5

Substitute y = 5 into (1)

x + y = 14

x + 5 = 14

x = 14 - 5

x = 9

Games = x = 9

Rides = y = 5

Answer:   D

d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).

The simplified value of the expression StartFraction 4.5 minus 5.9 over 0.2 times 3 minus 0.2 EndFraction is -3.5.

The correct answer choice is option A

Using PEMDAS

P = parenthesis

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

(4.5 - 5.9) / (0.2 × 3) - 0.2

= -1.4 / (0.6 - 0.2)

= -1.4 / 0.4

= -3.5

Complete question:

What is the simplified value of the expression below? 4.5 - 5.9 divided by 0.2 x 3 - 0.2

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Answer:

yo

Step-by-step explanation:

the answers A

i took the test

Answer:

x = 16

Step-by-step explanation:

Let's assume that the number of players the team can bring to the tournament is represented by the variable "x."

Given that the total amount raised by the team is $1672.50, the cost of renting the bus is $1068.50, and the budgeted amount per player for meals is $37.75, we can write the equation to determine the number of players as follows:

Total amount raised - Cost of bus - (Budget per player * Number of players) = 0

1672.50 - 1068.50 - (37.75 * x) = 0

Now, let's solve the equation for x:

1672.50 - 1068.50 - 37.75x = 0

603 - 37.75x = 0

To isolate the variable x, let's subtract 603 from both sides of the equation:

-37.75x = -603

Now, divide both sides of the equation by -37.75:

x = -603 / -37.75

x = 16

Therefore, the team can bring approximately 16 players to the tournament.

\(3x + 3 > 48\)

\(3x > 48 - 3 \\ 3x > 45 \\ x > \frac{45}{3} \Longrightarrow x > \frac{ \cancel{45}}{ \cancel{3}} \Longrightarrow x > \frac{15}{1} \\ x > 15\)

Because x must be greater than 15. We will substitute x = 16 in the Inequality.

\(3(16) + 3 > 48 \\ 48 + 3 > 48 \\ 51 > 48 \: \: \checkmark\)

The Inequality is true when x > 15.

\( \large \boxed{x > 15}\)