8 9/10-3 2/3


Step by step if you want to

They won 168/11 games.

From the question, we have

Ratio = 3:8

team played = 56 games

Won = 56*3/11

=168/11

=15.27

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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Using the equation of the model:

a. 7.8 billions of pounds

b. 9.8 billions of pounds.

In the above problem given, the equation, y = 7.1(1.03)^x models the cheese production in the country, where:

a. 2006 after 2003 is 3 years. Substitute x = 3 into the equation, y = 7.1(1.03)^x:

y = 7.1(1.03)^3

y = 7.8

Total cheese produced in 2003 was about: 7.8 billions of pounds

b. 2014 after 2003 is 11 years. Substitute x = 11 into the equation, y = 7.1(1.03)^x:

y = 7.1(1.03)^11

y = 9.8

Total cheese that would be produced in 2014 will be about: 9.8 billions of pounds.

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Answer:

40

Step-by-step explanation:

8x4 is 32 and to find a triangle is Length x Hight devided by 2.

Answer:

63

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so:

[tex]\frac{CE}{DE}=\frac{FE}{GE} \\ \\ \frac{8x-1}{6x+3}=\frac{21}{17} \\ \\ 17(8x-1)=21(6x+3) \\ \\ 136x-17=126x+63 \\ \\ 10x=80 \\ \\ x=8 \\ \\ CE=8(8)-1=63[/tex]

Answer:

The image point of (4,0) after the rotation of 90° counterclockwise about the origin is (-4,0)

Answer:

Joe has 6 $5 bills and 4 $1 bills.

Step-by-step explanation:

Joe has 10 bills, $1 and $5, so:

Joe has a total of $34, so:

Substitution can be used between the two equations to achieve the answer.

Angle between hour hand and minutes hand is 60 degrees.

What is angle ?

An angle is a shape created by two rays or lines that have a shared termination.

Main Body:

As a clock is complete circle , total angle created by it is 360 degrees.

Numbers of hours in a clock = 12

Angle created by 1 hour = total angle / total no. of hours

                                        = 360/12

                                        = 30 degrees.

Now according to the question total hours = 2

multiplying 2 with degrees between 1 hour hand and minute hand.

Hence total angle created by hour and minute hand id 60 degrees.

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A simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size the same probability of being selected.

As we know that,

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same chance of being chosen.

So n has the same probability of being selected.

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The right question is

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

n has a probability of 0.5 of being selected.

n has the same probability of being selected.

N and n have the same probability of being selected.

n has a probability of 0.05 of being selected.

Answer: 12%

Step-by-step explanation:

Answer: 12%

...............................

No, the statement the surface area of Cube B is also twice that of Cube A, is False.

Cube A is of 2 by 2 by 2

So the length of each side of Cube A is 2 units

So the surface area of Cube A = 6*2*2 = 24 square units

Cube B is of 4 by 4 by 4

So each side length of Cube B is 4 units

So the surface area of Cube B = 6*4*4 = 96 square units

So Surface area of Cube B is = 96/24 = 4 times of surface area of Cube A.

So the given statement is not true.

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The Diagrams 2 and 4 are correct while diagrams 1 and 3 are incorrect.

How to determine similar triangles and trapeziums?

From the given parameters

Triangle 1 has the following features

Let us label the triangle ABCD;

ΔABD is isosceles.

The base angles are equal =52⁰

Also, ΔBCD is also isosceles

The base angles are equal =74⁰

∠DBC  is not equal to ∠BAD

Therefore; the image is not correct.

From figure 2

Let it be MNOP;

ΔMNO is isosceles base angles are equal=76⁰

∠MNO  is not equal to ∠MOP=28⁰

From figure 3

A Plane geometry deals with flat shapes that you can draw on a piece of paper, such as squares, circles, and triangles.

The image does not resemble these shapes.

therefore it is incorrect.

From figure 4

A trapezium is a quadrilateral with exactly one pair of opposite sides parallel to each other.

∠ACB=∠ABC=27⁰

The triangles on opposite sides are equal to each other.

Therefore the image is correct.

In conclusion, images 2 and 4 are correct while images 1 and 3 are incorrect.

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If Debra runs each lap in 6 minutes and she will run less than 8 laps today. Then the possible number of minutes that she will run todays is less than 48 minutes

Time taken for each lap = 6 minutes

Number of laps that she run today = less than 8 laps

The possible number of minutes that she will run today ≤ Time taken for each lap × Number of laps that she run today

Here we have to use the inequality

The inequality is defined as the relation ship between two variables that is not equal. The inequality operations are less than, greater than, less than or equal to, greater than or equal to etc..

The possible number of minutes that she will run today ≤ 6 × 8

≤ 48 minutes

Hence, if Debra runs each lap in 6 minutes and she will run less than 8 laps today. Then the possible number of minutes that she will run todays is less than 48 minutes

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By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. f(x) = anxn + anxn+1 +... + a² + a¹x + a⁰ is the formula for a polynomial. The greatest power of x in an expression is the polynomial's degree. Polynomials of degree 0, 1, 2, 3, and 4 are constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively.

Given,

Polynomial function,

-125w² + 180 = 0

-125w² = -180

w² = 180/125

w² = 1.44

Squaring,

w = √1.44

w = 1.2

By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.

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Answer:  when it is morning time to get up and you put your clothes and your shoe and your backpack and your  coat and you wait for the bus

Step-by-step explanation:

The first 4 terms of the sequence are -5, -2, 1, 4

What is a sequence?

A sequence is a predetermined arrangement of connected actions, occurrences, or objects that occur after one another. A sequence is an ordered collection of enumerated objects in mathematics where repeats are permitted. A sequence can also be seen as a set as it contains members as well.

Solution Explained:

Given,  
[tex]a_{1} = -5\\a_{n} = a_{n-1} + 3[/tex]

Assuming n ≥ 2, we get

[tex]a_{2} = a_{n-1} + 3\\a_{2} = a_{2-1} + 3 \\a_{2} = a_{1} + 3\\a_{2} = -5 + 3\\a_{2} = -2[/tex]

[tex]a_{3} = a_{n-1} + 3\\a_{3} = a_{3-1} + 3 \\a_{3} = a_{2} + 3\\a_{3} = -2 + 3\\a_{3} = 1[/tex]

[tex]a_{4} = a_{n-1} + 3\\a_{4} = a_{4-1} + 3 \\a_{4} = a_{3} + 3\\a_{4} = 1 + 3\\a_{4} = 4[/tex]

Hence, the first 4 terms of the sequence are -5, -2, 1, 4

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Answer:

0.84

Step-by-step explanation:

23.35 divided by 27.65 = 0.84448462929

Rounded to the first 2 decimal places would be:

0.84

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Answer:

Step-by-step explanation:

[tex]\frac{23.35}{27.65} \approx{0.84}\\[/tex]

Answer:

Step-by-step explanation:

0.75

hope this helps

M = 5 - 4i

J = 3 + 2i

J* = -3 + 2i (Conjugate)

Therefore M + J*

= (5 + -3) + (-4i + 2i)

= 2 - 2i

Answer:

x=− 21=−0.5y=y 2 − 21

​

Step-by-step explanation:

Answer:

a) 10 ; scale factor is 2

b) 15; scale factor 5

c) 1.5; scale factor is ½ or 0.5

d) 6.3; scale factor is 3

e) 24, 2; scale factor is ⅛ 0.125

f) 4.6, 9; scale factor 3⅕ or 3.2

Step-by-step explanation:

a) to get form your first term to the corepnoding term you have to divide the first term form your second term for example 6÷3 is 2 so 2 is the scale factor. You multiply 5 by 2 so 5×2 is 10 the blank is 10

b,d and f) Do the same step process like what you do for letter a to get these terms

c and e) Do the same steps as a but keep in mind that because the number in the second term are smaller the scale factor is less then 1 so for c it would be ½ as opposed to 2 since the new number is smaller

The constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Here we can cancel both x term and y terms, lets choose x terms  and apply the elimination method

The coefficient of x in first equation is 5 and 12 in second equation

We have to make it same

Prime factorization

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Here we have eliminated x term

Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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Answer: constant of proportionality

Explanation: Assuming that we have two proportional quantities; one is x and one is y. If you know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Answer:

[tex]x(x^{2}[/tex] + [tex]5)[/tex]

Step-by-step explanation:

[tex]Factor ( x^{3}[/tex] + [tex]5x )[/tex]

[tex]x^{3}[/tex] + [tex]5x[/tex]

= [tex]x(x^{2}[/tex] + [tex]5)[/tex]

Hope this helps! :)

The angle of elevation of the sun is 18°.

According to the question,

We have the following information:

A 130 foot tall building has a shadow that is 400 feet long (this is the correct question).

Now, let's take the angle of elevation of the sun to be x°.

Now, the height of the building will become perpendicular and the shadow will serve as the base for the angle of elevation.

We will use the trigonometric function tan.

Tan x = Perpendicular/base

Tan x = 130/400

Tan x = 0.325

Now, the value of x is 18°.

Hence, the angle of elevation of the sun is 18°.

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Answer:

2.  29°

3.  62°

4.  3

Step-by-step explanation:

Question 2

Interior angles of a triangle sum to 180°.

⇒ x + 57° + 94° = 180°

⇒ x + 151° = 180°

⇒ x + 151° - 151° = 180° - 151°

⇒ x = 29°

Question 3

Interior angles of a triangle sum to 180°.

⇒ x + 31° + 87° = 180°

⇒ x + 118° = 180°

⇒ x + 118° - 118° = 180° - 118°

⇒ x = 62°

Question 4

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ (10x + 2)° = (2x + 1)° + 25°

⇒ 10x + 2 = 2x + 1 + 25

⇒ 10x + 2 = 2x + 26

⇒ 10x + 2 - 2x = 2x + 26 - 2x

⇒ 8x + 2 = 26

⇒ 8x + 2 - 2 = 26 - 2

⇒ 8x = 24

⇒ 8x ÷ 8 = 24 ÷ 8

⇒ x = 3

Answer: rotate 180° and translate down.

Step-by-step explanation:

hope this helps!

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Rotating angle 1 by 180° would leave it in the position of angle 4. From there, you can translate it directly down onto angle 8. This will prove congruency.

The equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4) is 4x+3y = 24

The standard form of equation of line is y=m x+ b

where m is slope of line and b is y-intercept.

According to the question,

The required line is parallel to line whose equation is 4x + 3y = 12

Slope of given line =

3y = 12 - 4x

dividing by 3 both sides,

y = 12/3 - 4/3x

=> y = 4 - 4/3x

Slope of given line = -4/3

If two lines are parallel their slopes are equal to each other

Hence , Slope of required line : m = -4/3

Equation of line : y = -4/3x + b ------------(1)

It is given that required line also passes through the point = (3,4)

substituting the values of x = 3 and y=4 in equation (1)

=> (4) = (-4/3)(3) + b

=> 4 = -4 +b

=> b = 8

Substituting the value of b,

The equation of required line is y = -4/3x + 8

multiplying by 3 both sides,

3y = -4x + 24

=> 4x+3y = 24

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Answer:

y= 8

Step-by-step explanation:

y = 8 - 3x

y = 8-3*0

y = 8

Given equation is

[tex]y = 8 - 3x[/tex]

we need to identify the slope and y intercept of this function.

We know that standard form of slope intercept form as

[tex]y = mx + c[/tex]

where ,

We can convert the given equation into standard form as ,

[tex]\longrightarrow y = -3x + 8 [/tex]

On comparing to the standard form, we have ;

And we are done!