How can -6 1/3 be expressed as the sum of it's integer and fractional parts?
I'm giving 20 points for this one

K must be equal to 0, for the pair of equations to have no solution.

For the pair of equations KX + 3y - K = 0 and 12x + Ky - K = 0 to have no solution, the value of K must be such that the two equations have no common solution.

This can be done by equating the two equations and solving for K.

KX + 3y - K = 0

12x + Ky - K = 0

Subtracting equation (1) from equation (2)

11x + 3y = 0

Divide both sides by 3

x + y = 0

Therefore, K must be equal to 0, for the pair of equations to have no solution.

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After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Possibilities (G for girls and B for boys):

GGG

GGB

GBG

GBB

BGG

BGB

BBG

BBB

Answer:

1/4

Step-by-step explanation:

There are a total of four possibilities,

- Three girls

- Three boys

- Two girls and One boy

- Two boys and One girl

and only one of those options are 2 boys and 1 girl

Answer:

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

Since it says round to the nearest tenth of a foot, I might be wrong. But anyways I hope this helps!

The height of the building that has a 34 foot ladder rested on it with a distance of 25 feet is 23.0 feet.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The isdes of the triangle can be found using pythagoras theorem.

Therefore, the length of the ladder is the hypotenuse of the triangle. The distance form the bottom of the ladder to the bottom of the building is the adjacent side.

The height of the building is the opposite side of the triangle. Therefore,

c² = a² + b²

34² - 25² = b²

b = √1156 - 625

b = √531

b = 23.0434372436

b = 23.0

The height of the building is 23.0 feet.

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The maximum time (in seconds) that she can take on her last lap and still make the team will be 52 seconds.

From the information, to be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

The maximum time (in seconds) that she can take on her last lap and still make the team will be:

= (60 × 5) - (63 + 62 + 65 + 58)

= 300 - 248

= 52

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Answer:

16.5 inches

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 13² = 21²

a² + 169 = 441

Subtract 169 from both sides

a² = 272

Take the square root of both sides

a = 16.4924225025

Rounded

a = 16.5 inches

Answer:

The answer is C.

Step-by-step explanation:

First divide both sides by -6.

48/-6 > x/-6

Remember, you switch the signs if you are dividing by a negative number.

The final answer will be x<-8.

Hope this helps!

The proportion that is solved correct using cross products is given as follows:

4/6 = 12/18 = 4x18 = 6x12

A proportion represents a fraction of a total amount, hence it is written as follows:

p = x/y.

In which the terms are given as follows:

For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.

The proportion in this problem is given as follows:

4/6 = 12/18.

Hence the cross product is applied as follows:

4 x 18 = 6 x 12

72 = 72 (which is a true statement).

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Answer:

19°

Step-by-step explanation:

In this problem, we have complementary angles, which add up to 90° as indicated by the right angle symbol. So, getting x° is as simple as 90°-71°=19°.

Answer:

the answer is 59 because you have to simplify no that's the answer

The slope and the y-intercept of the linear function in this problem are given as follows:

The equation of the linear function in this problem is given as follows:

y = -2x + 6.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

From the table, we have that when x = 0, y = 6, hence the intercept b is given as follows:

b = 6.

When x increases by one, y decays by two, hence the slope m of the linear function is given as follows:

m = -2.

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X=14

[tex]3x + 4x + 1 + 6x - 3 = 180 \\ 13x - 2 = 180 \\ 13x = 182 \\ x = 14[/tex]

The residual value to the nearest integer and then construct the residual plot of the data will be 25.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Since an album went on sale for the first time at a music retailer six weeks ago, its weekly sales have climbed. The change is described by the linear regression equation y=1.9x+13.3, where x is the week and y is the number of albums sold each week.

The residual value is given as,

y = 1.9(6) + 13.3

y = 11.4 + 13.3

y = 24.7

y ≅ 25

The residual value to the nearest integer and then construct the residual plot of the data will be 25.

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Answer:

your answer is line plot D.

Step-by-step explanation:

it would be 3,087

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have a great morning/afternoon/evening!! <3

- berry

Answer:

9*7^3

Step-by-step explanation:

Answer:

Cost of cell phone in U.S. dollar = 100 U.S. dollar

Step-by-step explanation:

Given:

Cost of cell phone in yen = 8,835.3 yen

1 U.S. dollar = 88.353 yen

Find:

Cost of cell phone in U.S. dollar

Computation:

Cost of cell phone in U.S. dollar = Cost of cell phone in yen[1 /  88.353]

Cost of cell phone in U.S. dollar = 8,835.3[1 /  88.353]

Cost of cell phone in U.S. dollar = 8,835.3 /  88.353

Cost of cell phone in U.S. dollar = 100 U.S. dollar

Answer:

third side = 3

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = 5²

x² + 16 = 25 ( subtract 16 from both sides )

x² = 9 ( take square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

[tex]31\frac{1}{2}[/tex] kilometers

Step-by-step explanation:

Answer:

3$:4

Step-by-step explanation:

12/3= 4  9/3= 3

3$:4

The difference in perimeters is 6.

We  have  3  possible  points  for  the  last  vertex.

These  are

[ -1 + 2 , 0 + 4 ]  - [ 2 , -4 ]  =  [  [ 1 , 4] - [2 , - 4 ] =   ( -1, 8  )

The perimeter of this parallelogram = [tex]2 [ \sqrt{(-1-2)^{2} + (8-4)^2]} + 8][/tex]

                                                            = [tex]2 [ \sqrt{9+16}+ 8 ][/tex]

                                                            = 2 [ 5  + 8 ]

                                                            = 26

Another possible  point is

[ 2 + 2, 4 - 4]  - [-1,0] =  [ 4, 0]  - [ -1,0]  = (5,0)

The perimeter of this parallelogram

= [tex]2 [ \sqrt{(5-2)^{2} +(0-4)^{2} } + \sqrt{(2+1)^{2}+ (4-0)^{2} } ][/tex]

= [tex]2 [ \sqrt{3^{2}+ 4^{2} } + \sqrt{3^{2}+ 4^{2} }][/tex]

= [tex]2(\sqrt{25} +\sqrt{25})[/tex]

= 2(5 + 5)

= 20

The third feasible point won't change either the largest perimeter of 26 or the smallest perimeter of 20; therefore, we don't need to calculate it.

Difference = 26-20

                  = 6

Hence, the difference in perimeters is 6.

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Answer: 108000

Step-by-step explanation: Here's how I got my answer:

So, first, we need to know something. Whenever there's a fraction, you need to do this. I'll show you the numbers for this problem:

(60^3) / 2

So, the numerator goes in parentheses, and the denominator is what we are dividing by. So, 60^3 is the same as 60 x 60 x 60. You'd get 216000. Then, divide by 2 to get 108000. I hope this helps!

TIP: do NOT turn 3/2 into an improper fraction; 1 1/2. You would get a completely different answer.

The log2 function is a mathematical function that returns the logarithm of a given number to the base 2.

It is used to calculate the power to which a number must be raised to get a particular result.

For example, the log2 of 16 is 4, since 2^4 = 16. It can also be expressed as log2 16 = 4. Log2 is used in many areas of mathematics, including number theory, probability theory, and calculus.

It is also used in computer science and engineering to solve complex problems. Furthermore, it is used in cryptography to calculate the key sizes of encryption algorithms. In general, it is an essential tool for solving mathematical and scientific problems.

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Answer:

x = 40° , y = 140° z = 10°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , then

x + 60° + 80° = 180°

x + 140° = 180° ( subtract 140° from both sides )

x = 40°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle , then

y = 60° + 80° = 140°

x is also an exterior angle , then

30° + z = x

30° + z = 40° ( subtract 30° from both sides )

z = 10°

Answer:

12?

Step-by-step explanation:

Answer:

2x5=10 + 4x3=12 +12 total 34

Step-by-step explanation:

HOPE THIS HELPS!!!!!!!!!

HAVE A AWESOME DAY!!!!!

Answer:

x = 541.324

Step-by-step explanation:

Answer:

3x=6

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Based on the given relative frequency table, and the Venn diagram, the values a and b would be 12% and 18%. a = 12%, b = 18%.

First find the total number of people surveyed:

= 84 + 17 + 25 + 15

= 141

The value of A would be:

= Carrots and turnips / total people

= 17 / 141

= 12%

= Number of people who prefer turnips / Total suriveyed

= 25 / 141

= 18%

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9514 1404 393

Answer:

  12 in²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  A/27 = (8/12)²

  A = 27(2/3)² = 12

The area of the smaller figure is 12 in².