solve each of the equations below and classify them based on their solution.
1.) -8x - 3x= -11x
2.) 6x = -6y - 12
3.) -3z = 8 -z
4.) -5n = 3 - 5n

No Solution, Unique Solution, Infinitely many Solution

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

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Answer:

Yes

Step-by-step explanation:

3/2 = 1.5

1.5 > 1

Best of Luck!

Answer:

yes

Step-by-step explanation:

3/2 is greater that one because in its mixed number form it is 1 1/2

Find the average number of roses per bush by adding all the numbers and dividing the sum by the amount of bushes.

Notice that there are 10 bushes.

Then, the expected value of x is:

Therefore, the expected value of x is:

Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer:

125

Step-by-step explanation:

\(25=5^2\)

\(36=6^2\)

\(125=5^3\)

\(300=...\)

ok for the people who dont wanna do the link thing the answer is C : colton

HOPE THIS HELPS :))))) xx

Answer:

c, colton is wrong

Step-by-step explanation:

i got it right on edge 2020

Answer:

Terms: -1, 2z, -z²

Coefficients: 2, -1

Constant Term: -1

Step-by-step explanation:

Terms are a set of numbers. It can be accompanied by a variable or not.

Terms: -1, 2z, -z²

Coefficients are the numbers that are in front of a variable.

Coefficients: 2, -1

Constant term is just a number, with no variable attached to it.

Constant Term: -1

Answer:

y

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

You have to use the Pythagorean theorem: c = √(a² + b²)

√(7² + 9²) ≈ 11.4

The first questions answer:

Given (0, -4), 4x - y = 7. I converted the equation into slope intercept form and I got: y = 4x - 7. Once I had gotten that I put (0, -4) and the equation into Point-Slope Form and solved it: y - (-4) = 4(x + 0),  y + 4 =  4x,  y = 4x - 4 is the slope intercept form of your equation and point :)

Answer:

0.91924

Step-by-step explanation:

Given that :

A normal distribution has ;

Mean (m) = 109.0 inches

Standard deviation (σ) = 10 inches

Sample size (n) = 25

Probability that randomly picked years is less than 111.8 inches

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

x = score = 111.8 inches

Zscore = (111.8 - 109.0) / (10/√25)

Zscore = (2.8) / (10/5)

Zscore = 2.8 / 2

Zscore = 1.4

P(Z < 1.4) = 0.91924 ( using z probability calculator)

P(Z < 1.4) = 0.91924

Answer:

0.75 U.S. dollars

Step-by-step explanation:

If you're talking U.S dollar. It's 0.75 cents.

This doesn't seem like college work.

Answer:

least common denominator = 18

Step-by-step explanation:

Answer:

3.2h+1.6

Step-by-step explanation:

3h-2(-0.1h-0.8)

3h+0.2h+1.6

3.2h+1.6

Answer:

This Statement is True.

Check Explanation for why it is true.

Step-by-step explanation:

The sampling distribution of sample means arises when random samples are drawn from the population distribution and their respective means are computed and put together to form a distribution. Hence, the curve of this sampling distribution of sample means will show how the sample means are distributed. Hence, this statement is true.

Hope this Helps!!!

Given:

Opening balance $179.30 then she deposits $432 and had bank charges $5.35

Closing balance is $353.82

Therefore, Option d is the correct answer.

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

Coffee = Rs 120 per pound

 Tea = Rs 90 per pound

Step-by-step explanation:

Define x and y:

Let the cost of coffee be Rs x per pound

Let the cost of tea be Rs y per pound

Form the equations:

3x + 8y = Rs 1080 ------------  [ 1 ]

5x + 6y = Rs 1140  ------------  [ 2 ]

[ 1 ] x 5 : 15x + 40y = 5400 ------------  [ 3 ]

[ 2] x 3 : 15x + 18y = 3420  ------------  [ 4 ]

[3] - [4]:

 22y = 1980

y = 90  ------------   sub into [ 1 ]

3x + 8(90) =1080

3x+ 720 = 1080

3x = 360

x = 120

Find the cost:

1 pound of coffee = x = Rs 120

1 pound of tea = y = Rs 90

Answer:

Coffee is at Rs 120 per pound and Tea Rs 90 per pound

Answer:

x = 7

Step-by-step explanation:

This problem can be solved using angular bisector theorem.

It states that if any angle of triangle is bisected by a line , then that line

divides the opposite side of that angle in same proportion as that of two other sides which contain the angle.

__________________________________

Here one angle is is divided into parts theta

Thus,

using angular bisector theorem

14/21 = 6/3x-12

=> 14(3x-12) = 21*6

=> 3x-12 = 21*6/14 = 9

=> 3x = 12+9 = 21

=> x = 21/3 = 7

Thus, x = 7

Answer:

1/3

Step-by-step explanation:

The simplified form of the expression ( ⁴√( 8³ ) )^1/3 in rational exponents forms is 8^1/4.

Given the expression in the question;

( ⁴√( 8³ ) )^1/3

To convert to rational exponent form, apply the exponent rule;

ⁿ√aˣ = a^x/n

Hence;

( ⁴√( 8³ ) )^1/3 = 8^3/4

So we have,

( 8^3/4 )^1/3

Now, apply the power rule to multiply the exponents.

(a^m)^n = a^mn

( 8^3/4 )^1/3

8^( 3/4 × 1/3 )

8^( 3×1/4×3 )

Multiply 3 and 1

8^( 3/4×3 )

Multiply 4 and 3

8^( 3/12 )

Cancel out the common factor of 3 and 12; 3

8^( 1/4 )

8^1/4

Therefore, the simplified of the expression is 8^1/4.

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Answer:

Step-by-step explanation:

The downstream speed is ...

  speed = distance / time

  speed = 36 km/(3 h) = 12 km/h

The upstream speed is ...

  12 km/(3 h) = 4 km/h

__

If b and c represent the speeds of the boat and current, respectively, then we have ...

  b + c = 12

  b - c = 4

Adding these gives ...

  2b = 16

  b = 8

  c = b -4 = 4

The rate of the rowing team in calm water is 8 km/h; the rate of the current is 4 km/h.

Answer:

The team is 8

The current is 4

Answer:

52 tickets

Step-by-step explanation:

7 x 13 = 91

91 - 39 = 52

Step-by-step explanation:

yan po ang sagot ko dahil yan po ang pagkakaintindi ko

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

The score separating the bottom 47% from the top 53% is 112.8

Step-by-step explanation:

Let X denote the random variable whose values are normal with a mean of 114.5 and a standard deviation of 23.

Compute the 47th percentile as follows:

\(P(X<x)=0.47\\\\P(\frac{X-\mu}{\sigma}<\frac{x-114.5}{23})=0.47\\\\P(Z<z)=0.47\)

The corresponding z-value is,

z = -0.075

*Use the z-table.

Compute the value of x as follows:

\(\frac{x-114.5}{23}=-0.075\\\\x=114.5-(0.075\times 23)\\\\x=112.775\\\\x\approx 112.8\)

Thus, the score separating the bottom 47% from the top 53% is 112.8

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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The ratio of height of the building to the number of floors is 119/7 and the unit ratio is 17 which means that the height of each floor is 17 ft.

In the given question,

The height of a building is proportional to the number of floors.

In the building have 7 floors.

That means, n = 7

the height of building H = 119 ft.

Since the height of a building is proportional to the number of floors.

So \(\frac{H}{n}=k\) where k = constant.

Firstly we have to find the ratio of height of the building to the number of floors.

As we know, H = 119 ft, n = 7

So the ratio,

\(\frac{H}{n}=\frac{119}{7}\)

The ratio of height of the building to the number of floors is 119/7.

Now we have to find the unit rate.

To find the unit rate we have to divide the height of building to the number of floors.

As we know,

\(\frac{H}{n}=\frac{119}{7}\)

now simplifying the ratio by dividing the both number by 7

Unit ratio \(=\frac{H}{n}\)

Unit ratio \(=\frac{119/7}{7/7}\)

Unit ratio \(=\frac{17}{1}\)

Unit ratio = 17

Hence, the unit ratio is 17 ft which means that the height of each floor is 17 ft.

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