What is a factor of a whole number

First you subtract by the numbers.

[tex]4k-6=-2k-18[/tex]

Then you add by six from both sides of equation form.

[tex]4k-6+6=-2k-18+6[/tex]

Simplify.

[tex]4k=-2k-12[/tex]

Next add by two-k from both sides of equation form.

[tex]4k+2k=-2k-12+2k[/tex]

Then simplify.

[tex]6k=-12[/tex]

Next divide by six from both sides of equation form.

[tex]\frac{6k}{6}=\frac{-12}{6}[/tex]

And finally, simplify by equation.

[tex]k=-2[/tex]

Final answer is ⇒ [tex]\boxed{k=-2}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

Answer:

First drop-down : -

Second drop-down : 12

Third drop-down : 6

Fourth drop-down : -12

Fifth drop-down : -2

Answer:

The correct option is:  A.  X= -4

Step-by-step explanation:

The equation of the given line is:  [tex]x=7[/tex]

As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or [tex]\frac{k}{0}[/tex], where [tex]k[/tex] is any real number.

Now, the slope of the line which is parallel to the given line will be also [tex]\frac{k}{0}[/tex], as the slopes of parallel lines are always equal.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

[tex]y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4[/tex]

Thus, the equation of the parallel line will be:  [tex]x=-4[/tex]

Answer: The width can be measured in not a characteristic of a plane

Step-by-step explanation: Think about it it doesn't make sense becuase it doesn't have measurable width

Answer: [tex]\frac{n^{5}}{7m^{4}}[/tex]

Step-by-step explanation:

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

[tex]\frac{4mn^{8}}{28m^{5}n^{3}}[/tex]

2. To find an expression that is equal to the expression shown in the problem, you can simplify it:

- As you can see, 4 and 28 are divisible by 4.

- You need to apply the exponents properties. To divide two powers with the same base, you must subtract the exponents.

3. Keeping this on mind, you have:

[tex]\frac{n^{(8-3)}}{7m^{(5-1)}}=\frac{n^{5}}{7m^{4}}[/tex]

The expression would be 5(p + 10).

answer:

5p + 10

step-by-step explanation:

product: multiplied

so when this equations says the product or 5 and p it is meaning 5 and p multiplied so our equation would start out with 5 × p or to make it simpler 5p

increased: added by

the next part is increased by 10 so that means we need to add + 10 to the end of our equation making our answer 5p + 10

Answer:

5 hours

Step-by-step explanation:

Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour

To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed

Solution:

Current water temperature at beach [tex]=82^{\circ}[/tex]

temperature rising rate degrees per hour [tex]=0.6^{\circ}[/tex]

let [tex]\text{h}[/tex] be the hours passed.

water temperature at the beach after hour [tex]\text{h}[/tex] be

                                                                       [tex]= 82+0.6\text{h}[/tex]

Therefore,

equation for water temperature after [tex]\text{h}[/tex] [tex]\text{hour}[/tex] is

                    [tex]= 82+0.6\text{h}[/tex]

When water temperature is [tex]85^{\circ}[/tex]

                    [tex]85=82+0.6\text{h}[/tex]

                    [tex]0.6\text{h}=85-82[/tex]

                    [tex]0.6\text{h}=3[/tex]

                    [tex]\text{h}=\frac{3}{0.6}[/tex]

                    [tex]\text{h}=5[/tex] [tex]\text{hours}[/tex]

therefore it will take  [tex]5[/tex] [tex]\text{hours}[/tex] to reach temperature [tex]85^{\circ}[/tex]

Initial temperature = 82°

Rate of temperature rise = 0.6° per hour

Final temperature = 85°

The equation which describes the relationship :

Final temperature = Initial temperature + (rate × number of hours)

Number of hours = h

Mathematically, the relationship can be written as :

85 = 82 + 0.6h

Solving for h :

Subtract 82 from both sides :

85 - 82 = 0.6h

3 = 0.6h

Divide both sides by 0.6

3/0.6 = h

h = 5

Hence, the temperature will be 85° after 5 hours

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The first quartile is the middle of the first half.

Which would be the number 12 I think

a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child

Let x be the number of adult tickets

and y be the number of child tickets

Total number of tickets sold is 144

x + y = 144  -----------> equation 1

the theater sells tickets for $6 per adult and $4 per child and earned $660

6x + 4y = 660  ----------> equation 2

Solve for x  and y

x + y = 144

y = 144 - x

Now plug it in second equation

6x + 4y = 660

6x + 4(144 - x) = 660

6x + 576 -4x = 660 (combine like terms)

2x + 576 = 660 (subtract 576 from both sides)

2x = 84 (divide by 2)

x= 42

Number of adult tickets = 42

y = 144 - x

y = 144- 42= 102

Number of child tickets = 102

The theater sold 42 adult tickets and 102 child tickets on Friday night, calculated by setting up and solving a system of equations based on the total seats and revenue.

To solve the problem, we need to set up a system of equations based on the information provided. The total number of seats is 144, and the total revenue from selling out on Friday night is $660. Let A represent the number of adult tickets sold and C represent the number of child tickets sold. Therefore we have the following equations:

Now we can solve this system of equations. Multiplying the first equation by 4, we get 4A + 4C = 576. Subtracting this from the second equation cancels out the C, leaving us with 2A = 84, or A = 42. Plugging this into the first equation gives us C = 144 - 42, or C = 102.

Therefore, the theater sold 42 adult tickets and 102 child tickets on Friday night.

Answer,

100,000,000 > 334,605,925

But, 100,000,000 is smaller that 334,605,952

So, It would be "100,000,000 < 334,605,925"

-26 is the change because -71 - -25 is -26

I do these types of problems a little different then some may.  I turn this into a positive and see how far it is like that.  

When thinking of it like that, how many numbers are between 45 and 71?

Just subtract 71-45= 26.

So know we know that there are 26 numbers in between 45 and 71.

If you go back to the original problem, you will see to get from -45 to -71, you have to -26.

So the temperature has to drop 26 degrees making your change in temperature -26 degrees.

Compensation is the process of reformulating an addition, subtraction, multiplication, or division problem to one that can be computed more easily mentally.

We will use compensation to find the difference of 30,000 and 6985.

Since, we have to evaluate 30,000 - 6,985

Let us add '15' to 6985,

6,985 + 15 = 7,000

Let us add '15' to 30,000

30,000 + 15 = 30,015

Now, we have to subtract 30,015  and 7,000

= 30,015 - 7,000

= 23,015

Therefore, the difference of 6,985 from 30,000 is 23,015.

The strategy of compensation involves adjusting numbers to make calculations easier. In the case of finding the difference between 30000 and 6985, you would adjust 6985 to 7000, subtract it from 30000 to get 23000, then add back the 15 you added to 6985 at the beginning. The result is 23015.

In mathematics, compensation is a strategy where you adjust one of the numbers to make the equation easier to solve. Pivotally, you make the same adjustment to the other number so as not to change the overall result.

Let's use this strategy to find the difference between 30000 and 6985

So, through the use of compensation the difference between 30000 and 6985 is 23015.

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Answer:

1) point-slope form

2) slope intercept form

Explanation:

1) y−b=m(x−a)

m = slope

(a, b) A point that the line passes through

2) y=mx+b

m = slope

b = y-intercept

The required difference between slope intercept form and point-slope form line is when we have slope and y-intercept we use slope-intercept equation and when we have coordinates of a point on the line we use the point-slope form of the line.

The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.

The slope-intercept form of the equation of a line is,

y =  mx +c   - - - - - - (1)

The point-slope form of the line is given by,

(y - y1) = m(x - x1)    - - - - - - (2)
where m is the slope of equation and m = (y2 - y1) / (x2 - x 1).

Thus, we use a slope-intercept form of the equation when we have given the slope of the line and y-intercept of the line. when we have a coordinate of one point and slope or more than two coordinates of points on the line so we use the point-slope form of the equation.

Learn more about slopes here:
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Yes. All even numbers are composite. However digits - 2, 4, 6, and 8 - do not count, since a number must be greater than 9.

Yes all even numbers are composite because they have more than 1 factor

x = [tex]\frac{14}{3}[/tex]

distribute parenthesis on left side and simplify

4x + 8x - 24 = 4 + 6x

12x - 24 = 4 + 6x ( subtract 6x from both sides )

6x - 24 = 4 ( add 24 to both sides )

6x = 28 ( divide both sides by 6 )

x = [tex]\frac{28}{6}[/tex] = [tex]\frac{14}{3}[/tex]

The answer is D

This is because if for every $50 he saves $5, and he has saved a total of $500, you can set up a proportion to find out how much money he has saved at that point.

The proportion is as follows:

50/5 == 500/x

x is equivalent to the amount of money he has saved

You can cross multiply to get the following equation:

50x == 2500

To isolate x, you must divide both sides by 50, giving you an answer of:

x = 50

This is the same as option D

[tex](5x^2-3x+5)-(3x^2-4x-7)\\\\=5x^2-3x+5-3x^2+4x+7\\\\=(5x^2-3x^2)+(-3x+4x)+(5+7)\\\\=2x^2+x+12\to1.[/tex]

[tex]11(-3+5x^2)=(11)(-3)+(11)(5x^2)=-33+55x^2=55x^2-33\to4.[/tex]

I'm pretty sure the answer is 5/16

Answer:

voltage drop across 40Ω inductor is 41.2V

Step-by-step explanation:

We are given that a series RL circuit contains two resistors 27Ω, 47Ω and two inductors which have reactances 50Ω,40Ω.

Hence total resistance in the circuit =27+47=74Ω

Total reactance=50+40=90Ω

Since all of these elements are in series, same current goes through all the elements.

And that current I=[tex]\frac{E_{T}} {Z}[/tex]

Given Applied voltage,[tex]E_{T}=120V[/tex]

Hence [tex]I=\frac{120}{\sqrt{74^{2}+90^{2}}} =\frac{120}{\sqrt{13576}} =1.03A[/tex]

Therefore voltage drop on the inductor that has 40Ω of reactance=40X1.03

                                                                           =41.196≈41.2V

Final answer:

The voltage drop on the inductor in a series RL circuit with a 40 Ω reactance is calculated using the total impedance and Ohm's Law to find the circuit current, which is then multiplied by the inductor's reactance. The calculated voltage drop is 41.2 V.

Explanation:

The student is dealing with an RL circuit and needs to calculate the voltage drop on an inductor with a given reactance in that circuit. In an RL circuit, the total impedance (Z) is found by combining the resistive (R) and inductive reactance (XL) components together, where R is the sum of individual resistances and XL is the sum of individual reactances. Since the components are in series, the total resistance would be R = 27 Ω + 47 Ω = 74 Ω and the total reactance would be

XL = 50 Ω + 40 Ω = 90 Ω.

The total impedance (Z) can be calculated using the Pythagorean theorem for the right triangle formed by R and XL:

=  [tex]\sqrt{(74^2 + 90^2)[/tex]

= √(5476 + 8100)

= √(13576) ≈ 116.52 Ω.

With the total impedance known, we can find the current in the circuit (I) using Ohm's Law:

I = V/Z

= 120 V / 116.52 Ω

≈ 1.03 A.

The voltage drop across an individual inductor can be found by ∗ V = I * XL, where XL is the inductive reactance of the inductor in question. Therefore, the voltage drop for the inductor with a 40 Ω reactance is:

V = 1.03 A * 40 Ω

= 41.2 V.

This is the voltage drop on the inductor with a 40 Ω reactance.

Answer:

480

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

What I did was put 45/60 (45 as the minute and the 60 to make up an hour) into 75/100 which I then put the 2.75( the 2 hours from the time already) and divided 8580/2.75= 3120

Hey!

Alright, according to P.E.M.D.A.S., the first step to solving this expression is to distribute.

Original Expression :

[tex]\displaystyle\ -8y^{3} (7y^{2} -4y-1)[/tex]

New Expression {Distributed Old Expression} :

[tex]\displaystyle\ -(56y^{5} -32y^{4} -8y^{3} )[/tex]

Now all you have to do is simplify the parenthesis.

Old Expression :

[tex]\displaystyle\ -(56y^{5} -32y^{4} -8y^{3} )[/tex]

New Expression {Simplified} :

[tex]\displaystyle\ -56y^{5} + 32y^{4} + 8y^{3}[/tex]

So, since the expression can no longer be simplified, the final answer is...

Hope this helps!

- Lindsey Frazier ♥

Solution :

Given expression [tex]-8y^{3}(7y^{2}-4y-1)[/tex]

To simplify this expression, first we need to know about the Distributive property.

Distributive Property: [tex]a\times(b+c+d)=(a\times b)+(a\times c)+(a\times d)[/tex]

Given expression [tex]-8y^{3}(7y^{2}-4y-1)[/tex]

Applying Distributive property on this expression:

[tex]\Rigtharrow -8y^{3}(7y^{2}-4y-1)=((-8y^{3})\times7y^{2})+((-8y^{3})\times(-4y))+((-8y^{3})\times(-1))[/tex]

                           [tex]= -56y^{5}+32y^{4}+8y^{3}[/tex]

Hence, the simplified form of the expression  [tex]-8y^{3}(7y^{2}-4y-1)[/tex] is  [tex]-56y^{5}+32y^{4}+8y^{3}[/tex].

1,541 is the answer

Answer:

She'll receive $6.53.

Step-by-step explanation:

First add everything she purcahsed.

1.22 + 1.48 + 7.98 + 2.79 = 13.47

Then subtract that from how much she paid.

20 - 13.47 = 6.53

So 6 dollars and 53 cents.

Hello!

To find the total amount of change we need to combine the total cost of everything first and then subtract that from 20!

$ 1.22+ $ 1.48+ $ 7.98+$ 2.79 = $ 13.47

$ 20.00 - $ 13.47 = $ 6.53

The answer to question is that she will recieve $6.53 in change if she pays with a $20 bill. If you need anymore clarification feel free to ask! Hope this helps.

A: For this equation you would use distributive property leading you to multiply 3x and 2 by 4 giving you a new expression. 12x + 8 - 2. After this you would just simplify the equation by subtracting 2 from 8 giving you 6. This leading to a new equation, 12x + 6.

B: In order to factor the expression you would need to do the reverse of distributive property, finding the GCF, or greatest common factor between the 16 and the 20b. When you do this you result in getting 4 as your GCF. Afterwards you need to divided the numbers by the GCF. Leading you to get 4(5b-4). This is how you would factor the equation.

Answer:

[tex]P(x)=8x-150[/tex]

Step-by-step explanation:

Let

x-----> the number of shirts

we know that

The equation of the cost is equal to

[tex]C(x)=2x+150[/tex]

The equation of the sell is equal to

[tex]S(x)=10x[/tex]

The equation of the profit is equal to

[tex]P(x)=S(x)-C(x)[/tex]

substitute the values

[tex]P(x)=10x-(2x+150)=8x-150[/tex]