Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?

Answer:

[tex]2000 \: and \: 9.[/tex]

[tex]it \: could \: be \: the \: sum \: of \: any \: two \: \\ positive \: integers \: so \: they \: are : \\ 2000 \: and \: 9[/tex]

Let's consider a much smaller value and work our way up to the factorial 2009!

Start with a+b = 2. The value 2 is the smallest right hand side possible since a > 0 and b > 0, so a = b = 1 is the smallest a,b possible.

The only solution to a+b = 2 is a = b = 1 as mentioned.

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Now move onto a+b = 3. We have two solutions:

a = 1, b = 2

a = 2, b = 1

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Now move onto a+b = 4. We have three solutions

a = 1, b = 3

a = 2, b = 2

a = 3, b = 1

Note how 'a' counts up while b counts down. I have 'a' starting at the smallest value, and b is set to add with 'a', getting to the right hand side.

So 'a' counts up to 3, while b counts down from 3.

We cannot reach 4 since 0 is not allowed for a or b.

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The conjecture is that a+b = k has k-1 positive integer solutions. A simple proof of this is to list out all solutions like so

a = 1, b = k-1

a = 2, b = k-2

a = 3, b = k-3

....

a = k-3, b = 3

a = k-2, b = 2

a = k-1, b = 1

Where k > 2

Going from 1 to k-1 is exactly k-1 items. It's similar to how {1,2,3,..,m} has m different integers in it. Replace m with k-1 and you have the same idea.

This confirms there are k-1 solutions listed above.

The last step is to simply replace k with 2009! and we have 2009! - 1 different ordered pair solutions

Since the factorial 2009! is so massive, it's best to not expand this out using a calculator. Many calculators would produce "overflow", or similar, if you tried to compute the factorial 2009!

Answer:

I am pretty it's A

Step-by-step explanation:

Basically the Associative Law of Addition means that the order that the numbers are added does not matter.

Answer:

A. (–4 + i) + 4i = –4 + (i + 4i)

Step-by-step explanation:

edge2020

Have a great day y'all :)

Answer:

The answer is free electrons

Step-by-step explanation:

When electrons flow with little resistance through a conductor, then it is called a Electricity.

"The electron is a subatomic particle whose electric charge is negative one elementary charge."

"Resistance is a measure of the opposition to current flow in an electrical circuit."

"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "

The steady flow of electrons through a conductor is called electricity

Hence , if electrons are flowing that means they conducts electricity.

Learn more about electricity here

https://brainly.com/question/8971780

#SPJ2

Answer:

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

−2x+7=x−2

Step 1: Subtract x from both sides.

−2x+7−x=x−2−x

−3x+7=−2

Step 2: Subtract 7 from both sides.

−3x+7−7=−2−7

−3x=−9

Step 3: Divide both sides by -3.

−3x /−3      −9 /−3

Answer:

x=3

                                            Hope this helps

                                                     (>'-'<)    

Answer:

Yes

Step-by-step explanation:

3 x 48 = 144

4 x 36 = 144

They are equal.

Answer:

3 * 48 is 144 4 x 36 is also 144 so yes they are equal

Answer:

B. The cost of a smoothie

Step-by-step explanation:

The answer to the problem: 8.75 + 2.85 = $11.60

But to solve the problem you have to know the price of a smoothie.

Answer:

Step-by-step explanation:

a² + b² + c² = ab + bc + ca

On multiplying both sides by “2”, it becomes

2 ( a² + b² + c² ) = 2 ( ab + bc + ca)

2a² + 2b² + 2c² = 2ab + 2bc + 2ca

a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0

a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0

(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0

(a – b)² + (b – c)² + (c – a)² = 0

=> Since the sum of square is zero then each term should be zero

⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0

⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0

⇒ a = b, b = c, c = a

∴ a = b = c.

hence

a+b/b​

a+a/a= (since a=b)

2a/a=

a....

A,B,C

Step-by-step explanation:

Answer:

A, B and C

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150 divided by 5 is 30 i hope this helps

Answer:

The unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!

Answer:

10km/hr

Step-by-step explanation:

Given that:

Distance covered by both Dee and Ron= 20km

Ron's speed = 8km/hr

Dee made three 10 minute stops during the race.

Time it took Ron to cover 20km

Time = distance / speed

20km / 8km/hr = 2.5 hours = 150 minutes

Since they both tied ;

Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours

Ron's speed = distance / time

Speed = 20 km / 2hours

Speed = 10km/hr

Answer:

x=35 degrees

y=85 degrees

Step-by-step explanation:

2x+25=3x-10

x=35

2*35+25=95

180-95=85

Answer:

y=85

Step-by-step explanation:

2x+25 and 3x-10 are reflexive angles, which means they are equal.

First, we must find [tex]x[/tex]. We can do [tex]2x+25&=3x-10[/tex], x=35. We can now do [tex]2\cdot(35)+25=70+25=95[/tex]. There are 180 degrees on that line, which means that [tex]y=180-95=85.[/tex]

Answer:

  piece1:   14 feet

  piece2:  16 feet

Step-by-step explanation:

piece1:   x

piece2:  x + 2

x + x + 2 = 30

2x + 2 = 30

2x = 28

x = 14

piece1:   x = 14

piece2:  x + 2 = 14 + 2 = 16

Answer:

A ÷ (WH)

Step-by-step explanation:

Answer:

4 1/6

Step-by-step explanation:

2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6

Answer:

Look below

Step-by-step explanation:

To find a slope with 2/5, you can use y2 - y1/x2 - x1. The 1 and 2's can be different but you cannot mistake the x and y.

1st example:

(1, 5), (6, 7)

Reason: (7-5)/(6-1) = 2/5

2nd example:

(2, 8), (7, 10)

Reason: (10 - 8)/(7 -2) = 2/5

3rd example:

(5, 2), (10, 4)

Reason: (4-2)/(10 -5) = 2/5

Hope this helped!!!!!

Answer:

x-8≤17

x ≤ 25

Answer:

-5

Step-by-step explanation:

h(-2)=3(-2)+1

= -6+1

= -5

hope this help you!! :))))))

Answer:

Your answer is correct.

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

6 2/3*-4 1/5=

20/3*-21/5=

4/3*-21/1=

4/1*-7/1=

-28

Answer:

there are 438 blue marbles and 162 red marbles

Step-by-step explanation:

If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply  27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.

hope this helps

Answer:

(-1,1)

Step-by-step explanation:

Answer and explanation:

Please find answer and explanation attached

Answer:

5 toppings

Step-by-step explanation:

Given that :

Doug's pizza:

Sales price of pizza :$12 plus

Topping (t) = $3 per topping

Jake's pizza:

Sales price of pizza :$17 plus

Topping (t) = $2 per topping

To make their pizza the same price, how many topping needs to be on a pizza of each

12 + 3t = 17 + 2t

3t - 2t = 17 - 12

t = 5

5 toppings each

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

∴ m = 5

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line is 5

→ Substitute it in the form of the equation above

∴ y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

∴ x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

∴ 11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

∴ The equation of the parallel line is y = 5x + 11

Answer:

Step-by-step explanation:

Answer:

3\sqrt{3}

Step-by-step explanation:

look this up and it will give you the answer

pls mark brainliest

Answer:

The sqrt of 3 is an irrational number.

The sqrt of 9 is a rational number.

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.  

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.  

4x+ 8 becomes 4(11)+8 =

44+ 8=

52

Answer: -20/3

Step-by-step explanation:

Answer: It equals -8/3

Answer:

If you mean 3^12 then the answer is 531,441