Is 2 x+6-x=1/3(3x+18) a one solution ,no solution ,or an infinite numbers of solutions

Answers

Answer 1

Answer: To determine this, the first thing we should do is simplify the expression. As usual, bring like terms to either side of the "=" and then simplify.
2x + 6 - x = 1/3 (3x + 18)
x + 6 = 1/3 (3x + 18)
x + 6 = 1/3 (3x) + 1/3(18)
x + 6 = x + 6

We can already see that both sides have the same expression "x+6". Now, if you try to simplify any further, you will get 0=0. That means that for any value of x, the expression will simplify to 0=0. Because 0=0 is a true statement, for every value of x, the expression will be true. Therefore, there are an infinite number of solutions.

Hope this helped!! :D
Note: If you are still confused, let me know. I realize that I might have been a bit confusing in my explanation

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What is the ratio 15 : 75 in lowest terms?1 : 5

2 : 5

1 : 4

3 : 5

Answers

1:5 is the answer to this question

1:5 is the answer for that problem

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction. A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5). m = –3 and b = m equals negative 3 and b equals negative StartFraction 2 over 3 EndFraction. m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction. m = 2 and b = m equals 2 and b equals negative StartFraction 2 over 3 EndFraction. m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction

Answers

Answer:

B, E

Step-by-step explanation:

Given the first function:

$y=-2x+(2)/(3)$

A Linear System with no solutions is graphically represented by two parallel lines, therefore with the same slope. So in this case, m has to be equal to -2.

And to this inconsistent system, if the linear parameter is not so relevant. So if m=-2 then b may be either equal to -1/3 or -2/3 according to the options.

Given the alternatives

No Solution System:

$\left\{\begin{matrix}y=-2x+(2)/(3) & \n y=-2x-(1)/(3) & \end{matrix}\right.$

$\left\{\begin{matrix}y=-2x+(2)/(3) & \n y=-2x-(2)/(3) & \end{matrix}\right.$

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

Are combinations of numbers and operations what is the word that fills in the blank

Answers

so the question is blank are compbinations of numbers and operations
the answer is a numberical expression or a closed phrase

open phrase=numbers operations and placeholders exg 3+x
closed phrase=numbers operations no placeholder exg 3+4

open sentence=numbers operations placeholder and relation symbol (=><) exg 3+x=8

closed senctance=number operations no placeholder and relation symbol exg
3+4=9

so it's a closed phrase

The height of a trapezoid is 8 inches and its area is 96 inches squared. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Explain how you found your answer.

Answers

Let the length of one base = x. Length of other = x + 6.

Area = (1/2)*(Sum of bases ) * height

96 = (1/2) *(x + x + 6) * 8

96 = (2x + 6) * 4

96/4 = 2x + 6

24 = 2x + 6

2x + 6 = 24

2x = 24 - 6

2x = 18

x = 18/2

x = 9.

Length of bases are x, and x + 6. 9 and 9+6 = 15.

Lengths of bases are 9 and 15 inches.

Compare 25\28 to 5\6

Answers

25\28=0.89286

5\6=0.833333

joseph had a quarter of a cookie. ellen had a half of a different cookie. The peice joseph had was larger. how could ellens peice be smaller? explain.

Answers

My theory is the cookie could be smaller because Ellen's cookie might have been smaller as a full than Joseph's.

For example, Joseph's cookie may have 24 pieces, while Ellen's cookie may have been 4 pieces.

The Cookie that joseph was eating was larger. Half of a small cookie is smaller than a quarter of a larger cookie.

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