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Rainbow [258]
2 years ago
9

HELP PLEASE 5/12-(x-3)/6≤(x-2)/3 Solve with a step by step solution

Mathematics
1 answer:
zlopas [31]2 years ago
8 0

Answer:x>3 1/6

Step-by-step explanation:

5/12-(x-3)/6 <(x-2)/3

5/12 *12-(x-3)/6*12<(x-2)/6*12

5-2(x-3)<4(x-2)

5-2x+6<4x-8

-2x+11<4x-8

-2x<4x-19

-6x<-19

-6x(-1)<-19(-1)

6x>19

x>19/6

x>3 1/6

just change all the inequality signs to a x is greater or equal to 3 1/6 and on the rest change to and < and equal sign only put > or equal sign on the last three lines

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Help asap my last question GIVING BRAINLIST!!!!
Alex

Answer:

1) x < 0

2) x > 0

3) x < 10

4) x < -\frac{31}{55}

5) x \geq 0

6) x \geq -1

Step-by-step explanation:

1) -3 > 2x -3

2x- 3 < -3

2x - 3 + 3 < -3 +3

2x < 0

\frac{2x}{2} < \frac{0}{2}

x < 0

2) 5 > -x + 5

-x + 5 < 5

- x + 5 -5 < 5 - 5

-x < 0

\frac{-x}{-1} < \frac{0}{-1}

x > 0

3) \frac{x}{5} -2 < 0

5 \times (\frac{x}{5} - 2 ) \times 5 < 0

x - 10 < 0

x -10 + 10 < 0 +10

x < 10

4) -5x + 11 > 31

-5x \cdot 11 < 31

-55x < 31

\frac{-55x}{-55} > \frac{31}{-55}

x < -\frac{31}{55}

5) \frac{1}{2}x - 4 \geq -4

\frac{1}{2}x -4 +4 \geq -4 +4

\frac{1}{2}x \geq 0

\frac{\frac{1}{2}x }{\frac{1}{2} } \geq \frac{0}{\frac{1}{2} }

x \geq 0

6) -4x + 2 \leq 6

-4x +2 - 2 \leq 6 -2

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\frac{-4x}{-4} \leq  \frac{4}{-4}

x \geq -1

6 0
3 years ago
What is 2 wholes minus 1/4
bonufazy [111]
2-1/4
2/1=8/4       Multiply top and bottom by 4
8/4-1/4
7/4
1 3/4
3 0
3 years ago
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In trip 1 you drove 104 miles in 4 gallons; in trip 2 you drove 78 miles how many gallons did you use in trip 2
BlackZzzverrR [31]
First do 104/4 which equals which equals 26
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then do 78/26 which equals 3

so you used 3 gallons of gas on trip 2
4 0
3 years ago
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zheka24 [161]
This explanation shall help you, To find a mean you first need to add
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4 0
3 years ago
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A fish tank has 35 gallons of water in it, but suddenly starts leaking. Water is leaking from the tank at a rate of 1/4 gallon p
Norma-Jean [14]

Answer:

35 - m

Step-by-step explanation:

A tank containing 35 gallons of water is leaking at a rate of gallon per minute.

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Number of gallons of water left = 35 gallons – number of minutes spent  rate of leakage.

Number of gallons of water left = 35 gallons – m minutes  1 gallons per minute

8 0
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