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mr_godi [17]
3 years ago
7

Solve the inequality. Graph the solution. |3x-3|+3<12

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

|3x-3|+3 < 12\ \ \ \ |-3\\\\|3x+3| < 9\iff3x+3 < 9\ \wedge\ 3x+3 > -9\ \ \ \ |-3\\\\3x < 6\ \wedge\ 3x > -12\ \ \ \ \ |:3\\\\x < 2\ \wedge\ x > -4\\\\-4 < x < 2

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Aiden paid $1.50 for 5 pounds of watermelon.What is the unit price for the watermelon?
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$1.50 ÷ 5 = $.30 per pound
4 0
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A(n)= 3/2 (-2) n-1 what is the third term
Phoenix [80]
3rd term is equal to 6
8 0
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3. d-6 = -10<br> 4. m-14=-17<br> 5. w-23=59<br> 6. x-57= -15<br> 7. x-31= -7<br> 8. x + 51= -9
SVEN [57.7K]

Answer: 3. d= -4    , 4. m= -3  , 5. w= 82 , 6. x=42 , 7. x=24 , 8. x= -60

Step-by-step explanation:

3. Step 1: Add 6 to both sides.

d−6+6=−10+6

d=−4

4. Step 1: Add 14 to both sides.

m−14+14=−17+14

m=−3

5. Step 1: Add 23 to both sides.

w-23+23=59 + 23

w= 82

Continue to repeat the step for the other ones. If there is a positive then subtract on both sides!

4 0
3 years ago
A nurse must mix a 20% solution of medication in an existing container of water. The container currently holds 12 ounces of wate
gayaneshka [121]

Answer:

3 ounces of medication to be added to get 20%solution of medication

Step-by-step explanation:

To find:

The amount of medication to be added to 12 ounces of water to get a 20% solution

Let the amount of medication to be added =x

So total amount of mixture = amount of water + amount of medication

= 12+x

% medication =  (amount of medication÷total amount of the mixture)× 100

Therefore

% medication =(  x÷12+x)×100

20 =(  x÷12+x)×100

20 =\frac{x}{12+x} X 100

20(12+x) =100x

240+20x =100x

100x-20x =240

80x =240

x =240÷80

x=3

so 3 ounces of medication to be added to get 20%solution of medication

5 0
3 years ago
The blueprints of a house show that a wall is 21 feet long. If the blueprints have a map scale of 1.5 inches = 3 feet, how long
Lyrx [107]

Answer:

10.5 inches

Step-by-step explanation:

6 0
3 years ago
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