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Vadim26 [7]
3 years ago
13

( − 2 ( 4 ) x − 2 ) < − 8 x + 4

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

1. Expand.

8x-6-8=4+2x8x−6−8=4+2x

2. Simplify  8x-6-88x−6−8  to  8x-148x−14.

8x-14=4+2x8x−14=4+2x

3. Add 1414 to both sides.

8x=4+2x+148x=4+2x+14

4. Simplify  4+2x+144+2x+14  to  2x+182x+18.

8x=2x+188x=2x+18

5. Subtract 2x2x from both sides.

8x-2x=188x−2x=18

6. Simplify  8x-2x8x−2x  to  6x6x.

6x=186x=18

7.Divide both sides by 66.

x=\frac{18}{6}x=  18/6

​

​​  

8. Simplify  \frac{18}{6}

​6

​18  to  33.

x=3x=3

Step-by-step explanation:

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Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
lana [24]

The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

7 0
3 years ago
Marcus went on a diet and lost weight. He now weighs 197.4 pounds, which is 84% of his
Ugo [173]

Answer:

228.984 Pounds

Step-by-step explanation:

100 - 84 = 16

197.4 / .16 = 31.584

228.984 <--- Answer

5 0
3 years ago
there are 30 students in ms. McClendon's science class. of the students: 1/2 completed their homework, 40% said there dog ate th
Lina20 [59]

Answer: 10% were missing


Step-by-step explanation:

30 Students = 100% FYI in the problem

1/2 = 50%

50% + 40% = 90%

100% - 90% = 10%

Hope this helps.

3 0
3 years ago
In equilateral ∆ABC length of the side is a. Perpendicular to side AB at point B intersects extension of median in point P. What
allochka39001 [22]
The answer is a+6b, if you want to know the proof please comment on this post
7 0
3 years ago
Read 2 more answers
A factory wants to fill a conical storage tank with sand. The tank has a height of 19.5 meters and a diameter of 30.7 meters
taurus [48]

9514 1404 393

Answer:

  4,811.49 m³

Step-by-step explanation:

The volume of a cone is computed using the formula ...

  V = (1/3)πr²h

Using the given numbers, we find the volume to be ...

  V = (1/3)π(15.35 m)²(19.5 m) = 1531.54625π m³ ≈ 4,811.49 m³

_____

<em>Additional comment</em>

If you inappropriately use 3.14 for π, you get a volume of 4809.06 m³. That 3-digit value is inappropriate because a value accurate to 6 significant figures or more is needed to support an answer accurate to 6 significant figures.

8 0
3 years ago
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