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zvonat [6]
2 years ago
14

Solve the inequality, 4(2x+2)+12>100

Mathematics
1 answer:
stellarik [79]2 years ago
7 0

X>10
Start by distributing the part on the left
1. 4(2x+2)+12>100
2. 8x+8+12>100
Next calculate
3. 8x+20>100
Now you’ll need to move the constants to the right
4. 8x>100-20
Calculate.
5. 8x>80
Now divide
6. 8x>80
/8 /8
7. X>10
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How many password are possible if you want to use 5 letters and they cannot be repeated.
hram777 [196]

Answer:

100,000 possible passwords

Step-by-step explanation:

5 vowels, each of the letters in the password can be chosen: 5^5=3125.

If it's case sensitive, then there's 10 choices for each character: 5^10= 100,000

3 0
3 years ago
What are the solutions to the equation 3x2 + 3x +7 = 0?​
KATRIN_1 [288]

Answer:

x is equal to 0.94 and -1.94

Step-by-step explanation:

3x² + 3x + 7 = 0

9x² + 9x + 21 = 0

9x² + 9x + 2.25 = 18.75

(3x + 1.5)² = 18.75

3x + 1.5 = ±√18.75

3x = -1.5  ±√18.75

x = (-1.5  ±√18.75) / 3

x = 0.94, -1.94

7 0
3 years ago
What is the price per lb of brand X coffee if 3 lb were mixed with 9 lb of brand Y coffee which costs $18/lb to make 12 lb of Ka
Georgia [21]

Answer:

$14 per lb

Step-by-step explanation:

Given:

  • Brand Y = $18 / lb
  • Special Blend = $17 / lb

Let x be the price per lb of brand X coffee

3 lbs of brand X coffee + 9 lb of brand Y coffee = 12 lbs of special blend

⇒ 3x + 9(18) = 12(17)

⇒ 3x + 162 = 204

⇒ 3x = 42

⇒ x = 14

Therefore, brand X costs $14 per lb

4 0
2 years ago
Read 2 more answers
the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th
miss Akunina [59]

Answer:

The volume of the pyramid is V=187\ ft^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^{2}

H=6\ ft

substitute

V=\frac{1}{3}(93.5)(6)=187\ ft^{3}

5 0
3 years ago
Read 2 more answers
Yolanda needs to ship a 35 pound package. If she has to pay 52of a dollar per pound, what is the amount, in dollars, that she ne
ki77a [65]

Answer:

$1820

Step-by-step explanation:

35 x 52 = $1820

4 0
2 years ago
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