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PolarNik [594]
3 years ago
5

Solve 2/3 x > 8 or 2/3 x <4

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer:

Option 1: {x | x > 12 or x < 6}

Step-by-step explanation:

Given inequalities will be solved one by one:

\frac{2}{3}x >8\\2x > 8*3\\2x>24\\x > \frac{24}{12} \\x>12

Or

\frac{2}{3}x

Hence we can see that the solution of both inequalities combined is:

x>12 or x<6

Hence, option 1 is correct ..

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A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
madreJ [45]
Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 
4 0
3 years ago
Read 2 more answers
Simplify the following expression. (19x + 4y) + (49x + 32y)
Valentin [98]

Answer:

68x + 36y

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(19x + 4y) + (49x + 32y)

<u>Step 2: Simplify expression</u>

  1. Combine like terms (x):                    68x + 4y + 32y
  2. Combine like terms (y):                    68x + 36y
4 0
3 years ago
A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teacher
Yuri [45]
You would do 300• 31/100 to get 90. I’m pretty sure that’s right
4 0
3 years ago
Plz help me! I don’t get it
34kurt
Y= -3.5/1x + 4 because
3 0
3 years ago
Read 2 more answers
-3x+6y= -3 and -5+y=-23
Ira Lisetskai [31]

-5 +y = -23

add 5 to each side

y = -18

-3x+6y = -3

-3x + 6(-18) = -3

-3x -108 = -3

add108 to each side

-3x = 105

divide by -3

x = -35


x=-35

y= -18



5 0
3 years ago
Read 2 more answers
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