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kompoz [17]
3 years ago
6

Solve 4(x - 3) - 2(x - 1) > 0.

Mathematics
1 answer:
kap26 [50]3 years ago
4 0
4(x - 3) - 2(x - 1) > 0

4x - 12 - 2x + 2 > 0

2x - 10 > 0      |add 10 to both sides

2x > 10    |divide both sides by 2

x > 10 ⇒ x ∈ (10; ∞)
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A worker in an assembly line takes 7 hours to produce 28 parts. at that rate, how many parts can she produce in 35 hours?
olya-2409 [2.1K]
During 7 hours: 28 parts assembled
during 14 hours: 56 parts assembled
during 21 hours: 84 parts assembled
during 28 hours: 112 parts assembled
during 35 hours: 140 parts assembled
7 0
3 years ago
Help me pleaseeee asap
sdas [7]

Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = \pi × r² × h

Volume of cylinder = \pi × 9² × 20

                                = 1620\pi

                                = 5089.4cm³ (rounded to 1 d.p.)

4 0
3 years ago
Show What You Know: One-Step Equations
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5 0
3 years ago
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The radius of the cylinder is 3 inches and the height is 8 inches. Find the volume of the cylinder.
Dafna11 [192]

Answer:

1584/7 in² ≈ 226.3 in²

Step-by-step explanation:

Given,

  • Radius R = 3 in
  • Height H = 8 in
  • Volume V = ?

We know that,

Volume(Cylinder) = πr²h

Substitute values,

  • π(3²)8
  • 9(8)π
  • 72π

Taking π as 22/7

  • 72*22/7
  • 1584/7 ≈ 226.3 in²

5 0
2 years ago
HELP ASAP<br> Find the 15th term or the geometric sequence 7, -21, 63,
mihalych1998 [28]
<h3><u>Answer:</u></h3>

33480783

<h2><u>Step-by-step explanation:</u></h2>

<u>Finding the Common Ratio:</u>

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        <em>(Where n is any integer)</em>

<em>replacing the values, taking n=2</em>

r = -21 / 7

r = -3

<u>Solving for the 15th Term:</u>

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     <em>(where a is the first term and r is the common ratio)</em>

<em>replacing the values (taking n = 15 since we need the 15th term)</em>

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

5 0
3 years ago
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