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xxTIMURxx [149]
3 years ago
12

What value of x is in the solution set of 2(3x-1) 24x 6? a-10 b-5 c-3 d 1​

Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

-1

Step-by-step explanation:

Step 1: Write inequality

2(3x - 1) ≥ 4x - 6

Step 2: Solve for <em>x</em>

  1. <u>Distribute 2:</u> 6x - 2 ≥ 4x - 6
  2. <u>Subtract 4x on both sides:</u> 2x - 2 ≥ -6
  3. <u>Add 2 to both sides:</u> 2x ≥ -4
  4. <u>Divide both sides by 2:</u> x ≥ -2

Step 3: Find

-10 ≥ -2? No

-5 ≥ -2? No

-3 ≥ -2? No

-1 ≥ -2? Yes

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Sidana [21]
Standard form:
5,098,000

Scientific notation. 
1) only 1 digit should be before the decimal point.
5.098000

2) only non-zero number must be part of the coefficient. the rest are included in the base of 10.

5.098 x 10^6  Choice D.

Exponent is the number of times the decimal moved from its original placement to its place after the 1st digit. 
5 0
3 years ago
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Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 14 each week for a number of
zlopas [31]

Answer:

Eric's expression is :

20(\frac{1}{4})^w

and Andrea's is :

(1-0.5)^w

In Eric's expression, 20 represents the initial amount of substance with which he has started the experiment. \thinspace \frac{1}{4}\thinspace is the amount of substance left after each time period (in this case, each week).The variable w in this case represents the number of weeks.

Andrea's expression can be written as :

1\cdot (1-0.5)^w

The one outside of parentheses represents the initial amount of the substance. The one inside of parentheses represents 100% of the original amount of the substance. 0.5 represents the 50% of the substance that is lost each time period. The variable w in this case represents the number of weeks.

8 0
3 years ago
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The volume of a cube is V= S^3 where V is the volume and s is the length of one side what is the volume of a cube if the length
sammy [17]

The volume of cube is 1000 cubic feet

<em><u>Solution:</u></em>

Given that,

<em><u>The volume of cube is given by formula:</u></em>

V = s^3

Where,

V is the volume of cube

"s" is the length of one side

<em><u>What is the volume of a cube if the length of a side s is 10 feet</u></em>

Given, s = 10 feet

<em><u>Substitute s = 10 in given formula,</u></em>

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7 0
3 years ago
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BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

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To make the denominator same and then subtract.

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$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0
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Answer:

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Step-by-step explanation:

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