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Harlamova29_29 [7]
3 years ago
6

One-third of a number decreased by six equals eight. What is the number?

Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

42

Step-by-step explanation:

8+6=14

14×3=42

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For what values of x is the inequality 2/3 + x/3 >1 true?
Travka [436]

Answer:

B

Step-by-step explanation:

\frac{2}{3} + \frac{x}{3} > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

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Answer:

The inequality x>2 matches the graph.

Step-by-step explanation:

From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.

If the inequality includes < or >, we graph the equation as a dotted line.

From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.

so the interval of the domain of the inequality is: (2, ∞)

Therefore, the inequality x>2 matches the graph.

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3 years ago
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Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
ZanzabumX [31]

Answer:

Step-by-step explanation:

Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.

a) P(E) = P(the difference of the numbers is 3 or more}

Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)

P(E) = \frac{12}{36} =\frac{1}{3}

b)P(F)

Favourable events for F = (1,1) (2,2)...(6,6)

P(F) = \frac{6}{36} =\frac{1}{6}

c) P(EF)

There is no common element between E and F

P(EF) =0

4 0
3 years ago
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Help! locus points!
Liula [17]

Answer:

  1. Circle X with radius 2 cm.
  2. Either of two lines parallel to AB.

Step-by-step explanation:

1. The definition of a circle is all the points in a plane that are at some radius r from a given point (the circle center). That is what you have, with a radius of 2 cm.

__

2. Parallel lines are the same distance apart everywhere. Each line will have two parallel lines at some given distance from it, one on each side. Here, the separation distance from AB is 1 cm, so your locus of points is the two lines parallel AB that are 1 cm from it on either side.

5 0
3 years ago
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