Convert 440,000 centimeters to kilometers.

Katen [24]

The correct answer is D

since 3.2222... is a repeating number, it is rational

0.112123123412345 is not repeating and doesn't have a cosistent pattern, so it isn't rational

1.589 is rational because this decimal stops and doesn't continue- it can also be written as a fraction ( $\frac{1589}{1000}$ )

8 0

4 years ago

PLEASE HELP! WILL MARK BRAINLIEST

omeli [17]

1)

v - 6 ≥ 4

+6 +6

v ≥ 10

Graph: 10 -----------------→ the dot at 10 is filled in because of the "equal to" symbol

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2)

-5x < 15

$\frac{-5x}{-5} > \frac{15}{-5}$ divided by a negative so the symbol flipped

x > -3

Graph: -3 o------------------→ the dot at -3 is NOT filled in because it's NOT "equal to"

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3)

3k > 5k + 12

-5k -5k

-2k > 12

$\frac{-2k}{-2} < \frac{12}{-2}$ divided by a negative so the symbol flipped

k < -6

Graph: ←------------o -6 the dot at -6 is NOT filled in because it's NOT "equal to"

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5)

2t ≤ 4 or 7t ≥ 49

$\frac{2t}{2} \leq\frac{4}{2}$ or $\frac{7t}{7} \geq \frac{49}{7}$

t ≤ 2 or t ≥ 7

Graph: ←------- 2 7 ---------→ the dots at 2 and 7 are filled in

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6)

| n + 2 | = 4

n + 2 = 4 or n + 2 = -4

-2 -2 -2 -2

n = 2 or n = -6

Answer: n = {2, -6}

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7)

| 2x - 7 | > 1

2x - 7 > 1 or 2x - 7 < -1

+7 +7 +7 +7

2x > 8 or 2x < 6

$\frac{2x}{2} > \frac{8}{2}$ or $\frac{2x}{2} < \frac{6}{2}$

x > 4 or x < 3

Graph: ←----------o 3 4 o------------→

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8)

A = {1, 2, 3, 4, 5, 6, 7, 8, 9} B = {2, 4, 6, 8}

A U B = {1, 2, 3, 4, 5, 6, 7, 8, 9} union combines both sets

A ∩ B = {2, 4, 6, 8} intersection includes only those that are in BOTH sets

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9)

P = {1, 5, 7, 9, 13} R = { 1, 2, 3, 4, 5, 6, 7} Q = {1, 3, 5}

P ∩ R ∩ Q = {1, 5}

P ∩ R = {7} disregard 1 & 5 since they are already in P∩Q∩R

R ∩ Q = {3} disregard 1 & 5 since they are already in P∩Q∩R

P ∩ Q = { } disregard 1 & 5 since they are already in P∩Q∩R

P no intersection = {9, 13)

R no intersection = {2, 4, 6}

Q no intersection = { }

If you can't figure out how to draw it based on the information I provided, please see the attached diagram. Note: Usially, you would only identify P, Q, R. I identified the intersections so you would understand why those specific numbers are placed in the designated sections.