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Lena [83]
3 years ago
15

Given A = {1, 2, 3), B = {2, 4, 6) and C = {1, 2, 3, 4, 5, 6), then An (Bn C) = _

Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

  {2}

Step-by-step explanation:

A ∩ (B ∩ C) = {1, 2, 3} ∩ ({2, 4, 6} ∩ {1, 2, 3, 4, 5, 6})

  = {1, 2, 3} ∩ {2, 4, 6}

  = {2}

A ∩ (B ∩ C) = {2}

_____

The intersection of sets is the list of elements common to those sets.

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A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

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y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

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3 years ago
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