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liubo4ka [24]
4 years ago
9

J+1/2=3 9/14 please show your work if possible . ty a) 1/7 b) 4 1/7 c) 1 5/9  d) 3 1/7

Mathematics
1 answer:
MatroZZZ [7]4 years ago
6 0
J + 1/2= 3 9/14
convert 3 9/14 to improper fraction

J + 1/2= [(3*14)+9]/14

J + 1/2= 51/14
subtract 1/2 from both sides

J= 51/14 - 1/2
change both to common denominators (of 14 in this case)

J= 51/14 - 7/14
subtract numerators only

J= 44/14
simplify numerator and denominator by 2

J= 22/7
convert back to mixed number

J= 3 1/7


ANSWER: J= 3 1/7

Hope this helps! :)
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x¹= 5

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suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet
Rom4ik [11]

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

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5 0
3 years ago
Put these fractions in order least to greatest. 4/6 1/3 and 1/5
stiv31 [10]

Answer:

1/5 < 1/3 < 4/6

Step-by-step explanation:

Using the given inputs:

4/6 1/3 1/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

4/6 1/3 1/5

20/30 10/30 6/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/5   1/3   4/6

6/30 < 10/30 < 20/30

Therefore, the sorted inputs in order from least to greatest is:

1/5 < 1/3 < 4/6

6 0
3 years ago
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