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GenaCL600 [577]
3 years ago
6

What is a dynastic cycle and where did it occur?

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0
A cycle that tells about its culture in the Chinese history. It occured in the Mandate of Heaven.
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In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
3 years ago
Someone help me with the ASAP!
JulsSmile [24]

\mathsf{Given :\;\;\dfrac{12}{\frac{3}{5}}}

\mathsf{:\implies 12 \times \dfrac{5}{3}}

\mathsf{:\implies 4 \times 5}

\mathsf{:\implies 20}

4 0
3 years ago
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Which one of these expressions represent solutions to the equation y2=100
andriy [413]

y^2=100

y = √100

y = 10 and y = - 10

Answer

E. -10  

F. 10


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3 years ago
Which expression is equivalent to...Assume that the denominator does not equal zero.
skad [1K]

Answer:

B.

Step-by-step explanation:

If you simple this expression we can see that 7/35 will simplify to 1/5 first. As for the exponents, you can write them out to make it easier to cancel, shown in the photo.

6 0
3 years ago
Whats 3 divided by 612
Novay_Z [31]
3 divided by 612=0.00490196
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