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3 years ago

Solve the inequality for V. -8.3 _>_ V - 1.9

Mathematics

1 answer:

Arada [10]3 years ago

6 0

First keep in mind that the given value is negative and that it is greater than or equal to whatever 'v' is.

$-8.3 \geq v - 1.9$

When solving for a variable in any equation, you do something to both sides in order to keep it equal. Here, v is being subtracted by 1.9; therefore we can add 1.9 to both sides in order to isolate the variable.

$-8.3 + 1.9 \geq v - 1.9 + 1.9$
$-6.4 \geq v$

Despite not needing a value for the question, it is worth noting that since this is an inequality, v can be any value from -6.4 to ∞ in order to make it true.

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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

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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

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y = 28

Therefore, total number of ships that survived is 28.

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Collect like terms

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

x - (1/2x) = 30

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

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