What does x equal 2(x-3)=14

Mathematics

1 answer:

Leno4ka [110]4 years ago

3 0

Answer: x = 10

Explanation: To solve this equation for x, we start by distributing the 2 through the parentheses on the left side.

So we have 2 times x which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.

Solving from here,

we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that x = 10.

We can check our answer by substituting a 10 back in for x in the original equation and we have 2(10 - 3) = 14.

10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.

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Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm

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Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

$Volume = (4/3) * \pi * radius^3$

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

$Volume = (4/3) * \pi * 7^3$

$Volume = 1436.75\ in^3$

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

$Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes$