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kotykmax [81]
3 years ago
12

Ramon took a collection of colored tiles from a box. Amelia took 14 tiles from his collection and Keiko took half of those remai

ning. Ramon had 16 tiles left. How many did he start with?
Mathematics
2 answers:
zimovet [89]3 years ago
4 0
From the given, it is stated that after Amelia took 14 out of the box, Ramon took half of those which remained and he had 16 tiles. The number of tiles left after Amelia took hers is equal to twice of 16 which is equal to 32 tiles. 

To determine the number of tiles during the start, we can add the 14 tiles from the calculated 32 tiles.
    
         n = 14 tiles + 32 tiles
                 n = 46 tiles

<em>Answer: 46 tiles</em>
Firlakuza [10]3 years ago
4 0
Be X the number of tiles Ramon started with.

X -14 = Y

Y/2 =16..............> Y = 32

X = 32 +14 = 46

Ramon started with 46 tiles.

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Solve the system of equations using substitution and Elimination
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<h2>Greetings!</h2>

Answer:

y = \frac{-18}{7} and x = \frac{50}{7}

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply  need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

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Now we can add the two equations:

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Now plug \frac{-18}{7} into the second equation:

10x + 20(\frac{-18}{7}) = 20

10x - \frac{360}{7} = 20

Move the \frac{360}{7} over to the other side, making it a positive:

10x = 20 + \frac{360}{7}

10x = \frac{500}{7}

Divide both sides by 10:

x = \frac{50}{7}

So y = \frac{-18}{7} and x = \frac{50}{7}


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3 years ago
What is the area of a regular hexagon if a side is 30
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<h3>Answer:</h3>

1350\sqrt{3} square units (approximately 2338.26859)

<h3>Step-by-step explanation:</h3>

The formula for finding the area of a regular hexagon when you know its side length is A=\frac{3\sqrt{3}*s^2}{2}, where A is the area and s is the side length.

  1. Substitute in the side length. A=\frac{3\sqrt{3}*30^2}{2}
  2. Simplify the exponent. A=\frac{3\sqrt{3}*900}{2}
  3. Multiply. A=\frac{2700\sqrt{3}}{2}
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1350\sqrt{3} is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

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