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professor190
10 days ago
5

On my 30th birthday, I plan to light 30 candles on my cake and blow 30% of them. How many candles will stay lit after I'm done?

Mathematics
2 answers:
Svet_ta [12.7K]10 days ago
8 0

30 candles equal 100%

30% of 100% equals 9 candles from a total of 100 candles

After extinguishing 30% of the candles, 9 will remain lit.


PIT_PIT [12.4K]10 days ago
6 0
To form a proportion, arrange it like this:

———- = ————
This can be used for similar future problems.

Position 100 on the left side as the denominator, since percentages always reference 100. On the right side, put 30 as the denominator over the total. Place x in the top portion on the right, representing the unknown part. In the numerator on the right, include 30%/the percentage value.
Multiply across and then handle the remaining division.
1) Perform the multiplication: 30 candles x 30 = 900
2) Execute the division: 900/100 = 9

After blowing out 30% of your 39 candles, 9 candles will remain lit.
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15 days ago
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do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots? ​
Zina [12379]

Given parameters:

  Equation:

          (x-4)²=9

Problem: Solve the equation by both factoring and extracting the square root.

Solution:

    Starting equation:

                  (x-4)²=9

         Subtracting 9 from both sides brings us to zero;

                (x-4)² - 9 = 0

                (x -4)² - 3² = 0

  This fits the concept of the difference of squares;

          x² - y² = (x + y)(x-y)

                     

Let x  = x-4 and y = -3

  Then input and solve;

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              (x - 7)(x - 1) = 0

S thus,

             x - 7 = 0 or x-1 = 0

             x = 7 or 1

<pBy extracting the square roots;

          (x-4)² = 9

         √(x-4)² = √9

              x - 4 = 3

              x  = 4 + 3 = 7; however, this is not the sole solution

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7 0
1 month ago
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If there are any discrepancies, please inform me and I will recalculate!

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