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garik1379 [7]
2 years ago
7

Really need help quick GR5 question

Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
7 0

The amount of money he won

kenny6666 [7]2 years ago
3 0

Answer:

Amount won : $3,000,000

Step-by-step explanation:

Let the amount won be =100 x

Amount spent on house :

                                     \frac{4}{5} \ of \ 100  x = 80 x

Remaining amount = 100x - 80x = 20x

Amount spent on yacht :

                                    \frac{3}{4} \ of \ 20x = 15x

Remaining amount = 20x - 15x = 5x

Amount spent on a trip :

                                   \frac{2}{3} \ of \ 5x = \frac{10}{3}x

Remaining amount =

                         5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}

This amount is given for charity :

                                                     \frac{5}{3}x

But given :

           Amount given to charity is  50000

Therefore ,

                 \frac{5}{3}x = 50000

                5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000

Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000

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Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x​
Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra II</u>

  • Exponential to Logarithmic:                                                                             \displaystyle b^m=x \rightarrow log_bx=m

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Raise both sides to the 10th power:                                \displaysytle 10^{0.77} = 10^{logx}
  2. Simplify:                                                                                                             \displaysytle x = 10^{0.77}
  3. Evaluate:                                                                                                           \displaysytle x = 5.88844
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16

Step-by-step explanation:

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Estimate the side length of a square that has a 9cm long diagonal
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S^2 + s^2 = 9^2 => 2s^2 = 81 => s^2 = 81/2 => side length s = 9(sqrt(2))/2 = 6.37 cm.
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3 years ago
Read 2 more answers
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