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lord [1]
3 years ago
14

itle=" \sqrt{x - 3} + \sqrt{x + 5} = 4" alt=" \sqrt{x - 3} + \sqrt{x + 5} = 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0
  • Answer:

<em>x = 4</em>

  • Step-by-step explanation:

<em>√x-3 + √x+5 = 4</em>

<em>(√x-3)² = (4-√x+5)²</em>

<em>x-3 = 16 - 8√x+5 + x+5 | -x</em>

<em>- 3 = 21 - 8√x+5</em>

<em>- 24 = - 8√x+5 | ×(-1)</em>

<em>24 = 8√x+5 | : 8</em>

<em>3 = √x+5</em>

<em>3² = (√x+5)²</em>

<em>9 = x + 5</em>

<em>x = 4</em>

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The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?​
Irina-Kira [14]

Answer:

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Step-by-step explanation:

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2 years ago
Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?
sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

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Amount of sales tax = \frac{6.25}{100}*23.90=\frac{149.375}{100}

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Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/11584312
  • brainly.com/question/116059

#LearnwithBrainly

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