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hodyreva [135]
3 years ago
11

Please help I’m so confused, I’ve been doing testes all day so my brain is fried. Pleaseee

Mathematics
2 answers:
Hunter-Best [27]3 years ago
8 0
20/50 equals .4 which is 40% which is the answer
Trava [24]3 years ago
5 0

Answer: 40%

Step-by-step explanation: 20 hours jogging/ 50 total hours gives you .4 which is 40%

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What is the following quotient?
seropon [69]

Answer:  Choice B) \frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\

==========================================

Work Shown:

\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\

This shows why choice B is the answer.

---------------

Explanation:

  • In the second step, I multiplied top and bottom by (\sqrt{11}+\sqrt{3})
  • This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
  • In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is \sqrt{a}-\sqrt{b} and you want to rationalize the denominator, then you should multiply top and bottom by \sqrt{a}+\sqrt{b}. The same applies in reverse as well.

This leads to the denominator becoming (\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b

Keep in mind that a \ge 0 and b \ge 0

4 0
3 years ago
Find the value of the power. Please do all four questions for 15 pts #1 6³ #2 9² #3 3⁴ #4 18²
defon

Answer:

6³ = 216

9² = 81

3⁴ = 81

18² = 324

Step-by-step explanation:

6³ = 6 · 6 · 6 = 36 · 6 = 216

9² = 9 · 9 = 81

3⁴ = 3 · 3 · 3 · 3 = 9 · 3 · 3 = 27 · 3 = 81

18² = 18 · 18 = 324

3 0
3 years ago
What additional information is needed to prove that
erik [133]
The answer is <a is congruent to < d

because you already have <abe = <dbe 
5 0
3 years ago
Friction causes vehicles, such as this truck, to use more what?
ziro4ka [17]

Answer:

A. Gasoline

Step-by-step explanation:

7 0
3 years ago
Describe the graph of y &gt; mx, where m &gt; 0
Dennis_Churaev [7]

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

6 0
3 years ago
Read 2 more answers
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