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Leokris [45]
3 years ago
10

On the exam, Rebecca successfully created 20 out of 25 vases.

Mathematics
2 answers:
juin [17]3 years ago
7 0

\text{Hello there! :]}

\large\boxed{125 \text { vases}}

\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25}  = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}

zaharov [31]3 years ago
3 0

Answer:

125=_=_=

Step-by-step explanation:

hoped I helped

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Answer:

x=70°

Step-by-step explanation:

y=350° (angle inside triangle equal to 35°)

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Hope it helps!

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3 years ago
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Write the expression in factored form
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2.)\\ \\ n^2 - 9n +14 = 0 \\ \\ a=1 , \ b = -9, \ c = 14 \\ \\\Delta =b^2-4ac = (-9)^2 -4\cdot1\cdot 14 = 81 -56 = 25 \\ \\n_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{9-\sqrt{25}}{2 }=\frac{ 9-5}{2}=\frac{4}{2}= 2

n_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{9+\sqrt{25}}{2 }=\frac{ 9+5}{2}=\frac{14}{2}= 7 \\ \\ Answer : \ n^2 - 9n +14 =(n-2)(n-7)



3.)\\ \\ n^2 + 4n - 12 =0 \\ \\ a=1 , \ b = 4, \ c = -12 \\ \\\Delta =b^2-4ac = 4^2 -4\cdot1\cdot (-12) = 16+48=64 \\ \\n_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-4-\sqrt{64}}{2 }=\frac{ -4-8}{2}=\frac{-12}{2}= -6

n_{2}=\frac{-b+\sqrt{\Delta} }{2a}= \frac{-4+\sqrt{64}}{2 }=\frac{ -4+8}{2}=\frac{4}{2}=2\\ \\ Answer : \ n^2 +4n -12 =(n+6)(n-2)


second way :

2.)\\ \\ n^2 - 9n +14 = n^2 - 9n+2n -2n +14 = n^2 - 7x -2n +14 =\\ \\ = n(n-7)-2(n-7)=(n-7)(n- 2)\\ \\ \\ Answer : \ n^2 - 9n +14 =(n-2)(n-7)
 

3.)\\ \\ n^2 + 4n - 12 = n^2 + 4n +2n - 2n - 12 = n^2 + 6n - 2n - 12 =\\ \\ = n(n+6) -2(n+6)=(n+6)(n-2) \\ \\ \\ Answer : \ n^2 +4n -12 =(n+6)(n-2)



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Answer:

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