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Sholpan [36]
3 years ago
7

Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

50%

Step-by-step explanation:

Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.

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Step-by-step explanation:

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)​
Leviafan [203]

Answer:

\huge\boxed{x=1\ \vee\ x=2}

Step-by-step explanation:

3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}

\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}

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3 years ago
Eric wrote the number 57,378. How many
melisa1 [442]
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3 years ago
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olya-2409 [2.1K]
Prob(spinning a number < 3on 1 spin)  = Prob( spinning 1 or 2) = 2/5

Prob( spinning <3 3 times) =  2/5 * 2/5 * 2/5  = 8/125

These events are independent so we multiply the probabilities.
4 0
3 years ago
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