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MatroZZZ [7]
3 years ago
11

Dianna has 6 quarters, 5 dimes, and 4 nickels in her purse. She reaches into her purse and randomly grabs two coins. What is the

probability that Dianna grabs two dimes?
A. 1/9
B. 4/45
C. 5/52
D. 2/21
Mathematics
1 answer:
777dan777 [17]3 years ago
4 0
The correct answer is B: 4/45


reasoning:

how to get the answer is simple. first you have to find a common factor. the only common factor in this chart of 15 is 45. even from then you have an obvious answer and can eliminate all other possible answers. :)
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Find measure of angle BDC
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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}

4 0
3 years ago
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y = mx + b

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m: It's the slope

b: It is the cut point with the y axis.

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y = 2x + b

We substitute the given point to find b:

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Finally the line is:

y = 2x + 4

Answer:

y = 2x + 4

7 0
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answer

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