Answer:
1/3 is the answer.
Step-by-step explanation:
Tanya prepared 4 different letters to be sent to 4 different addresses.
To solve this we can do the following:
The probability that the 1st letter is in the right envelope is = 
The probability that the 2nd letter is in the wrong envelope is = 
The probability that the 3rd letter is in the wrong envelope is = 
The probability that the 4th letter is in the wrong envelope is = 1
So, the answer becomes: 
= 
As we need 4 correct letters in the envelope, we will multiply by 4:
Multiply the horizontal side by the vertical side to find the area
Answer as a fraction: AB = 127/13 (exact)
Answer in decimal form: AB = 9.76923 (approximate)
Sides AC and BC are the same length as AB.
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Work Shown:
AB = (3/2)x+4
AC = (1/5)x+9
These sides are equal to each other since all sides of an equilateral triangle are the same length.
AB = AC
(3/2)x+4 = (1/5)x+9
10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below
10*(3/2)x + 10*4 = 10*(1/5)x + 10*9
15x + 40 = 2x + 90
15x-2x = 90-40
13x = 50
x = 50/13
Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.
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Once we know what x is, we plug it into the expression for AB
AB = (3/2)x+4
AB = (3/2)*(50/13) + 4
AB = (3*50)/(2*13) + 4
AB = (3*2*25)/(2*13) + 4
AB = (3*25)/(13) + 4
AB = 75/13 + 4
AB = 75/13 + 52/13
AB = (75+52)/13
AB = 127/13 which is exact
AB = 9.76923 which is approximate
Because we have an equilateral triangle, AB = BC = AC.
Answer:
Ok
Step-by-step explanation:
Answer:
y=7600(5^(t/22))
Step-by-step explanation:
This is going to be an exponential function as it grows rapidly.
This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.
x=t/22
a=7600
r=5
∴y=7600(5^(t/22))
