Answer:
(13/24)
Step-by-step explanation:
let’s find a common number that we can get on the denominator
4 can be multiplied to get 48
6 can be multiplied to get 48
and 8 can also be multiplied to get 48
4(12) = 48
so for the equation (1/4) the numerator and denominator will both be multiplied by 12
(1/4)x(12/12) = (12/48)
6(8)= 48
(1/6)x(8/8) = (8/48)
8(6) = 48
(1/8)x(6/6) = (6/48)
now the fractions are
(12/48)+(8/48)+(6/48)
we can add them now because they have the same denominator and we get:
(26/48)
this can be simplified if we divide both the numerator and denominator by 2 and we get
(13/24)
Answer:
Two possible solutions
Step-by-step explanation:
we know that
Applying the law of sines

we have



step 1
Find the measure of angle A

substitute the values


The measure of angle A could have two measures
the first measure------->
the second measure ----->
step 2
Find the first measure of angle C
Remember that the sum of the internal angles of a triangle must be equal to
substitute the values
step 3
Find the first length of side c

substitute the values


therefore
the measures for the first solution of the triangle are
, 
, 
, 
step 4
Find the second measure of angle C with the second measure of angle A
Remember that the sum of the internal angles of a triangle must be equal to
substitute the values
step 5
Find the second length of side c

substitute the values


therefore
the measures for the second solution of the triangle are
, 
, 
, 
Answer:
Consider the complete question is,
'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,
- Determine the probability that Frank will win the contest,
- Determine the probability that Frank will not win the contest'
Solution :
We know that,
Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.
We have,

So, total outcomes = 2 + 9 = 11,

Thus, the probability that Frank will win the contest = 
And,
The probability that Frank will win the contest = 
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Define the numbers:
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Let x be one number.
One number = x
Other number = 5x
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Construct the equation:
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5x - x = 80
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Combine like terms:
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4x = 80
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Divide by 4 on both sides:
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x = 20
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Find the 2 numbers:
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One number = x = 20
Other number = 5x = 5(20) = 100
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Answer: The two numbers in increasing order are 20 and 100.
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