The total length of the trip is the number of miles in the trip
The total length of the trip is 974 miles
<h3>How to determine the total length?</h3>
The given parameters are:
- Proportion of sleep = 21%
- Distance awake = 711 miles
If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip
Represent the total length of the trip with T.
So, we have:
73% * T = 711 miles
Divide both sides by 73%
T = 974 miles
Hence, the total length of the trip is 974 miles
Read more about lengths at:
brainly.com/question/24487155
Most of the information's necessary for solving this problem is already given in the question.
Let us assume the number to be = x
Then
25% * x = 19
(25/100) * x = 19
x/4 = 19
x = 19 * 4
= 76
So the unknown number is 76. I hope there is no complexity in the method described above and also the procedure is clear enough for you to understand. You can use this method for solving similar type of problems in future without requiring any additional help from outside.
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
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Explanation:
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To represent 3 (three consecutive odd integers):
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Let "x" be the first odd integer.
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Let "(x+2)" be next consecutive odd integer.
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Let "(x+4") be the third odd integer.
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The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
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6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
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Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1";
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{6(3x + 6) } / 6 = -18 / 6 ; to get:
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3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
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3x + 6 - 6 = -3 - 6 ; to get:
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3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
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3x / 3 = -9 / 3 ; x = - 3 ;
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Remember, from above:
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Let "x" be the first odd integer. We know that "x = -3".
Is this an odd integer? Yes!
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Let "(x+2)" be next consecutive odd integer. So (x+2) = (-3+2) = -1.
Is this an odd integer? Yes! Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
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Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
Is this an odd integer? Yes! Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
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So, our 3 (three) consecutive odd integers are: -3, -1, 1.
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To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?
The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.
6 * -3 = ? -18? Yes!
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The answer is $1.37
and if this is under it-
How many shares of stock does Julie Norris hold if her share of the dividend is $6.85?
The answer is 5
Hope I was helpful
Answer:
The correct answer is 4294967296 possible ways to complete such a test.
Step-by-step explanation:
Step 1
The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are 
ways to complete the first step, 
ways to complete the second step, 
, and 
ways to complete the 
step, this process can be carried out in 
ways.
Step 2
We use the fundamental principle of counting with 
for a total of 
steps. This test can be carried out in 
ways. This comes from multiplying 4 by itself 16 times.
