The sum of three consecutive odd numbers is 69. What is the smallest of the three numbers?
Answers
Answer:
21
Step-by-step explanation:
Let the smallest of the numbers be N
The other two numbers (consecutive) would be written as (n + 2), (n + 4)
Expressing these as an equation gives : (n) + (n+2) + (n+4) = 69
opening the bracket and collecting like terms, we have:
n+n+n+2+4=69
3n + 6 = 69
3n = 69 - 6
3n = 63
Dividing both sides by 3 or making n the subject formular, we get:
n = 63/3
n = 21.
Note, the other numbers are: 21, 23, and 25
They are all odd numbers
Their sum equals to 69
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Jessica is asked to solve this problem on her math quiz −29+14=? She remembered that she needed to watch for the signs on the numbers, but she is still confused on how the rules work for addition of integers. In complete sentences, explain to Jessica what rule she would use to solve this problem and how she can tell what the sign on her final answer should be in order to get the question correct on her quiz.
Answers
Answer with explanation:
Given: An urn contains 11 balls, 3 white, 3 red, and 5 blue balls.
You win $1 for each red ball you select and lose a $1 for each white ball you select.
Let X be the number of times you win.
The total number of ways to select 2 balls (order does not matter) =
The number of ways so that two balls are white (and
The number of ways so that two balls are red (and
The number of ways so that one ball is red, one is white (and
The number of ways so that two balls are blue (and ):
i.e.
The number of ways so that one ball is blue, one is white (and ):
The number of ways so that one ball is blue, one is red (and ):
Thus, the probability mass function (p.m.f.) of X would be ( in attachment) :
Answers
it has to be ummmm.........
How many additional wells should be drilled to obtain the maximum amount of oil per day?
Answers
Answer:
The additional wells for maximum amount of oil per day is 3 wells.
Step-by-step explanation:
Given;
initial number of wells, n = 6
total production, T = 1800
average production per well, = 1800/6 = 300 barrels per day
Let the additional well = y
total number of wells after optimization = 6 + y
new production per well = 300 - 25y
new total production = (6+y)(300-25y)
t = 1800 - 150y + 300y - 25y²
t = 1800 + 150y - 25y²
dt / dy = 150 -50y
for maximum value, dt/dy = 0
150 - 50y = 0
50y = 150
y = 150 / 50
y = 3
Therefore, the additional wells for maximum amount of oil per day is 3 wells.
Final answer:
By setting up the equation of the total daily oil production and finding its maximum, we learn that approximately 13 additional wells should be drilled to maximize the daily oil production.
Explanation:
To find out how many additional wells should be drilled to obtain the maximum
amount of oil
per day, we must firstly set up an equation to represent the situation. The total daily oil production is equal to the number of wells multiplied by the daily production per well. Given the conditions in the question, we can express this as:
Total daily oil production = (6 + x) * (1800 - 25x)
where x represents the number of additional wells that should be drilled. In order to find the maximum of this function, we would have to differentiate this equation and set the derivative equal to 0 then solve for x. This would be up to the individual's level of mathematical experience. However, one can use a financial calculator or a graphic calculator to find the maximum and get approximately 13 additional wells.
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Answers
Answer:
303.61
Step-by-step explanation:
if you need explantion tell me and i will edit my answer
Answer:
24.4M
Step-by-step explanation:
B 3 m
C square root 12 m
D square root 18 m
HELP HELP HELp Due by the end of class
Answers
Hope this helps
d = 10
A. 31.4 ft
B. 62.8 ft
C. 13.14 ft
D. 15.7 ft
PREVIOUS
Answers
The Circumference of the circle will be 31.4 feet.
What is circumference of a circle?
Circumference of a circle is the perimeter of a circle.
i.e.
Circumference of a circle = 2πr
We have,
Diameter of circle= 10 feet
So,
Radius of circle feet
Now,
Using the above mentioned formula,
Circumference of a circle = 2πr
i.e.
Circumference of a circle = 2 * 3.14 * 5
So,
Circumference of a circle = 31.4 feet
Hence, we can say that the Circumference of the circle will be 31.4 feet.
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Answer:
Step-by-step explanation:
31.4 feet