The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
y−34=414 what is the answer
Answer: y = 448
Step-by-step explanation: I’m just good
(ANSWER ASAP) *Still Unanswered* Lines a & b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0). Which statement must be true? 1, 2, 3, or 4?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
I think that is right...?
Step-by-step explanation:
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
Step-by-step explanation:
HELP BRIANLIEST TO BEST ANSWER
The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number of pencils in stock is 650.
The number of days is the independent variable.
True or false
Answer:
If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.
Step-by-step explanation:
Answer:
false they are measuring the amount the sold
The point P (5, -1) is rotated 270° counterclockwise around the origin.
What are the coordinates of the resulting point P prime?
Answer:
(-1,-5) Hopes this helps you :)
Step-by-step explanation:
Carlos spends 17 hour in a two-week period practicing the piano how many hours does he practice in 5 weeks
Answer:
51
Step-by-step explanation:
Answer:
42.5 hours
Step-by-step explanation:
17 hours/2 weeks
x hours/5 weeks
17*5=2x
42.5=x
Which fraction is represented by point A on the number line?
20 points please help me! If your just gunna say points then nobody even bother actually answering my question.
Answer:
It would be 1
Step-by-step explanation:
because after the number 0 would restart to back to 1
Convert these mixed numbers into improper fraction
1 1/3
PLEASE HELP GIVING BRAINLIEST
f(n) = n2 + 4n
g(n) = - 2n - 2
Find f(n) + g(n)
Answer:
(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)
(g x h)(n) = -3n^3-4n^2 -8n + 8
(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7
Step-by-step explanation:
Answer:
1. n = 0
n = f -4
2. n = - 2/g+2
3. fn+gn
Step-by-step explanation:
Find the measure of each unknown angle.
Answer:
= 56°
= 34°
Step-by-step explanation:
3x + 5 + 2x = 90°
3x + 2x + 5 = 90°
5x + 5 = 90°
5x = 90 - 5
5x = 85
x = 85/5
x = 17
3x + 5
= 3(17) + 5
= 51 + 5
= 56°
2x
= 2(17)
= 34°
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
The cost of 5 kg of potatoes is £3.20
The cost of 0.5kg of carrots is 29p
Work out the total cost of 12 kg of potatoes and 1.5 kg of carrots.
Answer:
12kg=7.68
1.5=87
Step-by-step explanation:
I found the cost per kg
4. The table below shows how much water is needed compared to flour, in a given recipe. What is
the ratio of flour to water (in simplest form)?
Flour (cups).
6
9
10
12
Water (cups)
2.
3
3 1/3
4
Answer:
1 to 3
Step-by-step explanation:
because if you were to divide by 2 you would get your base number 1 that is simplest form
Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. The sample variance S 2 of these ten measurements is 0.0653 and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.0653 if the true population variance is 0.04
Answer:
0.101
Step-by-step explanation:
Given that :
Standard deviation, s = 0.2
Sample variance, s² = 0.0653
Sample size, n = 10
Population variance = σ² = 0.04
We use the Chi square distribution :
(n - 1)s² / σ²
For P(s² ≥ 0.065)
(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04
(n - 1)s² / σ² = 0.585 / 0.04 = 14.625
P(s² ≥ 14.625) = 0.101 ( chi squee calculator).
The school band is having its end-of-year dinner at a local restaurant. The director wants to give the server a 20% gratuity, and the sales tax is 8.25%. He
will use the amount of the bill to find each additional amount.
Part A
Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, <?
Select all the components of the equation.
X+0.20
0.825x
0.20x
x+0.825
0.0825x
x
Answer:
Step-by-step explanation:
x is the amount of the bill
tax = 8.25% of x = 0.0825x
tip = 20% of x = 0.20x
total payment = x + 0.0825x + 0.20x = 1.2825x
The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let total cost of the meal be represented as A
Now , the equation will be
Let the cost of the meal be x
Let the tip percentage be = 20 %
Now , the sales tax percentage of the meal = 8.25 %
So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )
Substituting the values in the equation , we get
The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x
On simplifying the equation , we get
The total cost of the meal A = x + 0.2x + 0.0825x
The total cost of the meal A = 1.2825x
Hence , the equation is A = 1.2825x
To learn more about equations click :
https://brainly.com/question/19297665
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Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
(3 - 8)/(1 + 4)= -5/5= -1
y - 8 = -(x + 4)
y - 8 = -x - 4
y = -x + 4
!!HELPPP ME AND MY FRIENDD!!
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
Help and i will give brainiest if you answer them all if random will report
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Answer:
thank you very much
Step-by-step explanation:
thank you
Lorenzo made a table and a graph for the equation y = 4x.
x
у
12
11
10
9
8
7
6
1
4
2.
8
3
12
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12
Did Lorenzo make these items correctly? Select the true statement,
A. The graph is correct, but the table is not
B. Both are correct
C. Both are incorrect
D. The table is correct, but the graph is not
I’m not sure can someone please answer this
Answer:
Step-by-step explanation:
C:Both are correct
Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22
(3,19), (-1,-13) I need help with this answer
Answer:
Step-by-step explanation:
I need more information
B. 9.526 to the nearest tenth
C. 19.826 to the nearest whole number
Given that the function g is defined by the rule g(x)=3-2x,determine the following
g(a)=
Answer:
The value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Step-by-step explanation:
Given
As the function is given by
[tex]g(x)=3-2x[/tex]
To determine
g(a) = ?
Given the function
[tex]g(x)=3-2x[/tex]
substitute x = a in the function
[tex]g(a) = 3 - 2(a)[/tex]
[tex]g(a) = 3 - 2a[/tex]
Therefore, the value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Stuck on this one question qwq
*12 points*
I'm 99% sure your answer is B!
I hope this answer helped! please mark brainliest and vote 5 stars >:)
If you have 9/10 of a pound of granola, how many 1/5 pound bags can you fill?
you can fill 4 1/2 bags
but why u got so much granola lol
Answer:
4 full bags and 1/2 a bag
Step-by-step explanation:
fred has 20 dollars to spend on 3 gifts. He spent 9 1/4 dollars on gift A and 4 4/5 dollars on gift B. How much money did he have left for gift C?
Answer:
Step-by-step explanation:
Your answer
Money left for gift c is = 5 19/20
Mark it as Brainlist answer. Follow me.
Evaluate the expression x−2×8, if x = 27.8
Answer:
11.8
Step-by-step explanation:
the answer is above hope it helps. mark me as brainlist plz
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
Find the area of the octagon.
The area is _
What’s the answer to the equation “x^-4 • 2x^-3 y^-3” ??
Answer:
Get the app Photo Math
Step-by-step explanation:
Gives you the answer and if they ask to show work they also show a step on step on how they did the work
