Answer:
3/17 hours per dollarStep-by-step explanation:
Use the ratio below:
$17 → 3 hours$1 → xSolve for x:
17x = 3x = 3/17Step-by-step explanation:
[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]
[tex]\sf\longmapsto \: \$ 1 = x[/tex]
Now, Solve x–
[tex]\sf\longmapsto17x = 3[/tex]
[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]
Therefore,for 3/17 hours of bike a customer get per dollar.
find the y-intercept y= -3/5x-1
The satay in of a line is written as y = slope(x) + y intercept.
In the given equation the y-intercept is -1
A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?
Answer: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?
Step-by-step explanation: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?
n divided by 100 equal 0.982
Answer:
98.2
Step-by-step explanation:
100 x 0.982 = 98.2
98.2 / 100 = 0.982
pls solve the photo?
Answer:
8. B
9. D
Step-by-step explanation:
I think this is right if I'm not mistaken ..
solve pls brainliest
Answer:
0÷3= 0
0/5= 0
Step-by-step explanation:
sorry if I did it wrong
This week, 951 people went to the beach. Last week, 1,173 people went to the beach. The number of people who went to the beach fell by what percent?
HELP ME PLS
the correct written expression for: (9 x 5) + (24 - 9).
Answer:
Step-by-step explanation:
= 45+ 15
=60
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
1 inch
Step-by-step explanation:
Equation:
2/9.4 = x/4.7
9.4 = 9.4x
x = 1
-Chetan K
Help please :))) thank u
Answer:
The distance between A and B is 8.5 after rounded to the nearest tenth
Step-by-step explanation:
The formula you always use for distance between points is as pictured.
Point A is (-6, 4), this is x1 and y1
Point B is (2, 1), this is x2 and y2
(2-[-6])^2 + (1-4)^2
since 2 negatives make a positive, 2 - -6 = 8
1 - 4 = -3
This makes 8 squared and -3 squared
8x8 = 64
-3x-3 = 9
64 + 9 = 73
the square root of 73 = 8.544003745
After rounding to the nearest tenth, it is 8.5
I hope this helps you! Good luck :)
HELP ASAP A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal places.
The magnitude of the vector to two decimal places is 11.40 units
The formula for calculating the magnitude of the vector is expressed as:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }[/tex]
Given the coordinate points (-3, 4) and (6, -3)
[tex]D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D= 11.40[/tex]
Hence the magnitude of the vector to two decimal places is 11.40 units
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La longitud "L" de una recta tangente dibujada desde un punto "A" a una circunferencia es 4/3 del radio "r". La distancia (mínima) de A a la circunferencia es de:
r
r/2
2r/3
4r / 3
Answer:
i......dont........know.... :)
Step-by-step explanation:
yup
Number Relationships
Find the unknown number in the group to make related multiplication
and division sentences. Write the multiplication and division sentences.
4, ?,68
Answer:
17
Step-by-step explanation:
the unknown number needs to be a number that is associated with the minimum and maximum numbers. 17 is four times the minimum number plus 1 and 17 is four times the amount of. 17 to equate to 68.
The standard deviation of a population is 13.
What is the margin of error?
Given the value of the standard deviation of population, if the critical value is 0.65, the Margin of error will be 0.65.
What is margin of error?Margin of error simply shows how many percentage points a results will differ from the real population value.
It can be expressed as;
Margin of error = Critical value × Standard deviation
Given that;
Standard deviation S = 13Margin of error = ?Margin of error = Critical value × Standard deviation
Lets take critical value to be 0.05
Hence,
Margin of error = 0.05 × 13
Margin of error = 0.65
Therefore, given the value of the standard deviation of population, if the critical value is 0.65, the Margin of error will be 0.65.
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what are possible values for a and b in the equation 4^a/4^b=4^-1
Answer: 11
Step-by-step explanation:The given expression is:
=
=
=
Substituting the value of b=-2 in above expression, we get
=
=
=
Thus, the value of the given expression is -11.
******Please help me please help me help please help*****
A.
B.
Answer:
The answer would be A
Step-by-step explanation:
If you were to divide 36 by 5 you would be finding how many calories are in 1/5 of a bar.
PLEASE HELP a great white shark loses an average of 2.7 teeth each year what is the change in the number of teeth a great white shark has in 5 years
13.5 teeth in five years
The Davis's drank 9 gal 1 qt of milk last month and 7 gal 2 qt this month. How much milk is that?
9 gallons + 7 gallons = 16 gallons
1 qt + 2qt = 3 qts
Total = 16 gallons and 3 qts.
West Company borrowed $48,000 on September 1, Year 1 from the Valley Bank. West agreed to pay interest annually at the rate of 9% per year. The note issued by West carried an 18-month term. Based on this information the amount of interest expense appearing on West's Year 1 income statement would be:
Answer:
$1,440
Step-by-step explanation:
Given:
Borrowed amount by west company from valley bank = $48,000
Interest is paid annually = 9% per year
Time period = From 1st September to 31st December
= 4 months
The note issued by West carried an 18-month term.
Therefore,
Interest expense = Principal amount × Rate × Time period
= $48,000 × 9% × (4 ÷ 12)
= $48,000 × 0.09 × (1 ÷ 3)
= $1,440
Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.
PLEASE HELP ME
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?
9514 1404 393
Explanation:
Newton's second law relates force, mass, and acceleration. For the same acceleration, more force is required to change the motion of more mass.
(a) Any fitness routine where velocity changes are involved will be impacted by Newton's second law. A significantly overweight person would have to expend significantly more energy to achieve the same changes of motion in the same period of time.
(b) Any fitness routine in which changes of speed or direction at a specific rate are not required will not be impacted by Newton's second law. These might be Tai Chi routines, weight lifting, or any other routines in which speed of completing a cycle of motion is not a factor.
Solve each absolute value inequality. Graph the solution. 2 ≤ |x| − 8
Answer:
Step-by-step explanation:
Select the reason that best supports statement 5 in the given proof.
A.Substitution
B. Multiplication
C. Addition property of equality
D.Transitive property
The reason that best supports statement 5 in the given proof is Substitution.
What is Number system?A number system is defined as a system of writing to express numbers.
In the given question -
The first reason is given in the question itself.
The second reason is given by congruency.
The third reason is again given in the question.
The fourth reason is also given.
Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
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Four people are painting a house
Rishi paints of the house, Monique paints 25% of the house, Haley paints 0.02 of
the house, and Diego paints 0.1 of the house.
1/8 -> 0.125
25% -> 0.25
0.02 -> 0.02
0.1 -> 0.10
least -> greatest
Haley, 0.02 -> Diego, 0.1 -> Rishi, 1/8 -> Monique, 25%
Arranging the persons from least to greatest
Haley < Diego < Rishi < Monique
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
Given:
Rishi paints = 1/8 = 0.125
Monique paints = 0.250
Haley paints = 0.020
Diego paints = 0.100
Now, arranging the persons from least to greatest
Haley < Diego < Rishi < Monique
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It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre
Answer:
I think 9 if im not correct i sincerely apologize
Which of the following choices represents the number six and twelve-hundredths in decimal numbers?
Answer:
6.12
Step-by-step explanation:
Six is 6
Twelve-hundredths is .12
6 + .12 = 6.12
Find the volume of the rectangular prism. Please help will mark brainlist
A. 194 m3
B. 388 m3
C. 140 m3
D. 280 m3
Answer:
[tex] {280m}^{3} [/tex]
Answer:
D. 280 m³
Step-by-step explanation:
The formula for the volume of a cuboid is length × width × height
v = 20 m × 7 m × 2 m = 280 m³
salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month
Step-by-step explanation:
z-score of X = 6150
[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]
z-score of X = 6350
[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]
P(X<6150) + P(X>6350)
=P(z<-0.4) + P(z>-0.4)
=0.3446+0.3446
=0.6892
please I need the answer right now.
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
Does this look correct again?
Answer:
Correct
Step-by-step explanation:
This is correct because if you divide fourteen by one fourth the answer would be fifty-six teddy bears.
on his social studies test,cody answered 87 out of 95 questions correctly what portion of his answers was correct?write your answer as a decimal rounded to the nearest thousandth
Answer:
92%
Step-by-step explanation: