Answer:
y=-5/3x+10
-5/3
(0,10)
Step-by-step explanation:
5x+3y=30
-5x. -5x
3y=-5x+30
÷3. ÷3
y=-5/3x+10
the number by the x is the slope and the constant
is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)
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?
I need help with this math problem
Answer:
F(x)=(x+6)^2
Step-by-step explanation:
Hope this helps!
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
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
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
S= 2LW + 2LH + 2WH
solve for W
Rewrite the equation as
2lw+2lh+2wh=a.2lw+2lh+2wh=a
Subtract
2lh
from both sides of the equation.
2lw+2wh=a−2lh
Factor
2w out of 2lw+2wh.
2w(|+h)=w−2lh
Divide each term by
2(l+h)
and simplify.
.w=a−2lh2(l+h)
the difference of two number is 6 if the greater one is 17 find the smallest number
Answer:
11
Step-by-step explanation:
17-6=11
big brain
Answer:
11
Step-by-step explanation:
17-11=6 the smallest number is 11
Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 2
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
ecuacion primer grado para hoy 7x+2=8x+5
Answer:
[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]
(ecuacion primer grado para hoy. ). what does this mean..
Answer:
7x+2=8x+5Recopilar términos semejantes
7x - 8x = 5 - 2-1x = 3x = 3/-1x = - 3Can someone please hurry and finish this question please!!!! Will give brainliest
Answer:
2b. R line is lower.
2c. It is lower because the y-intercept is negative.
Answer: ill take one for you john
Step-by-step explanation:
what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4
NO LINKS PLEASE! First to answer correct gets Branliest!!!
Answer:
4736
Step-by-step explanation:
1) 100 divided by 5 is 20
2) 20 times 3 is 60
3) 60 times 79 is 4740
4) 4740 subtract from 4 is 4736
5) Answer is 4736
Answer:
4736
Step-by-step explanation:
5*20 = 100
20*3 = 60
60*79 = 4740
4740 - 4 = 4736
Who do you agree with? Explain why.
David states -15 divided by a negative integer will produce a positive quotient less than or equal to 15.
Lesly states -15 divided by a negative integer will produce a positive quotient greater than or equal to 15.
Simplify the linear expression. −2x+3(−5x+1) Enter your answer in the box.
you will get brainiest
Answer:
3/17
Step-by-step explanation:
-2x + 3(-5x + 1)
-2x -15x +3
-17x + 3
17x = 3
x = 3/17
PLEASE HELP
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
B. Anna's route is about the same length as Alex's route, but he will get home first because he is driving.
C. Alex's route is about the same length as Anna's route, but his stop for pizza allows Anna to get home about 30 minutes
before him
D. Alex's route is about 4 miles longer than Anna's route, but his stop for pizza allows Anna to get home just minutes before him
Answer:
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
Step-by-step explanation:
Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths
Please do number 4!!!!!
Answer:
just put the 25 into the equation, and you get the M, as the money she earn
2.5(25) + 12 = 74.5 that is the amount she earns
Answer: 74.5
Step-by-step explanation:
M = money = ?
f = faces she paint = 25 faces
M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5
elect the correct answer from each drop-down menu.
Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a
.
Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a
.
Answer:
1. Triangle XYZ undergoes a translation.
2. Triangle X'Y'Z' undergoes a reflection across the x-axis
HELppppppppppppppppp
9514 1404 393
Answer:
40 -8p -3w$4Step-by-step explanation:
Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.
40 -8p -3w . . . . represents the money remaining
For p=3 and w=4, this evaluates to ...
40 -8(3) -3(4) = 40 -24 -12 = 4
Ms. Liu will have $4 left after her purchase.
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
Lira has flowers. 2/9 of them are roses, and 3/7 of the remainder are sunflowers and the rest are tulips. If she has 36 tulips, how many sunflowers and roses does she have all together?
The total sunflowers and roses Lira has is 18 and 27 respectively
Let
Total flowers = x
Roses = 2/9 of x
= 2/9x
Remaining = x - 2/9x
= (9x-2x) / 9
= 7/9x
Sunflowers = 3/7 of 7/9x
= (3 × 7)/(7 ×9)x
= 21/63x
Tulips = 36
Total = roses + sunflowers + tulips
x = 2/9x + 21/63x + 36
x - 2/9x - 21/63x = 36
(63x -14x-21x) / 63 = 36
28/63x = 36
cross product
28x = 36 × 63
28x = 2268
x = 2268/28
x = 81
Therefore,
Total flowers = x
= 81 flowers
Roses = 2/9x
= 2/9 × 81
= 18 flowers
Sunflowers = 21/63x
= 21 / 63 × 81
= 27 flowers
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Please help! Will give brainliest if the answer is correct!
Answer:
74 + 43[tex]\sqrt{3}[/tex]
Step-by-step explanation:
For this problem, let's say side x is 2 + [tex]5\sqrt{3}[/tex] and side y is 7 + [tex]4\sqrt{3}[/tex].
To find the area of a rectangle, you need to multiply both height and width, and in this case, x and y.
(x)(y) = 14 + 8[tex]\sqrt{3}[/tex] + 35[tex]\sqrt{3}[/tex] + 60
= 74 + 43[tex]\sqrt{3}[/tex]
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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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.
x / 2.5 = 10
plz helppp
Answer:
x=25
Step-by-step explanation:
please can someone answer all these
Answer:
what is it what math
Step-by-step explanation:
um what kind of math is this high school primary school
Click on the graph to draw a trapezoid with right angles at (0, -7) and (8,−7), another vertex at (8,0), and a vertical base of 16 units
Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).
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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1728829+5363792002×82873992892/12=?
Answer:
Simplify the expression.
Exact Form:
111129715061983798933/3
Decimal Form:
3.70432383⋅10^19
Step-by-step explanation:
Answer:
exact form is 111129715061983798933/3
decimal form 3.70432383*10^19
Step-by-step explanation:
how long does it take for 100 hens to lay 100 eggs if 5 hens are known to lay 5 eggs in 5 minutes?
Answer:
100 mins/ 1 hour 40 mins
Step-by-step explanation:
if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute
so multiply 1 by 100
and 100 time 1 equals 100
What percent of the students in
applied majors are majoring in
electronics, industrial design, or civil engineering?
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50. What is the cost for a pound of parmesan? What is the cost for a pound of ricotta? NEED ANSWER QUICKLY.
Answer:
$16
Step-by-step explanation:
let x = cost of ricotta cheese
let x + 5 = cost of parmesan cheese
.5x + .25(x+5) = $9.5
solve this and we get x =11 (cost per pound for ricotta)now we plug that value back into x + 5 to find the cause of the cost of parmesan cheese
11 +5 = 16y = 16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50.
Let 'x' be the cost of ricotta cheese. Then the cost of parmesan cheese will be (x + 5). Then the equation is given as,
0.5x + 0.25 · (x + 5) = $9.5
Simplify the equation, then we have
0.5x + 0.25 · (x + 5) = $9.5
0.5x + 0.25x + 1.25 = $9.5
0.75x = 8.25
x = $11
Then the cost of parmesan cheese is given as,
x + 5 = $11 + 5
x + 5 = $16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
More about the solution of the equation link is given below.
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