You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohydrates, at least 20 g of protein, and no more than 50 g of fat. An egg (one serving) contains 2 g of carbohydrates, 17 g of protein, and 14 g of fat. A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at minimal cost. (You don’t need to find the optimal solution to the model you formulate) ======== In your response please - define decision variables with NUN (Name, Unit, Notation) (e.g. Let E be the number of eggs in the meal) Then provide the mathematical model for the LP problem. - objective function - constraints
Answer:
2x + 12y + 43 ≥ 40
17x + 12y + 8z ≥ 20
14x + 6y + z ≤ 50
x ≥ 0
y ≥ 0
z ≥ 0
Step-by-step explanation:
given:
Cost Eggs = $2
Cost of edema = $5
cost of elbow Macaroni = $3
Lets eggs = x,
edamame = y
elbow macaroni = z
TC = 2x+5y+3z
Therefore;
2x + 12y + 43 ≥ 40
17x + 12y + 8z ≥ 20
14x + 6y + z ≤ 50
x ≥ 0
y ≥ 0
z ≥ 0
the first objective is to make sure the total cost is subject to the required nutritional requirements.
So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.
The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).
to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.
Same should be done for protein, we require at least 20 grams of protein, Eggs add 17g, edamame adds 12g, and macaroni adds 8g.
and lastly we don't want more than 50 grams of fat, Eggs add 14g, edamame add 6g and macaroni 1g.
what’s the unit rate for 10 1/3 miles per 1/6 hour
8 of 10
1
3
Work out the sum of 5 and
10
Give your answer in its simplest form.
Answer:
uuuuhhhhhh
Step-by-step explanation: srry too hard
Lil baby - It’s too many mothers that grieving they killing us for no reason been going on for too long to get even
Answer:
[tex]its \: 11.75[/tex]
can someone help me solve please.. thanks..
Answer:
see below
Step-by-step explanation:
f(0) means x=0
We use the f(x) when x<5
f(0) = 0+4 = 4
f(6) means x=6
We use the f(x) when 5≤x<7
f(6) =8
Can someone help me with this question for geometry.
Thanks will mark brainliest
Answer:
none of the above ,,,,,,,
A researcher predicts that listening to music while solving math problems willmake a particular brain area more active. To test this, a research participant hasher brain scanned while listening to music and solving math problems, and thebrain area of interest has a percentage signal change of 58. From many previousstudies with this same math problems procedure (but not listening to music), it isknown that the signal change in this brain area is normally distributed with amean of 35 and a standard deviation of 10.
(a) Using the .01 level, what shouldthe researcher conclude? Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing the comparisondistribution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statistics(but who is familiar with mean, standard deviation, and Z scores).
Answer:
one equal to 5
Step-by-step explanation:
5x x 66
show me the venn diagram
Step-by-step explanation:
A Venn diagram, also called primary diagram, set diagram or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S. This lends itself to intuitive visualizations; for example, the set of all elements that are members of both sets S and T, denoted S ∩ T and read "the intersection of S and T", is represented visually by the area of overlap of the regions S and T.[1][2] In Venn diagrams, the curves are overlapped in every possible way, showing all possible relations between the sets. They are thus a special case of Euler diagrams, which do not necessarily show all relations. Venn diagrams were conceived around 1880 by John Venn. They are used to teach elementary set theory, as well as illustrate simple set relationships in probability, logic, statistics, linguistics, and computer science.
Venn diagram showing the uppercase glyphs shared by the Greek, Latin, and Cyrillic alphabets
A Venn diagram in which the area of each shape is proportional to the number of elements it contains is called an area-proportional (or scaled Venn diagram).
20 points!!!
Part A: Solve −mk − 120 > 95 for m. Show your work. (4 points)
Part B: Solve 2c − 9f = 45 for f. Show your work. (6 points)
(20 points)
Answer:
m= -215/k
f=-5+2c/9
Step-by-step explanation:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of what?
a) vertical multiplication
b) FOIL
c)The Distributive Property
d) multiplying two binomials
Answer: The distributive property.
Step-by-step explanation:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
What is the Distributive Property?It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.
(a + b)c = ac + bc
The given equation is an example of:
It is given that:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).
We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.
This is a feature of the distributive property. It is called the distributive property of multiplication.
Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
Learn more about the Distributive Property here: https://brainly.com/question/1780105
#SPJ2
the ordered pair (x,y)=(2,-3) is a solution to which of the following systems of equation
Answer:
Y=2x-7
Step-by-step explanation:
In a genetics class, 6 students have GREEN eyes, 3 students have BLUE eyes, and 11 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are GREEN or HAZEL?
17/20 is the probability that their eyes are green or Hafzel.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The number of students having Green eyes =6
The number of students having Blue eyes =3
The number of students having Hafzel eyes =11
The total number of students=11+3+6
=20
The probability that their eyes are green is 6/20
The probability that their eyes are Hafzel is 11/20
The probability that their eyes are green or Hafzel
6/20 + 11/20
= 17/20
Hence, 17/20 is the probability that their eyes are green or Hafzel.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
Evaluate and reduce:
7
3
--
8
16
Enter the number that belongs in the
green box.
[?]
Enter
Answer:
Step-by-step explanation:
7/8 + 3/16
14/16 + 3/16
17/16
It will be nice if you give me brainliest.Good luck!
write a decimal number
ral for 3/5
Answer:
0.6 or 0.60
Step-by-step explanation:
3/5 mulitply denominator to see how much it goes to 100 which is 20 so 5x20 which is 100 and u go to other number u get 60 so 60/100 or you can just divide 3 by 5 which is also 0.6
What is the second step in identifying grouped mean?
Answer:
B
Step-by-step explanation:
Divide the sum obtained in preceding step by total number of frequencies.
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
A.
-40.85°C
B.
-24.35°C
C.
24.35°C
D.
42.25°
Reset Next
Answer:
I think that the answer is 24.35 degrees C
Step-by-step explanation:
It says it changed -8.25 so you need to subtract 8.25 from 32.6 to get your answer.
A ring-shaped region shown below. Its inner diameter is20 yd. The Width of the ring is 3 yd. Find the area. Of the shaded region.
9514 1404 393
Answer:
216.66 yd²
Step-by-step explanation:
One way to find the area of a ring like this is to multiply its centerline length by the width of the ring.
Here, the diameter of the circle that is the centerline of the ring is 23 yd. The circumference of that circle is ...
C = πd = 3.14(23 yd) = 72.22 yd
Then the ring area is ...
(72.22 yd)(3 yd) = 216.66 yd² . . . area of shaded region
(Simplify the equation) 3n+5+2n=5+n+6n-n
Answer:
n=0
Step-by-step explanation:
3n+5+2n=5+n+6n-n
move like terms together
3n+2n+5=5+n+6n-n
simplify down
5n+5=5+6n
subtract 5n from each side
5=5+n
subtract 5 from each side
0=n
Brent count to 10 red cards 10 Blackhearts and 20 blue cards in a deck of cards what is the radio of red cards to other cardsj
Answer:
1/4
Step-by-step explanation:
10+10+20=40
10 of those are red cards which makes it 10/40 which is simplified to 1/4.
Answer:
10:30 (simplified- 1:3)
Step-by-step explanation:
there are 10 red cards so the first number would be 10
the other cards are black hearts and blue cards, if you add them together that is 30 cards, therefore, the answer is 10:30
I need help with this question ! if someone could also explain what the answer is, that would be awesome.
Answer:
y=3/2x+3
Step-by-step explanation:
The slope is 3/2. The slope is m. We plug 3/2 into our equation.
y=mx+b
y=(3/2)x+b
Now we have to find b.
B is 3 because that's where it crosses the y axis.
So y=3/2x+3
what is the sum of -8+6
Answer:
-2
Step-by-step explanation:
-8 + 6 = 6 - 8 = -2
it means you are owing 8 coins and you pay 6 coins . you will then be owing 2 coins. which will be written as -2
find each sum.
1)-9+(-2)
2)3.2+1.4
3)5.1+(0.7)
4)-2.2+(-3.8)
Answer:
1. -11
2. 4.6
3. 5.8
4. -6
Step-by-step explanation:
Please solve this system : x+y+z=-3 3y-z+\=4 2x-y-2z=-5
HELP!!!
Find the equation of a line parallel to 2x + 2y=6 that contains the point (3,-5), Write the equation in slope-intercept
Answer:
[tex]y = -x -2[/tex]
Step-by-step explanation:
Slope-Intercept form of the line
Any given line with slope m and y-intercept b can be written as:
y=mx+b
We need to find the equation of a line parallel to
2x + 2y = 6
Dividing by 2:
x + y = 3
Solving for y:
y = -x + 3
Comparing with the slope-intercept form of the line:
m = -1
Parallel lines have the same slope, thus the required line must have a slope m = -1.
Since we have a point through which the line passes, we use the point-slope form:
y - k = m ( x - h )
Where (h,k) is the point.
The required equation of the line is:
y - (-5) = -1 (x - 3)
Operating:
y + 5 = -x + 3
Solving for y:
[tex]\boxed{y = -x -2}[/tex]
Rick has 3 bills and 4 coins in his wallet.the coins and bills total $12.35.Rick has no half-dollars.what coins and bills does Tick have?
I messed up sorry I gave you the wrong answer just ignore this
Kyle is a secretary. She earns $12.38 per hour. She worked 42 hours last week. What is her straight time pay?
Answer:
$519.96
Step-by-step explanation:
$12.38 × 42= $519.96
Use the Slope Formula to find the slope of the line with points (1,-4) and (-3,3)
Answer:
-7/4
Step-by-step explanation:
Since we have two points we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3 - -4)/( -3 -1)
( 3+4) / ( -3 -1)
7/-4
-7/4
Consider the price of a baseball card is $7, and its value increases by 12% each year. What is the value of a?
Answer:7.84
Step-by-step explanation:
Blank x 0.9 = 0.18 i need help asap
Answer:
the answer is 0.2 i think..
Step-by-step explanation:
Answer:
blank = 0.2
Step-by-step explanation:
0.2*0.9=0.18
please answer for brainlesit
Answer:
(-3, -2) that is the answer please give me brainiest
Step-by-step explanation: