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:
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.
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:
Juan and Adam both need pens and
batteries. The equation that represents
Juan's purchases is y - 27 - 3x. The
equation that represents Adam's purchases
is y = 17 – x. If y represents the price of the
batteries, and x represents the price of the
pens, what are the prices of the pens and
batteries?
a) pens: $10 batteries: $7
b) pens: $5 batteries: $12
o pens: $7 batteries: $20
d) pens: $12 batteries: $20
e) pens: $5 batteries: $10
go to station 4
go to station 3
go to station 7
go to station 9
go to station 2
Answer:
a
Step-by-step explanation:
Help.please i will mark brainliest !!
Answer:
SAS
Step-by-step explanation:
SAS is the correct answer
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
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!
Please solve this system : x+y+z=-3 3y-z+\=4 2x-y-2z=-5
Section 3 - Question 24
Maria's internet service costs 14.95 a month for the first 100 hours of usage and 0.50 for each additional hour. This could be written as y = 14.95 +0.50 (1 - 100).
In the equation, what does the represent?
A
the total cost of internet service
B
the cost per month for internet service
С
the number of hours of internet service
D
the number
months of internet service
EVO Illuminate Education Inc
O
hp
Answer: D. The Number of months of internet service
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
Item 16
Determine whether there is a proportional relationship between your cousin's age, in years, and your age, in years.
yes
no
Answer:
yes, i think, hope i helped ^_^ there has to b a proportional relationship between them
Step-by-step explanation:
Answer:
i think its yes not to sure sorry
Step-by-step explanation:
what’s the unit rate for 10 1/3 miles per 1/6 hour
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
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).
What’s the ratio of 240
Answer:
2=240 by the 5th power
Step-by-step explanation:
5) A cook wants to make 8 pies. She starts with 18 eggs and has 10 left over. What
equation can be used to find the number of eggs the baker uses in each pie?
Can someone Help me please
Answer:
I think it would be (18-10)/8=1
Step-by-step explanation:
Since she has 10 left over you first have to subtract 10 from 18 which would equal 8. Then you take that 8 and divide it by 8 because there are 8 pies. Then you would get the final answer of 1 egg
Currently, Trevon is three times as old as Janice. In four years, the sum of their ages will be 48. If Janice's
current age is represented by n, which of the following equations could be used to correctly solve for n?
Answer:
n+3n+4=48
Step-by-step explanation:
I flew at about 135 mph for about 15 hours how far did I fly?
Answer:
About 2,025 miles
Step-by-step explanation: If you go about 135 miles in one hour, you would multiply that by 15 to get how far in 15 hours. 135 x 15 = 2025
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
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
angle 2 and angle 6 are blank angles
Answer:
A correspoding
Step-by-step explanation:
Answer:
its a corresponding anglesStep-by-step explanation:
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
The circle graph shows how the money will be spent for the party.
Food: 30%
Drinks: 20%
Prizes and favors: 35%
Paper productions: 15%
The class has $300 for a party.
How much will be spent on party favors and prizes?
A: $35.00
B: $105.00
C: $195.00
D: $265.00
Answer:
B. $105.00
Hope this helps!
I need help dudes... DO THIS ASAP AND I'LL MARK YOU THE BRAINlYLIEST!!!! PLUS this question it due in 20 mins sooo
Alex went to the store and purchased red and blue jelly beans. The ratio of red to blue jelly beans is 3 to 7. If 140 jelly beans were in the bag, how many red jelly beans were in the bag?
URGENT!!!
Answer:
ahhh telll meeeee i have the SAME questio
Step-by-step explanation:
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
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:
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:
Can someone help me with this question for geometry.
Thanks will mark brainliest
Answer:
none of the above ,,,,,,,
Mrs. Perez has 28 students and 5
7
of those students participate in school sports. How many of Mrs. Perez’s students participate in school sports?
Answer:39 1/5
Step-by-step explanation:
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.