At a party 3/4 cup of dip is left. You divide the 3/4 by 4/5 and divide that between 2 friends

Answers

Answer 1

3/4

Step-by-step explanation:

when you get a chance can you slide me know if you need anything else from me and I will be there in about to be a little late to the dispo for me to get the puffs rn rn and I will be there in about an hour or so if you want to come over and get it or not really tbh I just want to make shure they are good for you guys had a good day and you have any questions for the right price yey I think and I'll be home and I'll be there around da time then I can i just want


Related Questions

The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5

Answers

Answer:

The graph of g is translated down 5 units from the graph of f and stretched horizontally

Step-by-step explanation:

was correct on test :)

pls brainliest XD

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Help ASAP what is the rate of change

Help ASAP what is the rate of change

Answers

Answer:

Rate of Change = 7

Step-by-step explanation:

The rate of change given is simply asking you to find the slope of the given values.

Interpreting your x=0 you have the value of 32 as you Y-intercept.

Now that you see when x=1 you have the value of 39.

When subtracted from one another you get:

39 - 32 = 7

This would mean the value of X is 7 -> This is the rate of change!

If you want more proof that it is 7, here it is!

Plug in x=7 for 3x you get 14 + 39 = 53

Plug in x=7 for 6x you get 21 + 53 = 74

The following data show the scores of some students in a competition:


12 points

21 points

29 points

17 points

24 points

23 points

28 points



Which box plot represents the data?
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 21 to 28 on the number line. A line in the box is at 23 The whiskers end at 17 and 29.
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 24 on the number line. A line in the box is at 23 The whiskers end at 12 and 28.
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 28 on the number line. A line in the box is at 21 The whiskers end at 12 and 29.
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 28 on the number line. A line in the box is at 23 The whiskers end at 12 and 29.

Answers

The plot represent the data A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.

The box extends from 17 to 24 on the number line.

A line in the box is at 23 The whiskers end at 12 and 28.

What is box- plot?

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Given:

12 points

21 points

29 points

17 points

24 points

23 points

28 points

According to the given data,

A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.

The box extends from 17 to 24 on the number line.

A line in the box is at 23 The whiskers end at 12 and 28.

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A Chinese restaurant in Mandeville, Louisiana, has a large goldfish pond around the restaurant. Assume that an inlet pipe and a hose together can fill the pond in 8 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. Discover the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone. Round each to the nearest tenth of an hour.

Answers

The inlet pipe and the hose combined can fill the pond in 8 hours. The inlet pipe alone takes one hour less than the hose alone to complete the job.

Let's assume that the time taken by the hose to fill the pond alone is 'x' hours. This means that the inlet pipe can complete the job in (x - 1) hours.

To find the individual rates of the hose and the inlet pipe, we can use the concept of work done. The work done is equal to the rate multiplied by the time taken.

When the inlet pipe and the hose work together, they can fill the pond in 8 hours, so their combined rate is 1/8 of the pond per hour.

Using the concept of work done, we can set up the following equation:

1/8 + 1/x = 1/h,

where 'h' represents the time taken by the inlet pipe to fill the pond alone.

Now, we can solve this equation to find the values of 'x' and 'h'. By rounding each to the nearest tenth of an hour, we can determine the time it takes for the hose and the inlet pipe to individually fill the pond.

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Select the solutions to the inequality below.

Select the solutions to the inequality below.

Answers

Answer:

A: 10

B: 12

c: 18

G: 10.2

Step-by-step explanation:

10 + 10 = 20 \(\geq\) 20 True

10 + 12 = 22 \(\geq\) 20 True

10 + 18 = 28 \(\geq\) 20 True

10 + 10.2 = 20.2 \(\geq\) 20 True

The others are all false if i missed one fell free to tell me

The position of a particle moving along the x-axis varies with time according to x(t)=7.4t
2
−4.8t
3
m.
v(t)=14.8t−14.4t
2

a(t)=

(b) Find the velocity (in m/s ) and acceleration (in m/s
2
) at t=2.0 s. (Indicate the direction with the sign of your answer.)
v(2.0 s)=m/s
a(2.0 s)=

(c) Find the time t>0 (in s) at which the position is a maximum. I s (d) Find the time t>0 (in s) at which the velocity is zero. \& s (e) For time t>0, find the maximum position (in m ). (Indicate the direction with the sign of your answer.

Answers

Given,x(t) = 7.4t² − 4.8t³m

We need to find the following.(b) Velocity (in m/s) and acceleration (in m/s²) at t = 2 s and indicate the direction with the sign of your answer.

(c) Find the time t > 0 (in s) when the position is at a maximum.

(d) Find the time t > 0 (in s) when the velocity is zero.

(e) Find the maximum position (in m) for time t > 0 and indicate the direction with the sign of your answer.

To calculate velocity, we need to differentiate position with respect to time.

That is,

v(t) = x′(t)

= 14.8t - 14.4t²m/s

We can calculate acceleration by differentiating velocity with respect to time.

That is,

a(t) = v′(t) = 14.8 - 28.8t m/s²

Now, we can substitute t = 2 s to find velocity and acceleration.

v(2.0 s) = 14.8(2.0) - 14.4(2.0)² = 4.4 m/s (The direction is positive because velocity is positive at t = 2 s) a(2.0 s) = 14.8 - 28.8(2.0) = -42.8 m/s²

(The direction is negative because acceleration is negative at t = 2 s)

Now, we can find the time when the position is at a maximum.

To find the maximum, we need to differentiate position with respect to time and equate it to zero.

dx/dt = 14.8t - 14.4t²

= 0.

Simplifying, we get 14.8t(1 - t) = 0.

Hence,t = 0, 1 s.To determine the time when velocity is zero, we set the expression for velocity to zero and solve for t.

v(t) = 0 = 14.8t - 14.4t² => 14.8t = 14.4t² => t(14.4t - 14.8) = 0.

Hence,t = 0, 1.028 s (rounded to three decimal places).

To find the maximum position, we substitute t = 1 s into the expression for position.

x(1.0 s) = 7.4(1.0)² − 4.8(1.0)³

= 2.6 m.

(The direction is positive because the particle is moving in the positive direction).

Therefore, the answers are,v(2.0 s) = 4.4 m/s (positive direction)a(2.0 s) = -42.8 m/s² (negative direction)t = 1 st = 0, 1.028 sx = 2.6 m (positive direction).

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please i need helppp

please i need helppp

Answers

Answer:

x=50°

Step-by-step explanation:

x+3°+x+20°+x+7°=180°

or,3x+30°=180°

or,3x=150°

or,x=50°

Answer:

50

Step-by-step explanation:

→ First add all the angles together as angles on a straight line add to 180°

x + 3 + x + 20 + x + 7 = 180

→ Simplify

3x + 30 = 180

→ Minus 30 from both sides

3x = 150

→ Divide both sides by 3

x = 50

Please answer all 4 questions:)

Please answer all 4 questions:)

Answers

Answer:

1. d=m/v

=57.6/112.9

=0.51018601

=0.510g/cm³(3s.f.)

2. m=d×v

=1.8×54

=97.2g

3. v=m/d

=63.8/12.7

=5.02362205

=5.02cm³(3s.f.)

4. v=length×breath×height

=12×2×6

=144m³

216g=0.216kg

d=m/v

=0.216/144

=0.0015kg/m³

Step-by-step explanation:

density=mass/volume

mass=density×volume

volume=mass/density

*make sure the units are correctly placed.

*g/cm³, kg/m³

The mass is 64204832(

Which one would it be? A dog eating 4 cups each day, or A man eating 3 pieces of pizza in 15 minutes, I'm really confused.

Which one would it be? A dog eating 4 cups each day, or A man eating 3 pieces of pizza in 15 minutes,

Answers

Answer:

A dog eating 4 cups each day

Step-by-step explanation:

Because the unit rate is like a unit number over 1.

Example: 3 miles per hour

So, I think the answer is A dog eating 4 cups each day

           

1. To construct a square, we need to know:
a) All the interior angles
b) All the side lengths
c) Only one interior angle
d) Only one side length

2. To construct a rectangle, we need to know:
a) All the interior angles
b) All the Sides
c) Only Length and breadth
d) Only one angle measure

3. What is the appropriate condition to construct a quadrilateral?
a) When four sides and one diagonal are given
b) When three sides and one diagonal are given
c) When two sides and one diagonal are given
d) None of the above

4. If two diagonals and three sides are given, then:
a) A quadrilateral cannot be constructed
b) A quadrilateral can be constructed
c) Insufficient information
d) Any polygon can be constructed​

Answers

1. To construct a square, we need to know:

Answer : D

2. To construct a rectangle, we need to know:

Answer : C

3. What is the appropriate condition to construct a quadrilateral?

Answer : A

4. If two diagonals and three sides are given, then:

Answer : B

Hope this helps you!

HELP HELP PLEASEEEEE CORRECTLYYYYT

HELP HELP PLEASEEEEE CORRECTLYYYYT

Answers

Answer:

84 degree

Step-by-step explanation:

the new supposed line is parallel to the given parallel lines..

HELP HELP PLEASEEEEE CORRECTLYYYYT

Find sin^2(pi/8) - cos^4(3pi/8)

Answers

Recall the following identities:

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

Then

sin²(π/8) = (1 - cos(π/4))/2 = (1 - 1/√2)/2

cos⁴(3π/8) = (cos²(3π/8))² = ((1 + cos(3π/4))/2)² = ((1 - 1/√2)/2)²

and so

sin²(π/8) - cos⁴(3π/8) = (1 - 1/√2)/2 - ((1 - 1/√2)/2)²

… = (1 - 1/√2)/2 • (1 - (1 - 1/√2)/2)

… = (2 - √2)/4 • (1 - (2 - √2)/4)

… = (2 - √2)/16 • (4 - 2 + √2)

… = (2 - √2)(2 + √2)/16

… = (4 - 2)/16

… = 1/8

Wright (3+4i)+(8+2i) as a complex number in standard form

Answers

Answer:

11 +6i

Step-by-step explanation:

(3+4i)+(8+2i)

Add the real portions

3+8 = 11

Add the imaginary portions

4i+2i = 6i

The complex number in a+bi form is

11 +6i

Answer:

\( = 11 + 6i\)

Step-by-step explanation:

\((3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i\)

hope this helps

brainliest appreciated

good luck! have a nice day!

1. Four plus a number

2. Twice Daria's age

3. Six times a number plus forty-one

4. The sum of a number and 17

5. The difference between Mary's height and Frank's height

6. The quotient of Iquan's age and 4

7. The product of Arielle's age and 50

8. Seventy-five increased by a number

9. Four hundred decreased by twice a number

Eleven ples more than a number

10.

11. Twice as many dogs

41X

12.

A number doubled plus ten

13. A variable tripled less 40

14. Twice the temperature minus 60 degrees

15. A number divided by fifteen less than 3

16. Five more than a number

17. Thirty-three less than a number

8. Twice Solomon's weight less fifteen pounds

3. The difference between sixty and twice a number

D. The factor of a variable and the coefficient four

Answers

From the given information provided, the given sentences in the form of algebraic expressions are as follows:

1. 4 + x

2. 2D

3. 6n + 41

4. x + 17

5. Mary's height - Frank's height

6. Iquan's age / 4

7. 50Arielle's age

8. 75 + x

9. 400 - 2x

10. 11 + x

11. 2d

12. 2x + 10

13. 3v - 40

14. 2t - 60

15. x/15 - 3

16. 5 + x

17. x - 33

18. 2S - 15

19. 60 - 2x

20. 4D

Question - 1. Four plus a number 2. Twice Dharia's age 3. Six times a number plus forty-one 4. The sum of a number and 17 5. The difference between Mary's height and Frank's height 6. The quotient of Aquaman's age and 4 7. The product of Arielle's age and 50 8. Seventy-five increased by a number 9. Four hundred decreased by twice a number Eleven ples more than a number 10. 11. Twice as many dogs 41X 12. A number doubled plus ten 13. A variable tripled less 40. 14. Twice the temperature minus 60 degrees 15. A number divided by fifteen less than 3 16. Five more than a number 17. Thirty-three less than a number 18. Twice Solomon's weight less fifteen pounds 19. The difference between sixty and twice a number 20. The factor of a variable and the coefficient four. Translate the following into algebraic expression.

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What are the zeros of the function?
f(2)=x^2+12x-28

What are the zeros of the function?f(2=x^2+12x-28

Answers

Answer:

\( {x}^{2} + 12x - 28 = 0\)

\((x + 14)(x - 2) = 0\)

x = -14, 2

Step-by-step explanation:

x 2+12x−28=0

(�+14)(�−2)=0

(x+14)(x−2)=0

x = -14, 2

a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:

Answers

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Find the maximum walking speed of a coyote with legs 0.46 m long. How much faster can a giraffe walk than a coyote?

Answers

Answer:

7.03 ft/s

Step-by-step explanation:

To obtain speed using the model :

Speed = sqrt(gL)

L = Length of leg, g = acceleration due to gravity

Length of leg of a giraffe = 6.03

g = 9.8 m/s or 32 ft/s²

Speed of giraffe in ft/s = sqrt(32 * 6.03) = 13.89 ft/ s

Speed of coyote ; L = 0.46 m

L in feets = 0.46 * 3.23 = 1.4858 feets

s = sqrt(1.4858 * 32) = 6.895 ft/s = 6.86 ft/s

Difference in speed :

13.89 - 6.86 = 7.03 ft/s

Giraffe has 7.03ft/s more speed Than a coyote

Copy the problem, and write a Statement/Reason proof.

Copy the problem, and write a Statement/Reason proof.

Answers

The problem is given as follows:
Prove: ΔLUZ ≅ ΔIDA

The triangles above can be said to be congruent because:

\(\overline{ZL}\) ≅ \(\overline{AI}\) (Corresponding sides)

\(\overline{LU}\)≅ \(\overline{DI}\) (Corresponding sides)

\(\overline{UZ}\) ≅ \(\overline{AD}\) (Corresponding sides)

It is also given that:

m ∠ ULZ ≅ m ∠ ADI

since


\(\overline{ZL}\) ≅ \(\overline{AI}\) (Corresponding sides)

\(\overline{LU}\)≅ \(\overline{DI}\) (Corresponding sides) and

m ∠ ULZ ≅ m ∠ ADI ;

We can thus conclude that the ΔLUZ  ≅ ΔIDA

What is the meaning of congruent triangles?

When two triangles are congruent, one can be moved (through one or more stiff movements) to coincide with the other. All congruent sides and angles will be found.

The triangles are congruent if two sides and the included angle of one triangle are congruent to the corresponding sections of another triangle. [Side - Angle - Side]

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A house has 12 rooms (10 bedroom and 2 living rooms). We want to paint 4 yellow, 5 red and 3 purple. We do not want the living rooms to be the same color. In how many ways this can be done?

Answers

Total number of ways to paint rooms is 19,740.

We can solve this problem using the combinatorics. First, we choose the color for the living rooms, which can be done in 3*2 = 6 ways (yellow, red, or purple). Then, we choose the colors for the remaining 10 rooms.

Case 1 : living room is yellow and red

Then remaining colors are 3 yellow, 4 red, 3 purple

number of ways to paint living room = 2

number of ways to pain bedroom = 10!/(3! 4! 3!)

So number of ways = 2 * 10!/(3! 4! 3!) = 8400

Case 2 : living room is yellow and purple

Then remaining colors are 3 yellow, 5 red, 2 purple

So number of ways = 2 * 10!/(3! 5! 2!) = 5040

Case 3 : living room is red and purple

Then remaining colors are 4 yellow, 4 red, 2 purple

So number of ways = 2 * 10!/(4! 4! 2!) = 6300

Total number of ways = 8400 + 5040 + 6300 = 19,740

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Let C=D={-3, -2, -1, 1, 2, 3} and define a relation S from C to D as follows: For all

( x , y ) \in C \times D
(x,y)∈C×D

.

( x , y ) \in S
(x,y)∈S

means that

\frac { 1 } { x } - \frac { 1 } { y }
x
1


y
1



is an integer. a. Is 2 S 2? Is -1S-1? Is (3, 3)

\in S ?
∈S?

Is (3, -3)

\in S ?
∈S?

b. Write S as a set of ordered pairs. c. Write the domain and co-domain of S. d. Draw an arrow diagram for S.

Answers

Answer:

Step-by-step explanation:

I'm pretty

Since 0 is an integer, (2, 2) is in S.Since 0 is an integer, (-1, -1) is in S.Since 0 is an integer, (3, 3) is in S.2/3 is not an integer, so (3, -3) is not in S.The set of all second components (y-values) of the ordered pairs in S.Co-domain of S = {-3, -2, -1, 1, 2, 3}

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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is anybody can help me with this one?
\(5(1 + n) = 2n ^{2} - 2\)

Answers

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

is anybody can help me with this one?[tex]5(1 + n) = 2n ^{2} - 2[/tex]

A shipping crate is packed with unit cubes. The length of the crate is 4
units, the width is 2 units, and the height is 4 units. Find the volume
of the shipping crate.

Answers

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

WILL RATE IF YOU ANSWER PLEASE HELP Kayla measured a line to be 3.4 inches long. If the actual length of the line is 4.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

77.8% is the answer hope it helps. its actually 77.777777778 but its to nearest tenth so round up

The percent error of the measurement, to the nearest tenth of a percent

is 24.4%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Kayla measured a line to be 3.4 inches long but the actual length of the line is 4.5 inches.

The error of length is = (4.5 - 3.4) = 1.1 inches.

Therefore, The percentage error would be,

= (1.1/4.5)×100%.

= 24.4%.

Some more concept related to percentage is percentage change,

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100%.

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4p-10<6p-8 or 10p+16<9p-3

Answers

Answer:

p>-1    or    p<-19

Step-by-step explanation:

4p-10<6p-8 (add 10 to each side)

4p< 6p+2 (subtract 6p from each side)

-2p<2  (divide by -2 and switch the sign)

p>-1

10p+16<9p-3 (subtract 16 from each side)

10p<9p+-19 (subtract 9p from each side)

p<-19

1/4(12)^2=
what is the answer?

Answers

Answer:

36

Step-by-step explanation:

I hope this helps! have a good day / night:)

Answer:

36

Step-by-step explanation:

1/4*12²

= 1/4*12*12

= 36

During the next two months Johnson-Perry Company must meet the demands provided in Table 1 for their Yummy brand and Wholesome brand sandwich patties. These demands must be met on time. Max Monthly Total Production 12,000,000 During each month, at most 12 million patties total can be produced. Both Yummy and Wholesome patties can be held in inventory at a cost of $0.05 each per month in a cold storage facility. Storage Cost per Unit S 0.05 TABLE 2 Cost per pound of raw materials Dark Meat Month 1 Cost per Ib Month 2 Cost per lb $0.10 $0.14 $0.15 $0.18 $0.02 $0.03 Table 2 shows the cost per pound of raw material used to produce sandwich patties. Table 3 shows the pounds of raw material required to produce a single patty of each type. Meat and grain gruel can be used only in the month it was purchased. Light Meat Grain Gruel TABLE 3 Raw material required per patty (lbs) Dark Meat Yummy Wholesome Light Meat 1.00 0.00 Grain Gruel 0.00 0.50 0.50 1.00 As shown in Table 4, each Yummy patty produced contains 20 grams of fat and each Wholesome patty contains 8 grams of fat. Each month, the combination of all patties produced by the company must average no more than 13 grams of fat for regulatory reasons. TABLE4 Develop a linear model and properly optimize it with Solver to minimize the total cost of producing and storing Yummy and Wholesome sandwich patties. Non-integer solutions are fine - Do not use any integer constraints. Fat (9) per Patty Yummy Wholesome 20 8 Max Avg Fat (9) of Patties Produced per Month 13

Answers

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

What is linear programming?

Linear programming is a mathematical method used to optimize (maximize or minimize) a linear objective function subject to a set of linear constraints. It is widely used in various fields, including economics, operations research, engineering, and finance, to solve optimization problems.

In linear programming, the objective is to find the best possible solution that satisfies a given set of constraints while optimizing a specific objective. The objective function represents the quantity to be maximized or minimized, such as profit, cost, time, or resource utilization. The constraints define the limitations or restrictions on the decision variables.

Decision Variables:

Let X be the number of Yummy patties produced per month.

Let Y be the number of Wholesome patties produced per month.

Objective Function:

Minimize the total cost of producing and storing Yummy and Wholesome sandwich patties.

Total Cost = (Production Cost per patty * Number of Yummy patties) + (Production Cost per patty * Number of Wholesome patties) + (Storage Cost per patty * Number of Yummy patties) + (Storage Cost per patty * Number of Wholesome patties)

Constraints:

Production capacity constraint: X + Y <= 12,000,000 (the total number of patties produced per month should not exceed 12 million).

Demand constraints: X >= demand for Yummy patties per month

Y >= demand for Wholesome patties per month

Fat content constraint: (20X + 8Y) / (X + Y) <= 13 (average fat content should not exceed 13 grams per patty)

To solve this linear programming problem and optimize the total cost, you can use Solver in software like Microsoft Excel. Here are the steps to set up and solve the problem using Solver:

Set up the spreadsheet:

Create a table with columns for variables (X and Y), objective functions, and constraints.

Enter the appropriate formulas for the objective function and constraints based on the given information.

Define the objective cell as the total cost and set it to minimize.

Set up the Solver:

Open Solver in Excel (usually found under the Data or Analysis tab).

Set the objective cell as the target to minimize.

Define the decision variables and their limits (X and Y >= 0).

Add the constraints based on the given conditions.

Set the Solver options as needed (non-integer solutions are allowed).

Run the Solver:

Click the Solve button to find the optimal solution.

Solver will adjust the values of X and Y to minimize the total cost while satisfying the constraints.

Review the results:

Once Solver completes, review the solution provided.

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

By following these steps and using Solver, you can find the optimal solution for minimizing the total cost of producing and storing Yummy and Wholesome sandwich patties while satisfying the given constraints.

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3(x +2)-9x+5
What is the answer

Answers

= -6x + 11 should be the correct answer

Determine if each statement below is true or false. If the statement is true, simply write the word True for your answer; no other justification is needed. If the statement is false, you should write the word False and also give a counter- example to the statement to justify your answer. For example, if the statement is "For all sets A and B, A CAN B", a cor- rect answer would be: False. If A {1, 2} and B = {2,3},then An B = 2, and A & ANB Assume in all cases that that the domain of the given sets is N. In other words, A, B and C are subsets of the natural numbers. (4 pts each) (a) For all sets A and B, B C (AUB). (b) For all sets A and B, (AUB) C A. (c) For all sets A and B, (AUB) - B = A. (d) For all sets A and B, A - (B - A) = A. (e) For all sets A, B and C, if A + B and B + C then A #C.

Answers

All of the statements are false except statement d. Counter-examples are given for each false statement each and explained below.

How to Write a Counter-example?

a) The statement is incorrect because there may exist elements in set B that are not included in the union of sets A and B.

Counter-example: if we take A as {1} and B as {2}, we can see that B is not part of the union of A and B, denoted as A ∪ B.

(b) The statement is incorrect because the union of sets A and B can include elements that are not in set A.

Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) = {1, 2}, and {1, 2} is not a subset of A since it contains an element (2) that is not in A.

(c) The statement is false because removing set B from the union of sets A and B may result in elements that are not present in set A.

Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) - B = {1} - {2} = {1}, which is not equal to A.

(d) The statement is true because removing the set A from the set B minus A will result in set A itself.

(e) The statement is false because there can be cases where sets A, B, and C have overlapping elements, indicating that A is not disjoint from C.

Counterexample: Let A = {1}, B = {2}, and C = {1, 2}. Then A + B = {1, 2} and B + C = {1, 2}, but A ∩ C = {1} is not an empty set, so A and C are not disjoint.

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Solve the system of equation using substitution. Show all of your work.

y = 2x

y = -x + 9

Answers

Answer:

x = 3

y = 6

Step-by-step explanation:

2x = x + 9

x = 3

y = 2 * 3

y = 6 .    Hope this help teehee :D

What is the solution to the system of equations?

(−2, 2)
(2, 2)
(2, −2)
(−2, −2)

What is the solution to the system of equations? (2, 2) (2, 2) (2, 2) (2, 2)

Answers

Answer:

(−2, 2)

Step-by-step explanation:

The point from the x axis is -2 and the point from the y axis is 2. Hence, it will be written as (−2, 2).

Answer:

(-2, 2)

Step-by-step explanation:

The point on the x axis is -2, while the point on the y axis is 2. As a result, it will be written as (2, 2).

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