Goldilocks needs to find at least 12 lbs gold and 18 lbs silver to pay monthly rent. Each day in Mine 1 she finds 2 lbs gold and 2 lbs silver. Each day in Mine 2, she finds 1 lb gold and 3 lbs silver. Set up and solve using either LPsolve or on-line solver How many total days in the mines

Answers

Answer 1

Answer:

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Step-by-step explanation:

Requirement : 12 Ibs gold and 18 Ibs silver  to pay monthly rent

Mine 1 ; 2 Ibs of gold , 2Ibs of silver.

Mine 2; 1 Ib of gold , 3 Ibs of silver

using LP

Gold :  aX1  + bX2 ≥  12   ---------- ( 1 )

Silver:  cX1  + dX2 ≥  18  --------- ( 2 )

where; X1 = days spent in Mine 1

            X2 = days spent in Mine 2

Total days spent in mines : X1 + X2 =

a = Gold found in mine 1  = 2

b = Gold found in mine 2 = 1

c = silver found in mine 1 = 2

d = silver found in mine 2  = 3

Back to equations 1 and 2

2X1 +  X2   ≥  12 ----------- ( 3 )

2X1 + 3X2  ≥  18  ------------ ( 4 )

solving equations 3 and 4

= 0 +  2X2 ≥ 6  ∴ X2 ≥ 3 days  ( days spent in mine 2 )

Input value into ( 3)

2X1 ≥ 12 - 3 = 9

X1 ≥ 4.5 days ( days spent in mine 1 )

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days


Related Questions

If 25 counters are a whole set how many are there in four fifths of the set​

Answers

Answer:

20

Step-by-step explanation:

25*4/5=5*4=20

Answer:

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Step-by-step explanation:

25 x 4/5=100/5=20

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Answer:

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Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

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Melissa has two coupons for shoes. Coupon A: Coupon B: 15% off of S41 shoes $10 rebate on S41 shoes Choose the coupon that gives the lower price. Then fill in the blank with the correct value.​

Answers

Answer:22

Step-by-step explanation:

The complete sentence is

The price with coupon B is $10 less than the price with coupon A.

It depends on the original price of the S41 shoes.

Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.

Let's assume the original price of the S41 shoes is P dollars.

Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.

Using Coupon B, the price after the $10 rebate =  (P - $10) dollars.

Now, compare (0.85 * P) with (P - $10).

simplify the expression (0.85 * P) < (P - $10) as

0.85P < P - $10

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-0.15P < - $10

P > (- $10) / (-0.15)  

P > $66.67

Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.

Learn more about Inequality here:

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29x-7y=-17 solve for x

Answers

Answer:

[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]

Step-by-step explanation:

[tex]29x-7y=-17[/tex]

[tex]x= -7y/29 + -17/29[/tex]  Divide every number by x except

maths question is here
9+92*12312

Answers

Answer:

it would be 101 i believe

Answer:

1,132,713

Step-by-step explanation:

9+ 92 * 12312

= 9 + 1,132,704

= 1,132,713

Help please!!!!!!!!!!!!!!!

Answers

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

write an equivalent expression: −12(−2x+4y)

Answers

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

Help me plsssssssss :(

Answers

Answer:

I would love to help you but what am I helping with there is no question there other that "Help me plssssss"

Step-by-step explanation:

Match the base to the corresponding height.
Base (b)
Height (h)
b
b
h
b

Answers

Answer: See the diagram below

=================================================

Explanation:

The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).

In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).

In column 2, refer to the figures as A, B, C

Figure 1 matches with figure B

Figure 2 matches with figure C

Figure 3 matches with figure A.

These matches are of course the base with the proper height.

QUICK!! GIVING BRAINLIEST TO CORRECT ANSWER QUICK!!

Answers

Answer:

Im fairly sure it is 45ft^3

Answer:

[tex]45ft^{2}[/tex]

Step-by-step explanation:

V=L*W*H


Kate's dog was learning to balance a ball on his nose. The
first day he balanced the ball 6 out of 20 times; the second
day, 8 out of 25 times. Which day did he do better?​

Answers

The dog will do better , just need to practice and believe on him .
Make sure to give the dog treats every day.

Answer:

The answer is the first day

Find the integration of (1-cos2x)/(1+cos2x)

Answers

Given:

The expression is:

[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]

To find:

The integration of the given expression.

Solution:

We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].

Let us consider,

[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]

[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex]         [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]

[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]

[tex]I=\int \tan^2xdx[/tex]                      [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]

It can be written as:

[tex]I=\int (\sec^2x-1)dx[/tex]             [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]

[tex]I=\int \sec^2xdx-\int 1dx[/tex]

[tex]I=\tan x-x+C[/tex]

Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].

What is the area, in square units, of the parallelogram shown below?

21 s u

56 s u

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81 s u​

Answers

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

any one got reddit
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Answers

I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17

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Answers

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

Juan drank 3 quarts of water. Alfred drank 8 quarts. How many cups of water did they drink altogether?(no links will get brainliest)

Answers

Answer: 44 Us Cups

Step-by-step explanation:

Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4

Answers

Answer:

A.5+4<9+1

B. 5+4<10+0

C. 5+4>5-4

D. 5+4=15-4

Step-by-step explanation:

A. 9<10

B. 9<10

C. 9>1

D9=9

Answer:

A=10>5+4

B=10>5+4

C=1<5+4

D=11>5+4

Step-by-step explanation:

GUYS HELP PLS

You have 100ml of a solution that has a strength of 10mg/50ml.

This is diluted with a further 100ml of water.

How strong is the solution now per 50ml?

Answers

2x strong. I’m not to sure. I’ve done this but I forgot I’m sorry :(

Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0

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Answer:earthy

Step-by-step explanation:vuinh

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Answers

[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]


A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
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The area of the bookmark is
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Answers

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

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12.56 + 68 = 80.56

And vuoila! there's your answer.

D
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WK (11x - 29)
Z
(6x + 5)
mZW

Answers

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

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m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

The midpoint of the coordinates (9, 11) and (7,8) is​

Answers

Answer:

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Step-by-step explanation:

((9+7)/2,(11+8)/2))

Answer for brainlest

Answers

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°

Step-by-step explanation:

[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]

I need the answer. Please help.

Answers

Answer:  1.8

===========================================================

Work Shown:

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(61) = AC/1

tan(61) = AC

AC = tan(61)

AC = 1.80404775527142

AC = 1.8

The river is about 1.8 miles wide between points A and C.

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.

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Answers

Answer:

a

Step-by-step explanation:

Please look at the image

Answers

Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!

(k+1)x^2-8kx+(3k+5) calculate the value for k​

Answers

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

(k+1)(x2)−8kx+3k+5

Distribute:

=(k)(x2)+(1)(x2)+−8kx+3k+5

=kx2+x2+−8kx+3k+5

Answer:

=kx2−8kx+x2+3k+5

(Click on the picture to see question) please help me!

Answers

Hi there! Using one of the logarithmic property below:

[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]

From the equation:

[tex] \large{ log_{2}(y) = x + 7}[/tex]

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Answer

y = 2^(x+7) the second choice.

150 round 2 decimal places

Answers

Answer:

[tex]150 = 150.00[/tex]

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