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Lorico [155]
3 years ago
13

A landscaper has 125 times to build a square patio the patio must have an area of at least 80 ft.² hey. What are the possible ar

rangements for the patio b. How many tiles are not using each arrangement
Mathematics
1 answer:
Sliva [168]3 years ago
5 0
QA. 
<span>Assuming the dimensions have to be in exact feet then you could have </span>
<span>9ft *9ft = 81square feet </span>
<span>10 ft * 10 ft = 100 square feet </span>
<span>11 ft * 11 ft = 121 square feet. </span>

<span>QB. </span>
<span>If each tile is 1 ft * 1 ft ie 1 square foot </span>
<span>Then </span>
<span>9' * 9' would mean 125 - 81 = 44 tiles would not be used </span>
<span>10' * 10' = 125 - 100 = 25 tiles not used </span>
<span>11' * 11' = 125 - 121 = 4 tiles not used </span>
You might be interested in
A product can be made in sizes huge, average and tiny which yield a net unit profit of $14, $10, and$5, respectively. Three cent
navik [9.2K]

Answer:

The model is:

z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃    to maximize

Subject to:

First center               X₁₁  +  X₂₁  + X₃₁  ≤  550

Second center         X₁₂  +  X₂₂  + X₃₂  ≤ 750

Third center               X₁₃  + X₂₃  + X₃₃  ≤ 275                  

22* X₁₁  + 16* X₂₁  + 9*X₃₁     ≤   11000

22* X₁₂  + 16* X₂₂  + 9*X₃₂   ≤   2700

22*X₁₃  + 16* X₂₃  +  9*X₃₃  ≤  3400

X₁₁  +  X₁₂  + X₁₃  ≤  710

X₂₁  + X₂₂ + X₂₃  ≤  900

X₃₁ + X₃₂ + X₃₃  ≤  350

2700*(X₁₁  +  X ₂₁  + X₃₁)  -  11000*(X₁₂ + X₂₂ + X₃₂) = 0

3400*(X₁₁  +  X ₂₁  + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0

Xij >= 0

Step-by-step explanation:

Let´s call Xij   product size i produced in center j

According to this, we get the following set of variable

X₁₁    product size huge produced in center 1

X₁₂    product size huge produced in center 2

X₁₃   product size huge produced in center 3

X₂₁   product size average produced in center 1

X₂₂   product size average produced in center 2

X₂₃   product size average produced in center 3

X₃₁  product size-tiny produced in center 1

X₃₂ product size-tiny produced in center 2

X₃₃ product size-tiny produced in center 3

Then Objective function is

z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃

Constrains

Center capacity

1.-   First center               X₁₁  +  X₂₁  + X₃₁  ≤  550

2.-   Second center         X₁₂  +  X₂₂  + X₃₂  ≤ 750

3.- Third center               X₁₃  + X₂₃  + X₃₃  ≤ 275

Water available

1.-  22* X₁₁  + 16* X₂₁  + 9*X₃₁     ≤   11000

2.-  22* X₁₂  + 16* X₂₂  + 9*X₃₂   ≤   2700

3.-   22*X₁₃  + 16* X₂₃  +  9*X₃₃  ≤  3400

Demand constrain

Product huge

X₁₁  +  X₁₂  + X₁₃  ≤  710

Product average

X₂₁  + X₂₂ + X₂₃  ≤  900

Product tiny

X₃₁ + X₃₂ + X₃₃  ≤  350

Fraction SP/CC must be the same

First and second centers  fraction SP/CC  

(X₁₁  +  X ₂₁  + X₃₁)/ 11000   =  (X₁₂ + X₂₂ + X₃₂)/ 2700

2700*(X₁₁  +  X ₂₁  + X₃₁)  -  11000*(X₁₂ + X₂₂ + X₃₂) = 0

First and third centers  fraction SP/CC  

(X₁₁  +  X ₂₁  + X₃₁)/ 11000   = ( X₁₃ + X₂₃ + X₃₃)/ 3400

3400*(X₁₁  +  X ₂₁  + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0

The model is:

z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃

Subject to:

First center               X₁₁  +  X₂₁  + X₃₁  ≤  550

Second center         X₁₂  +  X₂₂  + X₃₂  ≤ 750

Third center               X₁₃  + X₂₃  + X₃₃  ≤ 275                  

22* X₁₁  + 16* X₂₁  + 9*X₃₁     ≤   11000

22* X₁₂  + 16* X₂₂  + 9*X₃₂   ≤   2700

22*X₁₃  + 16* X₂₃  +  9*X₃₃  ≤  3400

X₁₁  +  X₁₂  + X₁₃  ≤  710

X₂₁  + X₂₂ + X₂₃  ≤  900

X₃₁ + X₃₂ + X₃₃  ≤  350

2700*(X₁₁  +  X ₂₁  + X₃₁)  -  11000*(X₁₂ + X₂₂ + X₃₂) = 0

3400*(X₁₁  +  X ₂₁  + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0

Xij >= 0

6 0
3 years ago
If an arithmetic progression satisfies U4=7 , U8=15 .Find U10​
Alja [10]

<em>Answer:</em>

<em>U10 = 19</em>

<em>Step-by-step explanation:</em>

<em>The sequence is </em>Ux=(x*2)-1<em />

<em>x is the coefficient to U.</em>

<em>So, </em>U10=(10*2)-1<em />

<em>Which means </em>U10=20-1<em />

<em>Which means </em>U10=19<em />

<em>And there is your answer.</em>

<em>Hope this helps. Have a nice day.</em>

6 0
3 years ago
Eddie Hibbs earns a gross income of $42,300 a
Maslowich

Using proportions, it is found that his tax rate is of 28.84%.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:

12,200/42,300 = 0.2884 = 28.84%.

Hence his tax rate is of 28.84%.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
2 years ago
Plz help hurry i need to turn this in today and i don't have time to waste
serg [7]

Answer:

Part One: $187

Part Two: 11a + 5.5k

Step-by-step explanation:

Part One:

a = 9 (how many adult tickets)

k = 16 (how many kid tickets)

($11 × a) + ($5.50 × k) = total cost

($11 × 9) + ($5.50 × 16)

($99) + ($88) = $187 = total cost

Part Two:

11a + 5.5k

11 is how much the adult ticket costs, you multiply a or the amount of adult tickets in order to get the total cost for adults.

5.5 is how much the kid ticket costs, you multiply k or the amount of kid tickets in order to get the total cost for kids.

you add 11a + 5.5k or the total cost for adults and the total cost for kids to get the total cost.

3 0
3 years ago
A number minus 8 is at least 14
Serhud [2]

Answer:

22

Step-by-step explanation:

just add 8 to 14, then there is your number that would equal 14 if 8 was subtracted from it

6 0
3 years ago
Read 2 more answers
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