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sparky1234

sparky1234

17.02.2021 •

Mathematics

IF you could pls help me, don't answer if u don't know the answer but if correct I will give brainless.

IF you could pls help me, don't answer if u don't know the answer but if correct I will give brainl

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Ответ:

GamerGirl15

19.03.2021

So the perimeter of the track is less than 400 meters.

so 398.12

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Ответ:

maryb37

19.03.2021

398.12 hope that helps

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Ответ:

Makoshark6887

27.08.2022

Let

x------> the number of men’s shirts

y-----> the number of women’s shirts

we know that

$8x+12y \leq 240$ ----> constraint A

$x\geq 3$ ----> constraint B

$y\geq 8$ ----> constraint C

$y\geq 2x$ ----> constraint D

using a graphing tool

see the attached figure N

The solution is the shaded area

Remember that

if an ordered pair meets all restrictions and makes sense in the context of the situation, then the ordered pair is a system solution

we're going to proceed to verify each pair ordered

case A) (4,9)

Substitute the value of x and y in each constraint

$x=4\\y=9$

Verify constraint A

$8*4+12*9 \leq 240$

$140 \leq 240$ -------> is true

Verify constraint B

$4\geq 3$ -------> is true

Verify constraint C

$9\geq 8$ ------> is true

Verify constraint D

$9\geq 2*4$

$9\geq 8$ -----> is true

therefore

the ordered pair (4,9) is a system solution

case B) (7,13)

Substitute the value of x and y in each constraint

$x=7\\y=13$

Verify constraint A

$8*7+12*13 \leq 240$

$212 \leq 240$ -------> is true

Verify constraint B

$7\geq 3$ -------> is true

Verify constraint C

$13\geq 8$ ------> is true

Verify constraint D

$13\geq 2*7$

$13\geq 14$ -----> is not true

therefore

the ordered pair (7,13) is not a system solution

case C) (2,15)

Substitute the value of x and y in each constraint

$x=2\\y=15$

Verify constraint A

$8*2+12*15 \leq 240$

$196 \leq 240$ -------> is true

Verify constraint B

$2\geq 3$ -------> is not true

Verify constraint C

$15\geq 8$ ------> is true

Verify constraint D

$15\geq 2*2$

$15\geq 4$ -----> is true

therefore

the ordered pair (2,15) is not a system solution

case D) (5,12)

Substitute the value of x and y in each constraint

$x=5\\y=12$

Verify constraint A

$8*5+12*12 \leq 240$

$184 \leq 240$ -------> is true

Verify constraint B

$5\geq 3$ -------> is true

Verify constraint C

$12\geq 8$ ------> is true

Verify constraint D

$12\geq 2*5$

$12\geq 10$ -----> is true

therefore

the ordered pair (5,12) is a system solution

case E) (6,15)

Substitute the value of x and y in each constraint

$x=6\\y=15$

Verify constraint A

$8*6+12*15 \leq 240$

$228 \leq 240$ -------> is true

Verify constraint B

$6\geq 3$ -------> is true

Verify constraint C

$15\geq 8$ ------> is true

Verify constraint D

$15\geq 2*6$

$15\geq 12$ -----> is true

therefore

the ordered pair (6,15) is a system solution

therefore

the answer is

(4,9)

(5,12)

(6,15)

see the attached figure N to better understand the solution

Luis can spend up to $240 buying men’s and women’s shirts for his club. men’s shirts cost $8 each an

Luis can spend up to $240 buying men’s and women’s shirts for his club. men’s shirts cost $8 each an

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