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Mathematics 22 Online
OpenStudy (mwhit2101):

Malia needs to spend at least 80 hours in swim practice this month. Her events are backstroke and freestyle. Write an inequality to represent Malia’s situation.

OpenStudy (anonymous):

hi!

OpenStudy (anonymous):

so Malia needs at least a total of 8 hrs this month, right?

OpenStudy (anonymous):

*80 ... sorry

OpenStudy (mwhit2101):

a. \[x+y \le80 \] b.x+y>80 c. x+y<80 d. \[x+y \ge80\]

OpenStudy (anonymous):

so she swims two strokes; backstroke and freestyle; those are your two variables

OpenStudy (mwhit2101):

ok..

OpenStudy (anonymous):

so i would say freestyle is x and backstroke is y

OpenStudy (mwhit2101):

right

OpenStudy (anonymous):

so x + y should be greater that or equal to 80 because she needs AT LEAST 80 hrs, right?

OpenStudy (mwhit2101):

yes

OpenStudy (anonymous):

\[x + y \ge 80\]

OpenStudy (mwhit2101):

so that would mean it would be D?

OpenStudy (anonymous):

yeah!

OpenStudy (mwhit2101):

Thanks :D

OpenStudy (anonymous):

you're welcome!

OpenStudy (mwhit2101):

Would you mind helping me with one more?

OpenStudy (anonymous):

sure :D

OpenStudy (mwhit2101):

Autumn has $20 to spend on nuts for a party. Peanuts cost $2 per pound and cashews cost $4 per pound. Write an inequality to represent the party nut situation.

OpenStudy (anonymous):

peanuts are x cashews are y

OpenStudy (mwhit2101):

kay

OpenStudy (anonymous):

she can only spend 20

OpenStudy (anonymous):

so it has to be less than or equal to...

OpenStudy (mwhit2101):

so it would be like

OpenStudy (mwhit2101):

2x+4y(less than or equal to sign)20 ?

OpenStudy (anonymous):

so... 2x + 4y should total up to less than or equal to 20... the 2 is because peanuts are $2 and the 4 is because cashews are $4

OpenStudy (anonymous):

so yeah! u r correct!

OpenStudy (mwhit2101):

Alright thanks so much >:D

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