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.
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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
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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
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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!
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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
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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
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