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Mathematics 13 Online
OpenStudy (anonymous):

Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at 5 dollars each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal? 20 ≤ x ≤ 200 40 ≤ x ≤ 100 100 ≤ x ≤ 200 20 ≤ x ≤ 100

OpenStudy (anonymous):

@Brent0423 can ya help me with this question?

OpenStudy (anonymous):

What have you tried so far?

OpenStudy (anonymous):

and yes i can!

OpenStudy (anonymous):

which is the best answer? c:

OpenStudy (anonymous):

what times $5 =$200 ??

OpenStudy (anonymous):

@shoeless what do you think the best answer would be?

OpenStudy (anonymous):

We know that Shiloh can only sell a maximum of 100 cakes, so the 1st and 3rd choices are ruled out. Shiloh wants to sell AT LEAST x # of cakes to meet her $200 goal. Given that her earnings from selling x # of cakes is (price) x (#of cakes sold) = 5x, then solve: 5x is greater than or equal to 200 (since she wants AT LEAST $200).

OpenStudy (anonymous):

Solving that inequality gives us x must be greater than or equal to 40. So I would think the answer is: 40 ≤ x ≤ 100

OpenStudy (anonymous):

Good work Shoeless!

OpenStudy (anonymous):

thank you :] do you think you can help with one more?

OpenStudy (anonymous):

@shoeless

OpenStudy (anonymous):

Solve for x. -ax + 4b > 9 x > the quantity negative 3 times b minus 5 all over negative a x < the quantity 5 minus 3 times b all over negative a x < the quantity negative 3 times b plus 5 all over negative a x > the quantity negative 3 times b plus 5 all over negative a

OpenStudy (anonymous):

-ax + 4b > 9, subtract 9 from both sides and add ax to both sides 4b - 9 > ax, divide both sides by a (4b - 9)/a > x

OpenStudy (anonymous):

I don't know where the 3 and the 5 come from in the options you were given. hmmm. That's how I would solve for x.

OpenStudy (anonymous):

so which is the best answer?

OpenStudy (anonymous):

@shoeless

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