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il63 [147K]
3 years ago
14

Help PLSSSSSSSSSSSSSSSSS extra points

Mathematics
1 answer:
arlik [135]3 years ago
7 0

Answer:

85 messages

Step-by-step explanation:

The system of equations for this is

35 + .10x

18 + .3x

where x = the number of text messages

Usually, you would use substitution or elimination to solve this problem. However, because the answer choices were given, you can just plug in the values.

When you plug in 85, or x = 85, you get 43.5 for both equations because

35 + .10(85) = 43.5     18 + .3(85) = 43.5

Therefore, the answer would be 85 messages becuase both plans will cost the same when you send 85 text messages!

:)

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STALIN [3.7K]

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Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

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