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Alecsey [184]
3 years ago
9

Solve LaTeX: \frac{-x}{3} \:-15 x > − 15 LaTeX: x\: \:-2

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

<h3>\frac{  - x}{3}  < 5</h3>

<u>First of all cross multiply</u>

That's

<h3>- x < 5 \times 3 \\  - x < 15</h3>

Next divide both sides by - 1 to make x positive and change the sign from < to >

That's

<h3>\frac{ - x}{ - 1}  <  \frac{ 15}{ - 1}</h3>

We have the final answer as

<h2>x >  - 15</h2>

Hope this helps you

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Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2
notka56 [123]

Answer:

x= 30.29 (1-0.223) = 23.54

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

Step-by-step explanation:

For this case we assume the following notation:

T= 30.29 represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

T = f*T + (1-f)T = f*T + x

And we can solve for x from the previous equation like this:

x = T - f*T

Taking T common factor we got:

x = T (1-f)

And if we replace we got:

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And the amount destined to the tip would be fT = 0.223*30.29=6.75

And if we add the two values we see that:

23.54+6.75 = 30.29 representing the total cost.

So then the correct answer for the question:

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

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3 years ago
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