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Ber [7]
3 years ago
15

Write the inequality for the graph.

Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer:

p\leq 4

Step-by-step explanation:

we know that

The solution of the graph shows the interval (-∞,4]

All real numbers less than or equal to 4

In a number line the shaded area is at left of x=4 (closed circle)

The number 4 is included in the solution

therefore

the inequality that represent the graph is

p\leq 4

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3 years ago
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)

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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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