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2 years ago

Your friends ate at a restaurant and left a $2.40 tip. They left a 15% tip. What was the cost of their bill before the tip?

Mathematics

2 answers:

postnew [5]2 years ago

5 0

16
To show work divide 2.4 by 3 to get .8 then multiply it by 20 to get 16

zhannawk [14.2K]2 years ago

3 0

Answer:

16$ is the bill

Step-by-step explanation:

so 2.40 is 15% of the bill, what i'd do is first divide 2.40(15%) by 3 to get 5% which can make this much easier, 2.40÷3=0.80. this means that 1.60 is 10% since 0.80 is 5%. so now we do 1.60×10=16$

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A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud

mafiozo [28]

<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

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3 years ago

Graph the equation by translating Y =|x|. Y=|x+1|-3

goldenfox [79]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Which expression can be used to convert AU$22 in the US dollars

miv72 [106K]

0.71 x 22 is the expression that works, because 1 AUD = 0.71USD.

5 0

3 years ago

Needed help with a algebra 2 question if so...

erma4kov [3.2K]

Answer:

Quadrant II

Step-by-step explanation:

Since there are 360 degrees in a circle we will subtract it from 860 until we get a number less than 360

$860-360=500\\500-360=140$

Since it less than 180 but more than 90 it will be in the second quadrant

Hope this helps! <3

5 0

3 years ago

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off

GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0

2 years ago