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Andrei [34K]
3 years ago
11

The price for dinner in a restaurant was $80. The sutomer paid an additional 7% meals tax and left a $15 tip. How much did the c

ustomer spend altogether in the restaurant?
Mathematics
1 answer:
Goshia [24]3 years ago
7 0
Price for Dinner = $80.

Meal tax = 7% x $80 = 0.07 x 80 = $5.60

Tips = $15

Total = $80 + 45.60 + $15 = $100.60

Answer: $100.60
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A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
mojhsa [17]

\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

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3 years ago
Joan can pick 9 pounds of strawberries in one hour.
Law Incorporation [45]
It takes him 8 hours
8 0
2 years ago
A dog sled race is 25 miles long.The equation 5/8 k=25 can be used to estimate the race’s length k in kilometers. Approximately
EastWind [94]
The distance to be covered in the race is 25 miles
average speed of the team is 30 km/h
30 km/m in miles/hour will be:
1 mile=0.621371 km
thus
30 km/h=(30×0.621371) miles/hour
=18.64113 miles/hour
time taken to complete 25 miles will be:
time=distance/speed
=25/18.64113
=1.3411 hours
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3 years ago
Lena paid $18.96 for 3pounds of coffee. What is the cost per pound for this coffee
STatiana [176]

Answer:

6.32

Step-by-step explanation:

divide 18.96 by 3  and the outcome is 6.32

6 0
3 years ago
PLS ANSWER THIS IM IN A HURRY
den301095 [7]

Answer:

14.14 i hope this helps lol ;)

6 0
3 years ago
Read 2 more answers
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