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Nastasia [14]
3 years ago
8

today, 6 friends went out for lunch. their total Bill was $41.88, including tax and gratuity. they decide to split the Bill equa

lly and each paid a $10 Bill. how much money will each person get back?

Mathematics
2 answers:
Len [333]3 years ago
5 0
To solve this question, we first need to find out the total amount that the 6 friends payed. We can do this by multiplying the amount each one of them payed by the number of friends there are. Since there are 6 friends and they each payed $10, we know that the total payed is $60. 

Now, we need to find the amount that the 6 friends over-payed, which can be derived by subtracting the amount they payed and the amount they were supposed to pay. 

$60 - $41.88 = 
=$18.12

Now that we know how much they over-payed as a group, we need to find out how much each of them over-payed individually, which will be the money they get back. This can be solved by dividing the amount they over-payed as a group by the number of friends.

$18.12 / 6 =
=$3.02, meaning that they each will get back $3.02
Mariulka [41]3 years ago
4 0
Each person will get back $3.02

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one light flashes every 2 minutes and another flashes every 7 minutes. If both lights flash together at 1pm, what is the first t
vovangra [49]
Light A flashes every 2 minutes while light B flashes every 7. The goal is to figure out when both lights flash at the same time and then figure out the other part later. You have to find the common multiples of 7 and 2. Meaning that you have to find out which number can they both be multiplied into. In this case, it is 14 because 7 can be multiplied by 2 to get 14 and 2 can be multiplied by 7. So if every 14 minutes they flash together at the same time, now you need to find out what time AFTER 3 will they both flash. You know that they both flashed at 1:00 so they will flash again at 1:14 and 1:28 and so on, but you need to find out when is the soonest they will flash after 3. 2 hours after the 1:00 flash will be 3:00 so that is 120 minutes. 120 minutes divided by 14 minutes comes to 8.5 but you dont need the decimal. Just simply multiply 14 by 8 and that comes to 112 minutes and if you add that to 1:00 you get 2:52. so they flashed at 2:52 so the next time they flash will be 14 minutes after 2:52. Sorry for the super long answer
6 0
3 years ago
The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion
Alex787 [66]
If you would like to know how many people attended the reunion last year, you can calculate this using the following steps:

125% of last year's attendance is 160 people
125% of x is 160
125% * x = 160
125/100 * x = 160     /*100/125
x = 160 * 100 / 125
x = 128 people (last year)

Result: 128 people attended the reunion last year.
4 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
4 years ago
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