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wlad13 [49]
2 years ago
5

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

t the bill and tip evenly among themselves. Which equations and solutions describe the situation? Select two options. The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill. The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill. The solution x = 60 represents the total food bill. The solution x = 60 represents each friend’s share of the food bill and tip. The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Mathematics
1 answer:
Margarita [4]2 years ago
6 0

1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.

2) The total food bill is represented by the equation x=60.

Both of these responses are correct.

Step-by-step instructions:

Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).

Our equation can be as follows if x is the food bill:

76/8 = (x+16)/8

Solving the Problem

9.5 = (x+16)/8

9.5*8 Equals x+16

x=76 -16 x=76 -16 x=76 -16 x=

60 = x

The cost of food is x=60.

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the admission fee for a charity event is 7 dollars for children and 10 dollars for adults the event was attended by 700 people a
ollegr [7]
Given:
$7/child
$10/adult
Total people = 700
Total money = $6,400

First, make two equations.
Let a = # of adults & Let c = # of children.
Let p = total people

1.      a+c = 700
2.  10a+7c = 6,400

Then, rearrange the equation to solve for a variable.
c = 700-a

Substitute (700-a) for c, or the # of children in the second equation.
10a+(700-a) = 6400
9a+700 = 6400
9a+700-700 = 6400-700
9a = 5700
9a/9 = 5700/9 
a = 633\frac{1}{3}  = # of adults attended

700-633\frac{1}{3} = c = 66 \frac{2}{3} = # of children attended


4 0
3 years ago
Solve for x. Please show work.
abruzzese [7]

Answer:

x= to 5

Step-by-step explanation:


5 0
3 years ago
In this system of linear equations with no solution
Ksivusya [100]
Two line with the same slope are parallel, if two parallel lines have a different y-intercept they will never cross each other.

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3 0
3 years ago
Maria Addai has been offered a future payment of $990 two years from now. If she can earn 8.2 percent compounded annually on her
IgorLugansk [536]

Answer:

845.6306

Step-by-step explanation:

Firstly this is annuity based

Let, investment at beginning of year = <em>x</em>

Then value at year 1 end = x + (8.2% \times x)

Value at end of year 2 = (x + 0.082x) + (8.2% \times (x + 0.082x))

Now this value = $990

Therefore,

990 =  (x + 0.082x) + ((x + 0.082x) \times 8.2%)

990 = x + 0.082x + 0.082x + 0.006724x = 1.170724x

x = 990/1.170724 = 845.6306

3 0
3 years ago
Read 2 more answers
I need help solving this
ladessa [460]
I’m not that sure but
B is (-2,2)
A is (-4,-2)
C is (2,2)
Hope it helps!!
5 0
3 years ago
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