10.08.2021

in one night in theaters song 548 movie tickets an adult ticket cost $6.50 and a child’s ticket cost $3.50 in all 2881 was taken in how many of each kind of ticket use a system of linear equations to solve

. 13

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22.01.2022, solved by verified expert
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Answer: there were sold 321 adult tickets and 227 child's tickets.

Explanation:
Let x be the number of adults and y the number of childrens.
x+y=548 people because thats the whole number of sold tickets,
and
6.50*x+3.50*y=2881 dollars in total.
Let separate x from the first formula
x=548-y,
and replace it at the second equation:
6.50*(548-y)+3.50y=2881;
6.50*548-6.50y+3.50y=2881;
3562-3y=2881;
3y=681;
y=227.
So, x=548-y=548-227=321.
Hence, there were sold 321 adult tickets and 227 child's tickets.

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Step-by-step answer
P Answered by PhD

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Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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Step-by-step answer
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The solution is in the following image

The solution is in the following image
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Step-by-step answer
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The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
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Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

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