Answer:
Step-by-step explanation:
Answer:
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Step-by-step explanation:
3.PS-15
Challenge The members of the city cultural center have decided to put on a play once a night for a
week. Their auditorium holds 500 people. By selling tickets, the members would like to raise $2,350
every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Lets
represent the number of student tickets sold at $3.50 each. If all 500 seats are filled for a
performance, how many of each type of ticket must have been sold for the members to raise exactly
$2,350? At one performance there were three times as many student tickets sold as adult tickets. If
there were 400 tickets sold at that performance, how much below the goal of $2,350 did ticket sales
fall?
The members sold
adult tickets and
student tickets.
He reads 1/11 book in 2/5 hour.
A whole book is 11/11 of a book.
Multiply by 11.
He reads 11/11 book in 11 * 2/5 hour.
He reads 1 book in 22/5 hour.
22/5 hour = 4.4 hour = 4 hours and 24 minutes
Solving a system of equations, we will see that there are 6000 kg of coal on the pile.
<h3>
How many kilograms of coal are in the pile of coal?</h3>
Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.
We know that:
- If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
- If it burns 1000 kilograms per day, it will take an additional day than planned.
Then we can write the system of equations:
(1500)*(D - 1) = N
(1000)*(D + 1) = N
Because N is already isolated in both sides, we can write this as:
(1500)*(D - 1) = N = (1000)*(D + 1)
Then we can solve for D:
(1500)*(D - 1) = (1000)*(D + 1)
1500*D - 1500 = 1000*D + 1000
500*D = 2500
D = 2500/500 = 5
Now that we know the value of D, we can find N by replacing it in one of the two equations:
(1500)*(D - 1) = N
(1500)*(5 - 1) = N
(1500)*4= N = 6000
This means that there are 6000 kilograms of coal on the pile.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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25% 3/10 1/3 and 37.5%
.25,.30,.33,.375
