Answer:
.
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.
The answer is x=-6.33333 (-19/3)
First, add like terms (12+7), which would equal to 19.
Then isolate the variable by subtracting 19 and adding it to the other side of the equal sign.
Now with this new equation of 3x=-19, isolate again by dividing 3 from x and do the same thing to the other side (-19/3).
The answer should be -6.33 repeating, but in algebra you would give a more simplified answer. This would be -19/3
Answer:
The child has 6 dimes and 5 quarters.
Step-by-step explanation:
Let q and d represent the number of quarters and of dimes respectively.
Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).
Multiply the 2nd equation by 100 to remove the decimal fractions:
25q + 10d = 185 (Equation C)
Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:
-10q - 10d = -110
25q + 10d = 185
--------------------------
15q = 75, and so q = 75/15 = 5.
According to Equation A, q + d = 11. Replacing q with 5, we get:
5 + d = 11, and so d = 6.
The child has 6 dimes and 5 quarters.
The first one. It is called an exponential decay curve.
Answer: 1/3
Step-by-step explanation:
lol hope i helped:)