Answer:
5 + i
Step-by-step explanation:
I hope this helps!
The Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
<h3>What is the unitary method?</h3>
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
At the Saturday matinee, 350 people attended the show.
The total number of people who watched the show on Saturday = 350
For the Saturday evening performance, 40% more people attended the performance.
350 x 40%
= 350 x 0.4
= 140
Total people will be = 350 + 140 = 490
If the average cost of tickets was $182
For 490 people = 490 x 182 = $89180
Hence, the Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
Learn more about the unitary method;
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Answer:
3 student.
Step-by-step explanation:
From the first statement:
Let the total score be T
Let the total number of student be x
The average of the score = 72
Average = Tota score / number of student
72 = T/x
Cross multiply
T = 72x ..... (1)
Second statement:
One more student took the test and the average becomes 76 with the student having a score of 88.
Therefore,
Overall score = T + 88
Total student = x + 1
Average = 76
Average = overall score / total number of student
76 = (T + 88) /(x + 1)
Cross multiply
76(x + 1) = T + 88
Clear bracket
76x + 76 = T + 88
From equation 1
T = 72x
76x + 76 = 72x + 88
Collect like terms
76x – 72x = 88 – 76
4x = 12
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Therefore, the initial number of the student were 3.
We have that
(3y-8)/12=(y/5)---------> 5*(3y-8)=12*(y)
15y-40=12y-------------> 15y-12y=40
3y=40--------------> y=40/3
y=(40/3)----------> 13.33
the answer is y=40/3 (13.33)
Answer:
Step-by-step explanation:
To solve for t, you have to isolate it on one side of the equation.
<h3>-17=-9+4t</h3>
<u>First, you have to switch sides.</u>
→ -9+4t=-17
<u>Add by 9 from both sides.</u>
<u>Then, you solve it.</u>
-17+9=-8
4t=-8
<u>Divide by 4 from both sides.</u>
<u>Solve.</u>
<u>Divide the numbers from left to right.</u>
-8/4=-2
- <u>Therefore, the correct answer is t=-2.</u>
I hope this helps. Let me know if you have any questions.