Answer:
each solo act will last 5 minutes and each ensemble act will last 14 minutes
Step-by-step explanation:
In the first show, we are told that there are 12 solo acts and 3 ensemble acts.
Now since each solo act lasts x minutes, and each ensemble act lasts y minutes and the show lasts 102 minutes, thus we have;
12x + 3y = 102 - - - - eq1
In the second show which lasts 72 minutes, we are told that there will be 6 solo acts and 3 ensemble acts.
Thus,we have;
6x + 3y = 72 - - - - eq2
Now, let's find x and y by subtracting eq 2 from eq1 to give;
6x = 30
Divide both sides by 6 to give;
x = 5
Put 5 for x in eq2;
6(5) + 3y = 72
30 + 3y = 72
3y = 72 - 30
3y = 42
y = 42/3
y = 14
Thus, each solo act will last 5 minutes and each ensemble act will last 14 minutes
Answer:
b = 7/2
x = 11/2
y = 21/2
z = -4
Step-by-step explanation:
2x + 2y + 2z = 24
x + y + z = 12
b + 2x + y + z = 21
2b + 2y = 28
b + y = 14
3x + y + z = 23
we can start anywhere by transforming these equations in a way that always one variable is excised by others.
so, e.g.
b = 14 - y
14 - y + 2x + y + z = 21
2x + z = 7
z = 7 - 2x
3x + y + 7 - 2x = 23
x + y = 16
16 + z = 12
z = -4
-4 = 7 - 2x
-11 = -2x
11 = 2x
x = 11/2
11/2 + y = 16
y = 16 - 11/2 = 32/2 - 11/2 = 21/2
b = 14 - 21/2 = 28/2 - 21/2 = 7/2
Answer:x= 7, 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the statement options? If I had to guess it would be Jacqueline practiced 150 minutes all week and Cassie practiced 110 minutes so Jacqueline practiced more minutes in fewer sessions than Cassie.
