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
First way is to first find the sum and then find 37% of it. Second way is another way round, find 37 of 27 3/5 and 37% of 15.9 and then add it.
Answer:
3) 2.7
Step-by-step explanation:
The distance between two points 
and 
can be determined by:
Since the points are X(1, 2) and Y(6, 7). The distance between the two points is
the x value for the point located 1/3 the distance from X to Y,
The x value = 
(2x - 6)^2 = (2x - 6)(2x - 6) = 4x^2 - 12x - 12x + 36 = 4x^2 - 24x + 36
Answer:
AD = 7
Step-by-step explanation:
Given that the two triangles are similar by the SSS (side side side) postulate, the triangles share the same ratios when it comes to their sides.
We know the values for lines DB, EB and CB, therefore we can solve for AB, and subtract DB to find AD
We can solve the problem by solving for x:
Cross multiply.
Simplify.
Subtract the value of DB to find AD.
