Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Answer:
2m/5-1/5
Step-by-step explanation:
2*m-2/5+3/5
2(m-2)/5+3/5
2(m-2)/5+3/5
2m-4/5+3/5
2m/5-1/5
Answer:
28 minutes
3.5 x 8 = 28
Step-by-step explanation:
Feeding the whole school (8/8) would take 8 times as long as feeding 1/8 of the school.
3 1/2 can become 3.5 if that's easier for you to work with.
Feeding 1/8 of the school is 3.5 x 1 = 3.5
Feeding 2/8 of the school is 3.5 x 2 = 7
Feeding 8/8 of the school is 3.5 x 8 = 28
It takes 28 minutes to feed the whole school (8/8)
Answer:
The third or bottom left option.
Step-by-step explanation:
Pay attention to the slopes. If it is negative that the graph points to the top left or bottom right and the opposite for a positive slope(slope is the coefficient of the x value meaning if the slope is a very small negative number or a large positive number than the steepness changes) This can be solved purely through the process of elimination which is how I did it.