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:
Line means going on upto point but line segment means limited line
Answer:
Factors (2 x 2 x 3 x 3 x 5 x 5 = 900). It can also be written in exponential form as 22 x 32 x 52.
Step-by-step explanation:
Answer:
D. x=4
Step-by-step explanation:
We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).
The bottom length is 3 and the hypotenuse is 5.
The Pythagorean Theorem is a²+b²=c².
We can plug this in:
3²+x²=5²
9+x²=25
x²=16
x=4
Answer:
5
Step-by-step explanation:
You do 12 x 3 which is 36.
you then do 1/3 x 3 which is 1.
36-1 is 35.
you then do 4x3 which is 12.
you then do 12-5 which is 7.
you then do 35÷7=5
this is why it is 5.
