In a talent show of singing and comedy acts, singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long. The show has 14 total acts and lasts 59 minutes. How many singing acts and comedy acts are there?

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

4.

step-by-step explanation:

it have the same area.brainliest

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.