Densities of Metal, a world-famous rock band, put on a show at an arena in Rome last night. The rectangular floor of the arena had an area of
32
,
000
m
2
32,000 m
2
32, comma, 000, start text, space, m, end text, squared and was packed shoulder to shoulder with fans.
The band wants to know how many people were at last night's show. They estimate that, on average, each person takes up a circular space with a diameter of
0.8
m
0.8 m0, point, 8, start text, space, m, end text. Since the floor was packed, they assume these circular spaces were tightly packed together in rows and columns.
Estimate how many people were at Densities of Metal's rock show based on their assumptions.
Choose 1
a) about 20,000 people
b) about 50,000 people
c) about 60,000 people
d) about 100,000 people

b) about 50,000 people

Step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.