Answer to Question #124943 in Geometry for Jonathan

Question

1. A weather balloon holds 2,850 cubic meters of helium. The density of helium is 0.1685 kilograms per cubic meter. How many kilograms of helium does the balloon contain? Please round your answer to the nearest whole number. Only enter a numerical value in the answer blank. Numerical Answers Expected

2.

The Pretty Pizza Company wants to open a new pizza place either on the north side of town or the south side of town. They want to open the pizza place where the ratio of pizza places per person is less than 0.01. The population of 15 blocks of the north side of town is 221 people per block, but there are already 32 pizza places in the area. The population of 22 blocks of the south area is 150 people per block, and there are 28 pizza places in the area. Where, if anywhere, should the Pretty Pizza Company open a new pizza place?

South side of town

North side of town

Both sides of town

Neither side of town

Answer 1

1). Since, density $\rho=Mass/Volume=M/V\implies M=\rho V$

We have given $\rho=0.1685kg/m^3$ and $V=2850m^3$ ,hence $M=480kg$

2).Population in north side town is $15\times221=3315$ ,Number of Pizza Places are $32$ ,Thus Ratio of pizza palce per person is $32/3315=0.0096<0.01$ .

Now, population in South area are $22\times150=3300$ and number of pizza places are $28$ ,thus Ratio of pizza places per person is $28/3300=0.0084<0.01$

Therefore,Pretty Pizza Company can open a new pizza place in both place.