Answer: 792
Step-by-step explanation:
Given : Hugo and Viviana work in an office with ten other coworkers.
Out of these 12 workers, their boss needs to choose a group of five to work together on a project.
The combination of n thing taking m at a time is given by :-

Then, the number of different working groups of five the boss can choose :-

Hence, the number of different working groups of five the boss can choose = 792.
5.5 • 5= 27.5+27.5+65+65+71.5+71.5=328
13•5=65
13•5.5=71.5
THE ANSWER IS 328
Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
It’s b because it has more marbles
Answer:
y = -5x + 4
Step-by-step explanation:
slope = -5x
y-intercept = 4
y = mx + b --> slope intercept formula
y = -5x + 4 --> final solution