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3 years ago

1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to

Mathematics

1 answer:

givi [52]3 years ago

6 0

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = $\frac{216}{12} = 18 ft$

360 inches = $\frac{360}{12} = 30 ft$

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: $\frac{540}{2.5} = 216 people$

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Diane keeps all of her toys on a shelf. The shelf is 24" long and 7" wide. If the wdith the shelf is doubled, what would happen

goblinko [34]

Step-by-step explanation:

Given that,

The length of the shelf = 24 inches

The width of the shelf = 7 inches

Area of the shelf, A = 24 × 7

= 168 inch²

When the width of the shelf is doubles,

New width = 14 inch

New area, A' = 14×24

= 336 inch²

It means,

A' = 2(A)

So, the new area becomes 336 inch² i.e. twice the initial area.

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3 years ago

Complete the pattern 5, 9, 17, 33, ____, 129

k0ka [10]

The answer should be 65. The number be added is doubled. +4,+8, +16, +32 So 32+33=65 65+64=129

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3 years ago

The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

jeka94

9514 1404 393

Answer:

8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

V = 4/3πr^3

V' = 4πr^2·r'

For the given numbers, this is ...

V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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3 years ago

What is the decay factor in the exponential decay function y=a (1-r) t

MrRissso [65]

Answer:

in this form, the "-r" would cause the result to decrease

I assume that the answer is "r"

if r = .1 (10 %) then 1-.1 = .9

if you have 100 items then y = 100(.9)^1 = 90

the total decreased by 10% ... y = 100(.9)^2 after 2 time periods

Step-by-step explanation:

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2 years ago

Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt

Mariana [72]

Answer:

60 minutes

Step-by-step explanation:

The distance formula is:

D = RT

Where

D is distance (in miles)

R is rate (in miles per hour)

T is time (in minutes)

Given,

D = 14 miles

R = 14 miles per hour

We want to find T, so we have:

$D=RT\\T=\frac{D}{R}\\T=\frac{14}{14}\\T=1$

So the time is 1 hour

We want in minutes, and we know 60 minutes is 1 hour, so the time (in minutes) is 60 minutes

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3 years ago

Read 2 more answers