27 campers ate 567 pancakes during a week−long trip. If each camper ate the same amount, how many pancakes did each camper eat?

A 4 wheeler that travels 52 miles on 5 gallons of gasoline. A second 4 wheeler travels 21 miles on 2 gallons of gasoline which c

nalin [4]

Answer:

The second 4 wheeler gets better mileage

Step-by-step explanation:

First 4 wheeler:

52mi - 5gal

Second 4 wheeler:

21mi - 2 gal

To compare we have to make sure everything is equal so,

5÷2 = 2.5

so,

second 4 wheeler:

21*2.5=52.5 , 2*2.5=5

52.5mi - 5gal

52<52.5

6 0

2 years ago

Can someone please help me with this? I don't really understand it and I would really appreciate if you can show me step by step

7nadin3 [17]

Answer:

225

I used

www.symbolab.com

to help me solve this

3 0

3 years ago

A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet

abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0

3 years ago

The volume of a cylinder of radius 3r and height 6r is given by TT(3r)2(6r). Simplify the expression.

OLga [1]

Answer: $\pi 36r^{2}$

Step-by-step explanation:

ALRIGHT ARE YOU READY FOR EPIC MATH TIME?

because i know i am. so lets get this bread.

WATCH: we have $\pi (3r)2(6r)$

interesting... that first character is called pi. maybe i should have said, "lets get this pi".

so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... $\pi (3r)(12r)$

WE ARE MAKING EPIC PROGRESS, AREN'T WE?

lets multiply 12r by 3r. then we have....

$\pi 36r^{2}$

notice how i multiplied 12 by 3 and also r by r (which gives 36 and $r^{2}$ respectively)

so your simplified expression is: $\pi 36r^{2}$

6 0

3 years ago

can i help me find four numbers such that when the first of them is divisible by 4, when the second is multiplied by 4, when the

FromTheMoon [43]

Answer:

1

Step-by-step explanation:

4÷1=4 4×1=4 4+1 = 5 5-1 = 4

4 0

3 years ago