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2 years ago

11

The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for eac

h room. Write an equation to represent this relationship. Im just confused im sorry hah please help!! 35Pts (repost)

1 answer:

Dmitry [639]2 years ago

5 0

Answer:

y = 22x

Step-by-step explanation:

Let x = the number of rooms

y = total cost

It costs 22 dollars per room

y = 22x

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A car traveling at a constant speed travels 1000 ft in 12 seconds. how long in hours will it take to travel 175 miles?

artcher [175]

9514 1404 393

Answer:

3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

$175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}$

It will take 3.08 hours to travel 175 miles at that speed.

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2 years ago

A projectile is fired into the air with an initial vertical velocity of 160 ft/sec from ground level. How many seconds later doe

djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

$\mathbf{h(t) = -16t^2 + 160t}$

Differentiate the function with respect to t

$\mathbf{h'(t) = -32t + 160}$

Set to 0

$\mathbf{h'(t) = -32t + 160 = 0}$

So, we have:

$\mathbf{-32t + 160 = 0}$

Collect like terms

$\mathbf{-32t =- 160 + 0}$

$\mathbf{-32t =- 160}$

Solve for t

$\mathbf{t = \frac{- 160}{-32}}$

$\mathbf{t = 5}$

Hence, the projectile reaches the maximum after 5 seconds

Read more about maximum values at:

brainly.com/question/6636648

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2 years ago

A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth

FinnZ [79.3K]

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

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2 years ago

Please help me I really such at geometry

garik1379 [7]

Answer:

DF, DE, EF

Step-by-step explanation:

Nah dude, you got it. :)

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2 years ago

Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls.

earnstyle [38]

Answer:

it would be 3/7

Step-by-step explanation:

3+4=7 3 cousins out of the seven are girls

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3 years ago