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fenix001 [56]
3 years ago
8

A hose fills a hot tub at a rate of 3.13 gallons per minute. How many hours will it take to fill a 255-gallon hot tub?

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

about 1.4 hours

Step-by-step explanation:

3.13 gallons per minute.

60 minutes in an hour, so multiply both numbers by 60.

187.8 gallons per hour.

Divide the number of gallons we need to fill the tub the number of gallons put in per hour.

255÷187.8=1.375...

Round it, you get 1.4 hours.

It takes about 1.4 hours to fill the hot tub.

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10 people who build at the same rate can frame a house in 6 days. What fractional part of a house can 4 people frame a house in
Alina [70]

10 people who build at the same rate can frame a house in 6 days. That means it will take one person 10\times6=60 days to finish the house.

Which means that it will take 4 people \frac{60}{4}=15 days to finish the house.

So, the fractional part of the house 4 people can frame in 3 days will be \frac{3}{15}=\frac{1}{5}

Thus, Option D is the correct answer.

8 0
3 years ago
What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?
posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

Since\  \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0

5 0
3 years ago
1. What is (6^1/2 x3/4 simplified?
lora16 [44]

Answer:

1/ 6

Step-by-step explanation:

5 0
3 years ago
The math test scores of Mrs. Hunter's class are shown below:
pishuonlain [190]

Answer:

82

Step-by-step explanation:

Well since everything is already in order from least to greatest:

48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

The median is the number in the middle

So 82 is the median

Hope this helps!

Feel free to comment any questions you have!

6 0
3 years ago
Find the surface area of the rectangular prism.
olganol [36]

Answer:

D. 270 cm2

Step-by-step explanation:

2*(15*5 + 15*3 + 5*3) = 270 cm2

8 0
3 years ago
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