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3 years ago

a hose fills a hot tub at a rate of 4.78 gallons per minute. How many hours will it take to fill a 309 gallon tub?

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

7 0

You just have to divide 309 by 4.78 so it would =64.6443

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mary has g+24.50 in her bank account. bobby has 7g- 52.34 in his bank account. How much do they have in all?

Gnoma [55]

A=850×(1+0.08)^(8)
A=1,573.29

Interest 1573.29-850=723.29

6 0

3 years ago

Please solve the problem.

Deffense [45]

OK. I did it, and I have the solution.
_____________________________________

The length of the deck is (5 + 2x) .
The width of the deck is   (4 + 2x) .

If the deck didn't have that big hole in the middle where the pool is,
then its area would be

   (5 + 2x) · (4 + 2x) .

When you multiply that all out, you get    Area = 4x² + 18x + 20

and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write

   4x² + 18x + 20 = 90 .

Subtract 90 from each side:    4x² + 18x - 70 = 0
Divide each side by 2 :    2x² + 9x - 35 = 0

You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________

That makes the deck 10 yds high and 9 yds wide.

Total area of the whole big rectangle, (deck + pool ), = 90 yds².

3 0

3 years ago

In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha

VLD [36.1K]

Answer: a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

$6!=720$

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

$^nC_r=\dfrac{n!}{(n-r)!r!}$

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

$^8P_3\\\\=336$

d) Number of 5-digit zip codes are possible is given by

$^{10}P_5=30240$

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

$^{10}C_3=120$

Hence, a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

6 0

3 years ago

What’s the answer to b,d,e and h PLEASE HELP!!! I’ll give you Brainly

Tomtit [17]

Answer:

b= 5/10

d= 24/100

e= 23/100

Step-by-step explanation:

Put them in a decimal, the you can find if it's in the 10ths place or 100ths place

5 0

3 years ago

A truck with a heavy load drove from Boston to New York at 50 mph. After dropping of the load, it returned from New York to Bost

vitfil [10]

Answer:

An average of 60mph.

Step-by-step explanation:

The average is the mean.

(50 + 70)/2 = 60

Please mark Brainliest if this helps!

5 0

3 years ago