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Iteru [2.4K]
3 years ago
12

Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 9 minutes to fill the swimmi

ng pool with 81 gallons of water. At what rate does the swimming pool fill, in gallons per minute?
Mathematics
2 answers:
PtichkaEL [24]3 years ago
8 0

Answer:

9

Step-by-step explanation:

81 gallons per 9 minutes

This can be thought of as a fraction:

\frac{81gallons}{9 minutes}

divide the top and bottom of the fraction by 9 to make the bottom 1

\frac{9 gallons}{1 minute}

remove the gallons per minute to a separate fraction

9 \frac{gallons}{minute}

alexdok [17]3 years ago
8 0

Answer:

It takes 9min

Step-by-step explanation:

9min:8g

 ÷9  ÷9

1min:9g

The swimming pool fills at 9 gallons per minute.

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Hi can anyone help please?! What two products do you get when you cross-multiply the fractions 2/5 and 3/8?
IceJOKER [234]

Answer:

I think C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How
Scorpion4ik [409]

let's check how much is it after 2 years firstly.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275


Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}


\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}

4 0
3 years ago
the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers
Serjik [45]

Answer: 30.5 and 35.5

Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

x=y+5

x+y=66

Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

7 0
4 years ago
On a map 0.5=75 miles the distance between two cities is 2.75 inches.Find the actual distance between the cities
Sedaia [141]

Answer:

412.5 miles

Step-by-step explanation:

1) 2.75/0.5=5.5

2)5.5x75=412.5

7 0
3 years ago
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