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telo118 [61]
2 years ago
9

Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 11 minutes to fill the swimm

ing pool with 99 gallons of water. At what rate does the swimming pool fill, in gallons per minute?
Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

11 \: minutes = 99 \: gallons \\ 1 \: minute =  (\frac{1 \times 99}{11} ) \: gallons \\  = 9 \: gallos \: per \: minute

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8 0
3 years ago
2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.
kaheart [24]

Answer:

x=17

Step-by-step explanation:

2x+3y=1

y=-2-9

  • In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, y. In this case, we need to isolate y in the first equation so that both equations =y.

2x+3y=1

3y=-2x+1

\frac{3y}{3}=\frac{-2x+1}{3}

y=-\frac{2}{3}x+\frac{1}{3}

  • With this, we now know that both -2-9 and -\frac{2}{3}x+\frac{1}{3} are equal to y, so we can set them equal to each other.

y=-\frac{2}{3}x+\frac{1}{3}

y=-11

-\frac{2}{3}x+\frac{1}{3}=-11

  • Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for x.

-\frac{2}{3}x+\frac{1}{3}=-11

-\frac{2}{3}x=-11-\frac{1}{3}

-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}

-\frac{2}{3}x =-\frac{34}{3}

-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})

x=\frac{102}{6}=17

x=17

  • Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

 

4 0
3 years ago
Evaluate 5 + b ÷ (11 - 9) for b = 14.
Trava [24]

Answer:

12

Step-by-step explanation:

5 + b ÷ (11 - 9)

Substitute b = 14

5 + 14 ÷ (11 - 9)

Work the order of operations from left to right

Since there are no exponents, parentheses first

5 + 14 ÷ (11 - 9)

5+14  ÷ 2

Then division

5+7

Then addition

12

8 0
3 years ago
Read 2 more answers
Naomi is doing a report about the 1900 and 1904 olympic games. Each page will contain information about 4 of the countries that
hammer [34]

Answer:

The correct answer is the equation stands as 4x =40 where x is the number of pages Naomi would require and the value of this x is 10.

Step-by-step explanation:

Number of countries that competed in 1900 summer Olympic games is 28.

Number of countries that competed in 1904 summer Olympic games is 12.

Total number of countries competed in total is 40.

Each page of Naomi's report contains  information about 4 of the countries that competed each year.

Let Naomi need x number of pages to incorporate the whole report.

Thus the equation now stands as 4 × x = 40.

⇒ x = 10.

Thus Naomi would require 10 pages to complete her report.

8 0
3 years ago
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