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Svetlanka [38]
4 years ago
10

It takes a hose 3 minutes to fill a rectangular aquarium 9 inches long, 13 inches wide, and 14 inches tall. How long will it tak

e the same hose to fill an aquarium measuring 21 inches by 25 inches by 35 inches?
how many minutes does it take?
Mathematics
2 answers:
____ [38]4 years ago
8 0

Answer: 33.6 min

Step-by-step explanation:

Volume = L*W*H = 9 * 13 * 14 = 1638 in^3

Vol2 = 21 * 25 *35 = 18375 in^3

18375/1638 = 11.2 times bigger, so 3min * 11.2 = 33.6 minutes

lidiya [134]4 years ago
4 0

Answer:it will take 33.65 minutes

Step-by-step explanation:

It takes a hose 3 minutes to fill a rectangular aquarium 9 inches long, 13 inches wide, and 14 inches tall. The volume of the rectangular aquarium is

Length × Width × Height.

It becomes

9 × 13 × 14 = 1638 inches^3

Therefore, it takes the hose 3 minutes to fill 1638 inches ^3

The volume of the aquarium measuring 21 inches by 25 inches by 35 inches would be

21 × 25 × 35 = 18375 inches^3

Therefore, the number of minutes it takes to fill 18375 inches^3 would be

3 × 18375 / 1638 = 33.65 minutes

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8 0
3 years ago
On Monday, Harold picked up three donuts and two large coffees for the office staff. He paid $3.94. On Tuesday, Melinda picked u
Pachacha [2.7K]
First things first, write the equations!
- Word problems can be intimidating because of all information given, so all you need to focus on, is the information about the variables you are solving, everything else, like the story line is irrelevant!
- Writing Equations from Word Problems:
pull the good stuff (information about the variables) so you can see the information needed, without having to mess your brain up with a bunch of irrelivance!

Equation 1:
3 donuts and 2 coffees is $3.94
Equation 2:
2 donuts and 6 coffees is $7.20

Now it is simply reading the equation...
Knowing these "terms" when writing Equations from a word problem is VERY IMPORTANT;
IS: =
and, more than, etc: +
less than, etc: -

Knowing the terms makes Writing the Equations THE EASIEST PART! Most of the time students get these problems wrong because of wrong equations!
So Equation 1 IS ( = ) ;)
3 Donut + 2 Coffee = 3.94
Equation 2:
2 donut + 6 coffee = 7.20

Now, to make things simple I personally find it easier to "let Donuts = d" and "let Coffee = c"

so...
3d + 2c = 3.94
2d + 6c = 7.20

in order to solve, we have to ELIMINATE one of the variables by making one of them equal 0.
I chose to eliminate c by multiplying the first equation by 3.
3 (3d + 2c = 3.94)
--> 9d + 6c = 3.94
and then the 2nd equation by -1
-1 (2d + 6c = 7.20)
---> -2d + -6c = -7.20
9d + 6c = 11.82
-2d + -6c = -7.20
--- Now we can add the 2 equations, doing so will cancel out c!
9d + 6c = 11.82
+
-2d + -6c = -7.20
= 7d + 0c = 4.62
= 7d = 4.62
now it is simple algebra to figure out d!
- you want to get d by itself so we need to get rid of the 7 and take it to the other side by division!
so-- 7d/7 = 4.62/7
= d = .66
Now that we know d, we just plug it into the original equations to find c!
- you can choose either one to plug it intl , but I chose equation 2:
2(.66) + 6c = 7.20
* MUST DO ORDER OF OPERATIONS- PEMDAS (parentheses, exponemts, multiplication, division, addition and then lastly subtraction)
so first we multiply 2 and .66
1.32 + 6c = 7.20
Now we want to get c by itself, so we subtract 1.32 by both sides-
6c = 5.88
now divide to get c
c = .98
ALWAYS CHECK
BOTH
EQUATIONS AFTER FINDING THE VARIABLES TO ENSURE YOU HAVE THE CORRECT ANSWER (:

I hope that helped (:
7 0
3 years ago
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