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Rufina [12.5K]
2 years ago
13

Solve the equation for a K = 4a + 9ab

Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

Answer:

K/(4+9b) = a

Step-by-step explanation:

K = 4a + 9ab

Factor out a on the right hand side

K = a(4 + 9b)

Divide each side by (4+9b)

K/(4+9b) = a(4 + 9b)/(4+9b)

K/(4+9b) = a

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It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 13 inches tall. How long will it take
nirvana33 [79]
To make it easier, you calculate the volume of the first aquarium.

1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches

Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
 
2nd aquarium's rate:
18,270 in./39 min.

As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
7 0
3 years ago
How much interest is earned on $250 at 10% for five years
djyliett [7]
$154.63

Year 1: $25
Year 2: $27.5
Year 3: $30.25
Year 4: $33.28
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3 0
3 years ago
What is the solution to 3x + 2.4 ≥ 3.0​
vichka [17]
3x _> 3.0 - 2.4
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Answer:

Step-by-step explanation:

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2 years ago
The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
12345 [234]
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex

therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6


A is ansre

5 0
3 years ago
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