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Stels [109]
3 years ago
5

The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

Show your work.
Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

The aquarium has 3 more yellow fish than green fish.

60% of the fish are yellow.

To find:

How many green fish are in the aquarium?

Step-by-step explanation:

Let there be x number of fish in the aquarium.

60% of the fish are yellow.

So there are 60x/100 = 3x/5 yellow fish.

Then (100 - 60)% = 40% fish are green.

So there are 40x/100 = 2x/5 green fish.

Given that, there are 3 more yellow fish than green fish

⇒ 3x/5 = 2x/5 + 3

⇒ 3x/5 = (2x + 15)/5

⇒ 3x = 2x + 15

⇒ 3x - 2x = 15

⇒ x = 15

Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6

Answer:

There are 6 green fish in the aquarium.

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Scott took out a 4-year car loan for $5,500. He paid back a total of $7,370. What interest rate did he pay for this loan?
elena-14-01-66 [18.8K]
Amount of car loan taken by Scott = $5500
Amount of loan paid back by Scott = $7370
Then
Amount of money paid as interest by Scott = (7370 - 5500) dollars
                                                                     = 1870 dollars
Then
Percentage of interest given for the car loan = (1870/5500) * 100
                                                                       = 1870/55
                                                                       = 34 percent
So Scott had to pay a total interest rate of 34% in the four years.I hope the procedure is simple enough for you to understand and solve future problems.
7 0
3 years ago
What is the measure of n?
horsena [70]

The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We can use the altitude rule:

8/n = n/4

n² = 32

n = √32

Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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8 0
2 years ago
Does -2(z+3)-z=-z-4(z+2) have one,zero or infinite solutions
Andrew [12]

Hello from MrBillDoesMath!

Answer:

One solution (z = -1)

Discussion:

-2(z+3)-z=-z-4(z+2)        =>

-2z -6 -z = -z -4z - 8       =>

-3z -6 = -5z -8                =>  add 6 to both sides

-2z = -5z -2                     => add 5z to both sides

3z = -5z +5z -3               =>

3z = -3                            =>

z = -1

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18-23(if you want) I don’t understand what do, please help!
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Answer:

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Read 2 more answers
The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

  so that, tan 52 = 45/x

  x = 45/tan52

  x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

 tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

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