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Sauron [17]
2 years ago
8

Mr. Harris works in a pet store. The number of food pellets he puts in an aquarium is proportional to the number of fish in the

aquarium. He puts 20 food pellets in an aquarium containing 4 fish. Which equation shows the relationship between the number of pellets, p, and the number of fish, f?
Mathematics
1 answer:
Elis [28]2 years ago
8 0

Answer:

5 pellets per fish

Step-by-step explanation:

5 p = 1 f

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Would the scale factor 4.2 enlarge,reduce,or preserve
Juli2301 [7.4K]

Hey there! I'm happy to help!

Let's look at what scale factors would be able to enlarge, reduce, and preserve first. We will use the point (1,1) as an example.

ENLARGE

When we talk about scale factors, both of our numbers of the ordered pair will be multiplied by that number. To make it bigger, we will multiply it by anything larger than a one, we could have a scale factor such as 2, 100, 579395. etc.!

Dilation of 2

(1,1)⇒(2,2)

REDUCE

To reduce our ordered pair, our scale factor must be a number greater than zero but less than one because it cannot switch quadrants, which is what would happen if we used negative numbers. Our reduced number must be greater than zero. We can use 1/2, 1/4, 1/100, 0.67 etc.

Dilation of 1/2

(1,1)⇒(0.5,0.5)

PRESERVE

What would we multiply an ordered pair by to make it stay the same? One of course! This is the only number that will keep it the same!

Dilation of 1

(1,1)⇒(1,1)

Now, let's think of any scale factor as X and see what rules it has to follow to be enlarging, reducing, or preserving.

ENLARGING SCALE FACTOR: X>1

REDUCING SCALE FACTOR: 0<X<1

PRESERVING SCALE FACTOR: X=1

So, where does 4.2 fall? Well, as you can see, 4.2 is greater than one, so this scale factor would make our point larger.

Therefore, 4.2 would enlarge.

I hope that this helps! Have a wonderful day!

8 0
3 years ago
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water
Simora [160]

Answer:

1356cm3

Step-by-step explanation:

when the stone is dropped in to the water the new height is 17.4cm(14+3.4)

find the volume when the height is 14cm and when the height is 17.4cm

24*14*17.4=4716

24*14*14=3360

then subtract the two volumes

4716-3360=1356cm3

4 0
3 years ago
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What is 20 more than f
timurjin [86]
This phrase can be written as 20 + f.

So, 20 + f is the answer.
6 0
3 years ago
Read 2 more answers
Which of the following best describes the best equation below?
KIM [24]

Answer:

Not Linear

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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Area = (22/7)×12²

= 3.143*144

= 452.592 ft²

≈ 453 ft²

5 0
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