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worty [1.4K]
2 years ago
6

Paula wants to add some more tropical fish to her aquarium. She wants to buy some Blue Gouramis, which cost $2.50 each, and some

Clown Loaches, which cost $5.50 each. She has room for only 6 more fish and she has $24.00 to spend. How many of each kind of fish can she buy?
Let the number of Blue Gouramis be represented by b and the number of Clown Loaches be represented by c . Write the two equations for the system. The first equation will deal with the number of fish. The second one will deal with cost.
Mathematics
1 answer:
ioda2 years ago
3 0

Answer: she can buy 3 Blue Gouramis and 3 Clown Loaches.

Step-by-step explanation:

Let b represent the number of Blue Gouramis that she can buy.

Let c represent the number of Clown Loaches that she can buy.

She has room for only 6 more fishes. It means that

b + c = 6

She wants to buy some Blue Gouramis, which cost $2.50 each, and some Clown Loaches, which cost $5.50 each. She has $24.00 to spend. It means that

2.5b + 5.5c = 24- - - - - - - - - - - -1

Substituting b = 6 - c into equation 1, it becomes

2.5(6 - c) + 5.5c = 24

15 - 2.5c + 5.5c = 24

- 2.5c + 5.5c = 24 - 15

3c = 9

c = 9/3 = 3

b = 6 - c = 6 - 3

b = 3

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8 0
1 year ago
Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum dista
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Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Step-by-step explanation:

Hi, to answer this question we have to solve the given equation: |x – 500| = 8.

The modulus can take a positive value (x - 500) or a negative value (-x+500).

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x -500 = 8

x = 8+500

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  • <em>For the negative value: </em>

- (x -500) =8

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492 =x

So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Feel free to ask for more if needed or if you did not understand something.

5 0
1 year ago
Today, Reza ate 20 grapes, which was 400% as many grapes as he ate yesterday. Explain how to use equivalent ratios to find the n
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2 years ago
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Answer:

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Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

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From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

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Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

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Hope this helps ʕ•ᴥ•ʔ
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