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mafiozo [28]
2 years ago
9

Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of

$41.73.Danielle bought 3 turquoise guppies and 5 Sunburst tetra GLO fish for a total of $56.02. how much was 1 turquoise guppy?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
5 0

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

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SO the suit cost $95 and it has a discount of 10%
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Which expressions are equivalent to R16? Check all that apply.
Ilya [14]

Option C:  (6^{-4})^{-4}

Option D:  (6^{-2})^{-8}

Option F:  (6^8)^2

Solution:

Given expression: 6^{16}

To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: \left(a^{b}\right)^{c}=a^{b c}

Option A: (6^{0})^{16}

(6^{0})^{16}=6^{0 \times 16}= 6^0

It is not equivalent expression.

Option B: (6^8)^8

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It is not equivalent expression.

Option C:  (6^{-4})^{-4}

(6^{-4})^{-4}=6^{(-4 )\times (-4)}= 6^{16}

It is equivalent expression for the given expression.

Option D:  (6^{-2})^{-8}

(6^{-2})^{-8}=6^{(-2) \times (-8)}= 6^{16}

It is equivalent expression for the given expression.

Option E:  (6^{-1})^{16}

(6^{-1})^{16}=6^{(-1) \times 16}= 6^{-16}

It is not equivalent expression.

Option F:  (6^8)^2

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It is equivalent expression for the given expression.

Hence (6^{-4})^{-4}, \ (6^{-2})^{-8}, \ (6^8)^2 are the equivalent expressions.

Option C, Option D and Option F are correct answers.

6 0
2 years ago
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