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kodGreya
8 days ago
6

Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let

x represent the price per pound for grapefruit, and let y represent the price per pound for oranges. Choose the system of equations that models the situation.
Mathematics
1 answer:
Inessa [12.5K]8 days ago
8 0
Let "x" represent the price per pound for grapefruit, and "y" for oranges. Steve purchases 2 pounds of grapefruit and 3 of oranges for $7.20. This implies that the total of the products of x and y equals $7.20, leading us to formulate this equation: Additionally, Kennedy acquires 4 pounds of grapefruit and 2 pounds of oranges for $8.80. This indicates that the total of the products of x and y is $8.80, allowing us to construct this equation as well: Consequently, we arrive at the system of equations that represents the situation.
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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
lawyer [12517]

Response:

\frac{f}{g}(5) = 270 ⇒ Previous solution

Detailed breakdown:

* Given f(x) = 7 + 4x

* Given g(x) = \frac{1}{2x}

* We aim to determine \frac{f}{g}(5)

- Initially, let’s calculate \frac{f}{g}(x)

∵ f(x) = 7 + 4x

∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Let’s perform division of the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

- Now we will change the division sign to a multiplication sign and take the reciprocal of

the fraction following the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

- Next, substitute x with 5

∴ \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴ \frac{f}{g}(5) = 270

4 0
8 days ago
Read 2 more answers
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In this scenario, the buying price decreases with a higher purchase quantity. However, the markup for the retail price remains steady at 80% of the buying cost. If we denote the price as x, then the retail price can be expressed as:
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Retail price= x * 180%=
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The equation remains consistent across different ranges since the markup ratio is constant. Only the buying price varies depending on how many pairs of shoes are bought. 
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tester [12383]

Answer:

12 pencils per package.

Step-by-step explanation:

Details provided:

Ethan purchased 4 packages of pencils.

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4 0
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