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andrey2020 [161]
3 years ago
9

At Renaldi's Pizza, A soda and two slices of the pizza of the day cost $10.25. A soda and four slices of the pizza day cost $18.

75. Find the cost of each item.
Mathematics
1 answer:
Natali [406]3 years ago
6 0

Given:

A soda and two slices of the pizza of the day cost $10.25.

A soda and four slices of the pizza day cost $18.75.

To find:

The cost of each item.

Solution:

Let x be the cost of a soda and y be the cost of each slice of the pizza.

A soda and two slices of the pizza of the day cost $10.25.

x+2y=10.25           ...(i)

A soda and four slices of the pizza day cost $18.75.

x+4y=18.75           ...(ii)

Subtracting (i) from (ii), we get

x+4y-x-2y=18.75-10.25

2y=8.50

y=\dfrac{8.50}{2}

y=4.25

Putting y=4.25 in (i), we get

x+2(4.25)=10.25

x+8.50=10.25

x=10.25-8.50

x=1.75

Therefore, the cost of each soda is $1.75 and the cost of each slice of pizza is $4.25.

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The population of a certain species of insects increases exponentially according to the model, P(0) = 952e0.12t where P is the n
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Answer:

A) 952 insects are in the original colony

B) 10494 insects are in the colony after 20 weeks

C) 25 weeks

Explanations:

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P(t)=952e^{0.12t}

An exponential growth is of the form:

P(t)=P_0e^{kt}

where P₀ is the original population

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Comparing the two equations:

P_0=\text{ 952}

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Substituting t = 20 into the function given

\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}

C) If the population, P = 20000

\begin{gathered} 20000=952e^{0.12t} \\ e^{0.12t}=\text{ }\frac{20000}{952} \\ e^{0.12t}=21.008 \\ 0.12t\text{ = ln(21.008)} \\ 0.12t\text{ = }3.04 \\ t\text{ = }\frac{3.04}{0.12} \\ t\text{ = }25 \end{gathered}

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Answer:

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Here, the graph goes through grid intersections such that 1 to the right is 1 down. The "rise" is -1 for a "run" of 1, and the slop (gradient) is ...

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