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Sindrei [870]
3 years ago
12

a pizza parlor charges $1 for each vegetable topping and $2 for each meat topping. you want at least five different toppings on

your pizza. you have $10 to spend on toppings. which system of inequalities models this situation where v represents the number of vegetable toppings and m the meat toppings

Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

Step-by-step explanation:

Let v represents the number of vegetable toppings and m the meat toppings.

Since there must be at least five different toppings on your pizza, this can be represented by the inequality:

v + m ≥ 5

Also, the total amount of money available for the toppings is $10, and a pizza parlor charges $1 for each vegetable topping and $2 for each meat topping, this can be represented by the inequality:

v + 2m ≤ 10

Therefore the system of inequalities models this situation is:

v + m ≥ 5

v + 2m ≤ 10

v > 0, m > 0

Plotting the graph of v against m using geogebra graphing calculator produce the image attached below

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The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

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The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

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S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

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