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Artemon [7]
1 year ago
8

5. Walker is reading a book that is 792 pages. He reads

Mathematics
1 answer:
masya89 [10]1 year ago
4 0
<h2>Forming Equations from Word Problems</h2>

To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

<h2>Solving the Question</h2>

<em>Let r represent the pages left to read.</em>

<em />

792 pages in total

  • ⇒ <em>r</em> = 792

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

  • There are 5 weekdays, and he reads 15 pages each of those days. ⇒ <em>r</em> = 792 - 5×15
  • There are 2 weekend days, and he reads 25 pages each of those days.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)

5 weeks have passed

  • Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)×5

<h2>Answer</h2>

<em>r</em> = 792 - (5×15 + 2×25)×5

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Answer:

  • <u><em>P = 0.40x + 0.50y</em></u>

Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.

Then:

  • using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

  • using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

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That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

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5 0
3 years ago
The Buffalo Bills football team wanted to buy new footballs for their practice. They got a discount and had to pay $42 per 6 foo
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Answer:

B. -4

Step-by-step explanation:

We want to find x such that f(x)=18.

We need to therefore solve 9x+54=18 forx.

9x+54=18

Divide both sides by 9:

(9x+54)/9=18/9

9x/9+54/9=18/9

Simplify:

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Subtract 6 on both sides:

x=2-6

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Let's check.

f(x)=9x+54

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