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liubo4ka [24]
2 years ago
5

The table shows the number of cups of flour, f, that a bakery needs for the number of pound cakes that they make, p. 3 6 9 14 Po

und Cakes, P Cups of Flour, f 8.25 16.5 24.75​
Mathematics
1 answer:
Mumz [18]2 years ago
4 0

Ok.

3 8.25

6 16.5

9 24.75

14

8.25/3=2.75

14*2.75=

<h2><u><em>38.5</em></u></h2>

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Suppose f(x) is a function which satisfies f'(3) = 0,f'(5) = 0, f"(3) = -4, and f"(5) = 5.
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John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i
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Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

4x+2y=222

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

2x+3y=213

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0
3 years ago
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B

Step-by-step explanation:

just because :)

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3 years ago
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 50% hydrochloric acid solution. How many liters of each sh
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Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
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  0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
  0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
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Theresa should mix ...
  105 liters of 30% solution
  315 liters of 50% solution
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