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svetoff [14.1K]
3 years ago
6

Which expression could be used to solve this problem? Bart practices piano every day. First he practices songs for 20 minutes. T

hen he practices scales for 15 minutes. How much time does Bart practice piano in 3 days? A. 3 × (20 – 15) B. 20 × (15 + 3) C. 3 × (20 + 15) D. 20 × (15 – 3)
Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0
The answer would be C since he practices for a total of 35 or 20+15 minutes for 3 days
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The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul
kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

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\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

6 0
3 years ago
Miss larner had a bowl of jolly ranchers sitting on her desk. One day sean decided to grab a handful of the candies and took 1/3
soldier1979 [14.2K]

Answer: 36 candies were in the bowl when the day started

Step-by-step explanation:

Let x represent the number of candies in the bowl initially.

One day sean decided to grab a handful of the candies and took 1/3 of the candies. This means that Sean took x/3 candies. Number of candies left would be x - x/3 = 2x/3.

Since he decided to return 4 of them, the remaining number of candies would be

2x/3 + 4 = (2x + 12)/3

Tracy also helped herself and took 1/4 of the candies in the bowl. This means that she took

1/4(2x + 12)/3 = (2x + 12)/12

The number of candies left would be (2x + 12)/3 - (2x + 12)/12

= 4(2x + 12) - (2x + 12)/12 = (8x + 48 - 2x - 12)/12 = (10x - 36)/12

Since she put down 3, the number remaining would be

(10x - 36)/12 + 3 = (10x - 36 + 36)/12 = 10x/12

Eugene grabbed 1/2 of the candies in the bowl. This means that he took

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The amount remaining is

(10x)/12 - (10x)/24 = [2(10x) - 10x)]/24

= [20x - 10x]/24 = 10x/24

He put those two back. It means that amount left would be

(10x)/24 + 2

At the end of the day, there are 17 candies left. This means that

10x/24 + 2 = 17

10x/24 = 17 - 2 = 15

10x = 24×15 = 360

x = 360/10 = 36

4 0
3 years ago
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