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jeyben [28]
3 years ago
15

Richard practiced each of 3 piano solos for 5/12 hour. how long did he practice in all?

Mathematics
1 answer:
maksim [4K]3 years ago
5 0
You are given Richard’s piano practice for 3 piano solos. Every piano sol he makes takes 5/12 hour. You are asked to find how long Richard is going to practice his piano solo. So we have for every 1 piano solo he makes this is equal to 5/12 hours. This can be best represented by ratio and proportion.  

1 piano solo/(5/12 hour) = 3 piano solo/(number of hours)
Number of hours = 3 piano solo/ (1 piano solo/5/12 hours)
<u>Number of hours = 5/4 hours or 1.25 hours.</u>
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6 0
3 years ago
The perimeter of a rectangle is 60 m and its length is twice its width. find the length of the rectangle
GREYUIT [131]
Length = 2W

P= 2L + 2W
60 = 2(2W) + 2W
60= 4W +2W
60 = 6W
60/6W = 6W/6W
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Length = 20

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4 0
2 years ago
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Fed [463]

Answer:   y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

  • Shift 4 units to the right
  • Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0
3 years ago
What is the distance between these end points (6,2) (1,14) show work
vodka [1.7K]

Answer:

13

Step-by-step explanation:

Distance between two points =  

√ ( 1 − 6 ) 2 + ( 14 − 2 ) 2  =

√ ( − 5 ) 2 + 12 2 =  

√ 25 + 144 =

√ 169

= 13

6 0
3 years ago
The area of a rectangular deck can be modeled by f(x) = 2x3 + 30x2 – 6x – 90. If x + 15 represents the width, which expression r
zhannawk [14.2K]
Divide f(x) by x + 15

this comes to 2x^2 - 6  which represents the length
4 0
3 years ago
Read 2 more answers
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