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victus00 [196]
4 years ago
15

Please show all the working out.

Mathematics
1 answer:
Elanso [62]4 years ago
4 0
11/26 chance that the student plays both instruments.

First, add the amount of students that just play flute or piano:

3 + 5 = 8

Then add 8 to the amount that does not play either instrument:

8 + 7 = 15

Then do:

26 - 15 = 11

Then place 11 over the amount of people:

11/26
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15 + (5-x)/x=30 solve for x
elixir [45]

Answer:

5/16

Step-by-step explanation:

15+(5-x)/x=30

1) Subtract 15 from both sides:

(5-x)/x=15

2) Multiply both sides by x:

5-x=15x

3) Add x to both sides:

16x=5

4) Divide both sides by 16:

x=5/16

8 0
3 years ago
PLEASE HELP ASAP! NO SCAMS!
pshichka [43]

Answer:

Step-by-step explanation:

Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:

M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1) So the "new" line will go through this point.

Onto the slope:

m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}so the slope is

m = -4. That means that the perpendicular slope is

m=\frac{1}{4} Now we're ready to write the equation:

y-5=\frac{1}{4}(x-3) and

y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4} and finally,

y=\frac{1}{4}x+\frac{17}{4}

3 0
3 years ago
Read 2 more answers
Select the correct answer.
svet-max [94.6K]

9514 1404 393

Answer:

  C.  y = 50x + 3.5

Step-by-step explanation:

100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...

  y = 50x +3.5 . . . matches choice C

4 0
3 years ago
What is the slope-intercept from equation of the line that passes through (5,7)and(8,22)?
elena55 [62]

y=5X+32

I hope this helps!

6 0
3 years ago
Samantha draws a hopscotch diagram on the sidewalk in front of her house.The diagram is 10 feet long.Her neighbor asks her to dr
horrorfan [7]
2/5. The answer is 2/5 since 4/10 in simplest form is 2/5
5 0
3 years ago
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