First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.
At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.
circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm
Now if it turns 16 times we'll have 16 times the circumference.
16 * (25.133 cm)
= 402.128 cm
Answer:
x=3 and y=1
Step-by-step explanation:
subtract equation 2 from 1
then (2x+3y) -(2x+y) =9-7
2x-2x+3y-y =2
2y=2 therefore y=1
substitute y value in 2x+y=7
2x+1=7
2x=7-1
2x=6
x=3
Answer:
Just use m a t h w a y for the answer
Step-by-step explanation:
Thank me later,or dont thank me at all
Answer:
5x=55
Divide both sides by 5 to solve for x
5x/5=55/5
x=11
Answers:
- Total amount of money = 220 dollars
- Amount Farah gets = 100 dollars
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Explanation:
- F = amount Farah gets
- S = amount Shaiyara gets
- Z = amount Zahin gets
The money is divided in the ratio 10:7:5
This means that
for some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
- F = 10x = 10*10 = 100
- S = 7x = 7*10 = 70
- Z = 5x = 5*10 = 50
The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
