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SIZIF [17.4K]
3 years ago
15

A 45-foot length of wire is to be cut into 2 pieces, so that the longer piece is three feet longer than five times the shorter p

iece. find the length of each piece.
Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Hey there !

Let us take the length of the shorter piece as ' x '

Then, the longer piece would be ' 3 + 5x '

Total = 45

x +  5x + 3 = 45

6x + 3 = 45

Subtracting 3 on both sides

6x = 42

dividing by 6 on both sides

x = 7

shorter wire = 7 ft

longer = 45 - 7

=  38 ft

Hope my answer helps!

wlad13 [49]3 years ago
5 0

Long piece:  5x + 3

Short piece: x

Long   + Short = Total

5x + 3 +    x     = 45

6x + 3 = 45

6x = 42

x = 7

Long piece:  5x + 3   = 5(7) + 3   = 35 + 3   = 38

Answer: short = 7 ft, long = 38 ft

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Answer: here is an example in the screenshot

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3 years ago
The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
lisabon 2012 [21]

Answer:  The speed of the motorboat is 70 miles per hour

Step-by-step explanation:  Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

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7 0
3 years ago
How would i calculate 1.9 minus 11/12?
Genrish500 [490]
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= 19/10

step 2) find a least common denominator between 10 and 12.

= 60
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step 3) convert the fractions so they have the same denominator.

= 19x6 is 114.
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= 11x5 is 55.
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now you have your new fractions.

step 4) subtract.

= 114/60 - 55/60 is 59/60.

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3 years ago
Graph the first six terms of a sequence where a1=5 and r=1.25
emmainna [20.7K]
The sequence above is geometric progression. 
The nth term of such sequence is given by;

Tn = ar∧(n-1),
Where a⇒first term and
            r⇒common ratio

So, 1st term = 5×1.25∧(1-1) = 5×1.25∧0 =5 
      2nd term = 5×1.25∧(2-1) = 5×1.25 = 6.25
      3rd term = 5×1.25∧(3-1) = 5×1.25² = 7.8125
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