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pshichka [43]
3 years ago
10

Fractional linear equations 10= 3 over 5 (x+5)

Mathematics
1 answer:
vitfil [10]3 years ago
5 0
At first glance I believe you meant   10 = (3/5)(x+5).  It's important that you share the instructions for each problem you post; I assume they state:  "solve the following fractional linear equation for x."

Here are two approaches.  Take your pick.
1) Distribute the multiplier (3/5) over (x+5).  Resulting equation is

10=(3/5)x + 3.  Subtr. 3 from both sides:  7=(3/5)x.  Mult both sides by (5/3).  Result:  (35/3)=x.

2) Mult. the original equation by 5 to remove fractions:  50=3(x+5).  Multiply out 3(x+5), to obtain 50=3x +15.  Subtr. 15 from both sides.  Result:
35=3x.  Divide both sides by 3.
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Answer:

7) circumference = 11.78 ft

8) arc NMP = 198° or 27.63 ft

Step-by-step explanation:

7) circumference = πd = (3.14) (3 3/4) = 11.78 ft

8) radius = 8 ft

diameter = 2 x 8 = 16 ft

arc NM + arc QP = 360° - 162° - 162° = 36°

arc NM = arc QP because they are arcs of vertical angles.

arc QP = 18°

arc NMQ = 180°

arc NMP = 180° + 18° = 198°

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