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sergejj [24]
3 years ago
6

I have 25 coins in my pocket all of which are 5 penny or 20 penny coins. if their total value is 2.90 pounds how many penny coin

s do I have?
Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

  • 14 coins of 5p
  • 11 coins of 20p

Step-by-step explanation:

<u>Given</u>

  • 5p coins = x
  • 20p coins = y
  • Total = 2.90 = 290 p
  • Number of coins = 25

<u>Equations</u>

  • x + y = 25
  • 5x + 20y = 290 ⇒ x + 4y = 58

<u>Consider the first equation in the second one</u>

  • x + y + 3y = 58
  • 25 + 3y = 58
  • 3y = 33
  • y = 11

<u>Then x is</u>

  • x = 25 - 11 = 14

<u>Answer</u>

  • 14 off 5p coins and 11 off 20p coins
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List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°
scoray [572]
The given angles are 
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
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-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

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