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pishuonlain [190]
3 years ago
14

The perimeter of the triangle shown to the right is 338 meters. Find the length to each side

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

85

Step-by-step explanation:

If you add all the sides then add 2 (from the 4x-2) then you'll get 8x.

340/8=85

x=85

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Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

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When rounding to the nearest hundred, which of the following numbers round to 400?
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The answer is 423 since it's the closest number to 400 from all the numbers listed above.

The numbers 351 and 445 would also round to 400 but they are not the closest ones.


Hope it helped,


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