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Arada [10]
3 years ago
10

Tell wether the sequence is arithmetic. If it is identity the common difference. 19,8,-3,-14

Mathematics
1 answer:
irakobra [83]3 years ago
8 0
This is an arithmetic the common difference is 11.
so 19-11 is 8
8-11 is 3 etc...
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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:

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  • 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

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

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<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

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  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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X/7- y/5=1 solve for y
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Answer:

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X/7- y/5=1

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Divide each side by -7

-7y/-7 = -5x/-7 +35/-7

y = 5/7 x -5

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