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erik [133]
3 years ago
12

Find the circumcenter of the triangle ABC.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0
Triangle circumcenter
(-0.5,-2)

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A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each b
Softa [21]

Answer:

  • 7 $5 bills
  • 10 $1 bills

Step-by-step explanation:

If we take out the extra $3, we can group the bills into one each of $5 and $1, for a value of $6. There will be 7 such groups in the remaining $42.

That means there are 7 bills of the $5 denomination, and 3 more than that (10 bills) of the $1 denomination.

There are 7 $5 bills and 10 $1 bills.

_____

If you want to write an equation, it is usually best to let a variable stand for the most-valuable contributor. Here, we can let x represent then number of $5 bills. Then the value of the cash box is ...

  5x +(x+3) = 45

  6x = 42 . . . . . . . . subtract 3, collect terms

  x = 7 . . . . . . . . . . . there are 7 $5 bills

  x+3 = 10 . . . . . . . . there are 10 $1 bills

You may notice that this working parallels the verbal description above. (After we subtract $3, x is the number of $6 groups.)

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3 years ago
Ten cards are numbered 1 through 10 are all mixed together and one card is drawn. Find the probability of selecting a 3. ​
garik1379 [7]

the probability of selecting a 3 is 1/10

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3 years ago
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon.
Zigmanuir [339]
I hope this helps you


Brandon x


Michael 3x


18 years ago


Brandon x-18


Michael 3x-18


9 (x-18)=3x-18


9x-9.18=3x-18

9x-3x=9.18-18

6x=8.18

x=8.3

x= 24
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D 24 do order of operations perenthesis, exponents, multiplication or division, addition or subtraction

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