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Arlecino [84]
3 years ago
9

Help plz:)))I’ll mark u Brainliest

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

x=12 Proportion should be 1 2/3

Step-by-step explanation:

To find PT, subtract 26 from 65= 39

26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3

30/(4x-3)=2/3 (Cross Multiply)

30*3=90

2(4x-3)=8x-6

8x-6=90 (Add 6 to both sides)

8x=96 (Divide 8 from both sides)

x=12

QT is equal to 4(12)-3=45

RT is 75

Proportion: 65/39=1 2/3

75/45=1 2/3

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Nicole has 16 nickels and dimes. If the value of her coins is 1.05, how many of each coin does she have?
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Answer:

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Step-by-step explanation:

If all were dimes, she would have $1.60, which is $0.55 more than she actually has. Replacing a dime with a nickel reduces the total by .05, so there must be .55/.05 = 11 such replacements. This is the number of nickels. The number of dimes makes up the rest of the 16 coins.

Nicole has 11 nickels and 5 dimes.

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You can write equations for this several ways. My personal favorite is to use a single variable to represent the number of highest-value coin: d = number of dimes. Then the number of nickels is 16-d and the total value is ...

  0.10d + 0.05(16 -d) = 1.05

  0.05d + 0.80 = 1.05 . . . eliminate parentheses, collect terms

  0.05d = 0.25 . . . . . . . . . subtract 0.80

  d = 0.25/0.05 = 5 . . . . . number of dimes

  16-d = 16-5 = 11 . . . . . . . .number of nickels

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If you let the variable match the number of nickels, the solution looks a lot like the one described in words, above.

  0.05n + 0.10(16 -n) = 1.05

  -0.05n +1.60 = 1.05

  -0.05n = -0.55 . . . . . . . subtract 1.60

  n = -0.55/-0.05 = 11 . . . number of nickels

  16-n = 16-11 = 5 . . . . . . . number of dimes

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Comparing these two solutions, you see that we work with negative numbers in the second solution. The reason for choosing the variable to represent the higher-value coin is to keep the numbers positive, as they are in the first solution. (It's no big deal, if you're not bothered by negative number arithmetic.)

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I think the correct answer from the choices listed above is the second option. The conclusion saying playing violin causes students to get better grades is a reasonable conclusion. This is because the correlation coefficient is above 0.5, so that implies causation. Hope this answers the question.
 
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