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bixtya [17]
2 years ago
12

2

Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

9514 1404 393

Answer:

  • 14 nickels
  • 6 dimes

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.

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An 18 pound turkey cooks for 4.5 hours. How long will it take for a 12 pound turkey to cook?
OverLord2011 [107]

Answer:

3 hours

Step-by-step explanation:

We can solve using ratios

18 lbs            12 lbs

------------ = --------------

4.5 hrs          x hours

Using cross products

18x = 12 * 4.5

18x = 54

Divide by 18

18x/18 = 54/18

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6 0
3 years ago
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Simplify: (6x + 8) − (x + 4)
Rasek [7]

Answer:

5x+4

Step-by-step explanation:

6x+8-x-4

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3 0
3 years ago
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There were 25 adults and 15 children at a restaurant. what percent of the people were children?
Arada [10]

Answer:

37.5 percent

Step-by-step explanation:

Well, there are 25+15=40 total people. Since there are 15 children, the percent is 15/40, which is equal to .375

Because percent is by hundredths, multiply by 100 by moving the decimal to the right twice, and you have a percentage of 37.5.

7 0
3 years ago
Who is faster? A girl who runs 200 meters in 28 seconds or her friend who runs 400 meters in 60 seconds? H.E.L.P​
blagie [28]

Answer: The girl herself ran faster than her friend.

Step-by-step explanation:

This answer, of course assumes a lot of variables, but for the sake of keeping things simple, lets assume the following, the people are ran in a "straight line" with no "obstacles" in their way, and ran on the same track.

Calculating in meters-per-second for the girl who ran 200 meters in 28 seconds, you get 7.14285714286  meters per second

Calculating in meters-per-second for the girl who ran 400 meters in 60 seconds, you get 6.66666666667  meters per second

Comparing the two results, it can be "accurately" concluded that the girl herself ran faster than her friend under the following assumptions earlier stated.

4 0
3 years ago
Examine the diagram. It is not drawn to scale. <br>What is the m3? <br>m3 =_____°​
BartSMP [9]

Answer:

105

Step-by-step explanation:

180 - 75 = 105

7 0
3 years ago
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