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natita [175]
2 years ago
11

Charles has 24 marbles. He has 6 more yellow marbles then blue marbles. What equation represents this situation

Mathematics
1 answer:
erica [24]2 years ago
8 0

Answer:

(x + x + 3) = 24

Step-by-step explanation:

If charles has 3 more yellow than blue marbles, then it's x + 3 for the yellow, and just x for blue

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Black_prince [1.1K]
"Rise over Run" is a common way of remembering this means that you work out how much the line has gone up and then dividing this by how much the line has gone to the left
8 0
3 years ago
A 6.5 foot long piece of wood is cut into 5 sections. how long is each section?
NISA [10]
To get this answer, you need to divide 6.5 by 5. 6.5/5=1.3 since the measure is in feet, each section is 1.3 feet long.
5 0
3 years ago
Read 2 more answers
Nicole has 16 nickels and dimes. If the value of her coins is 1.05, how many of each coin does she have?
earnstyle [38]

Answer:

  • 11 nickels
  • 5 dimes

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.

_____

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

__

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

__

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.)

3 0
3 years ago
What is the solution of the system ?Use substitution.<br> Y= -3x<br> X + y = -4
DedPeter [7]
I hope this helps you



x-3x= -4


-2x= -4


x=2


y= -3.2



y= -6
4 0
3 years ago
An outside thermometer reads -5 degrees at 8:00 a.m. By 12:30 p.m. the temperature outside has increased by 11 degrees. At 12:30
Lesechka [4]

Answer:

73 degrees.

Step-by-step explanation:

So, let's see the information provided in the question.

At 8 AM, the thermometer was reading -5 degrees.

At 12:30 PM, the temperature has increased by 11 degrees, so it's now +6 degrees outside.

Inside Susan's house, the temperature is 7 degrees more than 11 times the outside temperature, at 12:30 PM.

So, we know the outside temperature at 12:30 PM is +6 degrees.

11 times 6 = 66 degrees.

Then we add the additional 7 degrees, to get a total of 73 degrees.

7 0
3 years ago
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