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S_A_V [24]
3 years ago
13

Helena lost her marbles. But then she found them and put them in 4 bags with m marbles in each bag. She had 3 marbles left over

that didn't fit in the bags.How many marbles does Helena have in all?
Mathematics
1 answer:
makkiz [27]3 years ago
4 0
For this case, the first thing we must do is define a variable:
 m = number of marbles
 We have then:
 "put them in 4 bags with m marbles in each bag"
 mathematically we have:
 4m
 Then,
 "She had 3 marbles left over that did not fit in the bags"
 mathematically we have:
 4m + 3
 Answer:
 
Helena has:
 
4m + 3 marbles.
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Answer:

Step-by-step explanation:

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.
Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be (x+2)

  Third consecutive number will be (x+4)

  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

∴ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

solving the equation to find the number.

⇒ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

Opening parenthesis

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subtracting both side by 4x

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Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

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  Fourth consecutive number will be (10+6) = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0
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