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Troyanec [42]
3 years ago
13

The sum of 3 consecutive even numbers is 42.Find the largest number.

Mathematics
2 answers:
algol133 years ago
6 0
Let the smallest number among them is n then next two consecutive even terms are: n+2 and n+4

The sum of numbers is 42, so:

↪n+n+2+n+4=42
↪3n+6=42
↪3n=42-6
↪n=36/3
↪n=12

The largest among these numbers is :
n+4
=12+4
=16↪Answer
Tom [10]3 years ago
6 0
<u>Define x:
</u>
Let the smallest number be x
The other 2 numbers are x+2 and x+4

<u>Construct Equation:
</u>
Sum of the numbers is 42
⇒x + (x + 2) + (x + 4) = 42

<u>Solve for x:
</u>
x + (x + 2) + (x + 4) = 42

Remove brackets:
x + x + 2 + x + 4 = 42

Combine like terms:
3x + 6 = 42

Subtract 6 from both sides:
3x = 36

Divide both sides by 3:
x = 12

<u>Find largest number:
</u>
The largest number = x + 4  = 12 + 4  = 16

Answer: The largest number is 16.

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-5x=3x-24 help me with this problem
adoni [48]

Answer:

x = -3

Step-by-step explanation:

Take the 3x away from the right side.

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7 0
3 years ago
What is 3/10 ÷5/10 ?
olasank [31]
The answer is 30/50 look below:
KCF keep change flip
so keep the first one the way it is
change the sign to multiplication from division
filp the 2nd fraction into a improper fraction
than multiply
so...
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so...
your answer is 30/50 or 3/5 that is in simplest form

Hope this helped


5 0
2 years ago
What is the first term in the sequence for which d = -2 and a7 = 3?
AnnZ [28]

Answer:

Final answer is c. 15

Step-by-step explanation:

We need to find about what is the first term in the sequence for which d = -2 and a7 = 3

We will use nth term formula of arithmetic sequence.

a_n=a+\left(n-1\right)d

we have been given a7 that means 7th term is 3

so plug n=7, d=-2 and a_n=3 into above formula

3=a+\left(7-1\right)(-2)

3=a+6(-2)

3=a-12

15=a

Hence final answer is c. 15

7 0
3 years ago
Read 2 more answers
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