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podryga [215]
3 years ago
10

Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third

. Find the integers.
Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

x,\ x+2,\ x+4-\text{the three consecutive even integers}\\\\\text{The equation}\\\\x+3(x+1)=2(x+4)+38\ \ \ \ |\text{use distributive property}\\\\x+3x+3=2x+8+38\\\\3x+3=2x+46\ \ \ \ |-3\\\\3x=2x+43\ \ \ \ |-2x\\\\x=43\\x+2=45\\x+4=47

algol133 years ago
6 0

Answer:

20, 22, 24

Step-by-step explanation:

since the integers are even: x, x+2, x+4

x+3(x+2)=38+2(x+4)

x+3x+6=38+2x+8

4x+6=46+2x

2x=40

x=20

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After a weekend at the beach, Lisa has $274 less than she had when she left. The equation that represents this situation is e=s−
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Well that's easy it basically tells you all you gotta do is plug in the numbers 

"E" is what you're trying to find out so you don't know that one it stays the same. 

"S" is the amount of money she started with and it says she started with $500 

And then she has $274 less than she started with. 

E = 500 - 274 

E= 226

She is left with $226 after her weekend at the beach. 

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Step-by-step explanation:

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\huge\boxed{\boxed{\underline{\textsf{\textbf{x=38}}}}}

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