write the following as an algebraic expression then simplify the sum of two consecutive even integers of the first integer is x
Answers
x + (x+2)
In simplified form this is
2x+2
Final answer:
The algebraic expression for the sum of two consecutive even integers, where the first integer is x, is x+(x+2). This simplifies to 2x+2.
Explanation:
To express the sum of two consecutive even integers algebraically, where the first integer is x, it's important to understand that consecutive even integers increase by 2. Therefore, if x is your first even integer, the next consecutive even integer would be x+2.
To find their sum, you would simply add the two together, as follows: x+(x+2).
To simplify, combine like terms. The two 'x' terms add together to make '2x', and you're left with the '+2'. So, the simplified expression for the sum of two consecutive even integers where the first is x is 2x+2.
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2 to the tenth power in standard form
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Answer:
Is about 7 grams.
Hope this helps! :)
Answer:
7 grams.
Step-by-step explanation:
Blank 1:
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Answer: $25.80
Step-by-step explanation:
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Answer:
There could be 6 boys and 4 girls
There are several possible answers.
Step-by-step explanation:
Consider the provided ratio.
the ratio of boys to girls is equal to 3:2, it means that for every 2 girls in the class there will be 3 boys.
Let us assume there are 6 boys in the class.
Then the number of girls would be 4 because the ratio still have to be 3 to 2.
We can use algebra to figure this out or you can use logic.
The boys to girls ratio is 3:2, This can be written as:
If we multiply numerator and denominator by 2 we get.
That means for every 6 boys there are 4 girls, either way the ratio remains the same.
Similarly If we multiply numerator and denominator by 3 we get.
That means for every 9 boys there are 6 girls, and the ratio remains the same.
So there are more than one possible answer.
Hence, there are several possible answers.
There might be 3 boys and 2 girls.
There might be 6 boys and 4 girls.
There might be 9 boys and 6 girls.
There might be 12 boys and 8 girls.
etc...
In each case the ratio stays the same - 3 : 2.
Of course there probably can't be more than a few dozens of people in one class, but theoretically we can raise the numbers up to infinite.
Answers
Answer
6 boats.
Step-by-step explanation:
4: 20 = 1:5
That's the ratio.
x:30
1:5
30/5 = 6
1*6 = 6
x=6
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Answers
Answer:
The number of marbles Richard has 24 and John has 6.
Step-by-step explanation:
Richard has four times as many marbles as john.
If Richard have 18 to John they would have the same number.
Now, to find number of marbles each has.
Let the marbles of John be .
And the marbles of Richard be
According to question:
Subtracting both sides by we get:
Dividing both sides by 3 we get:
Marbles of John =
Marbles of Richard =
Therefore, the number of marbles Richard has 24 and John has 6.