First represent your 3 consecutive integers as follows.
X ⇒ <em>first integer</em>
X + 1 ⇒ <em>second integer</em>
X + 2 ⇒ <em>third integer</em>
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Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.
Simplifying on the left side we get 3x + 3 = 84.
Now subtract 3 from both sides to get 3x = 81.
Dividing both sides by 3, we find that <em>x = 27</em>.
Finally, make sure you list all your answers.
If <em>x </em>is 27 then <em>x </em>+ 1 is 28 and <em>x </em>+ 2 is 29.
When written in standard form, you have to order each term from the highest degree to the lowest degree.
b. x^4y² + 4x²y + 8x is your answer.
hope this helps, God bless!
Answer:
b) y-3x = 1
c) 3x+1 = y
Step-by-step explanation:
I think you forgot to write a little part of the question. If your complete statment with this condition, i have the answer.
"Kevin said that if you triple his age the result will be 1 less than his mother age. Which of any of these Equation shows the relationship between Kevin's age x and his mothers age Y choose all that are correct
a) 3x-y=1
b) y-3x=1
c) 3x+1=Y
d) 3x=1-y"
you can write "the triple of this ages" as: 3x. and the result is y-1. That is:
3x = y-1
That equation can be rewrite as:
1. Passing -1 to the other side as +1 you will have: 3x+1=y. That is option c).
2. From last point 3x+1=y. Passing 3x to the other side as -3x you will have: y-3x=1. That is option b).
Answer:
Length is 20 meters and Width is 16 meters
Step-by-step explanation:
A parallelogram is a 4-sided figure with 2 pair of parallel sides.
The perimeter is the sum of all 4 sides of the parallelogram.
Let the length of parallelogram be x and width be y.
The perimeter is 72, thus we can write:
x + x + y + y = 72
or
2x + 2y = 72
Also, width is 4 less than length, thus we can write:
y = x - 4
Now, we replace the 1st equation with the 2nd equation and solve for x first. Shown below:
2x + 2y = 72
2x + 2(x - 4) = 72
2x + 2x - 8 = 72
4x = 72 + 8
4x = 80
x = 80/4 = 20
And now y:
y = x - 4
y = 20 - 4
y = 16
Thus, the Length is 20 meters and Width is 16 meters
Answer:
x = y / 2.5
Step-by-step explanation:
