Answer:
7x+6 = 5(x+6)
Step-by-step explanation:
x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)
In 6 years, Harry's age will be x+6.
In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...
... 7x+6 = 5(x+6)
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Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).
Answer:
f(x) = 1.5x - 0.5x
Step-by-step explanation:
The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.
The triangular number general formula
x (x + 1) / 2
For example,
The sequence
1, 3, 6, 10
*
* * *
* * * * * *
* , * *, * * *, * * * *
_____________________________
The pentagonal numbers
The sequence:
1, 5, 12, 22, 35
As shown in the picture can be divided into three triangles
Triangle 2
x (x + 1) / 2
Triangle 1 and 3 (they are triangles one unit smaller than 2)
n (n + 1) / 2
n= x-1
Replacing n
(x-1) ((x-1) + 1) / 2
(x-1) (x) / 2
(x-1) x / 2
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Function represents the pattern
Triangle 2 + (Triangle 1 + Triangle 3)
Triangle 1 = Triangle 3
So then,
Triangle 2 + 2* Triangle 1
x (x +1) /2 + 2* (x -1) x/2
Rearranging
0.5 x (x +1) + x(x -1)
0.5x^2 + 0.5x + x^2 -x
(0.5 x^2 + x^2) + (0.5x -x )
1.5 x^2 - 0.5 x
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Answer: A train traveled486 miles in 7 hours
They would be going at least 40 - 70
Step-by-step explanation:
Answer: You basically have to 2xlw+2wh+2lh which means
2 multiplied by the length and width + 2 x the width and the height+ 2 x the length and height
Example:
l= 2
w=5
h=4
2x2x5+2x5x4+2x2x4
I hope this helps