The sum of 5 consecutive integers is 120 what is the third number
1 answer:
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Answer:
Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: , where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula: ,
Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,
Therefore, our desired equation will be .
Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,
Where, l is length and w is width.
Substituting the values, we get
Subtract 20 from both sides.
Divide both sides by
So, the length is
Therefore, the length of the rectangle is 13 cm.