Answer:
Dan is 29. Cary is 36.
Step-by-step explanation:
Let Dan's age now be D.
Let Cary's age now be C.
"Cary is 7 years older than Dan."
C = D + 7
"In 7 years the sum of their ages will be 79. "
In 7 years, the ages of Dan and Cary will be D + 7 and C + 7, respectively.
D + 7 + C + 7 = 79
C + D + 14 = 79
C + D = 65
C = D + 7
The last two equations in bold above form a system of equations. Since the second equation is already solved for C, we use the substitution method.
D + 7 + D = 65
2D + 7 = 65
2D = 58
D = 29
C = D + 7
C = 29 + 7
C = 36
Answer: Dan is 29. Cary is 36.
Answer:
i think its A?
Step-by-step explanation:
because he is warning greg?
Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
Answer:
I think #2
Step-by-step explanation: