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:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
Answer:
-18
Step-by-step explanation:
did the problem rn
Answer:
.2666667 or 26.66667%
Step-by-step explanation:
4/15 cant be simplified further. the denominator is divisible by 5 or 3, while the numerator is only divisible by 2. You can't make it smaller.
The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:
Alexia can answer 3 minutes on each math problem
Alexia can answer 4 minutes on each science problem
She worked more than 60 minutes
We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.
in our answer, we have x=20and y=10
3*20 + 4*10 > 60
60 + 40 > 60
100 > 60
Therefore, our answer is correct.
