Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer: $52.50
Step-by-step explanation:
1 way : 15 divided by 2 then multipy your answer by 7
2nd way : 15x7. Once you get that answer divide it by 2 to get $52.50
Answer:
2/3
Step-by-step explanation:
Answer:
The probability of getting a factor of 12 on a fair dice is 5/6 or approximately 83%.
Step-by-step explanation:
Probability is expressed as a fraction where the denominator is the total number of outcomes and the numerator is the number of desired outcomes. In this case, the desired outcome is any factor of 12. The factors of 12 are the numbers we multiply together to get that number: 1, 2, 3, 4, 6 and 12. Since a fair dice has the total outcomes of either 1, 2, 3, 4, 5 or 6, then the total outcomes is 6 and the possibility that we could roll the desired outcome (factor of 12) is 5, the probability is 5 out of 6 or 5/6, which when divided is approximately 83%.
T is the cost of the table. B is the cost of a bench.
b+t=652
b+98=t
t-98+t=652
2t=554
t=277
b=375
Hope this helps!
