Answer:
37 and 26
Step-by-step explanation:
Let the bigger number be x and the smaller number be y.
Then the two numbers total 63 will give us:
y+x=63------>eqn1
The two numbers have a difference of 11.
y-x=11------->eqn2
We add equations 1 and 2 to obtain:
2y=74
Divide both sides to get:
y=37
Put y=37 into eqn2 to get:
37-x=11
x=37-11
x=26
This larger number is 37 and the smaller number is 26
Step-by-step explanation:
Given the table:
Month f(x) = Number of imports g(x) = Number of exports
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
From the table, it is clear that:
Number of imports = number of month + 2
so

also
Number of exports = 2(number of month) + 1
so

Therefore, number of imports equals the number of month plus one. i.e.
, which is a linear function.
If we compare it with slope-intercept form of the line

Then,
slope = m = 1
y-intercept = 2
Also number of exports equals is also a linear function.
i.e. 
Here,
slope = m = 2
y-intercept = -1
(I'm not totally sure but there may be someone else with a more accurate/correct answer.)
Here is what I got (Red represents my work, blue represents to follow which steps and highlighter represents what the answer is):
Answer:
15
Step-by-step explanation:
Depth of well = No. of turns × length of one turn
Given: Depth of well = 9.89m = 989cm [1m = 100cm]
Let number of turns be x
Length of one turn = 2πr or π×diameter
Now , 989=x×π×21
989=x×(22/7)×21
x=989×7/(22×21)
x=14.98 ≈15 turns
[Number of turn never be in decimals]
Hence number of 15 complete turns of the handle required to bring up the bucket