Answer: the dwarf tree grew by 3 inches.
the semi dwarf tree grew by 6 inches.
the full size tree grew by 18 inches.
Step-by-step explanation:
Let x represent how much the semi-dwarf lemon tree grew.
Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2
A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x
Together, the three trees grew 27 inches. This means that
x/2 + x + 3x = 27
Cross multiplying by 2, it becomes
x + 2x + 6x = 54
9x = 54
x = 54/9
x = 6 inches
The dwarf tree grew by 6/2 = 3 inches.
The full-size lemon tree grew by 3 × 6 = 18 inches
Answer:
14(26+53)
Step-by-step explanation:
14*26 + 14*53 can be rewritten as 14(26+53). The value of this expression is 14(79) = 1106.
Answer:
6 positive tiles
Step-by-step explanation:
6-6 is zero
Answer:
P=1
Step-by-step explanation:
1-6=-5
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
