Answer:
a)4080 trees
b)104 trees
Step-by-step explanation:
<u>1st - 24 trees</u>
<u>last (40th) - 180 trees</u>
If differences between any row (except 40th) and next row are equal then
<u>2nd - 24 trees+X</u>
<u>3rd - (2nd+X) or 24 trees + 2X</u>
coefficient of X is <u>number of row minus 1</u>, therefore 40th row has <u>24 trees + 39X</u>, and it is equal to <u>180</u>. We can make an equation from this:
<u>24tr+39X=180tr</u>
<u>39X=156tr</u>
<u>X=4tr</u>
By this we can find how many trees are there in the 21st, 21st row has 24 trees+20X=24 trees+80 trees=104 trees
To find how many trees are there in the whole orchard, we add them all:
<u>1st - 24 trees, 2nd - 24 trees + X, 3rd - 24 trees + 2X,</u>
easily, it is just <u>24 trees x 40 + 39X x 20 = 4080 trees</u>
Answer:
3^2*3^4
3^12/3^4
(3^4)^2
The first, fourth, and fifth
Step-by-step explanation:
Follow rules of exponents
When multiply an exponent with same base just add the exponents
EX: 2^2 * 2^2= 2^4
When dividing with the same base, subtract
EX: 3^12/3^2=3^10
When raising the power of an exponent to another exponent, multiply.
EX: (3^2)^2=3^2
40 degrees
22 minutes
55.39 seconds
Answer:
Here we want to calculate the 25% of $140.
Well, first we assume that:
$140 = 100%.
Now, assuming that, we can write the equation:
X = 25%
Where X is the 25% of $140.
Then we have the equations:
$140 = 100%
X = 25%
Let's take the quotient between these equations:
$140/X = (100%/25%)
Now let's solve this for X:
X = (25%/100%)*$140 = 0.25*$140 = $35
Then the tip will be of $35
23.7 is 1/10 the value of 237