Answer:
44.80
Step-By-Step Explanation:
Ap3x
Answer:
a = 43
Step-by-step explanation:
If PQ = PR, then P = R
The sum of the angles of a triangle is 180
P+Q+R = 180
47+2a + 47 = 180
Combine like terms
94 + 2a = 180
Subtract 94 from each side
2a = 180-94
2a = 86
Divide by 2
2a/2 = 86/2
a = 43
A is the correct answer because he did not ask the whole class.
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>
Let x represent amount of money that Tony needs to deposit to avoid a fee.
We have been given that Tony has $727.29 in his checking account. He wrote a check for $248.50 today.
Let us find amount of money left in Tony's account after writing a check of $248.50 as:
After depositing x dollars in account, total amount of money in Tony's account would be 
.
Since Tony must maintain a $500 balance to avoid a fee, so amount of money is his account should be greater than or equal to 500.
We can represent this information in an inequality as:
Therefore, our required inequality would be and option C is the correct choice.
Let us solve for x.
Therefore, Tony must deposit at-least $21.21 to avoid a fee.
