Answer:
41 units
Step-by-step explanation:
Pythagorean's theorem,
Hypotenuse² = base² + adjacent²
Diagonal² = length² + width²
= 40² + 9²
= 1600 + 81 = 1681
Diagonal = √1681 = 41 units
6 bills in the deposit were $10 bills.
<u>Step-by-step explanation:</u>
The total number of bills he gave the teller = 24 bills
x + y = 24 ------------(1)
Let,
x be the number of $5 bills.
y be the number of $10 bills.
The total bank deposit made using $5 and $10 bills are $150.
<u>He deposits $5 bills and $10 bills. So, the equation can be framed as :
</u>
5x + 10y = 150 --------(2)
The question is asked for how many $10 bills were in the deposit,
Here 'y' is the number of $10 bills.
<u>To solve for y value :
</u>
The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),
5x + 5y = 120
-(<u>5x + 10y = 150</u>)
<u>-5y = -30 </u>
⇒ y = 30/5
⇒ y = 6
Therefore, there were 6 bills in the deposit that are $10 bills.
