Answer:
The balance in the account has fallen by $ 
Step-by-step explanation:
Given
Clay wrote three checks of amount 
dollar each
The total amount clay is planning to withdraw through check is equal to
On this Clay further withdraws an amount of $ 
She then make a deposit of $ 
The net change in the account is equal to
Deposits - withdrawals
The balance in the account has fallen by $
Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
The temperature changed a total of 14° over the course of 7 hours with an average change of 2° per hour drop.
Answer:
A = 108 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (b₁ + b₂ )
where h is the height between the 2 bases and b₁, b₂ are the parallel bases
Here h = 24 , b₁ = 8 , b₂ = 1 , then
A = × 24 × (8 + 1) = 12 × 9 = 108 units²
