Answer:
a(c-b) = d
Use the distributive property, which states: x(y-z) = xy - xz
a(c-b) = ac - ab
ac - ab = d
Add ab on both sides
ac = d + ab
Divide both sides by a to isolate c
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Answer:
2.1%
Step-by-step explanation:
Answer:
The balance of Dianne's register should be $359.41
Step-by-step explanation:
We can begin at the ending balance on the bank statement at $578.30
Then a check is written for $219.25, so a debit
Next a deposit is made for $140.36, so a credit
Then a withdrawal is made for $140.00, so a debit
This means we can make the equation

ANSWER
The value of a and b are:

EXPLANATION
The expression given to us is

We square both sides of the equation to obtain

We now find the prime factorization of 648 to obtain,

We now compare the exponents on both sides of the equation to obtain,

Therefore the correct option is C
Answer: Our variable be z for fair admission and our required linear equation will be

Explanation:
Since we have given that
Cost per ticket for the rides =$1.50
Total amount she spent = $48.75
Let the total cost be y
Let the number of ride tickets be x
<u>a) Define your variable:</u>
Let the amount spent on fair admission be z
<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>
Our required equation will be

Here, number of ride tickets = 20
So,

So, the cost for fair admission = $18.75