Answer:
The initial cash balance in bank is $46
Step-by-step explanation:
The equation given to determine b which is the initial money before she withdrew $60 is
b + (-60) = -14
Let's solve for the value of b which is the initial balance of the money in the bank.
b + (-60) = -14
b -60 = -14
b = -14+60
b = 60-14
b = 46
The initial money before she withdrew $60 was $46
Answer: C(x) = 13x +95
Step-by-step explanation:
Here's the remainder of the question:
If C(x) represents the total cost and x represents the number of people attending the banquet, which equation shows the total cost? A C(x)=95x – 13 B C(x)=13x – 95 C C(x)=95x +13 D C(x)=13x +95
Based on the information given in the question, the total cost will be:
= 95 + 13(x)
= 95 + 13x
Therefore, the correct answer will be C(x)=13x +95
Answer:
120 ≤ 20c + 40s
Step-by-step explanation:
(Assuming her name is Kylie, who is giving 40 minute science sessions and 20 minute Chinese sessions.)
The unit for time will be minutes.
Write an equation for time needed for science sessions
40s = t
Write an equation for time needed for Chinese sessions
20c = t
Combine the two equations for the total time.
20c + 40s = total time
She does not want the total time to be more than two hours.
Convert two hours to minutes. There are 60 minutes in an hour.
2h * 60mins = 120 mins
Therefore t ≤ 120. Include this into the equation.
120 ≤ 20c + 40s
Let's factorise it :

![\: {\qquad \dashrightarrow \sf {x}^{3} (x + 3) + [-5(x + 3)] }](https://tex.z-dn.net/?f=%5C%3A%20%7B%5Cqquad%20%20%5Cdashrightarrow%20%5Csf%20%20%20%20%7Bx%7D%5E%7B3%7D%20%28x%20%2B%203%29%20%2B%20%5B-5%28x%20%2B%203%29%5D%20%20%7D)
Using Distributive property we get :



⠀
Therefore,

Answer:
oogla boogla
Step-by-step explanation: