Complete the real-world situation that could be modeled by the equation 110 − 4x = 130 − 8x. xavier has $110 in his lunch account. he spends $ for lunch each day. zack has $ in his lunch account. he spends $ each day. after how many days will the boys have the same amount of money in their accounts?

x = 5

Step-by-step explanation:

Pay attention to the equation here, because it's all you'll need to solve the problem. Look at the numbers tied to our variable x; 4 and 8. We can assume that x is the number of days and these numbers are what Xavier and Zack spend each day for lunch.

They already told you that Xavier has $110 in his bank account, so we can assume that all the information we need for him is on the left side of the equation (110 - 4x). Being that x represents the number of days and the number tied to it is the amount spent on lunch, we can see that Xavier spends $4 for lunch every day.

The right side of the equation is for Zack. Zack has $130 in his bank account and spends $8 for lunch every day.

Now to solve for our equation:

110 - 4x = 130 - 8x

And so, we can see that x equals five. So, Xavier and Zack will have the same amount in their accounts after five days. To check:

110 - 4(5) = 130 - 8(5)

110 - 20 = 130 - 40

90 = 90

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184