Answer:
<u>x= 4 2/3 </u><em><u>OR</u></em><u> 14/3 </u><em><u>OR</u></em><u> 4.6... –– 4 2/3 and 4.6... are the simplest form.</u>
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
<u>4 2/3, 14/3, 4.6... = x</u>
Answer:
Step-by-step explanation:
The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.
The inequality can be used to determine the number of nights the Jones family could spend at the hotel is
750 ≥ 75 + 125h
This can also be written as
75 + 125h ≤ 750
We would solve the inequality for the value of h.
125h ≤ 750 - 75
125h ≤ 675
h ≤ 675/125
h ≤ 5.4
For any value of h greater than 5.4 hours, the inequality will not be true.
Ok, im not going to answer it, but I'm gonna tell you what you need to do to get the answer, first, multiply 100 with 60, then take a quarter out, this is a very simple way to do it, and most people just overthink things.
Answer:
Test statistic = 2
P-value = 0.0227
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $98
Sample mean, 
= $100
Sample size, n = 100
Population standard deviation, σ = $10
First, we design the null and the alternate hypothesis
Formula:
Putting all the values, we have
Now, we can calculate the p-value from the normal table
P-value = 0.0227
(24)(.25)=6 dollars more per hour
24+6=30
