<span>Part
A: Solve A = (x + 23) for x.
A = x + 23
=> A - 23 = x + 23 - 23
=> A - 23 = x
=> x = A - 23 <------- answer
Part B: Determine the value of x
when A = 108
Replace the value of A in the expression x = A - 23
x = 108 - 23 = 75
x = 75 <------- answer
Part C: Solve -np - 90 > 30 for n.
-np - 90 > 30
=> -np + np - 90 >30 + np
=> - 90 > 30 + np
=> -90 - 30 > 30 - 30 + np
=> -120 > np
=> np < - 120 <----- answer
</span>
Answer:
<u>The cost to rent a rug cleaner for 6 days is $ 58</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost to rent a rug cleaner for d days = 5.50d + 25
2. Find the cost to rent the cleaner for 6 days.
Cost to rent a rug cleaner for 6 days = 5.50 * 6 + 25
Cost to rent a rug cleaner for 6 days = 33 + 25
Cost to rent a rug cleaner for 6 days = $ 58
<u>The cost to rent a rug cleaner for 6 days is $ 58</u>
There is a typo error in the last part of the question. The corrected part is-
"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"
Answer:
The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>
Step-by-step explanation:
Given:
Probability of ordering fries is, 
Probability of ordering cheese sandwich is, 
Probability of ordering both sandwich and fries is, 
Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as 
.
Now, using addition theorem of probability, we get:
Therefore, probability of ordering cheese sandwich or fries is 0.43.
Answer:
x= 13.5
Step-by-step explanation:
f(x) = 2x + 9
f(x) = 36
Set the 2 equations equal to each other;
2x + 9 = 36
Subtract 9 from both sides;
2x = 27
Divide both sides by 2;
x = 13.5
<em>Check:</em>
f(x) = 2x + 9
f(13.5) = 2(13.5) + 9= 27 + 9 = 36
