Answer:
C
Step-by-step explanation:
Answer:
D α H
k = D/H
k = 3.50
Step-by-step explanation:
Amount paid, D is directly proportional to the number of hotdogs, H
D = $3.50 per hot dog
D = $3.50 is directly proportional to 1 hotdog
Hence,
D α H
D = kH
k = proportionality constant
H = 1
3.50 = k
k = 3.50
k = D/H
Let's say we placed dominoes close together such that they only fell over one way: to the right hand side. Let's call the dominoes A and B.
Domino A is to the left of domino B. If we push over domino A, then it will hit domino B to cause it to fall over as well. We have a mini chain reaction of sorts. The fall of A triggers the fall of B, but not the other way around.
For this problem, we can think of domino A as "Jillian gets a raise" and domino B as "she will buy a new car". The raise causes her to get a new car, but not vice versa.
Since we're told in the last sentence she definitely got the raise, this must mean she will definitely get the new car.
In terms of symbols, the law of detachment is stated as
- If P, then Q
- P is true
- Therefore Q is true
Side note: some books might use the term "modus ponens" instead of "law of detachment". They're the same thing.
Answer:
x = 2
y = -3
Step-by-step explanation:
y = x - 5 -------------------(I)
x + y = -1 ----------------(II)
Substitute y = x -5 in equation (II)
x + (x - 5) = -1
x + x - 5 = -1 {Combine like terms}
2x - 5 = -1 {Add 5 to both sides}
2x = -1 + 5
2x = 4 {Divide both sides by 2}
x = 4/2
x = 2
Substitute x = 2 in equation (I)
y = 2 - 5
y = -3
Based on the information given, it can be deduced that the initial cost will be $187 and the hourly rate is $72 per hour.
From the information given, the initial cost is $187. The cost for 2 hours is $259 and the cost for 3 hours is $331.
Therefore, the rate per hour will be:
= $259 - $187 = $72
The equation will then be:
= 187 + 72h
Lastly, the difference in the costs is $72.
Learn more about equations on:
brainly.com/question/13763238
