Answer:
17.5 km
Step-by-step explanation:
5 km per hour so for 3 hours it would be 15 then 2.5 km for half an hour gives a total of 17.5 km walked in 3 1/2 hours
Answer:
C. 4 + x = 3x - 2, 3
Step-by-step explanation:
4 + x = 3x - 2
Step 1: Subtract 3x from both sides; 4 - 2x = -2
Step 2: Then subtract 4 from both sides, -2x = -6
Step 3: Last divide -2 on both sides; -2x/-2 = -6/2
Solution: x= 3
The <em>correct answer</em> is:
4 points per multiple choice question
Explanation:
Let x be the amount each multiple choice question is worth. Since Gretchen answered 18 of them correctly, we would write this as 18x. Adding the 19 points for the essay question, we have 18x+19.
Since Ezia answered 15 multiple choice questions correctly, we would write this as 15x. Adding the 31 points for the essay question, we have 15x+31.
Since they had the same score, we set these equal to one another:
18x+19 = 15x+31
To solve this, first subtract 15x from each side:
18x+19-15x = 15x+31-15x
3x+19 = 31
Subtract 19 from each side:
3x+19-19 = 31-19
3x=12
Divide each side by 3:
3x/3 = 12/3
x = 4
Each question is worth 4 points.
Let's pick one person at random and call it the 'first'.
That person shakes hands with 29 other classmates.
Take another person different from the first, we'll call him the 'second'. Since he has already shaken hands with the first, he shakes hands with 28 other classmates.
The 'third' person will likewise shake hands with 27 other classmates, and so on.
Hence, the total number of handshakes is 29+28+27+...+2+1 = 29*30/2=435 handshakes
The composite function 
works like this:
- Take a number
as input - Evaluate h(x) = 3x. Let's call this output z.
- Evaluate g(x) = 1/(z+2)
So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose
