Well for starters that would be $108/6 weeks when a unit rate is anything over one. To put it as a unit rate (how many dollars per hours) you just divide $108 by 6 (since you would divide 6 by 6 to get) and the unit rate would end up being $18 per hour.
Answer:
50 times.
Step-by-step explanation:
Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)
Because you are running the experiment 200 times, multiply 200 by 1/4:
200/4 = 50 times.
Hope this helps!
Not sure what exactly you meant, so i solved for both possibilities...
Answer: a=-2
assuming you mean a+2/2=-1.....
a+2/2=-1
simplify..
a+1=-1
subtract 1 from both sides
a=-2
____________________
Answer: a=-4
assuming you mean (a+2)/2=-1...
(a+2)/2=-1
simplify...
a/2+2/2=-1
simplify
a/2+1=-1
subtract 1 from both sides
a/2=-2
multiply both sides by 2
a=-4
Answer:
y=1/6x-6
Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)
To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.
It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:
Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)
Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.
The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places
So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.
Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)
And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.
Awesome! We found the slope, which means so far, the equation of line T looks like this:
y=1/6x+b
All we need now is the y-intercept, which is “b” in the equation y=mx+b.
To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.
y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b
Aha! There we have it, -6 is the y-intercept of line T.
Now, we have completed our equation:
y=1/6x-6
I hope this helps! Please comment if you have any questions.
Answer:
8 feet
Step-by-step explanation:
Filling the given numbers into the hint, we find ...
C = 2πr
50.24 = 2(3.14)r
r = 50.24/6.28 = 8 . . . . . . . divide by the coefficient of r
The radius is 8 feet.
