Patrick completes 13 questions every 52 minutes.
We're trying to find the time for Patrick to complete 1 packet.
Let's set these up as a fraction equation.
13/52 = 1/x, x being the variable that substitutes the time we're looking for.
13/52 can be simplified, though.
Divide both numbers by 13.
13 / 13 = 1
52 / 13 = 4
We now have:
1/4 = 1/x.
Well, this makes it easier. The numerators match, so the denominators must match as well.
x = 4.
It will take Patrick 4 minutes to complete 1 homework question.
I hope this helps!
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
![5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30](https://tex.z-dn.net/?f=5x%20-%2080%20%2B%202x%20%2B%2050%20%3D%20180%20%5C%5C%207x%20-%2030%20%3D%20180%20%5C%5C%20%20%5Cfrac%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%2B%2030%20%3D%20%20%2B%2030%7D%7B%20%5Cfrac%7B7x%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B210%7D%7B7%7D%20%7D%20%20%5C%5C%20x%20%3D%2030)
[I apologize if the answer to the question is inaccurate]
Answer:
1/2, or 50% probability if you have equal amounts of even and odd numbers
do you have a list of the numbers or is it just in general ?
Answer:
Step-by-step explanation:
Answer:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
Explanation:
Start with:
cot
x
−
√
3
=
0
cot
x
=
√
3
This means that:
cos
x
sin
x
=
√
3
1
So the adjacent is length
√
3
and the opposite is length 1. This set us up for the 30/60/90 triangle and the angle we're looking at is the
30
o
or
π
6
one.
So now the question is which quadrants are we looking at. Cotangent is positive in Q1 and Q3. The angles we're looking at, then, are
π
6
and
π
+
π
6
=
7
π
6
.
This question does not limit our answer to any particular domain, and so we need the general solution, which is:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer