By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have x_{n} = a+ (n-1)d
Here,
a=3
x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218
Answer:
<em>x = 10</em>
Step-by-step explanation:
These angles are <em>same side interior angles</em>.
This means that (11x + 10) + (10x - 40) = 180
Solve for x:
11x + 10 + 10x - 40 = 180
21x - 30 = 180
+30 +30
21x = 210
/21 /21
<em>x = 10</em>
Answer:
80 minutes
Step-by-step explanation:
Rate and Time are inverses of each other
First,
Elise Time = 12
and
Katherine Time = 2 * 12 = 24
Their rates would be (inverses):
Elise Rate = 1/12
Katherine Rate = 1/24
Together their rate is 1/12 + 1/24 = 3/24
Now, the inverse of this rate would be the time it takes to complete 1 bag together, that is:
(3/24) ^ -1 = 24/3 = 8 minutes
So, 10 bags would take them:
8 * 10 = 80 minutes
An integer divided by its opposite always equals -1: this is false. Any number which is not 0 divided by it's opposite is in fact equal to -1, but since 0 is also an integer, it's false. You are right, good job!
