Answers:
========================================================
Explanation:
Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way
and so on. This process may take a while to reach
There's a shortcut. The nth term of any arithmetic sequence is
We plug in and simplify
Then we can plug in various positive whole numbers for n to find the corresponding value. For example, plug in n = 2
which matches with the second term we found earlier. And,
---------------------
The notation refers to the sum of the first ten terms
We could use either the long way or the shortcut above to find all through . Then add those values up. Or we can take this shortcut below.
The sum of the first ten terms is -85
-----------------------
As a check for , here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that is correct.
What needs to be done first is to add up females and males that have passed.
42 + 14 = 56
so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75
out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25
check work; 0.75 + 0.25 = 1.00
NOW WE ARE DOING FAILS.
15 + 5 = 20
so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75
out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25
check work; 0.75 + 0.25 = 1.00
i hope this helped! :)
Answer:
C. 16x+9=4x
Step-by-step explanation:
If each case weighs 24 pounds, then 1p=24 pounds. so if we're trying to find a function of weight, p=24c.
Example: When you have 2 cases, you plug in a 2 for c
p=24c
p=24(2)
p=48
So if you have two cases, it will total 48 pounds,
So that is why the equation is p=24c. Hope this helps!
Answer:
<em>39 is 26.71% of 146</em>
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 146 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100% = 146.
Step 4: In the same vein, x% = 39.
Step 5: This gives us a pair of simple equations:
100% = 146(1).
x%=39(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have
100/x% = 146/39
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 39/146 ⇒ x= 26.71%
Therefore, 39 is 26.71% of 146.
<em>hope it helps:)</em>