Answer:
5
Step-by-step explanation:
The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.
In the provided sequence
-1-(-6)=5
4-(-1)=5
9-4=5
14-9=5
Therefore the common difference, d=5
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Answer:
X = 13
Step-by-step explanation:
Since this is a linear pair, it equals to 180 degrees.
7x + 37 + 4x = 180
11x + 37 = 180
-37 -37
11x = 143
11x/11 = 143/11
x = 13
Good luck on your form!
All you would have to do is basically add $44.80+6%= $47.488
Let us say that:
a = ones
b = fives
c = twenties
So that the total money is:
1 * a + 5 * b + 20 * c = 229
=> a + 5b + 20c = 229 -->
eqtn 1
We are also given that:
c = a – 5 -->
eqtn 2
a + b + c = 30 -->
eqtn 3
Rewriting eqtn 3 in terms of b:
b = 30 – a – c
Plugging in eqtn 2 into this:
b = 30 – a – (a – 5)
b = 35 – 2a -->
eqtn 4
Plugging in eqtn 2 and 4 into eqtn 1:
a + 5(35 – 2a) + 20(a – 5) = 229
a + 175 – 10a + 20a – 100 = 229
11a = 154
a = 14
So,
b = 35 – 2a = 7
c = a – 5 = 9
Therefore there are 14 ones, 7 fives, and 9 twenties.
