Answer:
number of people=4+1
=5
144/5=28.5
28×5=140
Step-by-step explanation:
how many pencils will be left over?=144-140
=4
Answer:
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Step-by-step explanation:
The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

the generating function would be

we can multiply P(x) by x to get
Note that

which for
can be rewritten as

Answer:
option A. 21 sec
Step-by-step explanation:
Speed = the distance over the time
Given:
Speed = 2 m/s and distance = 42 m and time = t
So,
2 = 42/t
Solve for t
t = 42/2 = 21 sec.
The answer is option A. 21 sec
Answer:
a. 1 pair of pants is $6
b. $66 for 11 pairs of pants
a. 18/3 = 6
b. 6 × 11 = 66
Answer:
x = 11
y = 17
Step-by-step explanation:
We know that opposite angles (or vertical angles) are equal.
So
8x + 7 = 9x - 4
Subtract 8x from both sides of the equation
8x - 8x + 7 = 9x - 8x - 4
7 = x - 4
Add 4 to both sides of the equation
7 + 4 = x - 4 + 4
11 = x
Looking at the other 2 angles,
5y = 7y - 34
Subtract 7 y from both sides of the equation
5y - 7y = 7y - 7y - 34
-2y = -34
Divide both sides by -2
-2y/-2 = -34/-2
y = 17