The least number of cases and envelopes so that there would be no remainder can be determined by finding their least common multiple. The solution is as follows
4 | 20 12
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| 5 3
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Multiplying 4*5*3 = 60. The least common multiple is 60. Thus, there should be at least 60 each of the envelopes and the packets.
Number of mailing envelopes = 20x = 60
x = 3
Number of packets = 12y = 60
y = 5
That would be 3 packs of the envelopes, and 5 packs of the packets.
Answer:
Lucas groups the polynomial (12x^3 + 8x) + (–6x^2 – 4) to factor → 2 (2 x - 1) (3 x^2 + 2)
Step-by-step explanation:
Factor the following:
12 x^3 - 6 x^2 + 8 x - 4
Hint: | Factor out the greatest common divisor of the coefficients of 12 x^3 - 6 x^2 + 8 x - 4.
Factor 2 out of 12 x^3 - 6 x^2 + 8 x - 4:
2 (6 x^3 - 3 x^2 + 4 x - 2)
Hint: | Factor pairs of terms in 6 x^3 - 3 x^2 + 4 x - 2 by grouping.
Factor terms by grouping. 6 x^3 - 3 x^2 + 4 x - 2 = (6 x^3 - 3 x^2) + (4 x - 2) = 3 x^2 (2 x - 1) + 2 (2 x - 1):
2 3 x^2 (2 x - 1) + 2 (2 x - 1)
Hint: | Factor common terms from 3 x^2 (2 x - 1) + 2 (2 x - 1).
Factor 2 x - 1 from 3 x^2 (2 x - 1) + 2 (2 x - 1):
Answer: 2 (2 x - 1) (3 x^2 + 2)
Answer:
8.95
Step-by-step explanation:
here we are going to use pythagoras theorem
a² +b² =c²
the vertical can be taken as a and horizontal as b
4² +8²=c²
this is the same as
c²= 4²+ 8²
c²= 16+ 64
c²=80
to get rid of the square we shall put both sides under a root

c = 8.95
Answer:
y=2
Step-by-step explanation:
6(-3)+3y=-12
-18+3y=-12
3y=-12-(-18)
3y=-12+18
3y=6
y=6/3
y=2
Answer:
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.
Step-by-step explanation:
Given : The expression below represents the number of flyers handed out at the school fair by 14 members of the student council, where x is the number of minutes after the first minute of the fair. Assume that each student council member handed out the same number of flyers throughout the fair.
Expression : 14(22x) + 350
To Find: Interpret the meaning of each term in the expression.
Solution:
14 denotes the number of members
x is the number of minutes after the first minute of the fair
22 denotes each handed out 22 flyers per additional minute of the fair.
denotes each handed out 25 flyers during the first minute of the fair.
So, option A is true .
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.