Answer:
2² • 89
The prime factors are: 2 x 2 x 89
or also written as { 2, 2, 89 }
Written in exponential form: 2² x 891
Step-by-step explanation:
56 ÷ 2 = 178 - No remainder! 2 is one of the factors!
178 ÷ 2 = 89 - No remainder! 2 is one of the factors!
89 ÷ 2 = 44.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
89 ÷ 3 = 29.6667 - This has a remainder. 3 is not a factor.
89 ÷ 5 = 17.8 - This has a remainder. 5 is not a factor.
89 ÷ 7 = 12.7143 - This has a remainder. 7 is not a factor.
If they took 2/3 away you have 1/3 left. you would have 7 left.
Answer:
Probability that the measure of a segment is greater than 3 = 0.6
Step-by-step explanation:
From the given attachment,
AB ≅ BC, AC ≅ CD and AD = 12
Therefore, AC ≅ CD = 
= 6 units
Since AC ≅ CD
AB + BC ≅ CD
2(AB) = 6
AB = 3 units
Now we have measurements of the segments as,
AB = BC = 3 units
AC = CD = 6 units
AD = 12 units
Total number of segments = 5
Length of segments more than 3 = 3
Probability to pick a segment measuring greater than 3,
= 
= 
= 0.6
Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
13T+8C ≤ 220
Let us substitute 9 for T and 5 for C and check.
13(9) + 8(5) = 117 + 40
= 157 < 220
So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.
48T+37C ≤ 760
Substitute 9 for T and 5 for C.
48(9)+37(5) = 432 + 185
= 617 < 760
So, 760 nails are sufficient to make 9 tables and 5 chairs.
Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.
