Answer:
2(3x+4) = 11x-17
6x+8 = 11x-17
25=-5x
x=-5
11x-17
55-17
38
AC = 38
CD = 38
49-38 = 11
DE = 11
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Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)
b. Every 24 minutes
Step-by-step explanation:
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.
The first step is to:
Find and list multiples of each time each neon sign blinks.
This means, we find the Multiples of 6 and 8
Multiples of 6:
6, 12, 18, 24, 30, 36
Multiples of 8:
8, 16, 24, 32, 40
The first and common multiple of 6 and 8.
Therefore, the Least common multiple [LCM(6, 8) ] = 24
Hence, they often blink at the same time every 24 minutes.
Therefore, option b.Every 24 minutes is correct.
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140 is a composite number. Factor pairs: 140 = 1 x 140, 2 x 70, 4 x 35, 5 x 28, 7 x 20, 10 x 14. Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Prime factorization: 140 = 2 x 2 x 5 x 7, which can also be written 140 = 2² x 5 x 7
