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Viktor [21]
3 years ago
5

Find a common multiple between 30 and 42 that is bigger than them.

Mathematics
2 answers:
Wittaler [7]3 years ago
6 0

Answer:

210

Step-by-step explanation:

GCF(30,42) = 6

LCM(30,42) = ( 30 × 42) / 6

LCM(30,42) = 1260 / 6

LCM(30,42) = 210

Elan Coil [88]3 years ago
5 0
1260

1260 is a multiple of 30 and 42.
30(42)=1260,
multiplying both of these numbers means that the result will always be a common multiple.
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A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint? What is the probability
jarptica [38.1K]

Answer:

23/35

Step-by-step explanation:

Probability ratio will be expresses with denominators of 12+7+16=35

Probability of selecting carmel is 12/35

Probability of selecting mints is 7/35=1/5

Probability of selecting chocolates is 16/35

Probability of not selecting a carmel will be given by 1-probability of selecting a carmel since maximum probability is always 1 or 100%

Probability of not selecting a camel will be 1-12/35=35/35-12/35=23/35

Alternatively, the probability of not selecting a carmel is equivalent to the sum of probability of either selecting a dark chocolate or mint which will be 7/35+16/35=23/35

The answers are the same, 23/35

5 0
3 years ago
Which statement is not always true?
earnstyle [38]
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out. 

B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.

C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.

D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.

----------------------------------------------------------------------

The final answer is choice C
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3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

6 0
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