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ale4655 [162]
3 years ago
15

Ardem has two lights one flashes every 15 seconds the other flashes every 42 seconds. They start flashing at the same time. Afte

r how many seconds will they next flash at the same time??
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer: After 210 seconds they with next flash at the same time.

Step-by-step explanation:

Given: Ardem has two lights.

One flashes every 15 seconds the other flashes every 42 seconds.

If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42)   [LCM - Least common multiple]

Prime factorization of 15 = 3 x 5

Prime factorization of 42 = 2 x 3 x 7

Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210

i.e. After 210 seconds they with next flash at the same time.

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4 years ago
Solve for x. 9(x + 1) = 25 + x
Anit [1.1K]

Answer:

Given the equation: 9(x+1) = 25+x

Distributive property of multiplication over addition states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i,e,

a\cdot (b+c)=a\cdot b+a\cdot c

Then, by using distributive property on LHS in the given equation we have;

9x+9 =25 +x

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Therefore, the value of x for the equation 9(x+1) = 25+x is, 2


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3 years ago
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