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patriot [66]
3 years ago
6

3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the <u>prime factorization</u> of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the <u>highest exponent</u> in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

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∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?
madam [21]

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Answer: The area is 572.5566

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lutik1710 [3]
The best way to solve this problem is by plugging in each answer choice for both equations and seeing which one works. You can already see that choice A doesn't work because -1 is not greater than or equal to 4. That means you just need to test choices B and C!

Choice B (4, -2)
x + y  \geq 6\\&#10;4 + -2  \geq 6\\&#10;2  \geq  6 &#10;
2 is not greater than or equal to 6, so choice B doesn't work.

Choice C (4, 2)
x + y \geq 6\\ &#10;4 + 2 \geq 6\\ &#10;6 \geq 6 \\\\&#10;x  \geq 4\\&#10;4 \geq 4
Since 6 is equal to 6 and 4 is equal to 4, choice C works!

-------

Answer: C) (4, 2)
6 0
2 years ago
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