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Law Incorporation [45]
4 years ago
10

What is the lcm of 3,9, and 15?

Mathematics
2 answers:
blagie [28]4 years ago
7 0

The LCM of any set of numbers that has a prime or a number of primes in common.  The way to find it is to factor the given number down to it's primes.

3: 3

9: 3 * 3

15: 3 * 5

The number which has been bolded is the LCM in this case 3 <<<< Answer

This is not a particularly good question to learn what it might be Try these 3 numbers.

42: 2*3 * 7

84: 2 * 2 * 3 * 7

210: 2*5 * 3 * 7

The LCM for this bunch is 2 * 3 * 7 = 42


s344n2d4d5 [400]4 years ago
3 0

The least common multiple that is common in all numbers but is the lowest is 3 and it's the only number that all numbers listed can be divided easily by.

Hope this helps!

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What is the value of x?
melisa1 [442]

Answer:

x=71

Step-by-step explanation:

38+x+x=180

x+x=142

2x=142

x=71

3 0
3 years ago
Abby used 3 3/4 of drink mix to make 10 cups of drinks.
Fittoniya [83]

1) 3 x 4 = 12 + 3 = 15/10= 1.5

1.5/4 =<em> 3/8 drink mix for one drink</em>

2) 22/8

22/3=7.3

<em>so 7 cups of drinks </em>


6 0
4 years ago
Read 2 more answers
Explain why graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality.
Nadya [2.5K]
The saying "A picture is worth a thousand words" comes to mind here. You can list all of the possible points in a solution region, or you can list a few points to give the general pattern. Though this method requires a bit more work than simply graphing and showing the solution shaded region. A visual is often more efficient at conveying a message especially to those who aren't proficient with algebra. I'm sure there are other reasons why graphs are the better choice, but that's all I could think of really.
6 0
3 years ago
Read 2 more answers
Prove divisibility 45^45·15^15 by 75^30
Anuta_ua [19.1K]

Answer:

3^{75}

Step-by-step explanation:

We are asked to divide our given fraction: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(3*15)^{45}=3^{45}*15^{45}

75^{30}=(5*15)^{30}=5^{30}*15^{30}

Substituting these values in our division problem we will get,

\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}

\frac{3^{45}*15^{60}}{5^{30}*15^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{45}*15^{60-30}}{5^{30}}

\frac{3^{45}*15^{30}}{5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{3^{45}*(3*5)^{30}}{5^{30}}

\frac{3^{45}*3^{30}*5^{30}}{5^{30}}

Upon canceling out 5^{30} we will get,

3^{45}*3^{30}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

3^{45+30}

3^{75}

Therefore, our resulting quotient will be 3^{75}.

8 0
3 years ago
What is the domain of the function shown on the graph?
blondinia [14]

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

4 0
3 years ago
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