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ruslelena [56]
4 years ago
6

Match the two numbers with their least common multiple (LCM).

Mathematics
2 answers:
jarptica [38.1K]4 years ago
8 0

Answer:

Step-by-step explanation:

We have to find the LCM of the given numbers and match then with their options given.

LCM of 10 and 4

factors of 10 = 2 × 5

factors of 4 =  2 × 2

LCM = 2 × 5 × 2 = 20         Matches (C)

LCM of 10 and 6

factors of 10 = 2 × 5

factors of 6  = 2 × 3

LCM = 2 × 3 × 5 = 30           Matches (A)

LCM of 10 and 8

factors of 10 = 2 × 5

factors of 8 = 2 × 2 × 2

LCM = 2 × 5 × 2 × 2 = 40      Matches (B)

eduard4 years ago
7 0
LCM:
10:  0,10,20,30,40,50
4:  0,4,8,12,16,20
ANSWER IS 20

LCM:
10:  see above numbers
6:  0,6,12,18,24,30
ANSWER IS 30

So, 10 and 8 would be 40
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What is the correct justification for the first step in solving this
Bas_tet [7]

The correct justification for the first step in solving the provided equation is that the first step should be distributive Property

<h3>What is the property of equality?</h3>

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The equation given in the problem is,

3(x - 4) + 1 = 12x

To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.

This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,

3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x

Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.

Learn more about the property of equality here;

brainly.com/question/1601404

4 0
3 years ago
Read 2 more answers
a student ran out of time on a multiple choice exam and randomly guess the answers for two problems each problem have four answe
katen-ka-za [31]

Answer:

The probability that he answered neither of the problems correctly ​is 0.0625.

Step-by-step explanation:

We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.

Let X = <u><em>Number of problems correctly ​answered by a student</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r}\times p^{r}\times (1-p)^{n-r};x=0,1,2,3,....    

where, n = number of trials (samples) taken = 2 problems

           r = number of success = neither of the problems are correct

           p = probability of success which in our question is probability that

                 a student answer correctly, i.e; p = \frac{1}{4} = 0.75.

So, X ~ Binom(n = 2, p = 0.75)

Now, the probability that he answered neither of the problems correctly ​is given by = P(X = 0)

             P(X = 0) = \binom{2}{0}\times 0.75^{0}\times (1-0.75)^{2-0}

                            = 1 \times 1\times 0.25^{2}

                            = <u>0.0625</u>

6 0
4 years ago
5-10/8=<br><br> 3 6/8<br> 4 6/8<br> 3 2/8<br> 6 2/8
Oksi-84 [34.3K]

Answer:

3 6/8

Step-by-step explanation:

5 = 5

10/8 = 1 2/8

5 - 1 = 4

4 - 2/8 = 3 6/8

7 0
3 years ago
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What is 3z+2+(-5z)+6
BartSMP [9]

Answer:

-2z+8

Step-by-step explanation:

3z+2+(-5z)+6

3z+2-5z+6

-2z+2+6

-2z+8

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4 years ago
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Answer:3,4,5

Step-by-step explanation:

8 0
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