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3 years ago

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

Mathematics

2 answers:

jarptica [38.1K]3 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)

eduard3 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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Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

3 years ago

This is very easy!!

Olenka [21]

Answer:

product

Step-by-step explanation:

hope it helps

5 0

2 years ago

Read 2 more answers

Dakota has four tents kilogram of clay he divided the clay to make eight equal size pots how many grams of clay are in each pot

sukhopar [10]

Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:

Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.

5 0

3 years ago

Multipy the expreshions (2h+2.7) (2h-27)

Musya8 [376]

Answer:

$4h^2-48.6h-72.9$