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3 years ago

Least common multiple of 30 25 4

Mathematics

1 answer:

White raven [17]3 years ago

5 0

Answer:

The least common multiple of 30, 25, 4 is 150.

Step-by-step explanation:

The given numbers are 30, 25 and 4.

The factors of given numbers are

$30=2\times 3\times 5$

$30=5\times 5$

$4=2\times 2$

The L.C.M of given numbers is a smallest number that divides the given numbers completely.

$L.C.M.=\frac{2\times 3\times 5\times 5\times 5\times 2\times 2}{5\times 2}$

$L.C.M.=2\times 3\times 5\times 5\times 2=150$

Therefore the least common multiple of 30, 25, 4 is 150.

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3 years ago

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

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3 years ago

A pizza shop sold 150 pizzas the first week, 300 the second week, and 450 the third week. If this same pattern continues, how ma

damaskus [11]

Answer:

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Step-by-step explanation:

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3 years ago

Which shows the equation of the line that is parallel to the line 4x + y = 4 and passes through

nikitadnepr [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Help me with this pleaseee…!

masya89 [10]

Answer:

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Step-by-step explanation:

We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.

We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

We can double check by seeing that the other options don't work or aren't enough:

$x\geq 2\\and\\x\leq 2\\and\\x\geq -4$

The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"

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2 years ago