How are factors related to prime numbers?

Mathematics

1 answer:

melomori [17]3 years ago

7 0

They have some of the same numbers

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The ratio of trucks to cars in a parking lot was 5 to 2. How many trucks were in the lot if there where 18 cars?

Elena L [17]

90 trucks- for every 2 cars there are 5 trucks

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3 years ago

How do you factor the common factor out of 30x^2-12x

Anika [276]

The answer would be 6x(5x-2).

Since both terms have x in them, x will be apart of your answer.

The GCF of 12 and 30 is 6.

So you can factor out 6x from both terms.

Hope this helps!

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3 years ago

As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou

GenaCL600 [577]

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$2x - 3y = 12 \hspace{5mm} \hdots (1)$

$5x + 6y = 18 \hspace{5mm} \hdots (2)$

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$12x - 18y = 72 \hspace{15mm} \hdots (a)$

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$15x + 18y = 54 \hspace{5mm} \hdots (b)$