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mafiozo [28]
3 years ago
9

Why is the gfc of any two numbers is always even

Mathematics
1 answer:
Sati [7]3 years ago
3 0
There's no "why" because it isn't.

The greatest common factor of two numbers
is only even when the two numbers are even.

==>  The greatest common factor of '14'  and  '21'  is  ' 7 ' .
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Find the missing length indicated <br>thank yall for helping!​
marusya05 [52]
Set up a proportion.

The total side of the “top” line is 8 + 10 = 18. The total side of the “bottom” line is 45. This makes the ratio 18/45.

Now we are trying to find the “larger” bottom segment, let it be x. Because the lines are parallel, the ratio of the “larger” top and bottom segments is equal to the ratio of the whole top and bottom lines.

So 18/45 = 10/x

Reduce 2/5 = 10/x

Cross multiply 2x = 50

Solve x = 25
8 0
2 years ago
Mr. Martinez wants to get a cell-phone plan. He has
garri49 [273]

Answer:

Deal B is better

Step-by-step explanation:

over a year in payment Deal b will be less

6 0
3 years ago
Suppose A and B represent two different school populations where A &gt; B and A and B must be greater than 0. Which of the follo
Virty [35]
<span>A+B)^2 is the largest.  It is A^2+2AB+B^2, which is clearly greater than the last two options.  To compare (A+B)^2 and 2(A+B), we remove one A+B so that we're just comparing A+B and 2.  As A+B must be at least 3 (as both must be positive integers, and one must be greater than the other, leading to a minimum value of A=2, B=1), A+B is greater than 2, and as a result, (A+B)^2 is always the largest.</span>
6 0
3 years ago
What are the factors of the equation 24x^2=9-30x?
Dennis_Churaev [7]

Answer:

3(4x - 1)(2x + 3)

Step-by-step explanation:

Rearrange the equation into standard form

Subtract 9 - 30x from both sides

24x² + 30x - 9 = 0 ← in standard form

Take out 3 as a common factor

3(8x² + 10x - 3) = 0 ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term

product = 8 × - 3 = - 24, sum = 10

The factors are - 2 and + 12

Use these factors to replace the x- term, that is

8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )

2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)

(4x - 1)(2x + 3)

24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form

7 0
3 years ago
Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda co
serious [3.7K]

Answer:

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

Volumen= longitud*ancho*altura

Y reemplazando los valores se obtiene:

1000 m³= 25 m* 20 m* altura

Resolviendo:

1000 m³= 500 m²* altura

altura=\frac{1000 m^{3} }{500 m^{2} }

altura= 2 m

<u><em>La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.</em></u>

7 0
2 years ago
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