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valentinak56 [21]
3 years ago
5

If n is the least of two consecutive odd integers, which of the following represents the sum of the two integers?

Mathematics
1 answer:
Airida [17]3 years ago
8 0
    Let the first odd integer = n
∴ The second <span>consecutive odd integer = n+2

∴ </span><span>The sum of the two integers = (n) + (n+2)
                                                 = 2n + 2

</span> The correct choice is option (D)
<span> D) 2n + 2 </span>
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Find the equivalent equation that does not contain fractions 2/3 x 7=1/2
mariarad [96]

Answer:

4x + 42 = 3

Step-by-step explanation:

Given:

\frac{2}{3}x + 7 = \frac{1}{2}

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

2 = 2,4,6,8,10,..

3 = 3,6,9,12..

So, 6 is the least common multiple.

Multiply both sides by 6

6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6

6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6

\frac{12}{3}x + 42 = \frac{6}{2}

4x + 42 = 3

<em>Hence, an equivalent expression.</em>

3 0
2 years ago
On a coordinate plane, a line goes through (negative 4, 2) and (negative 2, negative 4). Which are solutions of the linear equat
hammer [34]

Answer:

Y = (-3) *X - 10

solution for Y =0 ---> X = -10/3

Step-by-step explanation:

Two points:

(Y0 ; X0) = (-4 ; 2)  

(Y1 ; X1) = (-2 ; -4)

There is only one line which pass for both of them, his general expresion is:

y = a*x + b --- (1)

Calculating "a": is the pending of the line.

a = \frac{Y1 - Y0}{X1 - X0} = \frac{(-4) - (2)}{-2 - (-4)} =\frac{-6}{2} = -3

Calculating "b":

Since every point who belongs to the line satisfied the (1) expresion, we can use it for the point (Y1 ; X1) :

Y0 = (-3)*X0 + b  ---> 2 = (-3)*(-4) + b ---> b = -10

<u>Final expresion</u>

Replacing in (1): Y = (-3) *X - 10

Solutions: Y = (-3) *X - 10 = 0 --- > X = -\frac{10}{3}

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3 years ago
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2 years ago
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The Greatest Common Factor (GCF) of all those three factors is 6.

The Greatest Common Factor is the greatest Factor in all the numbers. In this set, 12,84,84, 6 is the greatest, making it the Greatest Common Factor.

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