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Vladimir [108]
3 years ago
13

Factor - 1/6 out of - 1/3x + 5/6y

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

\bf -\cfrac{1}{3}x\div -\cfrac{1}{6}\implies -\cfrac{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}x\div -\cfrac{\stackrel{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\implies 2 \\\\\\ \cfrac{5}{6}y\div -\cfrac{1}{6}\implies \cfrac{5}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}y\div -\cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies -5y \\\\[-0.35em] ~\dotfill

\bf -\cfrac{1}{3}x+\cfrac{5}{6}y\qquad \implies \qquad -\cfrac{1}{6}\left( 2x-5y \right)

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Answer:

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Step-by-step explanation

shes pulling RANDOM names. key word random, hope this helped

8 0
3 years ago
If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y
zaharov [31]
We define the probability of a particular event occurring as:
\frac{number\ of \ desired\ outcomes}{number\ of\ possible\ outcomes}

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.

Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:

(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5

So, we have \frac{3}{36} = \frac{1}{12} probability of rolling at least one 5.
6 0
3 years ago
Help me please, its due at night today!!!
postnew [5]

Answer:

Step-by-step explanation:

Area of polygon = area of square + area of triangle

Square:

Side = 12 cm

Area of square  = side *side

                          = 12 * 12

                          = 144 sq.cm

Triangle:

base (b) = 12 cm

Height h = 19 cm

Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\

= 6 * 19

= 114 sq.cm

Area of polygon = 144 + 114 = 258 square cm

4 0
3 years ago
Find an equation of the line described. Store the equation in slop-intercept form when possible.
Finger [1]

Answer:

Y = -5

Step-by-step explanation:

The line needs to be parallel to the y-axis, which means it forms a 90° angle with the y-axis. This means the line we are looking for is a straight horizontal line. The line must pass through the point (-7, -5), but we can disregard the x value since we figured out that the line is perfecly horizontal, so it has no x value. The answer we are left with is y = -5, which is a horizontal line across -5 on the y axis.

Hopefully you can understand my explanation :)

6 0
3 years ago
What is the answer to x/-4 &lt;16
Alexxx [7]

\frac{x}{-4} < 16

16 yı karşıya at;

x/-4-16<0

(-x-64)/4<0

-x-64<0

-64<x

x>-64

7 0
3 years ago
Read 2 more answers
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