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3 years ago

Explicación del ejercicio 3y=-12+3x

1 answer:

3 0

Simplifying
3y = 12 + 3x

Solving
3y = 12 + 3x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '3'.
y = 4 + x

Simplifying
y = 4 + x

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3 years ago

Pls answer! I don’t know math @ all

Lana71 [14]

The probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4 is $\frac{5}{12}$ .

Solution:

Total number of outcomes N(S) = 36

Let A be the sum that is a multiple of 6 and

B be the sum that is a multiple of 4.

Sum that is a multiple of 6 = (1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6)

N(A) = 6

Sum that is a multiple of 4 = (1, 3), (2, 2), (2, 6), (3, 1), (3, 5),

(4, 4), (5, 3), (6, 2), (6, 6)

N(B) = 9

$$P(A)=\frac{N(A)}{N(S)}$

$$P(A)=\frac{6}{36}=\frac{1}{6}$

$$P(B)=\frac{N(B)}{N(S)}$

$$P(B)=\frac{9}{36}=\frac{1}{4}$

Probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4:

$P(A \cup B)=P(A)+P(B)$

$$P(A \cup B)=\frac{1}{6} +\frac{1}{4}$

$$=\frac{2+3}{12}$ (Make the denominator same)

$$=\frac{5}{12}$

Hence the probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4 is $\frac{5}{12}$ .

8 0

3 years ago

(1/3+5/6)*m ( let m=1/4

olga55 [171]

Answer:

The value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Step-by-step explanation:

Considering the expression

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$m=\frac{1}{4}$

As the expression is

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

Putting $m=\frac{1}{4}$ in the given expression would bring:

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}$

$\mathrm{Join}\:\frac{1}{3}+\frac{5}{6}:\quad \frac{7}{6}$

$=\frac{7}{6}\cdot \frac{1}{4}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{7\cdot \:1}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:7\cdot \:1=7$

$=\frac{7}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:4=24$

$=\frac{7}{24}$

Therefore, the value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Keywords: algebraic expression

Learn more about simplifying algebraic expression from brainly.com/question/4687406

#learnwithBrainly

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An altitude is a line which passes through a vertex of a triangle, and is at right angles to the opposite side. A triangle has three altitudes.

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If the sum of the measures of the interior angles of a convex polygon is 2160°, how many sides does the polygon have?

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