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2 years ago

What is the simplified expression for 6 (2 (y x))? 6 y 12 x 12 y 12 x 12 y 8 x 8 y 8 x

Mathematics

1 answer:

stellarik [79]2 years ago

5 0

The simplified expression for 6(2( y + x)) is 12y + 12x.

Accordin to the given question.

We have an expression

6(2( y + x))

Therefore,

The simplified expression for 6(2( y + x)) is given by

6(2(y + x))

= 6(2y + 2x) (by distributive law)

= 12y + 12x (by distributive law)

Hence, the simplified expression for 6(2( y + x)) is 12y + 12x.

Find out more information about simplified expression here:

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Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?

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3 years ago

Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the

Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is $P(T)=\frac{1}{2}$

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green $P(S)=\frac{2}{3}$

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three $P(C)=\frac{1}{6}$

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

$P=P(T)+P(S)+P(C)$

$P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}$

$P=\frac{3+4+1}{6}$

$P=\frac{8}{6}$

$P=\frac{4}{3}$

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

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