Which one is it........

Mathematics

1 answer:

ruslelena [56]3 years ago

3 0

$\begin{cases}4(x+y)=2x+12\\4x+y=x+8\end{cases}\\\\\\
\begin{cases}4x+4y=2x+12\quad|-2x\\4x+y=x+8\quad|-x\end{cases}\\\\\\
\begin{cases}4x+4y-2x=12\\4x+y-x=8\end{cases}\\\\\\
\boxed{\begin{cases}2x+4y=12\\3x+y=8\end{cases}}$

You might be interested in

Four expressions are shown below:

Alina [70]

The answer is A and C, because 4(7x + 2 + x) simplifies to 32x + 8, and expressions A and C also simplify to 32x + 8. I hope this helps!

8 0

3 years ago

How can you recognize linear change from a graph, an equation, a table, or in a real world situation?

Stolb23 [73]

In linear change, the two variables keep increasing or decreasing at the same speed.

7 0

3 years ago

Ashley's mother tells her to see 3/5 of her dollar how much is that

oksian1 [2.3K]

Your answer will be D 0.60

A dollar is 1.00 so 0.60 will be 3/5

5 0

3 years ago

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .