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3 years ago

3x+3=3y 2x-6y=2 (Solving Systems Of Linear Equations By Elimination)

1 answer:

8 0

3x+3=3y ⇒ 3y-3x=3 ⇒3(y-x)=3 ⇒ y-x=1
2x-6y=2 ⇒ 2(x-3y)=2 ⇒ x-3y=1

We must to collect two equations.
x's is lost;
y-3y=2
-2y=2
y=-1 ; x-3.(-1)=1 ⇒ x=-2

Answer is (-2,-1)

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How much did jennie earn if she got $40 for babysitting plus a 15% tip

vazorg [7]

Answer:

$46

Step-by-step explanation:

100% of 40 is 40. 10 percent of 40 is 4. 5% of 40 is 2. 40+4+2=46.

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2 years ago

The area of a triangle varies jointly with the lengths of its base and height. A triangle with a base of 10 ft and a height of 4

Assoli18 [71]

Answer:

<h2>12 square ft </h2>

Step-by-step explanation:

<h3>base = 3ft. and height = 8ft. </h3><h3>area of triangle = 1/2 ×base × height</h3><h3> = 1/2 ×3 × 8</h3><h3> = 24 /2</h3><h3> = 12 square ft. </h3>

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3 years ago

The correct scientific notation for the number 500.0 is

marishachu [46]

Answer:

The correct scientific notation for the number 500.0 is $500=5.0\times10^2$

Step-by-step explanation:

While writing a large number in scientific notation we do below mentioned two things.

We take any number between 1 and 10
Then we multiply this number with an exponent of 10.

Hence, any number in scientific notation is in the form $a\times10^b$

Here a is any number between 1 and 10.

b is exponent of 10.

Now, writing 500 in scientific notation, we take a = 5

Hence, we have to take b = 2, since 5 multiplied by 100 equas 500.

Thus, we have

$500=5.0\times10^2$

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3 years ago

You are searching online for techno music that is neither European nor Dutch. In set notation, which set of music files are you

yuradex [85]

<h2>Answer: </h2><h2>Techno ∩ (European ∩ Dutch)'</h2>

Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and

Dutch , while (European ∩ Dutch)' represents neither

European nor Dutch .

Union ( ∪ ) - e.g (European ∪ Dutch) represents either European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents set notation of techno musics that is neither European nor Dutch .

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2 years ago

A study indicates that 37% of students have laptops. You randomly sample 30 students. Find the mean and the standard deviation o

Brilliant_brown [7]

Answer:

The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.

Step-by-step explanation:

Let X = number of students who have laptops.

The probability of a student having a laptop is, P (X) = p = 0.37.

A random sample of n = 30 students is selected.

The event of a student having a laptop is independent of the other students.

The random variable X follows a Binomial distribution with parameters n and p.

The mean and standard deviation of a binomial random variable X are:

$\mu=np\\\sigma=\sqrt{np(1-p)}$

Compute the mean of the random variable X as follows:

$\mu=np=30\times0.37=1.11$

The mean of the random variable X is 1.11.

Compute the standard deviation of the random variable X as follows:

$\sigma=\sqrt{np(1-p)}=\sqrt{30\times0.37\times(1-0.37)}=\sqrt{0.6993}=0.836$

The standard deviation of the random variable X is 0.836.

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3 years ago