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Cerrena [4.2K]
3 years ago
13

C Betty rearranged the movies on her shelving unit after a few days. She placed equal numbers of movies on the bottom 3 shelves,

and 10 movies on each of the top two shelves. If x is the number of movies on each of the bottom 3 shelves, the expression for the total number of movies on the shelving unit is 3x + 20. How many movies are on the shelving unit if there are 11 movies on each of the bottom 3 shelves?
Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

There are total 53 movies on the shelving unit

Step-by-step explanation:

<u>DATA</u>

Equal movies on the bottom 3 shelves: 3x

10 movies on each of the top 2 shelves = 2*10 = 20

<u>Equation:</u>

3x + 20

<u>Question:</u>

Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11

<u>Solution:</u>

3x + 20

3(11) + 20 = 33 + 20 = 53

Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.

Keywords: equation

Learn more about equation at

  • brainly.com/question/1284310
  • brainly.com/question/13168205

#LearnwithBrainly

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Please help me out :((
olga_2 [115]

Answer:

1) 5*x + 6 = 2 + 3*x

5*x - 3*x = 2 - 6

(5 - 3)*x = -4

2*x = - 4

x = -4/2 = -2

x = -2

We have only one solution.

2) 2*(6 - 2*y) = -1*(4*y - 9)

12 - 4*y = -4*y + 9

12 - 9 = -4*y + 4*y = 0

3 = 0

This is absurd, so this equation has no solution.

3) 2*z - 6 = 2*(z + 2) - 10

2*z - 6 = 2*z + 4 - 10

2*z - 6 = 2*z - 6

Here we have the exact same thing on both sides of the equation, then we have infinite solutions, this happens because z can take any value, and the equation will be true always.

4) We want to have no solutions, so we need to end with something like:

1 = 6

so, we start with:

5*x + 1 = 5*x + A

We want to find the value of A.

First, we can subtract 5*x in both sides, so we get:

1 = A

Now we just need to take A different than 1, for example, if A  = 2, then:

1 = 2

In this case the equation has no solutions, then we have:

5*x + 1 = 5*x + 2

5) We want to have one solution:

3*x - 3 = A*x + 11

We want to end with something like x = k

Let's solve the equation for x:

3*x - 3 = A*x + 11

3*x - A*x = 11 + 3

(3 - A)*x = 14

if we take A = 2, then:

(3 - 2)*x = 14

x = 14

So this equation has only one solution, the equation is:

3*x - 3 = 2*x + 11

6) We want to have infinitely many solutions, then we need to have the same thing on both sides, then we need to have an equation like:

8*x - 7 = 8*x - 7

6 0
3 years ago
(5/6) ^4 = ???<br><br>help meh plz oof
erica [24]

Answer:

0.48225308642

Step-by-step explanation:

8 0
3 years ago
I need help with this problem please! Also explain it if that’s possible:)
Tamiku [17]

Answer:

it will 7.5×10^3 hope it helps

8 0
3 years ago
How much time has passed from the first clock to the second clock?
Gelneren [198K]
I believe 4 hours and 35 minutes has passed.

4 0
3 years ago
An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounc
Evgen [1.6K]

Answer:

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X}= \mu = 119.6

And now for the deviation we have this:

SE_{\bar X} = \frac{6.5}{\sqrt{25}}=1.3

So then the correct answer for this caee would be:

c. 1.30 ounces.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X}= \mu = 119.6

And now for the deviation we have this:

SE_{\bar X} = \frac{6.5}{\sqrt{25}}=1.3

So then the correct answer for this caee would be:

c. 1.30 ounces.

6 0
3 years ago
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