A student solved this problem by working backward.

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a

saw5 [17]

Answer:

Alejandro went to 8 matinee shows and 4 evening shows.

Our system of equations:

x + y = 12

7x + 12y = 104

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

y = 4 ⇒ x = 12 - 4 = 8

Alejandro went to 8 matinee shows and 4 evening shows.

4 0

2 years ago

In which direction will this parabola open y=-37(x-82)^2-16

sergij07 [2.7K]

Since the 37 is negative the parabola will open downward.
The coefficient on the outside of the ^2 tells you if it opens up or down. If it's positive it opens upward and if it's negative it opens downward.
For the parabola to open sideways it would be a form of x = y^2

4 0

2 years ago

Find the product. (-2x^2)^3 ·3x

Dafna11 [192]

Answer:

-24 x^7

Step-by-step explanation:

(-2x^2)^3 ·3x

(-2x^2) (-2x^2) (-2x^2)*3x

-8 x^6 *3x

-24 x^7

3 0

2 years ago

Question 1 (10 points). (a) Explain the difference between linear and logistic regression. (Explain at least two differences and

cricket20 [7]

Answer:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set. Logistic regression we predict the dependent variable which is categorical using a set of independent variables.

(b) Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

Step-by-step explanation:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set .whereas In the logistic regression we predict the dependent variable which is categorical using a set of independent variables. Linear regression is regression problem solving method while logistic regression is having use for solving the classification problem.

(b) Example: Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

If I am to predict that increasing or reducing the X will have an effect on the input variable X or by how much we will make a regression to find the variance that define the relationship or strong relationship status between them. I will run the regression on any computing software and check the stats result to measure the relationship and plots.

3 0

2 years ago

The produce manager at a market orders 10 lb of tomatoes, 20 lb of zucchini, and 40 lb of onions from a local farmer one week.

rewona [7]

Answer:

(A) $A=\left[\begin{array}{ccc}10&20&40\end{array}\right]$

(B) $B=\left[\begin{array}{ccc}11&22&44\end{array}\right]$

(C) $A+B=\left[\begin{array}{ccc}21&42&84\end{array}\right]$

Step-by-step explanation:

The manager ordered 10 lb of tomatoes, 20 lb of zucchini, and 40 lb of onions from a local farmer one week.

(A)

Matrix A represents the amount of each item ordered. It is 1 × 3 matrix.

Then matrix A is:

$A=\left[\begin{array}{ccc}10&20&40\end{array}\right]$

(B)

Next week the manager increases the order of all the products by 10%.

Then the amount of new orders are:

Tomatoes $=10\times [1+\frac{10}{100}]=10\times1.10=11$

Zucchini $=20\times [1+\frac{10}{100}]=20\times1.10=22$

Onions $=40\times [1+\frac{10}{100}]=40\times1.10=44$

Th matrix B represents the amount of each order for the next week. Then matrix B is:

$B=\left[\begin{array}{ccc}11&22&44\end{array}\right]$

(C)

Add the two matrix A and B as follows:

$A+B=\left[\begin{array}{ccc}10&20&40\end{array}\right]+\left[\begin{array}{ccc}11&22&44\end{array}\right]\\=\left[\begin{array}{ccc}(10+11)&(20+22)&(40+44)\end{array}\right]\\=\left[\begin{array}{ccc}21&42&84\end{array}\right]$

The entries of the matrix (A + B) represent the amount of tomatoes, zucchini and onions ordered for two weeks.

5 0

2 years ago