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SIZIF [17.4K]
3 years ago
5

When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If

you pay $90, how many months of use do you get?
Mathematics
2 answers:
Len [333]3 years ago
7 0
You get three free months of the movie service. Then you get 6 additional months of the service because 90/15=6. You receive a total of 9 months for paying $90.
Cerrena [4.2K]3 years ago
5 0
Nine months because you divide 90 by 15 and get six and then you add three for the free months for a total of nine
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8 0
4 years ago
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Solve the following quadratic equation 3x²-8x+5=0<br>​
nekit [7.7K]

To solve this equation, let's factor the left side.

Although you can factor it in different ways, I will show you a trick.

First, forget about the 3 and we have x² - 8x + 5.

Now, multiply the 3 by the constant to get 15.

So we have x² - 8x + 15.

Now factor to get (x - 5)(x - 3).

Now divide each of the constants in the

binomials by the leading coefficient, 3.

So we have (x - 5/3)(x - 3/3).

Simplify to get (x - 5/3)(x - 1).

Now move any denominators in front of the x in the binomial.

Moving the 3 in front of the x, we have 3x.

So our answer is (3x - 5)(x - 1) = 0.

So either 3x - 5 = 0 or x - 1 = 0.

Solving from here, we get x = 5/3 or x = 1.

8 0
3 years ago
How may different arrangements are there of the letters in ALASKA? 7 of 10 (5 complete) HW Score: 26.15% E Que The number of pos
Lubov Fominskaja [6]
<h2>Answer:</h2>

The number of possible arrangements is : 120

<h2>Step-by-step explanation:</h2>

We know that in order to find the different arrangements which are possible we need to use the method of permutation.

The arrangement of a given word is calculated as the ratio of the factorial of number of letters to the product of factorial of numbers the number of times each letter is repeating.

The word is given to be:

                    ALASKA

There are a total of 6 letters in the given word

Out of which a letter "A" is  repeating  3 times.

Hence, the number of arrangements possible are:

        =\dfrac{6!}{3!}\\\\\\=\dfrac{6\times 5\times 4\times 3!}{3!}\\\\\\=6\times 5\times 4\\\\\\=120

4 0
3 years ago
Based on the graph, what is the initial value of the linear relationship?
Fofino [41]

The initial value of the linear relationship is 5.

Solution:

  • The y-intercept is the point where the line crosses at y-axis.
  • The initial value of the linear function is the y-intercept.

On observing the graph, the line crosses y-axis at the point (0, 5).

So, y-intercept = 5

That is initial value = 5

Therefore the initial value of the linear relationship is 5.

4 0
3 years ago
A pet store conducted a survey on the types of pets owned by the stores customers. construct a two-way table summarizing the dat
Inessa [10]

Answer:

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

Step-by-step explanation:

From the table you can see that

  • 45 customers own cat and dog;
  • 78 own only cat, then 78+45=123 customers own cat;
  • 125 own only dog, then 125+45=170 customers own dog;
  • 52 own neither cat, nor dog;
  • 78+45+125+52=300 customers in total;
  • 300-123=177 customers do not own cat;
  • 300-170=130 customers do not own dog.

Two-way table is

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

5 0
3 years ago
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