The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?

Answers

Answer 1

Answer:

16 new releases and 22 classic movies.


Related Questions

What is the square root of 121 ?​

Answers

Answer:

√121 = 11

Explanation:

11 × 11 = 121

Answer:

11

Step-by-step explanation:

The square root of 121 is 11.

= 11*11 = √(121)

= 121 = 11

done

e) 35-12 + 6 x 36 /4

Answers

Solution :

77

Step by Step explained:

1. Multiply the number

[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]

2. Divide the number

[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]

3. Add the numbers

[tex]35 - 12 + 54 \\ 77[/tex]

Solution :

77

Tempest graphs a function that has a maximum located at (-4, 2). Which could be her graph?

Answers

Please show the graph so that I could respond, but here’s it graphed with an online graph calculator: The point A is where they intersect

[tex]2\frac{2}{5}[/tex]

Answers

A fraction is a way to describe a part of a whole. The decimal form of 2 2/5 is 2.4.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The decimal form of 2 2/5 can be written as,

2 2/5 = 2 + 2/5 = 2 + 0.4 = 2.4

Hence, the decimal form of 2 2/5 is 2.4.

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It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substitute it back in, it should always be true and equal the answer in the original equation(?).
For this equation, the answer was x=7, but when I substitute it back in, I was unable to get the original solution back, which means it is “no solution” after all.
Why is that?

Answers

Let's replace every copy of x with 7 and simplify.

[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\[/tex]

Which is clearly false. This is probably the set of steps you followed to get "no solution".

Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\[/tex]

Recall that the result of a square root operation is never negative. The range of [tex]y = \sqrt{x}[/tex] and [tex]y = \sqrt{5x+1}[/tex] is the set of nonnegative numbers. There is no way we can have the left hand side result in -6

If there was a negative sign out front the square root and we have this instead

[tex]-\sqrt{5x+1}+9 = 3\\\\[/tex]

then the answer would be x = 7

Unfortunately, there isn't such a negative sign, so we stick with "no solutions".

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.

What is the theoretical probability that applesauce and broccoli will both be offered on Monday?

10%
20%
50%
80%

Answers

Answer:

20%

Step-by-step explanation:

The theoretical probability that applesauce and broccoli will both offered on monday is 20%.

What is combination?

A combination is a way of selecting items from a collection where the order of selection does not matter. It is calculated by

[tex]^{n} C_{r} = \frac{n!}{(n-r)!}[/tex]

Where,

[tex]^{n} C_{r}[/tex] is the total number of combinations.

n is the total number of objects

r is the number of objects selected.

What is theoretical probability?

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

According to the question.

There are total 6 dishes.

Manger have to choose three dishes for monday.

Now the total number of combination of selecting 3 dishes from 6 dishes

[tex]=^{6} C_{3}[/tex]

[tex]= \frac{6!}{3!(6-3)!}[/tex]

[tex]= \frac{6\times5\times4\times3!}{3\times2\times1\times3!}[/tex]

[tex]=20[/tex]

So, the manager has total 20 choices to select three dishes randomly out or 6 dishes.

Also, it is given that for monday applesauce and broccolli will both offered so the number of choices or combination or the three dishes will be

Applesauce, broccoli, and cornapplesauce, brocolli, and dumplingsapplesauce, brocolli, and egg rollsapplesauce, brocolli, and french fries

Therefore, the theoretical probability that applesauce and brocoli will both be offered on monday

[tex]= \frac{4}{20}\times100[/tex]

[tex]= \frac{1}{5} \times 100\\= 20\%[/tex]

Hence, the theoretical probability that applesauce and broccoli will both offered on monday is 20%.

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A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red marble​

Answers

Step-by-step explanation:

Number of red = 2Number of blue = 5Number of green = 3total number of marbles = 10probability of not choosing a red marble = 1--choosing a red marble.

Because probability is always one(1).

Probability =

[tex]1 - \frac{2}{10} [/tex]

[tex] \frac{8}{10} [/tex]

[tex] \frac{4}{5} [/tex]

Is the probability of not choosing a red marble.

sin A tan A/ 1 - cos A = 1+ sec A​

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\sin A \tan A}{1- \cos A}\\\\\\=\dfrac{\sin A \cdot \tfrac{\sin A}{\cos A} }{ 1- \cos A}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\tan A = \dfrac{\sin A }{\cos A}\right]\\\\\\=\dfrac{\tfrac{\sin^2 A}{ \cos A}}{1- \cos A}\\\\\\=\dfrac{\sin^2 A}{\cos A(1-\cos A)}\\\\\\=\dfrac{1-\cos^2 A}{\cos A( 1- \cos A)}~~~~~~~~~~~~~~~~~~~~~~~~;[\sin^2 A + \cos^2 A = 1]\\\\\\[/tex]

[tex]=\dfrac{(1+ \cos A)(1 - \cos A)}{\cos A(1 - \cos A)}\\\\\\=\dfrac{1+ \cos A}{ \cos A}\\\\\\=\dfrac{1}{\cos A} + \dfrac{\cos A}{ \cos A}\\\\\\=\sec A + 1 \\\\\\=1+ \sec A\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

At her sisters birthday party Cheyenne thought it would be funny to drink lemonade from a party hat if the radius is 4.8 cm and the height of a hat is 12 cm how many cubic centimeters of lemonade can Cheyenne pour into the hat

Answers

Answer:                             (In ''pi'' terms)

92.16 pi cm^3.

Step-by-step explanation:

Shape of a party hat : conical

Volume of a cone = (1/3)(pi)(r^2)(h)

(pi(1/3)(23.04)(12))cm^3

Therefore, approximately

92.16 pi cm^3.

) Find the domain of definition
a) f(x)=3x-1/√1-5x​

Answers

Answer:

(-∞, 1/5)

Step-by-step explanation:

[tex]f\left( x\right) =\frac{3x-1}{\sqrt{1-5x} }[/tex]

f is defined ,if and only if ,

1 - 5x > 0

⇔ 1 > 5x

⇔ 1/5 > x

⇔ x < 1/5

Please I need help ASAP

Answers

Answer: 50 mg

Step-by-step explanation:

Substituting into the half-life formula, we get that

[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]

So, after 100 years,

[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/tex]

Help asap I DONT KNOW THIS QUESTION!!!

Answers

Answer:

a and b is ur answer

Step-by-step explanation:

a and b is your answer…………..

Cost of Bikes ($) at Bike Shop
312, 352, 480, 392, 368, 352, 416, 640
b. median
The median is?

Answers

Answer:380

Step-by-step explanation:sort the list, take center value or mean of center values if even number of items in list

A group of 31 friends gets together to pay a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?(It is possible that not everyone can be on a team)

Answers

Answer:

10 teams (1 remainder)

Step-by-step explanation:

if each team has 3 players and there are 30 friends, divide that and youll end up with 10 teams. you will also have 1 remaining player

Dayshawn can choose two of his four t-shirts to take on a weekend trip.

If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?

S = {ABCD}
S = {ABCD, DCBA}
S = {AB, AC, AD, BC, BD, CD}
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}

Answers

Answer:

it is  C    S = {AB, AC, AD, BC, BD, CD}

Step-by-step explanation:

i just took it edge 2022 good luck

The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we  have,

Given :

Total T-shirts =4

He chose T-shirt to take on weekend trip = 2

In an random trial or experiment , the set of all possible outcomes or results of that experiment is called the sample space of it.

If the t-shirts are labeled A, B, C, and D,

then its sample space of the event is given by

S= {AB, AC, AD, BC, BD, CD}

Hence, The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}

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What fraction is equal to 5

Answers

Answer:

5/1

Step-by-step explanation:

because 1 in the denominator means the number has no denominator

Which number produces an irrational number when added to 1/3 ?

A. -1/7

B. 2.4494897

C. 0.464646

D. Square root 9

Answers

It is B, 100 percent sure

Riley took tests in science.

​Each test had a different score.
The mean score of the tests was .
The median score of the tests was .
Based on this information, select the two statements that must be true.
A. At least one score was exactly 85%
B. At least one score was exactly 90%
C. More than half of the scores were 85% or greater.
D. More than half of the scores were 90% or greater.
E. There were no scores less than 90%
F. There were no scores less than 85%

Answers

Answer:c

Step-by-step explanation:heheh

Answer: C

Step-by-step explanation:

Which combined inequality has the same solution set shown in the graph of x?



Number line ranging from negative four to four, with a line beginning with an open point at negative three and ending with a closed point at negative one


–3 > x ≥ –1


–3 < x ≤ –1


–3 ≤ x < –1


–3 ≤ x > –1

Answers

Step-by-step explanation:

an open (empty) point means the point itself is not included.

a closed (filled) point means the point itself is included.

the x values going from -3 (not included) to -1 (included) means

-3 < x <= -1

so, the second answer is correct.

Kindly solve all the questions below .​
I'll give the brainliest

Answers

(4)

1. 11.444 repeater

2. 0.58333 repeater

3. 6.7333 repeater

4. 27.5454 repeater (on both 5 and 4)

5. 1.482517482517 (482517 repeater)

6. 2.285714285714 (285714 repeater)

7. 7.5666 repeater

8. 60.60606060 (60 repeater)

(5)

1. 0.666 (repeater)

2. 0.3666 (repeater)

3. 1.1818181818 (18 repeater)

4. 0.418181818 (18 repeater)

5 more than n is the quotient of n and 4

Answers

We get an equation: n+5 = n/4

9,10,12,x,20,25 find x the median is 14

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

12+16=28

28/2=14

please give brainliest!

hope this helps :)

The width of a rectangle is 32 inches shorter than twice its length. The area of the rectangle is 72 square inches. What is the length of the rectangle?

Answers

Answer:

18 inches

Step-by-step explanation:

Equation is (2x-32)(x)=72, where x represents length and (2x-32) represents the width. When you simplify the equation, it ends up as 2x^2-32x-72=0. After factoring, you get 2(x-18)(x+2). Since x cannot be negative, it would therefore be 18. If you plug it back into the equation, you can see that it is right :)


The polynomial 40p + 50f + 90 represents the amount of ink, in milliliters, of printing "p" poster and f flyers in
colour. The polynomial 15p+20f + 45 represents the amount of ink, in milliliters, of printing "p" poster and f flyers
in black and white.
How much ink is saved (HINT: use subtraction) if someone prints 26 posters and 45 flyers in black and white rather
than in colour?
ongle below. Then determine the area when

Answers

color : 40p + 50f + 90

b&w : 15p+20f + 45

p = 26

f = 45

[substitute the values given]

color : 40(26) + 50(45) + 90

b&w : 15(26)+20(45) + 45

[solve the equation]

color : 3380

b&w : 1335

[subtract to see how much ink is saved]

3380 - 1335 = 2045

What are the coordinates of the turning point of the parabola whose equation is
y = x² - 4x + 48
(1) (2.0) (2) (-2, 16)
(3) (2,-4)
(4) (-2,0)
What is the equation for the axis of symmetry for: y = -x² - 2x-1
(1) x= 1 (2) X=-1
(3) y = 1
(4) y = -1
If the roots of a quadratic equation are -2 and 3, the equation can be written as:
1) (x-2)(x+3) = 0
3) (x + 2)(x + 3) = 0
2) (x + 2)(x-3) = 0
4) (x-2)(x-3) = 0
The equation of the axis of symmetry of the graph of y=2x2-3x+7 is
3
3
3
3
(1) X
(2) y=-
(3) X=-
(4) y=-
4
2
2
Ex7: What are the vertex and axis of symmetry of the parabola shown in the graph below?
(1) Vertex (1. 6); axis of symmetry: y=1
(2) Vertex (1, 6); axis of symmetry: x = 1
(3) Vertex (6, 1); axis of symmetry: y = 1
(4) Vertex (6, 1); axis of symmetry: x = 1

Answers

i really hope this helps :))))

How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?

a) It is translated 1 unit right and compressed vertically by a factor of 3.

b) It is translated 1 unit left and compressed vertically by a factor of 3.

c) It is translated 1 unit right and stretched vertically by a factor of 3.

d) It is translated 1 unit left and stretched vertically by a factor of 3.

Answers

Answer:

Step-by-step explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

Red: y = x^2

Blue: y= 3(x + 1)^2

You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.

The 3 is a little harder. It narrows the red mother graph. Which choice says that?

The choice is between b and d. Why. Because the blue graph is to the left of the red one.

You have to learn the meaning of compressed. A better word might be narrows.

Answer

B

Question 17
Consider the equation y = 15 - 4x.
Which of the following is a graph of this equation?

Answers

The graph of the given linear equation is the one that you can see below.

How to get the graph of the linear equation?

To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.

For x = 0 we have:

y = 15 - 4*0 = 15

So we have the point (0, 15).

For x = 1 we have the point:

y = 15 - 4*1 = 11

So we have the point (1, 11).

Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.

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Find the sum of the interior angles for the polygon that has twice the number of sides as an octagon.

Answers

Answer:

The sum of the interior and exterior angles = 8640+360 = 9000 deg. So, the regular polygon has 9000/180 = 50 sides. Its name is pentacontagon

Step-by-step explanation:

Which measure of central tendency is the most affected by outliers

Median

Mean

Midrange

Mode


(Is it the mean or midrange?)

Answers

Mean measure of central tendency is the most affected by outliers. Then the correct option is B.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

Mean measure of central tendency is the most affected by outliers.

Then the correct option is B.

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what is the perimeter of the square ABCD?

Answers

Answer:

P= 4a would be the answer

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Change each value of the quadratic equation. How does it change the graph? For the reaction N2O4(g) 2 NO2(g), Kc = 0.21 at 100 C. At a point during the reaction, [N2O4]=0.12 M and [NO2]=0.55M. Is the reaction at equilibrium? If not, in which direction is it progressing? What is a casual relationship? Find the slope of the line passing through the points -2,7 and -6,3 Select the correct answer. In which way are the Articles of Confederation and the US Constitution similar? A. Both allow the federal government to create a uniform federal tax rate. B. Both allow the federal government to require state payments. C. Both allow the federal government to regulate trade. D. Both allow the federal government to coin money. Write a brief analysis of the auditory and visual clues used in an advertisement. your response of at least 200 words should discuss the visual and auditory clues. identify each clue and explain how each clue helps you understand the advertisement. 20 POINTS!!! HELP MEIn what type of behavior does an individual adopt the beliefs of a person whom he or she admires?A. identificationB. imitationC. social learningD. classical conditioningE. operant conditioning Several students are talking about the television shows they watch. Complete the sentences describing their reactions by filling in the blanks with the correct verb in parentheses. Remember to include the indirect object pronoun.A m ______________ (aburrir) los programas de la vida real.A Roberto y a Adela no __________ (gustar) las noticias.A ti _____________ (encantar) el programa de dibujos animados "Tikitrn." A Ud. no _____________ (interesar) la telenovela "Hospital Central." A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw what is its first derivative For many years, Mexico lagged behind the United States in its development. In recent years, it has shown significant improvements. Thesechanges led economists to label it asa newly industrialized country.a special economic zone.a less developed nation.a middle income nation. The young widow always wear white clothes (change into negative) A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation is 9.39 years. a) Construct a 80% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the interval have been met. b) How large is the margin of error? a) What is the confidence interval? b) What is the margin of error? The margin of error is Keiko bought 13 pounds of sugar for $6. How many dollars did she pay per pound of sugar? How was the rise of communism in the Soviet Union like the rise of communism in China?Economic growth in both Russia and China was very positive just before communism began.Communism reached both Russia and China shortly after military leaders seized power.Both Russia and China went to war with the United States before adopting communism.Both Russia and China became communist nations right after a civil war. What form ofdecompositiondodecomposersperform?A. mechanicalB. chemicalC. autotroph As a group of soldiers marches along a road, each soldier steps simultaneously. However, when crossing a bridge, the group does not step simultaneously in order to prevent the bridge from vibrating intensely. The phenomenon responsible for the intense vibrations is Look at the photo and answer the question.Please dont just put the answer at the top of the text and dont make it hard to find. Determine if the two triangles are congruent. If they are, state how you knowA) ASAB) AASC SASD SSS