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? x = 8, y = 45 x = 10, y = 22 x = 16, y = 22 x = 18, y = 18

Answers

Answer 1

He'll buy 16 new releases and 22 classic movies.

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.

In conclusion, he'll buy 16 new releases and 22 classic movies.

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https://brainly.com/question/17742381

Answer 2

Answer:

x = 16, y = 22

Step-by-step explanation:


Related Questions

935050 is divisible by which all numbers

Answers

Step-by-step explanation:

2, 5, 10

by 2 because it ends with a 0

by 5 because it ends with a 0

by 10 because it ends with a 0

solve this maths problem​

Answers

Answer:

hope you find it helpful

Evaluate ab for a = 11 and b = 4.

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

ab = 44

▹ Step-by-Step Explanation

a = 11

b = 4

a * b

11 * 4 = 44

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

44

Step-by-step explanation:

ab

Let a = 11 and b = 4

11*4

44

Solve the simultaneous equations 4x+y=10 X-5y=13

Answers

Answer: 4x + y = 10 is -y+10/4                    X-5y=13 is x=5y+13

Step-by-step explanation:

The value of x and y in the equations given are -2 and 3 respectively.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,

4x+y = 10.......(i)

x-5y = 13

x = 13+5y......(ii)

Substituting eq(ii) in eq(i)

4(13+5y)+y = 10

52+20y+y = 10

21y = 10-52

21y = -42

y = -2

Put y = -2 in equation (ii),

x = 13+5(-2)

x = 13-10

x = 3

Hence, The value of x and y in the equations given are -2 and 3 respectively

For more references on equations, click;

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3(x - 7) + 4 = 28 - 2x​

Answers

Answer:

3x-21+4=28-2x...... Multiply 3 with (x-7)

3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4

5x=45.....Add and subtract as required

x=45/5....Taking 5 from left side to right side and dividing it

x=9.....Normal division

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 9}}}}[/tex]

Step-by-step explanation:

[tex]\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }[/tex]

At 12 noon, the
temperature was
3°F. Then the
temperature fell
steadily and reached
-1°F at 2:00 PM.

Answers

Noon to 2:00 pm is 2 hours

3 degrees to -1 degree is a total of 4 degrees.

The temperature changed 4 degrees in 2 hours.

4/2 = 2

The temperature dropped 2 degrees per hour.

i need help please please :((

Answers

Answer: 9^-16

Step-by-step explanation:

If an exponents have the same base and are  being multiplied together, all you do is just add the exponents and make the base stay the same

9[tex]9^{-53} * 9^{37} = 9^{-16}[/tex]

Negative exponents can be rewritten as positive exponents if you put them in the denominator.

[tex]x^{-a}=\frac{1}{x^a}[/tex]

Using this rule, we can rewrite the equation.

[tex]9^{-53}*9^{37}=\frac{1}{9^{53}}*9^{37}[/tex]

[tex]\frac{9^{37}}{9^{53}}[/tex]

Then, we can use exponent division rules.

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]\frac{9^{37}}{9^{53}}=9^{37-53}[/tex]

[tex]9^{-16}[/tex] or [tex]\frac{1}{9^{16}}[/tex]

Hope this helps.

頑張って!

5. Write the quotient of 7 less than a number and 6' as an expression. Use x as the variable.​

Answers

Answer:

[tex]\frac{x-7}{6}[/tex]

quotient means the problem will be a fraction

7 less than a number x-7

and 6 (6)

Answer:

i suck well you got the answer so there

Step-by-step explanation:

What is 2 3/5+ 1 4/5

Answers

Answer:

4 2/5

Step-by-step explanation:

2x + 2x + 2 = 4x + 2


PLEASE ANSWER ASAP! I'll send u 5 dollars ! but please hurry :(​

Answers

Answer:

All real numbers make this equation true (-∞,∞)

Put the quadratic into vertex form and state the coordinates of the vertex. y=+ = 22 + 14x + 33​

Answers

I tried it and I really don’t know

To Find the IQR in a Box Plot, you take Q1-Q3?

Answers

False to find IQR in a box plot you do Q3-Q1

Help needed ASAP will give BRAINLIEST

Answers

Answer:

Hi, there the answer to your question is 248 if this helped send thanks. Have a  great day!

Step-by-step explanation:

Help wanted! What is the sum of 88x+12x?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{100x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{88x + 12x}[/tex]

Collect like terms : Add 88 and 12

[tex] \dashrightarrow{ \sf{100x}}[/tex]

Hope I helped!

Best regards! :D

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\;100x \,}\;\; } $ } }\\[/tex]

Step-by-step explanation:

[tex]88x+12x[/tex]

To easily solve this, let's add 88 + 12.

[tex]88+12[/tex]

Now that we added, we got the answer to 88 + 12.

[tex]88+12=100[/tex]

Now to finish, we will add the x to 100.

[tex]100x[/tex]

Now we got our answer!

Hope this helps!

which number is written in scientific notation?

Answers

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Step-by-step explanation:

A square with an area of 250sq.m is inscribed in a circle. Find the diameter of the circle

Answers

Answer:

22.36 m

Step-by-step explanation:

Diagonal of the square would be the diameter of the circle.

Area of square = 250 sq m

[tex]Side \: of \: square = \sqrt{250} \: m \\ diagonal \: of \: square \\ = \sqrt{ {( \sqrt{250)} }^{2} + {( \sqrt{250)} }^{2}} \\ = \sqrt{250 + 250 } \\ = \sqrt{500} \: m \\ = 22.3606798 \: m \\ = 22.36 \: m \\ \therefore \: diameter \: of \: circle = 22.36 \: m[/tex]

Bri wants to buy as many flip flops as she can at the store. Each flip flop costs $4 and she has $50 with her. Write an inequality to show the maximum number of flip flops Bri can buy.

Answers

Answer:

she can buy 12½flip flops

Step-by-step explanation:

it's actually easy : just do 50÷4 but then u will get something like 12.5 so if you are confused , you can divide by the closest number to 50 and the number which is a multiple of 4

so,

48÷4 = 12 and with the remaining 2 $ she can buy a half flip flop more if she wants because 4/2

Therefore , the total number of flip flops she can buy = 12½ flip flops

.The height of a cylinder whose radius is 7 cm and the curve surface area is 968 cm2 is:

Answers

Answer:

22cm

Step-by-step explanation:

Curve surface area = height x circumference.

In order to find circumference =2(pi)r

2(pi)(7)=14 pi = 44 (pretty much, rounded)

968/44=22

The height is 22cm

Hope this helped!

b. 11| – 6| + 15

Someone please help

Answers

Is it negative 6 or subtract 6 Because if it’s negative 6 you can’t do 11 6+15 that makes no sense

Please I need to know today?

Answers

Answer:

The three collinear poitns are D, A, and E.

Step-by-step explanation:

Collinear points are points that all reside on the same line. Since we are looking for 3 seperate points we need a line with 3 points. There are only 2 lines on the picture and only one has three lines getting you your answer.

A restraurant owner estimates that his restaurant will sever 430 customers the first week it is open the actual number of customers the first week is 400 find the percent error

Answers

Answer:

7.5% error

Step-by-step explanation:

Percent Error = ( | measured - real | / real ) x 100%

|430 - 400| / 400 = |-30| / 400

( 30 / 400 ) x 100%

= 7.5%

Solve for x.

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

4x + 4 < 9x + 8

Answers

Answer:

-5x is less than 4 or x is less than -0.8

Step-by-step explanation:

Today, Nate has 100 bananas. He will eat 2 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?

Answers

Answer:

No, Its not.

Step-by-step explanation:

Kindo forgot Why and How.. Sorry!!

Simplify the expression

Answers

Answer:

9/4

Step-by-step explanation:

5×|-2-7(3)|-2×17

5×|-2-21|-34

5×|-23|-34

5×23-34

115-34=81

22+sq rt(7×28) 28=4×7 sq rt= 2×2×7×7

22+2×7=22+14=36

81÷9/36÷9=9/4

So the answer is a, now let me tell you why if you need proof

Starting from the top
So take the seven and multiply it to the 3 to get 21 and then subtract the negative two to the negative twenty one so you should have 5 | -23| -2*17 simply the |-23| so it says it’s absolute value which is 23 so you have 5*23 - 2*17, now just go ahead and multiply the 5 and the 23 to get 115 and the 2 to the 17 to get 34, now you should have 115-34, that’s obviously 81
Now for the bottom
22 + √7*28, now you just multiply the 7 to the 28 and you get 196 and the square root of that would be 14 so now you should have 81/22+14 so far, now just add the 22 and 14 to get 36 and simplify the fraction to get 9/4 and that’s A
(if you keep going, you get 2.25)

please help me with this

Answers

Answer:

117 = <4

Step-by-step explanation:

Angle 2 and angle 4 are vertical angles so they are equal

<2 = <4

117 = <4


Multiply the binomials (5x + 3) and (2x + 4).

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 26x + 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5x + 3)(2x + 4)}[/tex]

Use distribute property to multiply each term of the first binomial by each term of the second binomial.

[tex] \dashrightarrow{ \sf{5x(2x + 4) + 3(2x + 4)}}[/tex]

[tex] \dashrightarrow{ \sf{10 {x}^{2} + 20x + 6x + 12}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{10 {x}^{2} + 26x + 12}}[/tex]

Hope I helped !

Best regards! :D

5/6+2/9 thanksssssssssssss

Answers

Answer:

19/18

Step-by-step explanation:

use a calculator dawg lol

5/6 + 2/9 = 15/18 + 4/18 = 19/18 = 1 1/18
Hope this helps

Last year a large trucking company delivered about 6 million loads of goods at an average value of $30,000 per load. What was the total value of goods delivered? Express your answer in scientific notation.​

Answers

Answer:

he value will be:  30000 · 8.0 · 105  =  (240000) · 105  =  (2.4 · 105) · 105

  =  $2.4 · 1010  Step-by-step explanation:

Use the diagram to complete the proof by filling in the blanks. Picture is attached

Answers

Answer:

Step-by-step explanation:

From the question attached,

Given:

RT and PQ intersect at a point S.

RS = PS and ST = SQ

To prove :

RT = PQ

             Statements                               Reasons

1). RS = PS and ST = SQ                 1). Given

2). RS + ST = PS + SQ                    2). Addition property

3). RS + ST = RT ; PS + SQ = PQ   3). Pair of line segments

4). RT = PQ                                    4). Substitution property

Antony borrows $6.50 from a friend to pay for a sandwich and a drink at lunch. Then he borrows $3.75 from his sister to pay a library. What is Antonys total debt that day?

Answers

Answer:

$10.25

Step-by-step explanation:

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