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

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]

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.

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.

Answer:

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

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

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

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

Answer:

4 2/5

Step-by-step explanation:

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

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.

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;

https://brainly.com/question/29657992

#SPJ3

Answer:

$10.25

Step-by-step explanation:

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%

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

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:

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!

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

━━━━━━━☆☆━━━━━━━

▹ 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

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!

Answer:

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

Step-by-step explanation:

Answer:

hope you find it helpful

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:

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!

Answer:

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

Step-by-step explanation:

Answer:

19/18

Step-by-step explanation:

use a calculator dawg lol

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]

Answer:

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

Answer:

No, Its not.

Step-by-step explanation:

Kindo forgot Why and How.. Sorry!!

Answer:

117 = <4

Step-by-step explanation:

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

<2 = <4

117 = <4