The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?

Answer:

[tex]x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5[/tex]

Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = [tex]\frac{1}{2}(AB)[/tex]

 AM = [tex]\frac{10}{2}[/tex] = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = [tex]\sqrt{(17^2-14^2)}[/tex]

         = [tex]\sqrt{93}[/tex]

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

[tex]x {}^{2} + 8x + 15 = 0[/tex]

[tex]x^2 -5x-3 x +15=0[/tex]

[tex]x(x-5)-3(x-5)=0[/tex]

[tex](x-5)(x-3)=0[/tex]

[tex]x=5,3[/tex]

Answer: x = -3, -5

Step-by-step explanation:

Solve by Factoring

x^2 + 8x + 15 = 0

Factor x2 + 8x + 15 using the AC method.

  Consider the form x2 + bx + c. Find a pair of i ntegers whose product is c and whose sum is b. In this case, whose product is 15 and whose sum is 8.

3, 5

  Write the factored form using these integers.

     (x + 3) (x + 5) = 0  

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x + 3 = 0

x + 5 = 0

Set x + 3 equal to 0 and solve for x.

  Set x + 3 equal to 0.

     x + 3 = 0

  Subtract 3 from both sides of the equation.

     x = −3

Set x + 5 equal to 0 and solve for x.

  Set x + 5 equal to 0.

     x + 5 = 0

   Subtract 5 from both sides of the equation.

     x = −5

 The final solution is all the values that make (x + 3) (x + 5) = 0 true.

     x = −3, −5

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answer:

B) 110.92 u²

Step-by-step explanation:

to find the surface area, find the area of each side and add them together.

here are all 6 sides:

4.5 * 6.8

4.5 * 6.8

4.5 * 2.2

4.5 * 2.2

2.2 * 6.8

2.2 * 6.8

4.5 * 6.8 = 30.6

4.5 * 6.8 = 30.6

4.5 * 2.2 = 9.9

4.5 * 2.2 = 9.9

2.2 * 6.8 = 14.96

2.2 * 6.8 = 14.96

30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96

110.92

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

Answer:

28

Step-by-step explanation:

Let x be the number of capsules on the Singapore Flyer.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

The total number of capsules on the Singapore Flyer is 28.

To find total number of capsules on the Singapore Flyer.​

Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.

Given that:

Let x be the number of capsules on the Singapore Flyer.

Total capacity : 784 passengers.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

So, the total number of capsules on the Singapore Flyer is 28.

Learn more about volume here:

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Answer:

54

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

2x - 3y > -12

3x + 2y < or = 18

Answer: What??????

Step-by-step explanation:

Answer:

x = -4.4

Step-by-step explanation:

i hope this can explain?

Answer:

We conclude that:

''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:

Step-by-step explanation:

Given the statement

''add 3 and the sum of 9 and v''

Let us break down the statement

so

Adding 3 and the sum of 9 and v will be: 3 + 9 + v

Therefore, we conclude that:

''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:

Answer:

A. 13.

Step-by-step explanation:

x + 9 = 2(3x - 38)

X + 9 = 6X - 76

85 = 5x

x = 85/5

x =  17

So RS = 3(17) - 38

= 51 - 38

= 13

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

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Answer: 2 more games

Step-by-step explanation:

From the question, we are informed that a baseball team has won 6 game and lost 4 game.

We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.

Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.

Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.

Answer:

The slope is 3 and the y-intercept is 2.

Step-by-step explanation:

Slope is 3/1, following the line up 3 and over 1. The line crosses the y-axis at (0,2), so the intercept is 2. The slope-intercept can then be written as y=3x+2.

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

Answer:

[tex]\$100 = 8200\ Yen[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Step-by-step explanation:

Given

[tex]\$ 1 = 82\ Yen[/tex]

Solving (a): Equivalent of $100

Represent this with x.

So, we have:

[tex]\$100 = x[/tex] and

[tex]\$ 1 = 82\ Yen[/tex]

Cross Multiply:

[tex]x * \$1 = 82\ Yen * \$100[/tex]

[tex]x * 1 = 82\ Yen * 100[/tex]

[tex]x = 8,200\ Yen[/tex]

Hence:

[tex]\$100 = 8200\ Yen[/tex]

Solving (b): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 10

[tex]10 *\$100 = 8200\ Yen * 10[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

Solving (c): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 100

[tex]100 *\$100 = 8200\ Yen * 100[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Answer:

(0, 3), (2, -1), (-6, 15)

Step-by-step explanation:

I recommend you use desmos scientific calculator for these problems.

So first you'll wan't to plug in the expression:

y=-2x+3

Then you''l want to put x= then the domains.

x=0, 2 or -6. (it doesn't matter as long as you put them in one at a time.)

youll then get each answer as you plug the numbers in.

x=0 y=3

x=2 y=-1

x=-6 y=15

Sorry if it wasn't clear to understand I'm doing my work at the same time as helping others.

Answer:

mark each line about 1 in. apart

Plzzzzz give me Brainliest!!!!!  

Answer:

35% off

Step-by-step explanation:

= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%

Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%

2.6 is a 35% decrease of 4.

Answer:

are they seperate equations?

Step-by-step explanation:

Answer:

48 ft²

Step-by-step explanation:

The area of the green shaded part will be :

Area of the entire rectangle green shape assumed complete minus the area of the removed parts{ small rectangle  + triangle }

Area of the entire rectangle green shape assumed complete

Area= length * width

A= l*w

A= 5ft * 12 ft = 60 ft²

Area of small rectangle removed part

2 * 3 = 6 ft²

Area of the triangle removed

A= 1/2 * b * h

A= 1/2 * 3 * 4

A= 6 ft²

Area of the outdoor carpet needed for the hole

60-{6+6}

60 -12 = 48 ft²

Answer:

Step-by-step explanation:

[tex]\boxed{\blue{ 3-\sqrt{3} } }[/tex]

Step-by-step explanation:

[tex]\bold{\sqrt{3}(\sqrt{3}-1) }[/tex]

[tex]\bold{\sqrt{3}(\sqrt{3})-\sqrt{3}(1) }[/tex]

[tex]\bold{(\sqrt{3})^2-\sqrt{3} }[/tex]

[tex]\bold{ 3-\sqrt{3} }[/tex]