Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?

Answer:

[tex]r=9.0\:\mathrm{cm}[/tex]

Step-by-step explanation:

The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:

[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].

Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.

Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).

The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.

For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

We can rearrange this formula to solve for r:

r = [tex](3V/4\pi)^{(1/3)[/tex]

Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:

r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm

Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.

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Answer: 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y = 3x - 1

Answer:

My pretty sure its 5

(don’t count on it too much, this is my first answer)

Step-by-step explanation:

Answer:

n=11

Step-by-step explanation:

Permutations

The formula to calculate permutations is:

[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]

We know nP3=990. Substituting:

[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]

Expanding the factorial in the numerator:

[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]

Simplifying:

[tex]n(n-1)(n-2)=990[/tex]

This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:

[tex]n(n-1)(n-2)=11*10*9[/tex]

It follows that n=11

Answer:

P(B) = 0.46

Step-by-step explanation:

Probability

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

Answer:

4x -12

Step-by-step explanation:

is that what u needed lol

Step-by-step explanation:

-24 ==== ( 2×-6=-12___-12×2= -24)

Answer:

Let $10 tickets be (x)

Let $15 tickets be (y)

Now we know they sold 1000 tickets

And they earned 12,200 from sales

So we can say

X+Y=1000

10x+15y=12,200

We can do substitution

So lets find Y first

Y=1000-x (basically x+y=1000 but solved for Y)

10x+ 15 ( 1000-x)= 12,200

You’d get

10x+15000-15x=12200

Combine and solve for x and you’ll get

x=560

So we know that x is 560

We can just use that to solve for Y

Since X is 560 tickets

And 1000 tickets soled

1000-560=440

440 ($15) tickets

560 ($10) tickets

Answer:

y=-6x+8

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.

We know a point (2,-4) and a slope -6.

We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.

-4=-6(2)+b

multiply

-4=-12+b

add 12 to both sides

8=b

the y intercept is (0,8)

Now we know what b is, so we know what the full equation is:

y=-6x+8

hope this helps!

Answer:

[tex]x = - 1 \\ y = 1[/tex]

Step-by-step explanation:

[tex]x - y = - 2 [/tex]

[tex]x = y - 2[/tex]

[tex]7x + 2y = - 5[/tex]

[tex]7(y - 2) + 2y = - 5 \\ [/tex]

[tex]7y - 14 + 2y = - 5[/tex]

[tex]9y = 14 - 5[/tex]

[tex]9y = 9[/tex]

[tex]y = \frac{9}{9} = 1[/tex]

[tex]x = y - 2 = 1 - 2 = - 1[/tex]

Answer:

x=-2

Step-by-step explanation:

y=-3x

4x-2y=-20

2y=4x+20

y=2x+10

subs y

2x+10=-3x

5x=-10

x=-2

Answer:

x=11

Step-by-step explanation:

first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

Answer:

18.7

Step-by-step explanation:

5.5 × 6.8 = 37.4 / 2 = 18.7

Answer:

This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h

A = (1/2 x 6.8 ) x5.5 = 18.7 ft²

Step-by-step explanation:

Answer:25

Step-by-step explanation: bc 5 x 5 =25

Answer:17 chocolates left

Step-by-step explanation:

5x5= 25

42 - 25 = 17

hopefully this helps

Answer:

Perimeter = 32 cm

Step-by-step explanation:

Use the property of tangents drawn to a circle,

"Length of tangents drawn to a circle drawn from a point given outside the circle are equal"

AE = AH = 3 cm

BE = FB = 4 cm

CG = CF = 5 cm

Since, ∠B ≅ ∠D,

Therefore, length of tangents drawn from D will be equal to the length of tangents drawn form B.

Therefore, DG = DH = 4 cm

Now AB = AE + BE

              = 3 + 4

              = 7 cm

BC = FB + CF

     = 4 + 5

      = 9 cm

CD = CG + DG

     = 5 + 4

     = 9 cm

AD = AH + HD

     = 3 + 4

     = 7 cm

Perimeter of ABCD = AB + BC + CD + AD

                                                   = 7 + 9 + 9 + 7

                                                   = 32 cm

Answer:

5/4

Step-by-step explanation:

Solve by plugging in the value to "a".

Solve:

3a + 3/6

3(1/4) + 3/6

Multiply the parenthesis.

3/4 + 3/6

Simplify 3/6

3/4 + 1/2

Find the common denominator, which is 4. Make the denominators the same.

3/4 + 2/4

Add the fractions.

5/4

Answer:

The answer for the first equation is,

B. 11

The answer for the second equation is,

D.none of these.

Answer:

first question:  [tex]\sqrt[4]{110}[/tex] (last option)

second question:  2a³b²· [tex]\sqrt[3]{3a}[/tex]  (3rd option)

Step-by-step explanation:

1st question - follow this rule: [tex]\sqrt[4]{m}[/tex] · [tex]\sqrt[4]{n}[/tex] = [tex]\sqrt[4]{m x n}[/tex]

2nd question: [tex]\sqrt[3]{24a^10b^6}[/tex] = [tex]\sqrt[3]{2^3a^3a^3ab^3b^3}[/tex] = 2·a·a·b·b[tex]\sqrt[3]{3a}[/tex] = 2a²b²[tex]\sqrt[3]{3a}[/tex]

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

Substitute the given values.

The value of x is 4.

Hence, the measure of QN is 19 units.

Answer:

M = 11/2

Step-by-step explanation:

first set up the problem

18-m = m+7

subtract m to both sides

18 -2m = 7

then subtract 18

-2m = -11

divide by negative 2

m = 11/2

Answer:

c = 69 and h = 51

Step-by-step explanation:

You will need two different equations here

use variable c as coffee and variable h as hot chocolate

c + h = 120

1.80c + 3.15h = 284.40

By moving variables, you can alter the first equation

h = 120 - c

Now insert this into the second equation

1.80c + 3.15(120 - c) = 284.40

Multiply

1.80c + 378 - 3.15c = 284.40

Subtract the c

-1.35c + 378 = 284.40

Subtract 378 from both sides

-1.35c = -93.6

Divide both sides by -1.35

c = 69

Then plug into the first equation

69 + h = 120

Subtract 69

h = 51

Answer:

2<x<7

Step-by-step explanation:

Answer:

2<x<7

Step-by-step explanation:

Answer:

23,24,25,26

Step-by-step explanation:

X+(x+1)+(x+2)+(x+3)= 100

4x+6=100

4x=100-6

X=94/4

X=23.5

Ads the sum is said to be AT MOST  100 SO WE WILL ROUND DOWN THE NUMBER

So x=23

X+1=24

X+2=25

X+3=26

Sum=23+24+25+26=98

98<100 so answer is correct

Answer:

2 weeks and 4 days

Step-by-step explanation:

she is 63 pounds and she needs to get to 47 so  63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go

2 weeks and 4 days

Answer:

for the first one it is

ED= 26

CF= 13

mED= 136

mHD= 68

mCE= dont know this one but the other ones im positive their right

Step-by-step explanation:

9514 1404 393

Answer:

  ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°

  QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°

Step-by-step explanation:

Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.

__

Circle J

ED = 2×GD = 26

CF = GD = 13

arc ED = arc CD = 136°

arc HD = 1/2 arc CD = 68°

arc CE = 360° - 2×136° = 88°

__

Circle Y

QU = 1/2×ST = 8

QR = ST = 16

arc ST = arc QR = 1/2(360° -34° -98°) = 114°

arc XT = 1/2 arc ST = 57°

Answer:

okay, he can do it

is there supposed to be something attached? there's not enough information to solve this.

Step-by-step explanation: