Alan bought a package of 6 socks for $8.99. Brittney bought a package of 12 socks for $16.25. which was the better buy? explain

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

Answer:

n ≤ 12

Step-by-step explanation:

The variable n represents a number. Since you see the phrase “at least” that means that it could be less than, or equal to that number. Therefore, the inequality to represent this sentence is n ≤ 12.

I hope this helps you :D

Answer:

The equation of the line is:

Step-by-step explanation:

Given the table

x             y

0            0

1             3

2            6

3            9

4            12

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Taking the two points from the table

Determining the slope between (1, 3) and (2, 6)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 3] / [2 - 1]

               = 3 / 1  

               = 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

now substituting m = 3 and b = 0 in the slope-intercept form of the line equation

y = mx + b

y = 3x + 0

y = 3x

Therefore, the equation of the line is:

The graph of the line equation y = 3x is also attached.

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Answer:

S = 15

That the answer :) .

Answer:

s=90°

Step-by-step explanation:

a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°

s=90°

hope this helps

Answer:

mp=2800

mp=cp+40%ofcp=cp+40/100×cp=1.4cp

2800=1.4çp

cp=2800/1.4=2000

discount=20%

profit%=?

Step-by-step explanation:

sp=mp-discount%of mp=2800-20/100×2800=2240

profit=sp-cp=2240-2000=240

profit%=profit/cp×100%=240/2000×100%=12%

Answer:

[tex]\sqrt{80}[/tex]

80 is the number in the square root

Step-by-step explanation:

[tex]d = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} } \\d = \sqrt{(4-(-4) )^{2} +(5- 1 )^{2} }\\d = \sqrt{(4+4 )^{2} +4^{2}\\d = \sqrt{8^{2} +4^{2} }\\d=\sqrt{64 +16}\\d=\sqrt{80}[/tex]

Answer:

100.26 squared inches

Step-by-step explanation:

(πr²)/2 + lb + (bh)/2

= 28.26 + 60 + 12

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Answer:

2 is ur answer.

hope it helps you.

Answer:

0.24

Step-by-step explanation:

Answer:

y = 42

Step-by-step explanation:

Given

y = 10x + 2 ← substitute x = 4

y = 10(4) + 2 = 40 + 2 = 42

Answer:

=42

Step-by-step explanation:

y=10(4)+2

10 x 4 = 40

40 + 2 = 42

y=42

Answer:

the factors are:  1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.

Step-by-step explanation:

Answer: A, D

Step-by-step explanation:

Answer:

r = 3

Step-by-step explanation:

The formula of a volume of a cone

V= 1/3 pie r^2 H

r - radius

H - height

We have V = 12π in³ and H = 4 in. Substitute:

The radius of the cone is 3 inches

where

h = height

r = radius

Therefore,

v = 12π

h = 4

12π = 1 / 3 × π × r² × 4

12 = 4  /3  r²

36 = 4r²

r² = 36 / 4

r = √9

r = 3 inches

learn more on cone here:https://brainly.com/question/9837241

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

40% (see below)

Step-by-step explanation:

First, make a ratio to simplify your situation:

Think about it like this:

If 25 is 100%, and the question is asking me for 10, which is x%, then what is x%?

Here's what I'm talking about:

10               x%

------    =    --------

25            100%

Now, just cross multiply and simplify:

1000 = 25x

   40 = x

      x = 40

To check your answer, you can multiply 25 by 0.4 (the decimal form of 40%) to see if it worked because 40% of 25 is 10:

25 (0.4)

   10

Answer:

m=-3

Step-by-step explanation:

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer:

73 degrees

Step-by-step explanation:

Answer:

x = 38

Step-by-step explanation:

Exterior Angle Theorem

x + 99 = 137

subtract 99 from both sides and...

x = 38!

Answer:

137-99 would equal the missing angel which is 38°

Answer:

K

Step-by-step explanation:

Answer:

x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

just plug in 3 for x

2*3^2-4 = 18-4 = 14

Answer:

you just have to check the first and the third box

Step-by-step explanation:

put each into slop intercept form

y+6=-5(x-2) is the same as y=-5x+4

y-2=-5(x+6) is the same as y=-5x-28

y=-5x+4

y=-5x-28

all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true

Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation: