A wedding dress was marked up 35% and is now selling for $270.00. What was the original price of the dress?

Answer:

a) The length of its edge is 8 units.

b) The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Step-by-step explanation:

a) The volume of a cube ([tex]V_{c}[/tex]), measured in cubic units, is defined by the following expression:

[tex]V_{c} = L^{3}[/tex] (1)

Where [tex]L[/tex] is the side length of the cube, measured in units.

If we know that [tex]V_{c} = 512\,u^{3}[/tex], then the length of its edge is:

[tex]L = \sqrt[3]{V_{c}}[/tex]

[tex]L = 8\,u[/tex]

The length of its edge is 8 units.

b) The volume of a sphere ([tex]V_{s}[/tex]), measured in cubic units, that fits snugly inside this cube is defined by:

[tex]V_{s} = \frac{\pi}{6}\cdot L^{3}[/tex] (2)

If we know that [tex]L = 8\,u[/tex], then the volume of the sphere is:

[tex]V_{s} \approx 268.083\,u^{3}[/tex]

The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:

[tex]r = \frac{V_{s}}{V_{c}}[/tex]

If we know that [tex]V_{c} = 512\,u^{3}[/tex] and [tex]V_{s} \approx 268.083\,u^{3}[/tex], then the fraction of the cube that is taken up by the sphere is:

[tex]r = 0.524[/tex]

The result in percentage form is calculated by multiplying the result above by 100.

[tex]\% r = 52.4\,\%[/tex]

The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Answer:

Sarah had the bigger paycheck of $134

Step-by-step explanation:

First we would need to find the total amount of money each one of them made in those 15 hours. We do this by multiplying their hourly rate by the hours worked and then adding the bonus

Jim:  (5*15) + 50 = x

          75 + 50 = x

              125 = x

Sarah: (8 * 15) + 14 = x

             120 + 14 = x

                  134 = x

Finally, we can say that Sarah had the bigger paycheck of $134 which is $9 more than Jim's

Answer:

No, it does not meet the goal. 2 hours and 10/24

Answer:

1. 27/50

2. 10/50

3. 13/50

4. 40/50

i hope this helped you and i hope this is the correct answer

Answer:

$2326

Step-by-step explanation:

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

To solve the above question, we have:

$43,000 = $1000

$100,000 = x

Cross Multiply

43000 × x = 100,000 × 1000

x = 100000 × 1000/43000

x = $2325.5813953

Approximately = $2326

Therefore, If the coin reaches $100000 you would have invested $2326

Answer:

A = 30 cents or $0.30

B = $2.70

Step-by-step explanation:

i hope it helps

Answer:  per lemon : $0.30, 9 lemons: $2.70

Step-by-step explanation: Ok so first if you wanna find the cost per lemon then you need to either divide or multiply for the longer way so what i did is divide and after i divided then i got $0.30 because if you multiply that by 5 it'll get you $1.50. So now for 9 lemons I just multiplied 0.30 by 4 so then after I got that answer i added it to the amount of dollars for 5 so it could be 9 lemons givin you the answer of $2.70 dollars.

Answer:

3e + 10.50 ≥ 30

Step-by-step explanation:

Answer: 8 cm

Step-by-step explanation: 3^2 = 9 So, 72/9 = 8

Answer:

ok so it is 169

Step-by-step explanation:

ok i hope this is correct i used a calculator so sorry if its wrong all i did was divide some stuff

if its correct can u give me the crown

if u dont want to thats alright

i divided 845 and 5 and got 169

Answer:

p = 6

Step-by-step explanation:

p/15 = 4/10

*cross multiply*

p*10 = 15*4

10p=60

*divide to get p alone*

p=6

Answer:

b

Step-by-step explanation:

all you do is divide 10.2 by tan (67) and you get 4.33

Answer: 4.33 I did the work.

Answer:

19-44.

Step-by-step explanation:

I simply looked up the answer with a calculator.

Answer:

Age 18 and under: 175

Age 19 - 44: 1,750

Age 45 - 64: 1,500

Age 65 and over: 1,000

Step-by-step explanation:

I asked my mom and she kept roasting me :( So I kinda figured it out

Answer:

0,07, 0.7, 0.71

Step-by-step explanation:

0.07, 0.7, 0.71

that's it

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

Answer:

#1 i know for a fact ur not going to pay us

#2 theres no picture

#3 Sorry :(

Answer:

i think 6.59

Step-by-step explanation:

A

B or D is your answer

Hope this helps

Step-by-step explanation:

N || P

Step-by-step explanation:

the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)

hope that helps

Answer:

20 is the answer

Answer:

20

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.

Because of this, in this triangle 30^2 + B^2 = 78^2

Which means B^2 = 5184

And B = 72

Answer:

5. 1:6 2/5

6. 1:5

Step-by-step explanation:

5. each time in the table you multiply H by 6 2/5 ex.

column 4 , 100x6=600, 2/5 of 100 = 40 and the total is 640, so the contant of proprtionality is 6 2/5

6. in the table there is a point on 2:10 and can be simplified to 1:5 so for every minute 5 gallons of water will be used

hope this helps sorry if this inst what your looking for have a blessed day :)

Answer:

Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If

the total amount of the dinner was $42.00, what should be paid to the waiter

.06 x 860 =51.60 of tax.

Total for Stereo is 911.60

Answer:

Commutive Property

Step-by-step explanation:

The numbers switched that's all

Answer:

Commutative property

Step-by-step explanation:

Change

Order

m

m

u

t

a

t

i

v

e

so basically you’re not changing the group ( associative ) and you’re not multiplying into the groups ( Distribuative ) so the only other option would be Commutative, and you’re changing the order of the numbers so it would be commutative.

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

plz mark me brainliest. :)

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

I just simply turned 1.8 ft and 20 in into centimeters

1.8 ft = 54.9 cm

20 in = 50.8 cm

56 cm = 56 cm

Answer: 3.14

Step-by-step explanation:

Answer:

none is equal to   π

Step-by-step explanation:

no graph shown.

Step-by-step explanation:

Probability of Grey ball = 2/7 or 0.285. It is closer to 0

Probability of White marble = 1/7 or 0.142. It is closer to 0

Probability of Black marble = 4/7 or 0.571. It is closer to 1

Answer:

c=29÷203.

Step-by-step explanation:

i think that might be what you want. pretty sure there's a better way to wright it though.