Which of the following sets are not well-defined?

What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?

worty [1.4K]

24987.2 meters cubed.

Step-by-step explanation:

A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.

The volume of a sphere is V= (4/3)πr3

The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,

45.7m, by 2. So r = 22.85 meters

so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.

Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.

And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.

6 0

3 years ago

A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each b

Softa [21]

Answer:

7 $5 bills
10 $1 bills

Step-by-step explanation:

If we take out the extra $3, we can group the bills into one each of $5 and $1, for a value of $6. There will be 7 such groups in the remaining $42.

That means there are 7 bills of the $5 denomination, and 3 more than that (10 bills) of the $1 denomination.

There are 7 $5 bills and 10 $1 bills.

_____

If you want to write an equation, it is usually best to let a variable stand for the most-valuable contributor. Here, we can let x represent then number of $5 bills. Then the value of the cash box is ...

5x +(x+3) = 45

6x = 42 . . . . . . . . subtract 3, collect terms

x = 7 . . . . . . . . . . . there are 7 $5 bills

x+3 = 10 . . . . . . . . there are 10 $1 bills

You may notice that this working parallels the verbal description above. (After we subtract $3, x is the number of $6 groups.)

6 0

3 years ago

2x - 4 > 4 ...................

Veseljchak [2.6K]

Answer:

x>4

Step-by-step explanation:

8 0

3 years ago

A shoe store uses a 38% markup to price their items. The store buys the

Lorico [155]

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

= 38/100 × 52

= 0.38 × 52

= $19.76

Therefore, they will Markup the price by $19.76.

8 0

2 years ago

Subtract 43 from 20 raised to the 7th power; then multiply by 3.

viktelen [127]

Hi there! :)

Answer:

Subtract 43 from 20 raised to the 7th power; then multiply by 3. The answer is: 3,839,999,871

Step-by-step explanation:

"Subtract" means to take away a number from another.

" 20 raised to the 7th power" is the same thing as 20 exponent 7: $20^{7}$

SO, you want to take away 43 from $20^{7}$ and then multiply the answer by 3:

( $20^{7}$ - 43) × 3

$20^{7} =$ 1,280,000,000

(1,280,000,000 - 43) × 3

1,280,000,000 - 43 = 1,279,999,957

1,279,999,957 × 3

1,279,999,957 × 3 = 3,839,999,871

There you go! I really hope this helped, if there's anything just let me know! :)

6 0

3 years ago

Read 2 more answers