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3 years ago

Find the volume of a sphere whose r is 20 inches

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

V ≈ 33,493 in³

Step-by-step explanation:

The formula for the volume of a sphere:

$V=\frac{4}{3}\pi r^{3}$

Since the radius of the sphere is 20 inches:

$V=\frac{4}{3}\pi 20^{3}$ ≈33,493 in³

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$13:50 to 6 pounds what the ratio

AleksAgata [21]

Answer:

$2.25: 1 pound

Step-by-step explanation:

13.50 divided by 6= 2.25

6 divided by 6= 1

5 0

3 years ago

Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes

frosja888 [35]

Answer:

The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08

Step-by-step explanation:

First of all we would have to perform the following table:

Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0

A 500 0.15 0.21 75 105

B 50 1.60 1.80 80 90

C 100 4.50 4.20 450 420

D 40 12.00 13.40 480 536

Total 1085 1151

Therefore, using laspeyres index number, we calculate the following:

laspeyres index number=(∑P1×Q0/∑P0×Q0)×100

laspeyres index number=(1151/1085)×100

laspeyres index number=106.08

8 0

3 years ago

What would the bottles purchased be and what would the bottles recycled be?

N76 [4]

Part A

Your problem statement already shows you the conversion.

Bottles purchased: 5×10¹⁰

Bottles recycled: 8.3×10⁹

Part B

The ratio of bottles purchased to bottles recycled is

... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0

The number of bottles purchased is 6 times the number of bottles recycle.

5 0

3 years ago

A business executive bought 40 stamps for

alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

$x + y =40$

<em>(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)</em>

Now, let's make an equation for the cost of these stamps.

$0.33x + 0.23y = 12.40$

<em>(AKA - The cost of the stamps in total, should equal $12.40).</em>

So now, we have our two equations:

$x + y =40\\0.33x+0.23y=12.40$

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

$x+y=40\\x=40-y$

Now, let's put this into our second equation.

$0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40$

Distribute, and solve for y.

$13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8$

Now, we plug this into one of our equations.

$x+y=40\\x+8=40\\x=32$

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0

1 year ago

Please help me out please please y'all help please please ASAP please

Arada [10]

Answer:

AM=5 x=1

x=16 CM=86

x=-7 AS = -37

Step-by-step explanation:

4 0

3 years ago