Please help soon!

5. A softball has a diameter of 8.3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet lon

Westkost [7]

Answer:

4329 softballs

Step-by-step explanation:

To find the number of softballs that will fit into the container, we first find the volume of the softball. Since it is a sphere, its volume V = 4πr³/3 where r = radius = d/2 where d = diameter of softball.

So, V = 4π(d/2)³/3 = πd³/6

Since d = 8.3 in,

V = πd³/6 = π(8.3 in)³/6 = π × 571.787 in³/6 = 299.39 in³

The volume of the box, V' = 15 × 10 × 5 ft³ = 750 ft³ = 750 × (12 in)³ = 750 × 1,728 in³ = 1,296,000

So, for n softball to fit, its volume must equal the volume of the storage unit.

The volume of n softballs is nV.

For the softballs to fit, V' = nV

n = V'/V

= 1,296,000 in³/299.39 in³

= 4328.8 softballs

≅ 4329 softballs since we cannot have a decimal number of softballs.

7 0

3 years ago

2. A paving company is paving the rectangular student parking lot at Hamilton High School. The

GenaCL600 [577]

Answer:

15p2 - p - 28

Step-by-step explanation:

4 0

3 years ago

PLZ HELPPP MEEEE What is the difference between a rate and a unit rate

slega [8]

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

hope this helps!

5 0

3 years ago

{(2,-4),(3,-3),(4.-2),(3,-1),(2,0)}

Brut [27]

Answer:

jazzmyn

Step-by-step explanation:

it is not a function because there are repeat x values. 3 shows up in two different coordinates as the x value.

7 0

3 years ago

An airplane is preparing to land at an airport. It is 41,300 feet above the ground and is descending at the rate of 3,100 feet p

MissTica

9514 1404 393

Answer:

after 7 minutes
19,600 feet

Step-by-step explanation:

Here's the "pencil and paper" solution:

The two altitude equations are ...

y = 41300 -3100x
y = 2800x

They can be solved by setting the expressions for y equal to each other.

2800x = 41300 -3100x

5900x = 41300

x = 41300/5900 = 7

y = 2800·7 = 19600

The planes will both be at 19,600 feet after 7 minutes.

_____

Attached are solutions from a graphing calculator, and from a calculator app that is able to solve systems of equations.

I find the graphing calculator the easiest to use. I can enter equations using a keyboard, and the solution is displayed in a form that can be copied and pasted.

The calculator app on my phone requires equation entry using a small on-screen keyboard, with multiple key hits required to access some functions. (y is obtained by hitting the x key twice, for example.)

The "pencil and paper" solution is not so difficult, but requires a certain amount of writing (or good short-term memory). The solutions for x and y require separate calculations, whereas the other methods give both x and y at the same time.

3 0

3 years ago