answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Montano1993
2 months ago
7

A new golf bag has a compartment that is roughly a rectangular prism that has dimensions of 6 inches by 8 inches by 9 inches. Ho

w many golf balls will
fit in the compartment if a golf ball has a diameter of 1.7 inches? (Reminder: You can assume that for random packing space 190% of the volume of the
sphere is needed to pack the spheres and Volume of Sphere = 4/3 pim3)
21 balls
88 balls
63 balls
57 balls
Mathematics
1 answer:
zzz [12.3K]2 months ago
6 0

Answer:

The rectangular prism has dimensions of 5 inches by 7 inches by 8 inches. The volume can be calculated as follows:

Length of base multiplied by width of base multiplied by height.

Volume = 5 × 7 × 8 = 280 cubic inches

A golf ball is spherical. The volume formula for a sphere is:

Volume of a sphere = 4/3πr^3

Given a golf ball's diameter of 1.7 inches, the radius is 1.7/2 = 0.85 inches.

Thus, the volume for each golf ball is calculated as follows:

Volume of each golf ball = 4/3 × 3.14 × 0.85^3

= 2.57 cubic inches

The number of golf balls fitting into the compartment calculates to:

Volume of compartment divided by volume of each golf ball, resulting in

280/2.57 equals 109 golf balls.

Step-by-step explanation:

You might be interested in
20 of my friends play basketball or soccer or both. 8 of them play basketball while 5 play both. How many play soccer
Svet_ta [12734]

Response:

5 or 25

Detailed explanation:

8 0
2 months ago
Read 2 more answers
After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?
zzz [12365]

Answer:

\$20,000

Explanation step-by-step:

Let

x represent Hermione's salary prior to the raise

Given:

100\%+5\%=105\%=105/100=1.05

Therefore, the equation that expresses this relationship is

1.05x=21,000

To find x, divide both sides by 1.05:

x=21,000/1.05

x=\$20,000

7 0
3 months ago
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three
lawyer [12517]
<span>The volume of a rectangular prism is 
 V = l · w · h
V = 252 cm3
h = 3 cm
l = 5 + W
Let W = x, therefore l = 5 + x
V = (5 + x) * x * 3 = 252
3x</span><span>^2 + 15x = 252 cm3

</span><span>This equation models the volume of the tray based on its width, x, in centimeters.
</span>3x^2 + 15x = 252 cm3<span>
</span>

for a width of 7.5 cm

3x^2 + 15x = 3*(7.5)^2 + 15*7.5 = 281.25 cm3

<span>281.25 > 252 </span><span> </span>

<span>Thus, a width of 7.5 cm is not possible.</span>


4 0
2 months ago
Read 2 more answers
Question Number 12 You are a landscaper working on the design of a parking lot in a new shopping center. You are measuring the l
babunello [11817]

Answer:

Length\: of\: D=37\frac{3}{16} \:feet

Step-by-step explanation:

Here are the details provided:

  • The handicapped space measures 10\frac{1}{16} feet next to the curb.
  • The other three spaces each are 8\frac{3}{8} feet wide.
  • There are four lines separating the spaces, each line being \frac{1}{2} foot long.

The Median D will be calculated as follows:

  • Width of the handicapped spot
  • 3 times the width of the other spaces
  • 4 times the width of the lines

= 10\frac{1}{16} + (3 X 8\frac{3}{8})+(4 X\frac{1}{2})\\=\frac{161}{16} + \frac{3 X 67}{8}+\frac{4}{2}\\=\frac{161}{16} + \frac{201}{8}+\frac{4}{2}\\=\frac{161+402+32}{16}\\=\frac{595}{16}\\Length\: of\: D=37\frac{3}{16} \:feet

7 0
2 months ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
AnnZ [12381]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV represents future value.

PV is present value.

r indicates the interest rate.

n is the number of periods.

t represents time (in years).

Here, PV=42,000

r=4%=0.04

n=1

t=n

Finding FV(n) gives us p(1+r/n)^nt.

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

7 0
2 months ago
Other questions:
  • The sale price S (in dollars) of an item is given by the formula S=L−rL, where L is the list price (in dollars) and r is the dis
    11·2 answers
  • Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u
    5·1 answer
  • Which graph represents an odd function?<br><br>Answer by using: A, B, C, or D for each graph.
    6·2 answers
  • Triangle E F G is shown. Which statements regarding Triangle E F G are true? Select three options. E F + F G greater-than E G E
    9·2 answers
  • A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend
    11·2 answers
  • Dr. Shah visits patients at their homes. The equation y = 150x + 50 represents the amount
    7·1 answer
  • the vertex form of a function is g(x) = (x – 3)2 9. how does the graph of g(x) compare to the graph of the function f(x) = x2? g
    6·2 answers
  • The price of a car was decreased by 16% to £2400. What was the price before the decrease?
    9·1 answer
  • Frank's Football Gear is having a sale on helmets. The sales price, not including tax is $125.50. If the sale is 30% off all hel
    8·1 answer
  • A triangular playground is to be enclosed using two pieces of fencing and the wall of a building. The wall of the building is 14
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!