1answer.
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
RoseWind [281]
3 years ago
10

3. Bouncy rubber balls are composed of a hollow rubber shell 0.4" thick and an outside diameter of 1.2". The price of the rubber

needed to produce this toy is $0.035/in3.
a. What is the cost of producing 1 case, which holds 50 such balls? Round to the nearest cent.

b. If each ball is sold for $0.10, how much profit is earned on each ball sold?
Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

a. $ 1.11

b. $ 0.08

Step-by-step explanation:

a. The volume of the ball is the volume considering all it (1.2 in diameter) less the volume considering the 0.4 in thick.

V = (4/3)πrb³ - (4/3)πrt³

Where rb is the radius of the ball (0.6 in) and rt is the thick (0.4 in)

V = (4/3)π(0.6)³ - (4/3)π(0.4)³

V = 0.637 in³

For 50 balls, the volume is 50*0.637 = 31.85 in³

So, the cost to produce 1 case is:

$0.035/in³ * 31.85 in³ = $ 1.11

b. The profit is the difference between sales and cost, so for one ball:

P = 0.10 - 0.035*0.637

P = $ 0.08

You might be interested in
Help me with this math question pls!! Find the value of x
vfiekz [6]

Answer:

x = 3

Step-by-step explanation:

using the mid segment formula since quadrilateral WZYP is similar to that of MZYT, this is expressed as;

29 = 1/2(23 +11x+2)

Cross multiply

2(29) =  23+11x+2

58 = 25 + 11x

11x = 58 - 25

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence the value of x is 3

3 0
3 years ago
Hello can you guys help me with these math problem please!!
sp2606 [1]
The total number of sandwiches Cassandra ordered is 150, however Cassandra is wrong, each guest will only get 3 sandwiches.
7 0
3 years ago
Read 2 more answers
Which one of the following statements expresses a true proportion?
hodyreva [135]

Answer:

The answer is B.

Step-by-step explanation:

<em>A true proportion is a set of ratios that equal each other.</em>

<em> </em>For example, 1:2=2:4 is a proportion.

As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)

I hope this helps!

7 0
3 years ago
Given that angleAXB is complementary to both angleCYD and angleFZE, and mangleAXB = 20°, what is mangleCYD + mangleFZE?
AlladinOne [14]
If angle AXB is complementary with  angle CYD and FZE
 then their sum leads to 90°
∠AXB+∠CYD=90
∠AXB+∠FZE=90

if ∠AXB=20 then both∠ CYD and∠FZE=70°
6 0
3 years ago
3. Use the polynomial 12x^4 y^2 + 30x^3 y to answer the following questions?
barxatty [35]

Answer:

\huge\boxed{GCF:6x^3y}

\huge\boxed{Factored: 6x^3y(2x+5)}

Step-by-step explanation:

Look at both terms separately, and isolate each "part."

i.e. 12x^4y^2 becomes 12, x^4, y^2

So the problem becomes:

12, x^4, y^2 and

30, x^3, y^1

Then, find the GCF of each term,

30 and 12 - 6

x^4 and x^3 - x^3

y^2 and y^1 - y^1

Hope it helps :) and let me know if you want me to elaborate.

7 0
2 years ago
Other questions:
  • A garrison of 1500 men has previsions for 48 days. how long would they last if after 13 days it is reinforced by 660 men?
    14·1 answer
  • HELP PLEASE !!!!
    14·2 answers
  • Solve this problem for y: 24=3y
    9·2 answers
  • Raju and Johari baked 143 muffins altogether. Andrew and Johari baked 211 muffins altogether. (b) If Andrew baked 113 muffins, h
    5·1 answer
  • 3(x – 2) = 3x + 4 solve for X
    9·2 answers
  • Consider the division problem 1/2÷ 3. Describe a situation this division could represent.
    11·2 answers
  • Help plzz I need to turn in before 6:30 it’s 6:14!!
    9·2 answers
  • What is the area, in square centimeters, of the figure below?
    13·1 answer
  • Please this is due in 1 hr and8 minutes...
    13·1 answer
  • Write 60/105 in its simplest form.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!