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
lys-0071 [83]
2 years ago
14

Recall the shipping box scenario from the Introduction. As an employee of a sporting goods company, you need to order shipping b

oxes for bike helmets. Each helmet is packaged in a box that is n inches wide, n inches long, and 8 inches tall. The shipping box you order should accommodate the boxed helmets along with some packing material that will take up an extra 2 inches of space along the width and 4 inches of space along the length. The height of the shipping box should be the same as the helmet box. The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Mathematics
1 answer:
7nadin3 [17]2 years ago
8 0

Answer:

The dimensions of the helmet box are as follows

Width is 9 inches

Length is 9 inches

Height is 8 inches

The dimensions of the shipping box ordered are as follows;

Width is 11 inches

Length is 13 inches

Height is 8 inches

Step-by-step explanation:

8(n + 2)(n + 4) = 1144

8·n² + 48·n + 64 = 1144

8·n² + 48·n - 1080 = 0

8×(n - 9)×(n + 15) = 0

∴ n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

You might be interested in
The base of a expoential function can be a negative number true or false
Orlov [11]

Answer:

This would be false

Step-by-step explanation:

Exponents can't be negative

4 0
3 years ago
Read 2 more answers
Original price: $119.00; Markdown: 70%
Leokris [45]
The answer would be $35.70. 70% off would be $83.30 off of $119.
7 0
3 years ago
Read 2 more answers
A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Quinn randomly selects 1 marble
12345 [234]
40% because if their are 5 colors of equal amounts, than each one is 20% amd if you try and get 2 then you multiply %20 by 2 and you get %40
7 0
3 years ago
Read 2 more answers
I can't seem to figure this out
antiseptic1488 [7]

Answer:

c. 4

Step-by-step explanation:

tan (30)/1 = x/7 *cross multiply*

x = 7 (tan(30))

x = 4.04

x = 4

6 0
3 years ago
What is this answer! (-3)(8)
Vladimir [108]

Answer to question:

-24

7 0
2 years ago
Read 2 more answers
Other questions:
  • Six centimeters shorter than the length of the pencil variables and expressions what is it in number form
    13·1 answer
  • The distance from the center of a round horse corral to the fence is 25 yards. What is the area of the horse corral?
    13·1 answer
  • If angle EOF = 26 and angle FOG = 38., then what is the measure of angle EOG? The diagram is not to scale.
    10·1 answer
  • if two circles have circumference of 12 pi inches and 18 pi inches,find the ratio between their radii
    6·1 answer
  • Solve the equation.<br> -13 = 2b - b - 10
    15·1 answer
  • What is the equation of the line?<br> y=3x<br> Y=1/3x<br> Y=1/3x+2<br> Y=3x+2
    9·2 answers
  • Find AM in the parallelogram if PN=10 and AO=5 a 5 b 10 c 5 d 10
    15·1 answer
  • Write the slope-intercept inequality for the graph below. If necessary, use &lt;=
    13·1 answer
  • Pavel hiked 6 miles on a camping trip. He hiked 3 times as many miles on his next camping trip. How many miles did Pavel hike al
    9·2 answers
  • Find the 15th term of the geometric sequence 10, 20, 40, ...
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!