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
klemol [59]
3 years ago
7

An open box with a volume of 1500 cm cube is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of

side length x cm from each corner, and folding up the sides. Find the exact dimensions of the box.
Mathematics
1 answer:
Liula [17]3 years ago
7 0
The dimensions of the box formed will be:
width: 20 - 2x 
length: 40 - 2x
height: x

Volume = width x length x height
1500 = x(20 - 2x)(40 - 2x)
1500 = x(800 + 4x² - 120x)
1500 = 4x³ - 120x² + 800x
0 = 4x³ - 120x² + 800x - 1500
0 = x³ - 30x² + 200x - 375
Solving the cubic equation:
x = 5 (only integer root)

Length = 30 cm
Width = 10 cm
Height = 5 cm
You might be interested in
Fing the value of x, -3(2x-9)=3(16-x)
Ksivusya [100]

Answer:

x= -7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!! WORTH 10 POINTS!!!
Sidana [21]
<span>slope
m = (1  - 1)/(0 + 2) = 0

(x1, y1) as (-2, 1)

</span><span>point-slope form</span><span>
y - y1 = m(x - x1)
y - 1 = 0(x + 2)
y - 1 = 0
y = 1</span>
7 0
3 years ago
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 2/7 of
Aliun [14]

Answer:dwqdwdqw

Step-by-step explanation:

abuhchqecieuc

4 0
2 years ago
The ones with circles are the ones i need to do
TEA [102]

<em>1. </em>for (0,0) that would be at the very bottom at 0 is where you're point will be.

on (1,4) go over to the right to 1 nd then go up right below 5 and make a point.

for (2,8) go to the right to 2 and then move up to 8 and make a point.

for (3,12) go to the right 3 and then go up to 12 and make a point.

<em>2. </em>It makes a line.

<em>3. </em>(1,5)           (2,10)        (3,15)        (4,20)

chart on left is right but put parenthesis on both side like that ^

<em>4. </em>For Kens go to the right to 1 and go up to 5 and put a point. then go to 2 to the right and 10 up make point. then go 3 to right and 15 up and make a point. then go 4 to right and up 20 and make a point. Do same with other chart.


5 0
3 years ago
Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a
DanielleElmas [232]
The answer is the letter C
7 0
3 years ago
Read 2 more answers
Other questions:
  • Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yar
    15·1 answer
  • central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?
    10·1 answer
  • PLEASE HELP VERY EASY GOOD LUCK DUE TOMARROW
    14·2 answers
  • What are the solutions of the system?
    9·2 answers
  • I don’t know the answer to this can some one help
    10·1 answer
  • I dont get it yall help​
    9·1 answer
  • Karla has spent $42 on food. She bought
    11·1 answer
  • A garment dealer buys for Rs.10,000 and spend Rs.800 on freight. He seeks the entire stock for Rs.12,960. Find his loss/profit p
    9·1 answer
  • When a person 6 feet tall casts a shadow
    13·2 answers
  • Calculate the following scenario for a simple interest loan.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!