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
adell [148]
3 years ago
15

A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the dumpster is 4 feet less than tw

ice the width w, and the height is 1 foot less than the width.
Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet.
Mathematics
2 answers:
VARVARA [1.3K]3 years ago
4 0

Answer:

240 = w (2w − 4) (w − 1)

Step-by-step explanation:

Volume of a rectangular prism is width times length times height.

V = wlh

Given:

V = 240

l = 2w − 4

h = w − 1

Substituting:

240 = w (2w − 4) (w − 1)

Alex_Xolod [135]3 years ago
4 0

Answer:

2w^{3}-6w^{2}+4w=240

Step-by-step explanation:

The length and height are given in terms of the width. Width =w; Length =(2w−4); Height =(w−1); and the Volume is equal to the product of the three. Therefore, we can set up the equation as follows:

w×(2w−4)×(w−1)=240

To finish, we distribute and combine like terms:

(2w^{2}−4w)×(w−1)=240

2w^{3}−2w^{2}−4w^{2}+4w=240

2w^{2}−6w^{2}+4w=240

Therefore, 2w^{3}−6w^{2}+4w=240 is our equation for the dimensions of the dumpster in terms of w.

You might be interested in
A total of $37185 is invested at an annual interest rate of 2% compounded quarterly. Find the balance after 11 years.
vazorg [7]
A=37,185×(1+0.02÷4)^(4×11)
A=46,309.97
8 0
3 years ago
HELP PLS, I WILL GIVE BRAINIEST
alexira [117]

Answer:

THE CORRECT ANSWER IS 0.6

Step-by-step explanation:

6/10=0.6

5 0
2 years ago
Can someone help me with this?
Rainbow [258]

Answer:

Step-by-step explanation:

a)3*4*2*b = 24b

Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied

b) c⁵ *c = c⁵⁺¹ = c⁶

c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷

6 0
2 years ago
Seven less than twice a number w is 15.What is the number?​
slega [8]

Answer:

13

Step-by-step explanation:

seven less than twice a number equals 19. = 13. Answer.

3 0
2 years ago
Read 2 more answers
A bakery sold 246 vanilla cupcakes in a day, which was 82% of the total number of cupcakes sold that day. How many total cupcake
IRINA_888 [86]
The total number of cupcakes were 300.
5 0
2 years ago
Other questions:
  • Can anyone help me with this? I will mark you as brainliest!
    8·1 answer
  • a daily newspaper has 10225 subscribers when it began publication. six years old later it has 8200 subscribers what is the avera
    13·1 answer
  • You need 50 necklaces for a craft fair. You begin with 20 necklaces and make 4 necklaces each hour. A. Choose an expression that
    12·1 answer
  • What is the a3+b3 equal to? verify by an activity
    11·1 answer
  • A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
    10·2 answers
  • Help I Need Help Asap!
    8·1 answer
  • Plzzz help me plz Show how to find the x-intercepts of this parabola using factoring and the Zero Product Property. Select the a
    13·1 answer
  • Please answer please!! Please answer 1–4 please actually answer please I need thissss
    15·1 answer
  • Please help! I need this correct,
    10·2 answers
  • _x_=-0.75 The two rational numbers have to have what in common?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!