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
horsena [70]
2 years ago
6

WILL GIVE BRAINLIEST

Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

Answer:

x= 3 inches

Step-by-step explanation:

-The volume of a box is given by the formula:

V=lwh\\\\l-length\\w-width\\h-height

-We are given the dimensions h=x+2, l=2x+5 and w=4x-1.

We substitute this values in the formula and equate to the volume value.

V=lwh\\\\605=(x+2)(2x+5)(4x-1)\\\\605=8x^3+34x^2+31x-10

#We take the values to the same side and equate to zero;

8x^3+34x^2+31x-615=0\\\\\\\#Factor\\\\\\(x-3)(8x^2+58x+205)=0

#Applying the zero factor principal to obtain the different values of x:

(x-3)=0\\\\\therefore x=3\ \ \ \ \ \ ...i\\\\(8x^2+58x+205)=0

#We use the quadratic formula to solve the two other values of x:

(8x^2+58x+205)=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\=\frac{-58\pm\sqrt{58^2-4\times 8\times 205}}{2\times 8}\\\\x=-3.625+3.533i \ and \ x=-3.625-3.533i

The two other values are negatives. Ignore them since length cannot be a negative.

The only reasonable value of x is x=3

#We substitute in the formula to validate:

V=lwh\\\\=(x+2)(2x+5)(4x-1)\\\\=(3+2)(2*3+5)(4*3-1)\\\\=605

Hence, the value of x is 3 inches

You might be interested in
Jamison reud 14 chapters of his book. The book has 31 chapter. How many chaptere does he have left to read?​
garik1379 [7]

Answer:

17

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLS HELP WITH THIS QUESTION
erma4kov [3.2K]

Answer:

two minute difference

Step-by-step explanation:

7 0
2 years ago
Adrian’s recipe for cranberry relish calls for 1 1/4 cups of sugar. He wants to use 1/2 that amount. How much sugar should he us
REY [17]
12/4 she uses for surgar

8 0
3 years ago
4(t+25) = (t+50) - 4 (0.15t)
LenKa [72]

Answer:

4(t+25) = (t+50) - 4 (0.15t)

4t + 100 = t + 50 - 0.6t

4t + 100 = 50 + 0.4t

4t - 0.4t + 100 = 50 + 0.4t - 0.4t

3.6t + 100 = 50

3.6t + 100 - 100 = 50 - 100

3.6t = -50

3.6t / 3.6 = -50 / 3.6

t = - 13.9

Step-by-step explanation:

6 0
3 years ago
First come first served brainiest:)
adoni [48]

Answer:

1. Not proportional 2. is proportional. For 3, 4, 5, and 6 just plot them.

Step-by-step explanation:

For 1, y intercept/x intercept is not 0 when you graph, thus not proportional. Number 2 is, thus proportional. For 3, 4, 5, and 6 you would plot them accordingly. So for (-5, -2) Start as 0,0 and go 5 to the left as it's negative, and 2 down as it is also negative. Do the same for others.

5 0
2 years ago
Other questions:
  • A delivery service charges $2.50 for the first pound and $0.75 for each additional pound . If Carl paid $7.75 for his package, h
    15·1 answer
  • How do u graph y=-4x+2 y=x-3
    12·1 answer
  • yoko pays $19.60 for a pack of 4 towels. find the unit price in dollars per towel if necessary round your answer to the nearest
    15·2 answers
  • Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x −
    12·1 answer
  • The number of bacteria in a Petri dish triple every month. If the dish started with 2500 bacteria, how many will there be in 10
    10·1 answer
  • What is the smallest positive value of x such that x+ 5678 results in a palindrome
    5·1 answer
  • a boat is tied to a dock with a 25-foot rope.when the rope is pulled tight, the boat us 18 feet away from the base of the dock.
    14·1 answer
  • Triangle ABC was dilated using the rule Dy,5/4
    6·1 answer
  • 2/5h-7=12/5h-2h+3 <br><br> Is this equation no solution? How? Show your work
    6·1 answer
  • You went shopping for back to school and bought packs of pens and pencils. a pack of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!