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
katrin2010 [14]
3 years ago
8

A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt

h. What is the width in inches of the gift box?
Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

width = 5 in

length = 5+4=9 in

height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

height = 2 \cdot width

height = 2w

Volume of box = length times width times height

V=(w+4)(w)(2w)

450=(w+4)(w)(2w)

450=2w^3+8w^2

2w^3+8w^2-450=0

\quad 2\left(w-5\right)\left(w^2+9w+45\right)=0

w-5=0

w=5

\quad\left(w^2+9w+45\right)=0, this gives two complex values

so width = 5

length = 5+4=9

height = 2(5)= 10

You might be interested in
Which expression is equivalent to
dezoksy [38]
Can you send a picture, because this doesn’t make it clear what the options are/what to do
7 0
2 years ago
The population of a town was 7652 in 2016. The population grows at a rate of 1.6% annually.
Serggg [28]

Answer:

(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652

(B)  y = (0.016t * 7652) + 7652 =

y = (0.016(8) * 7652) + 7652 =

y = (0.128 * 7652) + 7652 =

y = 979.456 + 7652 =

y = 8631.456 (Or About) 8631

Step-by-step explanation:

(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)

(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.

7 0
3 years ago
Grace swam a mile in 21 minutes. Jill swam a mile in 19.47 minutes. How
kirill115 [55]

Answer:

1.53

Step-by-step explanation:

because 21 minus 19.47= 1.53

7 0
3 years ago
Read 2 more answers
What is the rate of change in decimal form for the points (1,5) (0,-3)
seraphim [82]

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

  • \frac{y_2-y_1}{x_2-x_1}

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

\frac{5-(-3)}{1-0} =\frac{8}{1}=8

8 = 8.0, so the answer would be 8.0.

The rate of change between the two points would be 8.0.

I hope you find my answer helpful. :)

3 0
2 years ago
A single die is rolled. How many ways can you roll a number that is prime, followed by a 6?
Grace [21]

Answer:

3 ways

Step-by-step explanation:

Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.

1 - is not prime nor composite

2 - is prime

3 - is prime

4 - 2x2=4, so composite

5 - is prime

6 - 2x3=6, so composite

Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi ). (1 point) (0, -8) (0, 8) (8, 0
    12·1 answer
  • Am i doing it right..if not explain why. And if i am help me thru the other process 21 points
    13·2 answers
  • Find BC, Round to the nearest tenth
    12·1 answer
  • To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?
    12·1 answer
  • Y=6x+1 for x=5. what is the solution​
    5·2 answers
  • If a car moves with an average speed of 60 km/h for an hour, it will travel a distance of
    10·1 answer
  • Lamar and Jessie are multiplying 7/9 * 4/9
    14·1 answer
  • Solve for p.<br>1/3(4p-9)=8p+12
    15·2 answers
  • A print shop ordered 4 shipments of newsprint. There were 23,321 sheets of newsprint in each shipment. How many sheets of newspr
    14·1 answer
  • Show that the equation x^3+7x-4=0 has a solution between x=0 and x=1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!