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
posledela
3 years ago
12

A candy company is designing the packaging for its new candy bar. The bars will be packed in cartons which are 1 foot wide, 1 fo

ot high, and 1 foot long. How many of these cartons can they pack into the shipping crate which is 5 ft long, 12 ft wide, and 4 ft high?
show your work.
Mathematics
2 answers:
frez [133]3 years ago
7 0

Answer:

<h3> 240 cartons</h3>

Step-by-step explanation:

If the bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long, the volume of the carton will be expressed as shown;

Volume of carton = Length * Breadth * Height

Volume of carton = 1ft*1ft*1ft

= 1ft³

Given the dimension of shipping crate to be 5 ft long, 12 ft wide, and 4 ft high, the volume of the tank will be 5*12*4 = 240ft³

Number of cartons they pack into the shipping crate = Volume of the shipping crate/volume of one carton

Number of cartons they pack into the shipping crate = 240ft³/1ft³

= 240 cartons

yKpoI14uk [10]3 years ago
7 0

Answer:

number of cartons that can be packed in the shipping crate = 240 cartons

Step-by-step explanation:

The cartons are cube since the face all have the same dimension . The length = 1 ft, width = 1 ft and height = 1 ft.

The shipping crate is a rectangular prism or cuboid . The dimension is given as follows.

length = 5 ft

width = 12 ft

height = 4 ft

The number of the cartons that can be packed in the shipping crate can be calculated as follows.

volume of the cubed carton = L³

where

L = length

volume of the cubed carton = 1³ = 1 ft³

Volume of the shipping crate = LWH

where

L = length

W = width

H = height

Volume of the shipping crate = 5 × 12 × 4

Volume of the shipping crate = 240  ft³

number of cartons that can be packed in the shipping crate = 240/1 = 240 cartons

You might be interested in
Wich is the greatest six digit number 860,553 or 865,530
Serjik [45]
865,530 is the greatest because the other number, 860,530 has '0' in the place of '5' in the 865,530.
8 0
3 years ago
Read 2 more answers
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the
mihalych1998 [28]
We can let x be the number of boxes sold for the first week. We can as well express the number of boxes for the second and third week through x using the statements provided.

Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:

first week: x
second week: x + 5
third week: 2(x + 5)

Given that the total number of boxes sold for the three weeks is 431. We have

x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104

We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218

Answer: 
first week: 104
second week: 109
third week: 218



5 0
3 years ago
A miniature quadcopter is located at xi = −1.75 m and yi = −5.70 m at t = 0 and moves with an average velocity having components
Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath

where \Delta x=x_f-x_i, the difference in the quadcopter's final and initial positions and \Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s.

The x-component of the average velocity is 2.70 m/s, so

2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}

and the y-component is -2.50 m/s, so

-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}

4 0
3 years ago
If the average (arithmetic mean) of 2, 7, and x is 12, what is the value of x?
posledela

Answer:

27. (2+7+27=36 36÷3=12) 36=total of the three numbers, 3=Amount of numbers, 12=Average

5 0
3 years ago
Please help fast I’m not sure exactly how to do this or find it
Vanyuwa [196]
The answer would be B check the picture for work.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which ordered pairs are solutions to the equation 2x + 6y = 15?
    14·2 answers
  • Find g(x), where g(x) is the translation 7 units up of f(x)=x.
    12·1 answer
  • a passenger train leaves a train depot 2.5 after a freight train leaves the same depot the passenger train is traveling 13 mph f
    5·1 answer
  • If b is the midpoint of ac, find bc (ab=3x-1 and ac=8x-20)
    5·1 answer
  • What is the length of the paintbrush in centimeters?
    11·1 answer
  • Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops how many hens does her in all if every hens lays 9 on Monday
    9·1 answer
  • Enter the first four terms.
    14·1 answer
  • Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
    11·1 answer
  • What are your opinons on doge coin?
    8·2 answers
  • Which is f(5) for the function â€""2x2 2x â€"" 3? â€""107 â€""63 â€""43 â€""37.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!