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
gregori [183]
1 year ago
5

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b

y 5 ft by 8.5 ft. The container is entirely full. If, on average, its contents weigh 0.21 pounds per cubic foot, and, on average, the contents are worth $8.80 per pound, find the value of the container’s contents. Round your answer to the nearest cent.
Mathematics
1 answer:
____ [38]1 year ago
7 0

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

\begin{gathered} Volume\text{ = }7\times5\times8.5 \\  \\ =297.5 \end{gathered}

The formula of density is:

\text{ Density =}\frac{\text{  Mass}}{\text{ Volume}}

So,

\begin{gathered} 0.21=\frac{\text{ Weight  of contents in container}}{\text{ Volume of container}} \\  \\ 0.21=\frac{\text{ Weight}}{297.5} \\  \\ 0.21\times297.5=\text{ Weight} \\  \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}

Now $8.80 per pound

For 62.475 pounds the value is:

\begin{gathered} =62.475\times8.80 \\  \\ =549.78 \end{gathered}

So the value of the container contents is 549.78

You might be interested in
Describe two different ways that you could find the product 8 x 997 using mental math. Find the product and explain why your met
jolli1 [7]
One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.

Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8. 
5 0
3 years ago
3-(x-1)=-1-(5-x) pls help
Alika [10]

Answer:

- 3(x - 1) =  - 1(5 - x) \\  \\ 3 - x + 1 =  - 5 + x \\  \\  - x - x =  - 5 - 3 - 1 \\  \\  - 2x =  - 5 - 3 - 1 \\  \\  - 2x =   - 9 \\  \\ x =  \frac{ - 9}{ - 2}  \\  \\ x = 4.5

3 0
3 years ago
What's 9 million in standard form
wariber [46]
The answer is 9,000,000
6 0
3 years ago
Read 2 more answers
Please help meeeeeee<br><br>Find the value of x in the diagram. Explain how you found the answer.​
steposvetlana [31]

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

8 0
3 years ago
Read 2 more answers
Write as 0.00147 an ordinary number
cestrela7 [59]

Answer: it can be written as 1.47x10-^3

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Find five consecutive integers whose sum is 195
    8·2 answers
  • Henry can write 5 pages of his novel in 3 hours. How many pages can he read in 8 hours
    10·2 answers
  • Sketch and label two different kites each with area 1092 cm2
    14·1 answer
  • Indicate whether the measures 4.35, 5.8, and 7.25 can me the side lengths of a triangle. If they can classify the triangle as ei
    14·2 answers
  • Given two sets of parallel lines in the diagram below, what is the relationship between ∠ 9 and ∠ 3 ? image
    12·1 answer
  • Does this graph show a function? Explain how you know.
    10·2 answers
  • Dilation by scale factor 5
    5·1 answer
  • anthony went on a bike ride. He rode two-thirds of a mile in three-fourths of an hour. What was his biking speed in miles per ho
    15·1 answer
  • 3a) There were 25 red markers, 32 blue markers, and 38 green markers in a tub. Explain how you would construct a bar graph for t
    13·2 answers
  • Pls help...also ill mark brainlest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!