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
Rom4ik [11]
3 years ago
10

A rectangular box with a square base is open at the top and has a volume of 12 cubic feet. Each side of the base has a length of

x feet. Which of the following expresses the surface area, S, in square feet, of the outside of the box in terms of x?
a) S=5x^{2}
b) S= \frac{12}{ x^{2} }
c) S= x^{2} + \frac{24}{x}
d) S= x^{2} + \frac{48}{x}
e)S= x^{2} + \frac{48}{ x^{2} }
Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

We know that the side lengths of the square base are: x * x. The volume is 12, so for now, let's say that y is the other side length. Then, x * x * y = 12. We can solve for y: y = 12/x^2. Now, we find the surface area of the 5 sides.

Four of the sides have the same area: x * (12/x^2) = 12/x, so we multiply this by 4: 48/x.

The last side is the base: x * x = x^2.

We add 48/x to x^2:

x^2 + 48/x

So, the answer is the fourth choice, (d).

You might be interested in
Someone please help me
Whitepunk [10]

Since the exponent is on the outside of the paranthesis, you'd have to multiply it by everything on the inside: a^m x b^m

5 0
3 years ago
Maya paid $11.88 for a 2.38-pound bag of shrimp at one store. The following week, she paid $26.47 for a 5.08-pound bag at anothe
lbvjy [14]

Answer:

2.38 lb bag = 4.99/lb   5.08 lb bag = 5.21/lb  The 2.38 is the better buy

Step-by-step explanation:

11.88/2.38 = 4.99

26.47/5.08 = 5.21

4.99 is cheaper than 5.21 so the 2.38 lb bag is better buy

6 0
2 years ago
You are supposed to distribute to only one term (the first).
Tom [10]

Answer:

true

Step-by-step explanation:

There is no distribution (unless you count substitution) in the second set of terms.

Edit: I think I get what your question is now. You are supposed to distribute to every term inside the parenthesis (false)

6 0
3 years ago
Read 2 more answers
Can anyone help me solve this?
xxMikexx [17]

Answer:

a- 16/100

b- 1/6

c- not sure

Step-by-step explanation:

8 0
3 years ago
Multiply <br> 0.105 x 0.7=
Keith_Richards [23]

Answer:

0.0735

Step-by-step explanation:

0.105×0.7=0.0735

8 0
3 years ago
Read 2 more answers
Other questions:
  • The new set of tires you will need for your car cost $320 you have $80 saved how much will you need to save each month to buy th
    15·1 answer
  • A right triangle ABC is shown below:
    13·2 answers
  • Does anybody now Mean, mode,Range,ext? ASAP NEED HELP!!!!!!!!!
    10·1 answer
  • What is 7/8 + 5/6 equal to
    13·2 answers
  • PLZ HELP ME 100 POINT AND BRAINEST Solve the Quadratic Equation X^2 = -8x -7
    6·1 answer
  • Which step will get you closest to the solution of this equation 5×(x-2)=7
    13·1 answer
  • AB = BC. BD bisects ABC​
    10·1 answer
  • Find the slope of the line that is perpendicular to y=-6x+12. PLEASE HURRYTTT
    6·2 answers
  • Graph a line with a y-intercept of -3 and a slope of 1/2
    14·1 answer
  • PLEASE HELP!!: 600 raffle tickets were sold for $5 each. There is one $500 first prize and three $200 second prizes. The remaind
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!