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
7nadin3 [17]
3 years ago
12

A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb pe

r cubic inch, what is the total weight of the pebbles in the cube?
Mathematics
1 answer:
AveGali [126]3 years ago
4 0
First we must find the volume of the cube. This is equal to side^3. 4^3=64 cubic inches. Since the pebbles are .5 pounds per cubic inch and we assume it is packed we multiply the volume by .5
This will give 32 pounds
You might be interested in
There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.
galben [10]

Answer:

D.  $1.95

F.  $3

Step-by-step explanation:

dimes:  x + 2

quarters:  x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes:  x + 2 = 5 + 2 = 7

quarters:  x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes:  x

quarters:  2x

x + 2x = 15

3x = 15

x = 5

dimes:  x = 5

quarters:  2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

5 0
2 years ago
Use the distributive property to simplify the expression 11 (x-5)
olga_2 [115]
The distributive property, in this case, is to multiply the number outside the parenthesis by the numbers and characters inside the parenthesis:


11 (x - 5)
11x - 55 → Simplified expression.



Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
The graph of y=-3x+4 is:
anzhelika [568]
The answer is C! a line that shows the set of all solutions to the equation :)
3 0
3 years ago
The radius of a sphere was measured and found to be 20 cm with a possible error in measurement of at most 0.02 cm. What is the m
Elena L [17]

Answer:

D(V)  = 100,48 cm³

Step-by-step explanation:

The volume of a sphere is:

V(s) = 4/3 π*r³

Where r is the radius of the sphere

If we take derivative of V  respect r

D(V)/ dr  =  4/3*3*π*r²    ⇒ D(V)/ dr  = 4*π*r²   ⇒ D(V) =  4*π*r²*dr

We know:

r = 20 cm     and   dr  =  0,02  ( at most)

Then

D(V)  = 4*π*(20)²*0.02  cm³

D(V)  = 32*π      

D(V)  = 100,48 cm³

7 0
3 years ago
Find the vertex of the parabola. Is the vertex a maximum or minimum? What is the equation for the axis of symmetry?
Phoenix [80]

Answer:

(2,45) ; x = 2

Step-by-step explanation:

The method for solving for the vertex of a parabola from standard form involves converting to vertex form by forming a squared term. First, we need to actually put this equation into standard form, which dictates that the x^2 must never have a number in front of it (including -1). This means factoring out a negative 5 from the whole left side:

-5 (x^2 - 4x - 5) = y.

The next step is to pull the -5 out of the parentheses,

-5 (x^2 - 4x) + 25 = y,

which means multiplying it by the term on the outside to result in a positive 25. From here, we form the squardo term from what is inside the parentheses. We do this by changing the form of the equation, similar to how one changes the form of a fraction (multiplying by a number over the same number so that you are effectively multiplying by one). Inside of the parentheses, we a going to add a number and on the outside of the parentheses, we are going to subtract that number multiplied by what is in front of the parentheses (effectively adding zero to the equation):

-5 (x^2 - 4x + __) +25 - (-5*__) = y.

Now, the number that goes in the blank is the coefficient of the x divided by two and then squared:

__= (-4/2)^2,

__= 4.

From there, we just plug in the __ , simplify, and factor:

-5 (x^2 - 4x + (4)) + 25 - (-5*(4)) = y,

-5 (x^2 - 4x + 4) + 25 - (-20) = y,

-5 (x^2 - 4x + 4) + 45 = y,

-5 (x - 2) (x - 2) + 45 = y,

-5 (x - 2)^2 + 45 = y.

Now the equation is in vertex form, and from it, we can determe the vertex. The general equation for vertex form is

m (x - x_{1}) + y_{1} = y,

where (x_{1},y_{1}) is the vertex. <em>*Notice that there is a negative sign built in to the equation, so when you pull out </em>x_{1}<em>, make sure that you leave behind a negative sign.</em> In our case, we pull out a positive two, leaving behind the negative sign. <em>*If it were a ( x + 2 ), we would change it into ( x - (-2)) and pull out the -2, leaving behind a negative sign.*</em>

This gives us a vertex of (2,45).

Now, the second part of the question asks for the equation of the axis of symmetry. The general equation for the axis of symmetry is

x = x_{1},

since the axis of symmetry is just a vertical line that goes through the vertex. Plugging in x_{1} then gives us

x = 2,

our axis of symmetry.

6 0
3 years ago
Other questions:
  • Sophie drove 189 miles in 7 hours. If she continued at the same rate, how long would
    15·1 answer
  • What is the ratio 15 to 40 in simplest form
    11·1 answer
  • Can y’all please helpppp!
    8·1 answer
  • Which angle has a tangent and cosine that are both negative? a. 110° b. 180° c. 210° d. 340°
    15·1 answer
  • The value of 5 in the number 357.21 is
    15·1 answer
  • The function f(x) = 2x2 + 2 represents the rate of a bus traveling in miles per hour. The function g(x) = x + 2 represents the t
    9·2 answers
  • When asked their favorite color, 9 students said blue, 14 students said orange, 6 students said red, and 2 students said green.
    5·1 answer
  • The polynomial -x^3-x^2+12x represents the volume of a rectangular aquatic tank in Cubic feet. The length of the tank is (x+4).
    7·1 answer
  • On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
    15·1 answer
  • A house costs 36% more today than when it was built.If the cost of the house today is $333,200, find the cost when it was built.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!