Please Write three expressions that are equivalent to 24k + 12k.

Look at pic and answer plz

Llana [10]

Answer:

D.

Step-by-step explanation:

the total amount is $1200 per month

225+375= 600

1200/600= 1/2= 0.50=50%

4 0

3 years ago

Read 2 more answers

Sandy needs to create a triangular structure for her science project. She has two

Elina [12.6K]

Answer:

The third piece must be 14.4 inches

Step-by-step explanation:

We use the triangle inequality theorem to get the third side

using the theorem, it must be that the sum of the two will be greater than the length of the third side

Hence we have it that;

a + b > c

6.5 + 8.1 > c

14.6 > c

So what this mean is that the third length is less than 14.6

the reasonable answer out of the options is thus 14.4 inches

reason for this is that the last two options will also not follow the inequality theorem

6 0

3 years ago

A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

solving for $\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}$

We need to find the value of r, which can be obtained by using the condition that in that exact time

$\displaystyle V=\frac{2048}{3}\pi\ cm^3$

$\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3$

Simplifying and isolating r

$\displaystyle r^3=512$

$\displaystyle r=\sqrt[3]{512}=8\ cm$

Replacing in the rate of change

$\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}$

$\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }$

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

8 0

3 years ago

How many cubes with edge length of ⅓ inch are needed to fill a rectangular prism that is 3 inches by 1 inch by 1 ⅓ inches?

Galina-37 [17]

Answer:

<em>We need 108 cubes to fill the rectangular prism</em>

Step-by-step explanation:

We are given the dimensions of a cube with an edge length of 1/3 inch.

A rectangular prism is to be filled out with those cubes. The dimensions of the prism are 3 inches x 1 inch x 1 1/3 inches.

The fraction 1 1/3 is expressed as:

$1\frac{1}{3}=1+\frac{1}{3}=\frac{4}{3}$

We need to know how many cubes fit in each dimension. It can be found by dividing them by their edge length:

$\displaystyle \frac{3}{\frac{1}{3}}=3*3 =9$

$\displaystyle \frac{1}{\frac{1}{3}}=1*3 =3$

$\displaystyle \frac{\frac{4}{3}}{\frac{1}{3}}=\frac{4}{3}*3=4$

Now we multiply the number of cube per dimension:

9*3*4=108

We need 108 cubes to fill the rectangular prism

5 0

3 years ago

geraldo is going to paint the interor walls of the lobby of the local history museum.the room is 40 ft by 60 ft.its height is 16

maks197457 [2]

Since the dimensions are 40 ft by 60 ft, and 16 ft high, I assume the floor of the room is shaped like a rectangle.
Each wall is a rectangle. Two walls measure 40 ft by 16 ft, and two walls measure 60 ft by 16 ft.

lateral area = 40 ft * 16 ft * 2 + 60 ft * 16 ft * 2

lateral area = 1280 ft^2 + 1920 ft^2

lateral area = 3200 ft^2

3 0

4 years ago