Fill in the blank.if necessary, use the slash marks (/) for a function bar. if sin theta= 3/5, then cos theta=

Subtract the volume of the inside diameter from the volume of the outside diameter and then multiply that by the density.

Volume of outside:

PI x 1.8^2 x 3.9 = 39.67704 cubic cm

Volume of inside:

PI x 1.35^2 x 3.9 = 22.318335 cubic cm

Difference: 39.67704 - 22.318335 = 17.358705 cubic cm.

Mass = 17.358705 x 8 = 138.86964 grams. Round the answer as needed.

Answer:

Let x be the number of albums to be  bought and

let y be the number of movies  to be bought.

The amount to be spent on albums is 10x and

The amount to be spent on movies is 30y.

As per the given condition: The total amout to be spent must equal $ 150.

then, we have

             ......[1]

Now, find x-intercepts and y-intercepts of equation [1];

x-intercepts defined as the graph crosses the x-axis.

Substitute y= 0 in [1] to solve for x;

10x =150

Divide both sides by 10 we get;

Simplify:

x = 15

y-intercepts defined as the graph crosses the y-axis.

Substitute value of x=0 in [1] to solve for y;

10(0)+30y = 150

30y =150

Divide both sides by 30 we get;

y =5

Now, plot these points (0, 5) and (15, 0) on graph and  connect them with a line as shown in the figure below;

Answer:

x + 3y = 15

The graph is attached below.

Step-by-step explanation:

Given the price of album = $10.

and the price of movies = $30.

Let's assume she buys "X" albums and "Y" movies.

Cost would be (10X + 30Y).

She plans to spend a total of $150, so cost would be same as total expenditure.

10X + 30Y = 150

X + 3Y = 15

we can graph this equation of line on a graph paper as given below:-