louise skip counts by 4 on a number line to find 5×4. How many jumps should she draw on number line?

The area of one square is 49 square inches.

What is a square?

A square is a two-dimensional figure and a four-sided polygon which has it's all sides equal in length and the measure of the angles are 90 degrees. The total interior angle is 360 degrees.

For the given situation,

The figure is made up of two identical squares. So it forms a rectangle.

Let width be x then length be 2x.

Perimeter of rectangle = 42 inches

The formula of perimeter of rectangle is

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⇒

⇒

⇒

⇒

⇒

Thus one side of the square is 7 inches.

So formula of area of square is

⇒

⇒

⇒

Hence we can conclude that the area of one square is 49 square inches.

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first solve for the perimeter of the rectangle

2w + 2l = 42

since the length of the rectangle is twice as long as the length and width of the square

2w = l

solve using substitution

2w + 2(2w) = 42
2w + 4w = 42
6w = 42
w = 7

are is length x width. a square has the same length and width

7 x 7 = 49

the area of one square is 49

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:-