Describe the conditions necessary for the variance to have the value zero.

Answer:

Step-by-step explanation:

To draw the plan of the class foundation using a scale of 5m to 4cm, you'll need to create a scaled-down representation of the room, including the door and windows. Here are the steps to draw the plan:

1. Determine the size of your drawing area. Since the scale is 5m to 4cm, you need to calculate the dimensions of your drawing area.

Length of the class: 20m

Breadth of the class: 10m

Using the scale, for every 5 meters in reality, you will represent it as 4 centimeters in your drawing. So, you'll need a drawing area that can accommodate these dimensions, and the scale conversion.

Length of drawing area = (20m / 5m) * 4cm = 16cm

Breadth of drawing area = (10m / 5m) * 4cm = 8cm

Therefore, your drawing area should be approximately 16cm by 8cm.

2. Draw the outline of the class: Using a ruler and a pencil, draw a rectangle with dimensions 16cm by 8cm to represent the classroom. This rectangle represents the foundation of the class.

3. Draw the door: The door is 8 meters long and 4 meters wide. Using your scale, you'll represent it as 4cm by 2cm in your drawing. Draw a rectangle within the classroom rectangle to represent the door. The top edge of the door should align with one of the longer sides of the classroom.

4. Draw the windows: The windows are 5 meters long and 3 meters wide. Using your scale, you'll represent each window as 4cm by 2.4cm in your drawing. Place the windows where they would be on the classroom walls, leaving space between them and the door.

5. Label the drawing: You can label the door and windows to indicate their dimensions if needed.

Answer:

There are 72 books on all the three shelves.

Step-by-step explanation:

Given:

On the bottom shelf there are half as many books as on the other two shelves.

On the middle shelf there are three times less than on the other two shelves.

On the top shelf there are 30 books.

Now, to find the books on all three shelves.

Let the books on the middle shelf be

The books on the top shelf are 30.

The books on the bottom shelf =

So, the books on the middle shelf:

Multiplying both sides by 2 we get:

Subtracting both sides by we get:

Dividing both sides by 5 we get:

Thus, the books on middle shelf are 18.

Now, to get the books on the bottom shelf by substituting the value of :

Hence, the books on the bottom shelf are 24.

Now, to get the total books on all the three shelves we add the books of top, middle and bottom shelf:

Therefore, there are 72 books on all the three shelves.

Answer:13111111/200000000

The required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Total charges of gym = Initial service fee +  $ 35 per month

Thus, the total charges for 6 months = Initial service fee +  35 × 6 =  Initial service fee + 210

According to the question,

Initial service fee +  210 = 250

⇒ Initial service fee = 250 - 210 = $ 40

Hence, the total charges for the gym for x months = 40 + 35x. Here, y represents the total charges for x months,

⇒  y = 40 + 35 x

The total cost of the membership after 10 months will be calculated as:-

y = 40 + 35 x

y = 40 + 35 x 10

y = 390

Therefore, the required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

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