On a scale drawing, 1cm represents 4 m. What length on the drawing would be used to represent 6.5 m?

The equation can be used to find the actual length of Gregory's room is:

Solution:

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

But option A is wrong

So, Rob made a mistake in measuring the equivalent ratio, it should be

The equation can be used to find the actual length of Gregory's room is:

Solution:

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

But option A is wrong

So, Rob made a mistake in measuring the equivalent ratio, it should be

a. 1000m

b. 117

c. 11000 to base 2

d. $72

Step-by-step explanation:

a. On the scale drawing, the farm land has a length of 20cm.

In real life, using the scale, 1cm represents 50m, thus, the length of 20cm will be 50 * 20 = 1000 m

b. Convert 432 in base 5 to base ten

That would be;

(4 * 5^2) + (3 * 5^1) + (2 * 5^0)

= 100 + 15 + 2 = 117

c. Please check attachment

To do this addition, we should recall that the terms we can have is only 0 and 1.

Also addition of 1 + 1 in base 2 gives 10; and thus we put down 0 and add the 1 to the next set on the left. We keep doing this till we reach the final leftward term where 1 + 1 + 1 equals 3, but we can’t write this and we need to convert to base 2. 3 to base 2 is 11.

This gives us a final answer of 11000

d. Mathematically, the simple interest can be calculated using the formula;

I = PRT/100

where P is the principal which is $300 according to the question

R is the rate which is 6%

T is time which is 4 years

Plugging these values into the equation, we have;

I = (300 * 6 * 4)/100 = 7200/100 = $72

a. 1000m

b. 117

c. 11000 to base 2

d. $72

Step-by-step explanation:

a. On the scale drawing, the farm land has a length of 20cm.

In real life, using the scale, 1cm represents 50m, thus, the length of 20cm will be 50 * 20 = 1000 m

b. Convert 432 in base 5 to base ten

That would be;

(4 * 5^2) + (3 * 5^1) + (2 * 5^0)

= 100 + 15 + 2 = 117

c. Please check attachment

To do this addition, we should recall that the terms we can have is only 0 and 1.

Also addition of 1 + 1 in base 2 gives 10; and thus we put down 0 and add the 1 to the next set on the left. We keep doing this till we reach the final leftward term where 1 + 1 + 1 equals 3, but we can’t write this and we need to convert to base 2. 3 to base 2 is 11.

This gives us a final answer of 11000

d. Mathematically, the simple interest can be calculated using the formula;

I = PRT/100

where P is the principal which is $300 according to the question

R is the rate which is 6%

T is time which is 4 years

Plugging these values into the equation, we have;

I = (300 * 6 * 4)/100 = 7200/100 = $72

Length of the original rectangle is 2.75 cm

Step-by-step explanation:

The dimensions of the scale drawing of rectangle are 8 cm and 11 cm respectively.

This implies that the width of the rectangle is 8 cm while the length of the rectangle is 11 cm.

The scale factor is given as 4. This means that the dimensions of the original rectangle are 1/4 times the given dimensions.

So the length of the original rectangle =

=

Length of the original rectangle is 2.75 cm

Step-by-step explanation:

The dimensions of the scale drawing of rectangle are 8 cm and 11 cm respectively.

This implies that the width of the rectangle is 8 cm while the length of the rectangle is 11 cm.

The scale factor is given as 4. This means that the dimensions of the original rectangle are 1/4 times the given dimensions.

So the length of the original rectangle =

=