If Jonny and Suzy share a $10 burger, how much does each owe?

A scale drawing or floor plan is a representation of an actual object or space drawn in two-dimensions. For a floor plan, you can imagine that you are directly above the building looking down. The lines represent the walls of the building, and the space in between the lines represents the floor.

In order to find the actual dimensions from a floor plan, you can set up and solve a proportion. The scale given in the drawing is the first ratio. The unknown length and the scale length is the second ratio.

Let’s look at an example.

The floor plan below shows several classrooms at Craig’s school. The length of Classroom 2 in the floor plan is 2 inches. What is the actual length, in feet, of Classroom 2?

First, set up a proportion. The scale in the drawing says that

12′′=3′

, therefore the proportion is:

0.5 inches3 feet

Next, write the second ratio. You know the scale length is 2 inches. The unknown length is

x

. Make sure that the second ratio follows the form of the first ratio: inches over feet.

0.5 inches3 feet=2 inchesx feetThen, cross-multiply.

0.530.5x0.5x===2x2×36Then, divide both sides by 0.5 to solve for

x

.

0.5x0.5x0.5x===660.512The answer is 12.

The actual length of the classroom is 12 feet.

8 0

3 years ago

What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?

AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

$6, 7, 13, 20, ...$

It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

As

$d = 7-6=1$ , $d = 13-7=6$

As d is not same. Hence, it cannot be an arithmetic sequence.

It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

As

$r = 7-6=1$ , $r = 13-7=6$

$r = \frac{7}{6}$ , $r = \frac{13}{7}$

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

${\displaystyle F_{1}=1$

and

$F_{n}=F_{n-1}+F_{n-2}$

for n > 1.

Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence

Learn more about sequence from brainly.com/question/10986621

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6 0

3 years ago