Using Different Representations

Which of the following describes the decimal .3?

N76 [4]

Hey there!

When you see the decimal that looks like (0.3) this would be called a terminating decimal, which is a decimal that always have extra numbers at the end.

For example:

2.(3)

1.(67)

The number's that are in the parenthesis are the terminating numbers.

Hope this helps you!
~Jurgen

7 0

4 years ago

Read 2 more answers

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

4 years ago

Read 2 more answers

Determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8

SpyIntel [72]

Answer:

x = 3 ± $\sqrt{24}$

or

x = 3 + $\sqrt{24}$ , x = 3 - $\sqrt{24}$

Step-by-step explanation:

given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40

So, we plug in 40 for f(x) in the 1st equation and solve for x. (Aim to got x on its own)

40 = 2 (x - 3)^2 - 8

+ 8 + 8

-----------------------------

48 = 2 (x - 3)^2

/2 /2

-----------------------------

24 = (x - 3)^2

square root both sides

--------------------

$\sqrt{24}$ = x - 3

x = 3 ± $\sqrt{24}$

5 0

3 years ago

(x-5y,-3):(1,3y-x) find value of x and y Please help me to solve thiss!!

11Alexandr11 [23.1K]

Answer:

x=11, y=2

Step-by-step explanation:

We can set 1 equal to x-5y and then solve for x. and y.

x = 5y+1

y = x-1/5

We can use this information and plug back in the values for 3y-x or x-5y.

We can set -3 = 3y-x or 1 = x-5y.

To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.

We can do a bit of algebra which would get us x = 11.

Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.

y=2

x=11, y=2

3 0

2 years ago

Select the correct answer from each drop-down menu.

pychu [463]

The figure shows that the polygon:

Has 6 sides.
Divided into 4 triangles.
Total interior angle measure of 180°.
Total measure of the interior angles of this polygon is 720°.

<h3>What is the polygon about?</h3>

The polygon has sides of: AB, BC, CD, DE, EF, FA.

So, this means that they have 6 sides and when you look at the diagram, this 6 sides can be divided into 4 triangle of which whose total interior will sum up to 180°.

Since there are 4 triangles and the interior is 180°, then to get the total measure of the interior angles of this polygon will be:

= 180 X 4 = 720

Therefore, one can say that the The figure shows that the polygon, has 6 sides, may be divided into 4 triangles, each of which will have a total interior angle measure of 180. Therefore, the total measure of the interior angles of this polygon is 720.

Learn more about Polygon from

brainly.com/question/1592456

#SPJ1

5 0

2 years ago