All categories

2 years ago

How to add subtract multiply and divide fractions?

1 answer:

3 0

Add and subtract: Find Least Common Denominator, multiply out, add/subtract as normal

Multiply: Multiply both top and bottom

Divide: Multiply by reciprocal

You might be interested in

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:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

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, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

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

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

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

3 years ago

Read 2 more answers

What is the value of x

GarryVolchara [31]

<h2><u>We can solve it using trigonometric values.</u></h2>

<h3>So , <u> </u><u>sin</u><u> </u><u>θ</u><u> </u> = ( Perpendicular / Hypotenuese )</h3>

<h2><u>Given</u><u> </u></h2>

Perpendicular = x

Hypotenuese = 30

${ \sf{sin \: \: 45 {}^{ \degree} = \dfrac{1}{ \sqrt{2} } = \dfrac{x}{ 30} }}$

${ \sf{x = \dfrac{30}{ \sqrt{2} } }}$

<h2>∴ x ( Perpendicular)= 15√2 <u>Ans</u><u>.</u></h2>

3 0

3 years ago

Read 2 more answers

Polygon A is a square. Polygon B has 1 more sides than polygon A. What type of polygon is B?

Diano4ka-milaya [45]

The correct answer is A

5 0

3 years ago

Read 2 more answers

Graph the image of the figure using the transformation given.<br>reflection across y=-1

Vikki [24]

Answer:

I'm not graphing, but I can describe the reflection as R', S', T', U':

R' = (-3, 1)

S' = (-2, 0)

T' = (-1, 2)

U' = (-2, 2)

Step-by-step explanation:

y = -1 is the line one unit below the x axis (the x axis is y=0).

To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)

R = (-3, -3), R' = (-3, -2+3) = (-3, 1)

S = (-2, -2), S' = (-2, -2+2) = (-2, 0)

T = (-1, -4), T' = (-1, -2+4) = (-1, 2)

U = (-2, -4), U' = (-2, -2+4) = (-2, 2)

6 0

2 years ago

Two lines, A and B, are represented by the following equations:

ch4aika [34]

Line A: 2x+2y=8 ⇒2y=-2x+8 ⇒ y=-x+4
Line B: x+y=3 ⇒y=-x+3

Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1 ⇒There is no solution because the lines are parallels

Answer: There is no solution

8 0

3 years ago

Read 2 more answers