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DedPeter [7]
3 years ago
7

Which number best repersents the slope of the graphed line

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

Answer:

69

Step-by-step explanation:

What is the graph?

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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
Find the solution set of the inequality<br>4x - 1&lt;11.<br>​
Nikitich [7]

Answer:

x<3

Step-by-step explanation:

4x-1<11

4x<11+1

4x<12

divide by 4 each side

x<3

7 0
3 years ago
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a silkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their
Scorpion4ik [409]

Answer:

Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

Step-by-step explanation:

Let the length of the silk fiber = x yards.

Let the number of silk fibres = a.

It is given that the silk fibers between 3 to 10 yards are combined to form a silk thread of 300 yards.

So, we get the equation,

ax=300, where 3\leq a\leq 10

i.e. x=\frac{300}{a}, 3\leq a\leq 10

So, the possible values of 'a' are 3, 4, 5, 6 an 10.

Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

3 0
3 years ago
A ride at a theme park lasts 1 1/2 minutes. It takes 2 minutes to prepare the ride for each trip. How many times can the ride be
Darya [45]
8 or 8 1/2 because you won't finish the ride due to 28 + 3 1/2 being odd
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3 years ago
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Is there any tutors orrr
Papessa [141]
There’s tutors for math i just asked a tutor for help lol
4 0
2 years ago
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