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 lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre.

Answers

Answer 1

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

Step-by-step explanation:

Hope this helps!!

Answer 2

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

We have,

To determine the slope of the line passing through the points (3, 1.5) and (5, 2.5), we can use the slope formula:

Slope = (change in y) / (change in x)

Given the two points, we can calculate the change in y and the change in x:

Change in y = 2.5 - 1.5 = 1

Change in x = 5 - 3 = 2

Plugging these values into the slope formula:

Slope = 1 / 2 = 0.5

The slope represents the rate of change of the y-coordinate (area) with respect to the x-coordinate (time).

In this case, a slope of 0.5 means that for every hour it takes Aaron to mow a lawn (change in x), the area mowed (change in y) increases by 0.5 acres.

Therefore,

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

Learn more about slope here:

https://brainly.com/question/23087740

#SPJ2


Related Questions

IS 7 LESS THAN OR GREATER THAN -3

Answers

Answer:

7 is greater than -3

Step-by-step explanation:

7 is positive meaning is more than any negative number

Answer:

7 is greater

Step-by-step explanation:

Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.

What is 300 million divided by 1 thousand?

Answers

Answer:

the answer is three hundred thousand

300 million / 1 thousand is simply 300 thousand. hopefully this bud helpful!

x/3 - 15 = -7 solve for x

Answers

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

[tex]\frac{x}{3}-15=-7[/tex]

Add 15 to both sides:

[tex]\frac{x}{3}-15+15=-7+15[/tex]

[tex]\frac{x}{3} =8[/tex]

Multiply both sides by 3:

[tex]\frac{3x}{3}=8\times3[/tex]

[tex]x=24[/tex]

Name the property illustrated by each equation.
(6.8)x5 = 6x(8.5)

Answers

Answer:

Commutative Property Of Multiplication

Help me ASAP plssssssssss

Answers

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

How do you do both questions?

Answers

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

SD and SG are tangent to ⊙ K. Identify SG. HELP!!

Answers

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

coeffecient of x in -7xyz2

Answers

☽------------❀-------------☾

Hi there!

~

The coefficient of x in -7xyz2 is -7.

❀Hope this helped you!❀

☽------------❀-------------☾

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer:

149.5 pages excluding the back parts

150.8 pages including the back parts

Step-by-step explanation:

Total pages in Math 123 book = 230 pages

You aim to complete 65% of all the pages, how many should you finish

65 % of 230 pages

= 65 / 100 × 230 pages

= 0.65 × 230 pages

= 149.5 pages excluding the bark parts of the book

If you include the back parts, that is, the beginning and ending page

You have a total of 230 pages + 2 pages

= 232 pages

65 % of 232 pages

= 65 / 100 × 232 pages

= 0.65 × 232 pages

= 150.8 pages including the back parts

State the domain and range and determine if its a function?

Answers

Domain is 3, 6, 12, 18. Range is 5, 7, 9, 10. Not a function because the domain 6 has two different outputs

ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %

Answers

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

10 [12 2+ (4 x 2)] ÷ 8 2

Answers

The answer is =
20x+60

I need help and can u explain how to do it please and thank u

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]

π[tex]6^{2}=113.0973355[/tex]

✦ Round:

[tex]113.0973355=113.1[/tex]

So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

yes ion think u need my help

Step-by-step explanation:

5+5 you get 39 points

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Use a calculator to find this or simply use your figers and count 5 more starting from 5.

C is the midpoint of BD. If BC = 6x and BD = 13x - 6, what is BD?
B.
6x
с
D
13x - 6

Answers

Answer:

BD = 72

Step-by-step explanation:

C is the midpoint of BD.

Therefore,

BD = 2BC

13x - 6 = 2*6x

13x - 6 = 12x

13x - 12x = 6

x = 6

BD = 2*6X = 12*6= 72


Evaluate the expression |- 178|

Answers

the lines mean that the number is going to become positive. |-178| will become positive meaning it will become= |178|

Answer:

178

Step-by-step explanation:

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).

Answers

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?​

Answers

Answer:

$4.95

Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

a triangle has side lengths of (9.7m-6.8m) centimeters, (6.6m+6.5p) centimeters, and (2.2p-6.4n)centimeters. which expression represents the perimeter, in centimeters, of a triangle?

Answers

Answer:

To find the perimeter of a triangle, you would need  first all three side lengths.  

9.7m-6.8m = 2.9, 6.6m+6.5p=7.1, 2.2p-6.4= -4.2. once I added all the sides it was 5.8.

Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter​

Answers

the answer is 150 dollars

Step-by-step explanation:

I know this because you add

We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00

We know that:

You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.

So the total amount of money that you have is the sum of all these values, we will get:

£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00

Then the total amount that  you have is: £150.00

If you want to learn more, you can read:

https://brainly.com/question/19245500

PLEASE HELP PLEASE PLEASE

Answers

Answer:

The second one is d. 13

Step-by-step explanation:

Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.

Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?

Answers

Explanation: 216 quarters/8 quarters per bottle = 27

What am I doing wrong in step 5?

Answers

Step-by-step explanation:

t = 9x, and dx = 1/9 dt.

∫ sin(9x) dx

= ∫ sin(t) (1/9 dt)

= 1/9 ∫ sin(t) dt

= -1/9 cos(t)

= -1/9 cos(9x)


[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]

If k>0 and x=7 in the equation, what is the value of k?​

Answers

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

Find |-22| =
Pls show your work

Answers

Answer:

I think it's 22

Step-by-step explanation:

because it's inverse operations all you do is remove the negative and the barackets

I am genuinely so confused please help

Answers

Answer:

I hope it will help you :)

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

2. Graph the inequality.
y<- 3x-2

Answers

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

y=mx+b
M= slope
B= y-intercept

-2 is the y-intercept (0,-2), plot those coordinates

-3x is the slope
- slope is -3/1
- top number depicts if you go up or down, (-) go down and (+) go up
- the bottom number you go to the right

So, from (0,-2) go down three and to the right one

Graph a dotted line since it is

Find the slope of the line passing through the points (8, 3) and (9, 7)

Answers

Answer:

4

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 7-3)/(9-8)

    = 4/1

   = 4

Given Points:

(8, 3) and (9, 7)

To Find:

The slope of the line passing through the points (8, 3) and (9, 7).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

7 - 3 / 9 - 8

= 4 / 1

= 4

Answer:

4

What’s is ittttt I neeed helppp

Answers

Answer:

n = 14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

n = 14

Answer:

n=14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

Hope it helps :3

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