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Ludmilka [50]
3 years ago
7

The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn t

hat took him 1.5 hours to mow. Which equation models the amount in D dollars Troy charges when it takes him H hours to mow a lawn.
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

D = 20H

Step-by-step explanation:

The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.

Hence, we can write D = kH ......... (1), where k is a constant.

Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.

So, from equation (1) we get  

30 = 1.5k

⇒ k = 20.

Therefore, equation (1) becomes D = 20H (Answer)

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The prism is completely filled with 1750 cubes that have edge length of 1/5 ft. What is the volume of the prism? Enter your answ
IgorC [24]

Answer:

14 ft³

Step-by-step explanation:

First, find the volume of a single cube: V = s³, where s = side length

V = s³; s = 1/5

V = (1/5)³

V = 0.008 ft³

**Note: (1/5)³ is equal to 1/125 as a fraction. I put it down in decimal form because it's easier for me to work with decimals.**

Now, to find the volume of the prism (which is <u><em>completely</em></u> filled with cubes), multiply the volume of one cube by the total number of cubes: 1750.

(1750)(0.008)

14 ft³

The volume of the prism is 14 ft³.

Hope this helps!

8 0
2 years ago
A cube has a volume of greater then 125 cm to the third power. What are the possible lengths of the side of that cube?
e-lub [12.9K]
Volume=legnthn times width times height
a cubes legnth=width=height
therefor
volume=legnth^3
volume is greather than 125
125<legnth^3
cube root both sides
5<legnth
th elegnth is anything greather than 5
an example of some numbers are
6,7,30,3240958049238043284023848239048023843,

6 0
3 years ago
If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per ga
mylen [45]

Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

8 0
2 years ago
Am in 8 groups. I am larger than 50. I have 7 in each of my groups. What product am i?
Sergio [31]

Answer:

56

Step-by-step explanation:

8 times 7=56

3 0
2 years ago
What is the greatest common factor of 24, 40 and 32? <br> A. 1 <br> B. 2 <br> C. 4 <br> D. 8
trasher [3.6K]
It’s 8 because 24/8 is 3 and 40/8 is 5 and 32/8 is 4 so the answer is 8 YOUR WELCOME
6 0
3 years ago
Read 2 more answers
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