1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
choli [55]
3 years ago
9

The amount of time t it takes for a group of volunteers to clean up a park varies inversely with the number of volunteers v. If

it takes 7 volunteers 1.25 hours to clean up the park, which of the following equations models this situation?

Mathematics
2 answers:
Step2247 [10]3 years ago
6 0

Answer:

<h3>C. \ t=\frac{8.75}{v}</h3>

Step-by-step explanation:

Given the time t it takes for a group of volunteers to clean up a park varies inversely with the number of volunteers v.

Therefore, we could write in inverse relation between t and v as

t=\frac{k}{v}, where k is the constant of proportionality.

We also given if it takes 7 volunteers 1.25 hours to clean up the park.

Therefore, plugging t=1.25 and and v=7 in above inverse relation, we get

1.25=\frac{k}{7}

On cross multiplying, we get

1.25 \times 7 = k

k= 8.75.

So, we got value of the constant of proportionality = 8.75.

Plugging k= 8.25 in inverse relation, we get

<h3>t=\frac{8.75}{v}, which is c option.</h3>
sweet-ann [11.9K]3 years ago
4 0
T ∝ 1/v 

<span>so, t = k/v or tv = k </span>

<span>Then, with t = 2.5 and v = 5 we have: </span>

<span>2.5 = k/5 </span>

<span>so, k = 12.5 </span>

<span>Therefore, t = 12.5/v or vt = 12.5  HOPE IT HELPED</span>
You might be interested in
What is AB to the nearest meter
sashaice [31]

Answer:

C. 15

Step-by-step explanation:

Small triangle is similar to larger one so we can use the similarity ratio to solve the question:

CE/CA = DE/AB

4/12 = 5/AB cross multiply expressions

4AB = 60 divide both sides by 4

AB = 15

6 0
3 years ago
Read 2 more answers
100 POINTS!!!! CAN ANYONE PLEASE HELP ME OUT WITH THIS??!!
JulsSmile [24]
The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100

7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.

8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.
THESE ARE JUST ANSWERS I FOUND ONLINE TO SEE IF THEY HELP YOU IF THEY DONT IM SORRY
6 0
3 years ago
Which equation can be used to calculate the area of the shaded triangle in the figure below?
GrogVix [38]

Answer:

It is \frac{1}{2} (12 × 4) = 24

Step-by-step explanation:

\frac{1}{2} (base × height) = area of triangle

\frac{1}{2} (12 × 4) = area

area = 24

3 0
2 years ago
Which of these is equivalent to 1 over x to the power of 5 ? 1 fifth x negative x to the power of 5 x to the power of 5 x to the
Kisachek [45]

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

5 0
3 years ago
(2+x)(2−x)?? helppppppp
shusha [124]
You can find one the picture I send




3 0
3 years ago
Read 2 more answers
Other questions:
  • nate went shopping at a bookstore. the price of a book was 14.95 but it had a sale sticker. when he paid for it he was charged 1
    11·1 answer
  • How much will the car cost with the extras? A Hyundai Sonata has a base price of $21,150. You can add an energy efficient packag
    12·1 answer
  • How can I graph y= -4x+5 Can you make a table of the numbers
    6·1 answer
  • Abbie decides to start doing crunches as part of her daily workout. She decides to do 15 crunches the first day and then increas
    7·1 answer
  • What the inverse of <br> f(x)=4x²
    13·1 answer
  • Solve for x. -5&lt;2x+1&lt;-1
    8·1 answer
  • What is the value of 5w if w = 6
    14·2 answers
  • The dishes have been cleaned by us into active voice​
    5·2 answers
  • CAN ANYONE HELP ME ON THIS
    9·1 answer
  • One side of a rectangle is 12 yd shorter than three times another side. The area of the rectangle is 756
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!