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
Ostrovityanka [42]
3 years ago
7

A turtle can walk \dfrac{1}{12} 12 1 ​ start fraction, 1, divided by, 12, end fraction of a kilometer in an hour. The turtle is

\dfrac15 5 1 ​ start fraction, 1, divided by, 5, end fraction of a kilometer away from a pond. At this speed, how long will it take the turtle to reach the pond?
Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

It will take turtle 2\frac{2}{5} \ hour to reach the pond.

Step-by-step explanation:

Given:

A turtle can walk 1/12 of a kilometer in an hour.

The turtle is 1/5 of a kilometer away from a pond.

Now, to find the time it will take the turtle to reach the pond.

<u>Speed</u> of turtle  =  \frac{1}{12}\ kilometer\ per\ hour.

<u>Distance</u> of turtle from the pond =  \frac{1}{5} \ kilometer.

Now, to get the time it will take turtle to reach the pond we put formula:

Time=\frac{Distance}{speed}

Time=\frac{\frac{1}{5}}{\frac{1}{12}}

Time=\frac{1}{5} \times \frac{12}{1}

Time=\frac{12}{5}

Time=2\frac{2}{5}\ hour.

Therefore, it will take turtle 2\frac{2}{5} \ hour to reach the pond.

You might be interested in
Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square
aniked [119]

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

<h3>What is the volume of a rectangular prism?</h3>

It is given by the multiplication of the base area by the height, that is:

V = S_bh

In this problem, we have that the measures in square inches and inches, respectively, are given by:

S_b = 400, h = 17

Hence:

V = 400 \times 17 = 6800

The volume of paper in the recycling bin is of 6800 cubic inches.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

3 0
2 years ago
I’m so confused! Can someone help me with this? Please and thank you!
ludmilkaskok [199]

Answer:

D.

Step-by-step explanation:

1) the domain is x∈[0;+∞);

2) the solution is:

\sqrt{x}\leq 10; \ => \ x\leq 100;

3) finally, the solution with the domain is:

x∈[0;100].

7 0
2 years ago
Divide 28 cans of soda into two groups so the ratio is 3 to 4
kaheart [24]
First, you add the two ratio numbers to figure out what to divide your 28 cans of soda by.

3=4=7
Next, you divide this amount into your total amount of cans of soda.

28/7=4.

This means that for each one in the ratio, there is 4 cans.  So you multiply both numbers in the ratio by 4.

3*4 = 12
4*4=16

So, your final answer is 12:16, or 12 cans of soda in one group, and 16 cans of soda in the other.
6 0
3 years ago
Find the value of :[5x+y+z][5x+y+z][5x+y+z]
KIM [24]

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

6 0
3 years ago
In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
Other questions:
  • [{(-42)÷7} -(-2)] × (-7) +7
    9·2 answers
  • What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 6?
    7·2 answers
  • Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus
    7·2 answers
  • Lines m and lines n are parallel . They are cut by transversal t . What other angle is equal to 65 degrees
    10·1 answer
  • Harold had a summer lemonade
    6·1 answer
  • What is the special rule with multiplying or dividing an equality by a negative number?
    13·1 answer
  • A doctor is studying heights of newborn babies. The doctor uses 20 inches as a reference point. Babies in the study receive a sc
    14·1 answer
  • Find the value of x so that the function has the given value.<br> f(x) = 6x – 9; f() = 51
    13·1 answer
  • Select the correct answer. What is the solution to the equation? 3(x+9) ^3/4 = 24
    13·1 answer
  • A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. F
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!