answer.
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
SVEN [57.7K]
2 years ago
5

Adrian ran from his house to the park at a speed of 5 meters per second. He ran back from the park to his house at a speed of 6

meters per second. The total time taken to run the whole journey was 22 minutes. How many minutes did he take to run from his house to the park
Mathematics
1 answer:
denpristay [2]2 years ago
7 0

Answer:time taken to run from his house to the park is 12 minutes

Step-by-step explanation:

Let x represent the distance between his house and the park.

The speed at which Adrian ran from his house to the park is 5 meters per second.

Distance = speed × time

Time = distance/speed

Therefore, time taken to run from his house to the park would be

Time = x/5

The speed at which he ran back from the park to his house is 6 meters per second.

Time taken to run back from the park to his house would be

Time = x/6

The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,

x/5 + x/6 = 1320

Multiplying through by 30, it becomes

6x + 5x = 39600

11x = 39600

x = 39600/11 = 3600 meters

Therefore, time taken to run from his house to the park would be

x/5 = 3600/5 = 720 seconds

Converting to minutes, it becomes

720/60 = 12 minutes

You might be interested in
For every 6kg a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48 kg, how many milligrams of the
Finger [1]
The answer will be 136mg
48/6=8
8*17=136mg
5 0
2 years ago
A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips
Flauer [41]

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

600-150\\\\=450

So, We can get the ratio of tulips to daffodils which is given by

Tulips:Daffodils\\\\150:450\\\\1:3

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.

4 0
2 years ago
Read 2 more answers
In a large population, 76% of the households own microwaves. A simple random sample of 100 households is to be contacted and the
zzz [600]

Answer:

Mean and standard deviation of the sampling distribution of the sample proportions are 76 and 0.0427 respectively.

Step-by-step explanation:

The mean for a sample proportion is given by μ = np

n = sample size = 100

p = fraction of the sample proportion that have what is being tested = 76% = 0.76

μ = 0.76 × 100 = 76.

Standard deviation of a sample proportion = σ = √[p(1-p)/n] = √(0.76×0.24/100) = 0.0427

7 0
2 years ago
Read 2 more answers
now, suppose one of the roots of the polynomial function is complex. the roots of the function are 2+i, and 5. write the equatio
ahrayia [7]

Answer:

Box 1: 9

Box 2: 25

Box 3: 25

7 0
2 years ago
Read 2 more answers
A production system has a total daily output of 400 units and a total labor of 350 hours, what kind of productivity measure can
fomenos

Answer:

1.14 products per hour of labor

Step-by-step explanation:

To calculate the daily productivity would be the amount of products per hour of labor.

That is: 400 products / 350 hours of labor, and that is approximately 1.14 products per hour of labor.

Which means that for every hour of labor, 1.14 products are produced in one day, which would be a factor of productivity.

4 0
2 years ago
Other questions:
  • Find the difference and express the answer in scientific notation. 452.7 x 103 - 2.7 x 105
    5·2 answers
  • What is the maximum number of times two planes can intersect? What is the minimum number of times they can intersect?
    10·1 answer
  • Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
    9·1 answer
  • Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv
    10·1 answer
  • A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has
    10·1 answer
  • A professional writer decides to judge the value of her laptop by the number of times she presses
    5·1 answer
  • In circle D, ∠EDH ≅ ∠EDG. Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are draw
    14·1 answer
  • The number that is 75% of one less than a number n.
    5·1 answer
  • A survey asked students at Wilson Academy which status they would prefer—to be happy, healthy, or rich—and how much pressure the
    12·1 answer
  • The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!