Mathematics High School

Three friends entered a race around a track. Edward takes 6 minutes to run one lap. Bernie takes 3 minutes to run one lap and it takes Freddie 5 minutes to run one lap. If all three friends begin the race at the same time, how many minutes will it take for all three friends to be at the starting point again?

Answers

Answer 1

Answer:

It will take 30 minutes

Step-by-step explanation:

Here, we want to calculate the time it will take for the three friends to be at the starting point again

What we do here is to note the time it will take for each of the three friends to run a lap

That will be 6 , 3 and 5

What we now need to know the time is to find the lowest common multiple of the three amount of time

The lowest common multiple of 6,3 and 5 is 30

So the amount of time it will take the friends to be at the starting point again is 30 minutes

Related Questions

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

Answers

Answer:

Step-by-step explanation:

edge2020

The equation of the line is 7x+2y = 1

What is an equation of a line?

The equation of a line is linear in the variables x and y which represents the relation between the coordinates of every point (x, y) on the line. i.e., the equation of line is satisfied by all points on it.

Given that a line is passing through two points J(-3, 11) and K(1, -3). we need to find the equation of line JK,

So, we know that the equation of a line passing from two points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁/x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) = J(-3, 11) and K(1, -3)

Therefore, the equation of the line =

y-11 = -3-11 / 1+3 (x+3)

y-11 = -7/2(x+3)

Multiply by 2,

2y-22 = -7(x+3)

2y-22 = -7x-21

7x+2y = 1

Hence the equation of the line is 7x+2y = 1

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150 x + 500 > 2000
What is the solution

Answers

Answer:

X > 10

Step-by-step explanation:

What is the slope of the line that passes through the points (3,5) and ( −1, 5)? Write your answer in simplest form.

Answers

Answer:

m = 0

Step-by-step explanation:

Answer:

m = 0

Step-by-step explanation:

Use the slope formula m = y2 - y1/x2 - x1

(5-5)/(-1-3) = 0/-4

= 0

help is needed for this one

Answers

Answer:

Step-by-step explanation:

a) 60 / 30 = 2

b) 700/70 = 10

c) (90 * 20)/ 60

= 9*2 / 6

= 3.

Please help!! Solve for n.

Answers

Answer:

n = 9

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for n.

3 x 3 = 9

Therefore, n = 9

Hope this helps! :D

Answer:

n^9

Step-by-step explanation:

because all you have to do is multiply 3 times 3

Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?
49 + 28 = 4 (7 + 7)
49 + 28 = (7) (7) + (14) (2)
49 + 28 = (7) (14) + (7) (7)
49 + 28 = 7 (7 + 4)

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

help!! Simplify 7(A - 6).

Answers

Answer:

So we know that the sum of the angle measures of the quadrilateral is 360° and that the four angle measures are a, 2a, a, and 2a. This means that the sum of a, 2a, a, and 2a should equal 360.

a + 2a + a + 2a = 360

Combine like terms.

6a = 360

Divide both sides by 6.

a = 60

So the value of a would be 60.

Now to find the angle measures from least to greatest, we would have to find the values of a, 2a, a, and 2a.

a = 60

2a = 120

a = 60

2a = 120

So the angle measures from least to greatest is 60°, 60°, 120°, and 120°.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

a=60 degrees

Step-by-step explanation:

Total angle measurements=360 so

2a+2a+a+a=360

2(60)+2(60)=240

240+60+60=360

----------------------------

So a=60

What should be added to 8 to make the sum 0? (1 point)

−9
−8
0
8

Answers

Answer:

-8

Step-by-step explanation:

Answer:

$185.25

Step-by-step explanation:

just multiply 12.35 x 15

hope this helps!! <3

I need help asap will mark you brain list. Show your work

Answers

Answer:

1/251/9

Step-by-step explanation:

Solving exponents

a. 5^-2 = 1/5^2 = 1/25b. (3^2)^3/3^8 = 3^6/3^8 = 1/3^2 = 1/9

Error Analysis Deena says that 3.56556555... is a rational number. Elijah disagrees and says the
number is irrational. Decide who is correct and what might likely cause one of them to make the error.
Who is correct? What might likely cause one of them to make the error?
OA. Elijah is correct. Deena may see 3.56556555... as showing a repeating pattern.
O B. Deena is correct. Elijah may see 3.56556555 ... as not showing a repeating pattern.
OC. Both Deena and Elijah are correct. Numbers like this one are both rational and irrational.
OD. Neither is correct. The number cannot be classified as rational or irrational.

Answers

The correct option regarding whether the number is irrational is given by:

A. Elijah is correct. Deena may see 3.56556555... as showing a repeating pattern.

What are irrational numbers?

Irrational numbers are numbers that cannot be represented by fractions, such as non-exact roots and non-terminating and non-repeating decimals.

For this problem, the number is:

3.56556555...

Which is an irrational number, as it is neither terminating nor repeating, hence the correct option is given by:

A. Elijah is correct. Deena may see 3.56556555... as showing a repeating pattern.

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. Eight years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. a. What is the multiplier? b. Write a function using f(t) to describe the situation. c. How much is the stock worth now?

Answers

Answer:

a. 0.85

b. [tex]f(t) =1000(0.85)^t[/tex]

c. $272.49

Step-by-step explanation:

Given that:

Initial investment made, 8 years ago = $1000

Depreciation value each year = 15%

To find:

a. Multiplier

b. Function [tex]f(t)[/tex] to describe the situation.

c. Worth of stock now.

Solution:

a. Depreciation of 15% means the value becomes (100 - 15) % = 85% or 0.85 of the actual value.

Therefore, the multiplier is 0.85.

Every year the value becomes 0.85 times of the actual value.

If it continues for [tex]t[/tex] years, then the values will be:

[tex]f(t) =1000(0.85)^t[/tex]

c. Let us put [tex]t=8 \ years[/tex] to find the worth of stock now.

[tex]\Rightarrow f(8) =1000(0.85)^8\\\Rightarrow \bold{\$272.49}[/tex]

So, the answers are:

a. 0.85

b. [tex]f(t) =1000(0.85)^t[/tex]

c. $272.49

Simplify the expression 21z - 6z + 13

Answers

Answer:

15z+13

Step-by-step explanation:

hey! all we have to do is combine like terms.

21z-6z+13

15z+13

there's your answer.

Answer:

15z+13

Step-by-step explanation:

21z-6z+13

Combine like terms (21z+6z) [Because both of these numbers have a Z next to them]

15z+13

HEY CAN ANYONE ANSWER DIS PLS!!

Answers

C I think I’m not sure sorry babe

Don’t really know what you mean by open, but

X= -2

If you can get the answer from that, great. If not then oof

1) Solve the problem using the correct steps in PEMDAS.
-5( – 3 – 5) + ( - 40) = —
• -5
• -80
• 8
• 0

Answers

I believe the correct answer is zero

Hopefully this helps

What is the domain for f(x) = 1/2(x + 1) + 3?

What is the domain for f(x) = 2?

What is the domain for f(x) = -2(x - 2) + 1?

Answers

Answer:

the domain of f(x) = 1/2(x + 1) + 3 on this graph is [-6,-1] because there are solid dots on -6 and -1

the domain of f(x)=2 on this graph is (-1,2] because there is an open circle on -1 and a solid circle on 2

the domain of f(x) = -2(x - 2) + 1 is (2,6] because there is an open dot on 2 and a solid circle on 6

The domain of the given all three functions are explained below.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

We must identify each value of the independent variable (often represented by x) for which the function is specified in order to establish the domain of the function.

A function's domain may be constrained by certain guidelines or limitations, such as:

The domain must be free of any x values that would result in the denominator being 0 since the function could contain a fraction with a denominator that cannot be zero.The domain must be free of any values of x that would turn the expression beneath the radical into a negative expression since the function could contain a square root of a negative number.

From the graph, the domain of the given function is f(x) = 1/2(x + 1) + 3 is [-6, -3].

From the graph, the domain of the given function is f(x) = 2 is (-3, 2].

From the graph, the domain of the given function is f(x) = -2(x - 2) + 1 is (2, 6].

Learn more about function here:

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Tanya typed 160 words in 5 minutes on her essay for Spanish class

Answers

... not enough information to answer

Answer:

she typed 32 words in 1 minute

Step-by-step explanation:

Peter's Lawn Mowing Service charges $10 per job and $0.20 per square yard.
Peter earns $25 for a job.

Answers

75 square yards

25-10=15 to get rid of the initial charge, then divide by 0.20 to find out how many square yards. I almost didn't see the question because you didn't really put it in here right

Answer:

10+0.20y=10.2

Step-by-step explanation:

Write a positive or negative integer that represents the situation.

An airplane climbs to 37,500 feet.

Answers

Positive 37,000 feet.

Step-by-step explanation:

i am a three digit number. i am divisible by 5. i am an even number each of my digits are different my tens is greater than my ones digit. my hundreds digit is greater than my tens digit. i am less than 400. i am divisible by 3. i have only one odd digit. my tens digit is 1. what number am i?

Answers

Answer:

210

I am divisible by 5.

So your ones digit is 0 or 5

I am an even number.

So your ones digit is 0. We fill that in.

_ _ 0

My tens digit is 1.

So we fill that in.

_ 1 0

My tens digit is greater than my ones digit.

Well, of course 1 is greater than 0. We didn't need to be told that.

I have only one odd digit.

Since the 1 is odd, the hundreds digit is even, 2,4, or 8

I am less than 400.

So your hundreds digit is 2. Fill that in and we're done.

2 1 0

My hundreds digit is greater than my tens digit.

Of course 2 is greater than 1, we didn't need to be told that.

I am divisible by 3.

Of course 210 is divisible by 3. We didn't need to be told that.

Too much information!

Answer: 210

Solve for x:
4-7x = x-12
X = 2
O b
X = 3
X = 4
0
Od
X = 5

Answers

Answer:

x = 2

Step-by-step explanation:

If I helped hope I can get brainliest

Answer: 4-7x = x-12

X = 2

O b

X = 3

X = 4

X = 5

Im not sure is a problem missing

Step-by-step explanation:

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