MATHEMATICS HIGH SCHOOL

Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.

Answers

Answer 1

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

Related Questions

The mean radius of earth is 6,371.0 kilometers and the mean radius of earths moon is 1,737.5 kilometers. What is the approximate difference in the mean conferences, in kilometers, of earth and earths moon? Round your answer to the nearest tenth of a kilometer.
What is the closed linear form of the sequence of the negative even integers starting with -2?A) an = 2n B) an = -2n C) an = -2 - n D) an = -2 + 2n
A yogurt shop offers 3 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?A. 144 B. 36 C. 9 D. 1,320
in a given training week a swimmer completes 1/4 mile on day one 2/5 mile on day two and 3/7 mile on day three,, how many total miles does the athlete swim in the given week
If the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal toonly proper people will be given this mark...or else will fire u from brainly...

Solve for x to four significant digits

7^x=13

Answers

1.318

Explanation:
Really what you're looking for is a value of x that, when 7 is raised to that power, will give you 13.
putting the equation in terms of f and g (any variables will do) :
7^x = f(x)
13= g(x)

using the rule if f(x)=g(x) then ln f(x) = ln g(x)
If any function f of x equals g of x then the natural log of f of x equals the natural log of g of x.

Therefore:
ln (7^x) = ln (13)

With logs, if there is something raised a power, the exponent can simply be moved to the front, so:
ln (7^x) = x * ln 7
note: *=multiplication

therefore your new equation is
x*ln 7 = ln 13
if you divide both sides by ln 7, you get that
$x = (ln 13)/(ln 7)$
x = 1.318123223
but you only need four sig figs (significant figures) so your answer is
x = 1.318

*Note = the answer is 1.318 only because those are the first four digits of the answer. I suggest looking up rules for sig figs if you do not know what they already are

HOPE THAT HELPS
_V :)

The square of a number plus the number is 42 . Find the number (s).

Answers

Answer: s = 6 or s = -7

Step-by-step explanation:

Our task is to find the number. But first, let's write the equation:

The square of a number s plus the number is 42.

The square of s = $\sf{s^2}$

Plus s = $\sf{s^2+s}$

this equals 42: $\sf{s^2+s=42}$

Now, let's solve for s. Subtract 42 from both sides, and set the right-hand side equal to 0.

$\sf{s^2+s-42=0}$

Now, let's factor it.

Think of two numbers that:

multiply to -42
add up to 1

These numbers are 6 and -7.

So, the factored expression is :

(s + 6)(s - 7) = 0

Either s + 6 is 0 or s - 7 = 0.

We have two little equations that we can solve for s:

s + 6 = 0 s - 7 = 0

s = 0 - 6 s = 0 + 7

s = -6 s = 7

Final answer:

To find the number(s) that satisfy the equation x^2 + x = 42, you can factorize the quadratic equation (x + 7)(x - 6) = 0 and solve for x. The solutions are x = -7 and x = 6.

Explanation:

To find the number(s) that satisfies the equation, let's represent the number as 'x'. According to the question, the square of the number plus the number is equal to 42. This can be written as x^2 + x = 42. Rearranging the equation, we get x^2 + x - 42 = 0. To solve this quadratic equation, we can factorize it or use the quadratic formula.

Factoring the quadratic equation, we find (x + 7)(x - 6) = 0. Setting each factor equal to zero, we get x + 7 = 0 and x - 6 = 0. Solving these equations, we find x = -7 and x = 6.

Therefore, the number(s) that satisfy the equation are x = -7 and x = 6.

Learn more about Finding solutions to a quadratic equation here:

brainly.com/question/34125066

#SPJ2

... the product of 86 and the depth of the river ... into variable expression

Answers

A variable expression is an expression that contains variables or letters in their simplest form. If we assign real values to the variables, then we can evaluate the variable expression for that real value.

Since we do not know the depth of the river, we assign a variable to it.

We let the variable $d$ , represent the depth of the river.

Then, the product of $86$ and the depth of the river $=86* d=86d$

product means multiplication either
86n
or

86*n which are the same thing

Jack walks 30 miles at 30 degrees north of east, then walks 30 miles at 45 degrees north of east. how many miles east of his starting point will he end up?

Answers

We are given with the distance traveled and the direction
30 miles at 30 degrees north of east
30 miles at 45 degrees north of east
You calculate the horizontal and vertical component using these equations
x = d cos θ
y = d cos θ

where d is the distance traveled

Then, you get the distance from the starting point using the formula
D = √[(∑x)² + (∑y)²]

The answer is
59.47 miles

Hello there.

Jack walks 30 miles at 30 degrees north of east, then walks 30 miles at 45 degrees north of east. how many miles east of his starting point will he end up?
59.47 miles

What is 0.121212 expressed as the quotient of two integers in simplest form?