Answer:
The least common multiple of 30, 25, 4 is 150.
Step-by-step explanation:
The given numbers are 30, 25 and 4.
The factors of given numbers are
The L.C.M of given numbers is a smallest number that divides the given numbers completely.
Therefore the least common multiple of 30, 25, 4 is 150.
<span>A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
***
let x=original speed
x+5=increased speed
travel time=distance/speed
..
lcd:x(x+5)
150(x+5)-150x=x(x+5)
150x+750-150x=x^2+5x
x^2+5x-750=0
(x-25)(x+30)=0
x=25
What is the train’s original speed? 25 mph</span>
Answer:
The polygon with the smallest perimeter is the megagon
The polygon with the largest perimeter is the triangle
Step-by-step explanation:
An equilateral triangle with area = 20 has
0.5× a²×sin60 = 20
a= 6.796
Hence, perimeter = 20.39
A square of area 20 has perimeter= 4×√20 = 17.9
A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05
Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases
Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.
Answer: d. The domain would only include positive numbers.
Step-by-step explanation:
Given: A function is created to represent the miles per gallon your car gets.
Here, the independent variable = the amount of fuel the car gets in gallons.
and the dependent variable = the total miles of car travel .
We know that the domain of a function is a set of all values of independent variable.
Thus, the domain would only include positive numbers because the quantity of fuel in a car is never negative and it can be in fraction .
Hence, D is the right answer.
Answer:(3-6).4:32
(-3).4:32=-12:32=3/8
Step-by-step explanation:
