1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000
Answer:
Yes by SAS
Step-by-step explanation:
if you do 42 / 18 you see that the relationship between the sides is 2.3333... so that is one proportional side
Then, you see that there is one angle in both triangles that is 76 degrees, so that is one equal angle
then, you can do 21 / 9 = 2.33333... which is the same as the first proportion which means that is another proportional side.
then you have a side, angle, and a side, so it's SAS
Using linear function concepts, it is found that the change in the breaking weight of the pennies was of -6 units of weight.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the function is:
y = -6x + 136.
The slope is of m = -6, hence the change in the breaking weight of the pennies was of -6 units of weight.
More can be learned about linear function concepts at brainly.com/question/24808124
#SPJ1
Answer:551.25
Step-by-step explanation:
500 x .05 =25+500= 525 which is the second concert. Multiply that by .05 which is 26.25, add that to 525 to get 551.25 which is not 650.
Count each as one and you should get your answer