Answer: Hi!
To solve this, find the GCM (greatest common multiple) of 15 and 24.
We can do this by finding the prime factorization.
15/3 = 5
3·5
24/2 = 12
12/2 = 6
6/2 = 3
2·2·2·3 Both prime factorizations have the number 3 in common. So the GCM is 3.
Divide both numbers by 3.
15n/3 = 5n
-24/3 = -8
Since the GCM is 3, 3 goes outside the parentheses.
The numbers that go inside the parentheses are 5n-8
The answer is 3(5n-8)
You can check your answer by using the distribution property.
3·5n = 15n
3·(-8) = -24
15n-24
Hope this helps!
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Given that:
y = 15x
y = amount of money made by club members made for washing cars
x = number of cars washed
From the equation given ;
Amount made is directly proportional the number of cars washed
Mathematically,
y α x
y = kx
Where k = constant of proportionality
Comparing the given equation with
y = kx
y = 15x
k = 15 = constant of proportionality
You can clearly eliminate 0.79d as an answer, because that is less than the amount that Ron's class donated. The last answer is also incorrect, because it states that Danny's class donated 21 more cents than Ron's class. The problem says that Danny's class donated 21% more than Ron's. The only way that d + 0.21 would be correct is if Ron's class donated $1. The problem does not say that. Therefore, we are left with two possibilities. The first choice is the correct one. Why?
21% more than Ron's class' donation would be the amount that Ron's class donated + an additional 21%. If Ron's class donated d dollars, then an additional 21% would be 0.21 * d = 0.21d. Hence, Danny's class donated a total of:
d + 0.21d = d(1 + 0.21) = 1.21d
Answer:
y - 1 = -3(x - 6)
Step-by-step explanation:
Use the point-slope equation:
y - b = m(x - a)
where the line passes through the point (a, b) and has slope m:
y - 1 = -3(x - 6)
