Solution
For this case we can do the following:
A) 15, 21
LCM= 105
15= 3*5
21 = 7*3
LCM= 3*5*7
b) 15,30
LCM= 30
15= 3*5
30 = 2*5
LCM= 2*3*5= 30
c) 24,72
LCM= 72
24= 2*3*4
72= 2* 2*2*3*3
LCM= 2*2*2*3*3
d) 16,42
LCM= 336
16= 2*2*4
42= 2*3*7
LCM= 2*2*3*7*4
e) 8,30
LCM=120
8= 2*4
30= 2*3*5
LCM= 2*3*4*5=120
f) 18,30
LCM=90
18= 2*3*3
90= 2*5*3*3
LCM= 2*5*3*3
g) 8,16,20
LCM= 80
8= 2*2*2
16= 2*2*2*2
20= 2*2*5
LCM= 2*2*2*2*5
Answer:
Option a and b are correct
Step-by-step explanation:
According to the triangle inequalities rule, sum of two sides of triangle must be greater than the third side.
The two sides given are 15 cm and 19 cm
Their sum is: 15+19 = 34
So, the third side should be less than 34
i.e if third side is x then 0<x<34
So, from given options value of x can be 6 cm or 4 cm
Option a and b are correct.
The Answer is 3
All you need to do is multiply 7 and 1 then divide.
I presume this is meant to be exponential.
When f(x) = a(b)^x, a represents the starting value, b represents change, and x represents time.
The population began in 2000 (x = 0). This makes the equation equal to 78,500, which is your starting value and population in 2000.
1.02 means that the initial value is multiplied by 1.02 or 102% each year. Therefore, there is a 2% increase.
Answer:
Step-by-step explanation:
Given
(3x - 3) / 5 = (2x - 2) / 4
Begin by cross multiplying
Solution
- 4(3x - 3) = 5(2x - 2) Use the distributive property to remove brackets
- 12x - 12 = 10x - 10 Add 12 to both sides.
- 12x = 10x - 10 + 12 Combine the right
- 12x = 10x + 2 Subtract 10x from both sides
- 12x-10x = 2 Combine the left
- 2x = 2 Divide by 2
- x = 2/2
- x = 1
Note: the original equation gives you 0/5 = 0/4 which is 0 = 0.