Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
Step-by-step explanation:
b) 
c) 
Answer:
60.666667
Step-by-step explanation:
Answer: (2^3 ⋅3u^2 w^3)
2•3uw^(-3)) • 4) • u) • w^6
2^1 multiplied by 2^2 = 2^(1 + 2) = 2^3
(2^3•3uw^(-3)) • u) • w^6
w^(-3) multiplied by w^6 = w^((-3) + 6) = w^3
Answer: 1.37
Step-by-step explanation:
so to find out how far molly walked you have to find out how far her sister and brother walked combined 1.23+0.85=2.08 then subtract 3.45-2.08 to get 1.37
molly waled 1.37 more miles then her brother and sister combined
