Answer:
6 tickets were purchased at $47
8 tickets were purchased at $57
Step-by-step explanation:
Let the tickets purchased at $47 be x
Let the tickets purchased at $57 be y
We can form an equation from the question given which will be:
x + y = 14 ....... i
47x + 57y = 738 ........ ii
From equation i
x = 14 - y ........ iii
Substitute iii into ii
47x + 57y = 738
47(14-y) + 57y = 738
658 - 47y + 57y = 738
Collect like terms
-47y + 57y = 738 - 658
10y = 80
y = 80/10
y = 8
8 tickets were purchased at $57
Note that from i
x + y = 14
x + 8 = 14
x = 14 - 8
x = 6
6 tickets were purchased at $47
Slope = 2/5 ; Passes through (-4, -7) ; Point-slope form
point-slope form : y-y₁=m(x-x₁)
Simply plug everything in :)
Remember !! m=slope
y - (-7) = 2/3(x - (-4))
Simplify.
y + 7 = 2/3(x + 4)
*Some teachers want this simplified more so here's the simplest answer :
y + 7 = 2/3x + 8/3 *
~Hope I helped!~
18-4x=7x+7
11-4x=7x
11=11x
x=1
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = 
← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = 
( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = 
← equation of variation
When p = 2 and q = 3, then
r = 
= 
= 8
