Answer:
.
Step-by-step explanation:
Using first order linear differential equation:
finding integrating factor:
I.F = 
I.F =
now,
hence the solution is
Answer:
Sarah spent 45.76
Jack spent 38.16
Jack spent more on tax
Step-by-step explanation:
Sarahs game costs:
tax = 44 *.04 = 1.76
Total cost = game + tax
= 44 + 1.76
=45.76
Jacks game costs:
tax = 36 *.06 = 2.16
Total cost = game + tax
= 36 + 2.16
=38.16
Jack spent more on tax
Since both equations equal Y, set them equal to each other and solve.
3x -1 = -2x +9
Add 2x to each side:
5x - 1 = 9
Add 1 to each side:
5x = 10
Divide both sides by 5:
x = 10/5
x = 2
Now replace x with 2 and solve for y:
y = 3(2) -1 = 6-1 = 5
x = 2, y = 5 (2,5)
Distribute the numbers, solve for y. y= 4
Part (A)
(1 cm)/(20 cm) = (6 cm)/(x cm)
1/20 = 6/x
1*x = 20*6
x = 120
120 cm = 120/100 = 1.2 m
<h3>Answer: 1.2 m</h3>
=========================================================
Part (B)
2.2 m = 2.2*100 = 220 cm
(1 cm)/(20 cm) = (x cm)/(220 cm)
1/20 = x/220
1*220 = 20*x
20x = 220
x = 220/20
x = 11
<h3>
Answer: 11 cm</h3>
