Answer:
8 to 18
Step-by-step explanation:
8 to 18
Hm i think it might be 2:8?
Answer: Bob has 62 cards.
All has 124 cards.
Jane has 186 cards
Step-by-step explanation:
Let x represent the number of cards that Bob has.
Al has twice as many cards as Bob. It means that the number of cards that All has is 2x.
Jane has three times as many cards as Bob. It means that the number of cards that Jane has is 3x.
Together, they have 372 cards. It means that
x + 2x + 3x = 372
6x = 372
x = 372/6
x = 62
The number of cards that Al has is
2 × 62 = 124
The number of cards that Jane has is
3 × 62 = 186
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
