Answer:
456 miles
Step-by-step explanation:
We can use proportions to solve
342 miles x miles
------------ = --------------
6 hours 8 hours
Using cross products
342 * 8 = 6x
2736 = 6x
Divide by 6
2736/6 = x
456 miles
Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
Jim bought x iphones for seven coupons each and sold y android phones for 4 coupons each. He got 20 coupons.
Julia bought the same number iphones for 3 coupons each and bought the same number Android phones for 4 coupons each. She got 20 coupons too. Please find quantity of iphones they will get and quantity of Android phones sold by Jim and got by Julia
{7x-4y=20
+
{3x+4y=20
10x=40
x=4
28-4y=20
4y=8
y=2
Answer
x=4; y=2
Jim and Julia bought 8 iphones and Jim sold 2 Android phones. Julia bought 2 Android phones.