Answer:
Diana approximately had 128 cards
Step-by-step explanation:
Let n be the number of cards Diana had. She knows that
- there are 17 kings among n cards
- 4 kings among 30 cards
Write a proportion:

Cross multiply:

Answer:
NO
Step-by-step explanation:
Given the system of equation
-x+4y = -9,... 1
y = -2x+6.... 2
To find the solution to the equation
Substitute equation 2 into 1
-x+4(-2x+6) = -9
-x-8x+24 = -9
-9x= -9-24
-9x = -33
x = 33/9
Find y
y = -2x+6
y = -2(33/9)+6
y = -66/9 + 6
y = -66+54/9
y = -12/9
y = -4/3
Hence (2,3) is not the solution to the system of equation
It takes only 2 years
because
31,006,000 x 1.2% = 6,201,200
so,
31, 006, 000 + 6,201,200 = 37, 207, 200
37, 207, 200 + 6,201,200 = 43, 408, 400
400 = 45x + 30x
400 = 75x
5.333 = x
Lets test
45mph for 5.333 hours = 240 miles
30mph for 5.333 hours = 160 miles
240 + 160 = 400 miles apart.