So, Jerome bought a total of 80 cards (8x10) out of which he gave out 30 cards (3x10) so he has 50 cards left. (80-30)
Answer:
none
Step-by-step explanation:
to solve this equation we would say that
let
x + y = 5 .............................. equation 1
x + y = 6 .................................... equation 2
from equation 2
x + y = 6 .................................... equation 2
x = 6 -y...................................... equation 3
substitute for x into equation 1
x + y = 5 .............................. equation 1
6 - y + y = 5
from here this equation cannot be solved further therefore it has no solution.
If a line's slope is

, the slope of the perpendicular line is

in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient
Answer:
$92.25
Step-by-step explanation:
If Diego spent $20.50 and Sandy spent 4.5x as much as Diego, that means that Sandy spent 20.5x4.5, which equals 92.25. Sandy spent $92.25
Move all terms to one sides
3x^2 - 14x - 5 = 0
Split the second term in 3x^2 - 14x - 5 into two terms
3x^2 + x - 15x - 5 = 0
Factor out the common terms in the first two terms, then in the last two terms;
x(3x + 1) - 5(3x + 1) = 0
Factor out the common term 3x + 1
(3x + 1)(x - 5) = 0
Solve for x;
<u>x = -1/3, 5</u>