Answer:
$870.00 is the motorcycle price after a 40% discount
Step-by-step explanation:
discount = original price x discount % / 100
discount = 1450 x 40 / 100
discount = 1450 x 0.4
<u>discount = $580.00</u>
Final Price = Original Price - Discount
Final Price = 1450 - 580
<u>Final Price = $870</u>
Answer:
y=-3x-1
Step-by-step explanation:
Parallel means it has the same slope but different y intercepts. I kept the slope the same but changed the y intercept so it matched the one in the point, which is -1.
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We ahve the slope m = 1/2 and the point (-2, 1). Substitute:
- point-slope form
Covert to the slope-intercept form (y = mx + b):
<em>use the distributive property</em>
<em>add 1 to both sides</em>
- slope-intercept form
Convert to the standard form (Ax + By = C):
<em>multiply both sides by 2</em>
<em>subtract x from both sides</em>
<em>change the signs</em>
- standard form
Convert to the general form (Ax+By+C=0):
<em>add 4 to both sides</em>
- general form
Answer:
55 white
Step-by-step explanation:
So ratio 5:4 is essentially saying, for each 5 white marbles, there are 4 red ones. This can be represented in the equation: 5x+4x=99. We specifically want an integer solution. Because what is 1.2 of a marble? And what is -1 marbles? So as x increases by 1, the entire thing increases by 9. This gives you the equation: 9x=99 which gives you x=11. So there are 55 white and 44 red.
Answer:
To simplify:
(3x+4y) - (x-y) = 2x + 5y
To factorize:
(5p + 6)(5p -6)
Step-by-step explanation:
