<u><em>ANSWER</em></u>
I believe that the amount of the instant rebate is $30. X represents the price of the bike, and 0.09 is the sales tax.
So if the bike cost $100:
0.09(100) + (100-30) = 9 + 70 = $79
Although I think I would want them to tax the bike after the instant rebate and not on the original price.
If I'm wrong about the instant rebate then it would be 1.09x-30. Hope this helps.
a.
a^2 + b^2 = c^2
The legs are a and b. c is the hypotenuse.
Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y
The equation is:
(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2
b.
Now we square each binomial and combine like terms on each side.
36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2
36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2
100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2
The two sides are equal, so it is an identity.
Answer:
V = 339.12
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
r = 6
h = 9
Work:
V = πr²(h/3)
V = 3.14(6²)(9/3)
V = 3.14(36)(3)
V = 113.04(3)
V = 339.12
Answer:
200
Step-by-step explanation:
25% of x = 50
25/100 × x = 50
x = 50 × 100/25
x = 50 × 4
= 200.
25% of <u>2</u><u>0</u><u>0</u><u> </u> = 50