A dilation of factor k multiplies all lengths by k.
So, in your case, all lengths double. The new length is 4.
They own a total of 120 CDs.
GIVEN:
Ella: ratio of rock music to total CDs that she owns 25/40
Paolo: has 50 rock music CDs. The ratio of rock music to total CD is equal to Ella's ratio.
Proportion: a/b = c/d where ad = bc
25/40 = 50/x
25x = 40 * 50
25x = 2000
25x / 25 = 2000 / 25
x = 80 total of Paolo's CDs
Total of Ella's CDs = 40
Total of Paolo's CDs =<u> 80</u>
Total CDs in all 120
I feel like I just solved this one. its -1 isn't it?
Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution
