Answer: instant
Step-by-step explanation:
yeah
N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
Answer:
Step-by-step explanation:
Ok so to find constant of proportionality, you need to find K.
X would be gallons and y is cost.
To find k you need to do k=y/x
k=17.50/5
k=3.5
That's the first one. Now you need to make sure its <em>constant</em> with each one so keep going.
k=35/10
k=3.5
k=52.50/15
k=3.5
For all of those 3.5 was constant.
Because they are constant, that means the data in the graph is a proportion.
An example of an unproportional relationship would be if instead of 15 in the last column, it was 16.
k=52.50/16
k=3.28
That be different from the other 3.5's meaning its not proportional. But that's just an example.
If you need extra help reach out to me and I'll help you best I can. I hope this helps though. <3
Answer:
8.2
Step-by-step explanation:
let me know if its wrong
The given expression is a difference of squares, so we have
16 (<em>a</em> + <em>b</em>)² - 49 (<em>a</em> - <em>b</em>)² = 4² (<em>a</em> + <em>b</em>)² - 7² (<em>a</em> - <em>b</em>)²
… = (4 (<em>a</em> + <em>b</em>))² - (7 (<em>a</em> - <em>b</em>))²
… = (4 (<em>a</em> + <em>b</em>) - 7 (<em>a</em> - <em>b</em>)) (4 (<em>a</em> + <em>b</em>) + 7 (<em>a</em> - <em>b</em>))
… = (4<em>a</em> + 4<em>b</em> - 7<em>a</em> + 7<em>b</em>) (4<em>a</em> + 4<em>b</em> + 7<em>a</em> - 7<em>b</em>)
… = (-3<em>a</em> + 11<em>b</em>) (11<em>a</em> - 3<em>b</em>)
