Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
Answer:
Values for alpha and beta are 0.5 and 3.
Step-by-step explanation:
2x² - 7x - 3 = 0
2x² - 7x - 3 = (2x - 1 )(x - 3)
∴ (2x - 1 )(x - 3) = 0
The only way to get zero by multiplying two values together, is if one of those values is qual to zero. Therefore, either (2x - 1 )=0, or (x - 3)=0.
If (2x - 1 )=0
∴2x=1
∴x=0.5
If (x - 3)=0
∴x=3
We have two values for x. These values represent alpha and beta.
<em>(BTW - I'm not sure from the phrasing of your question whether or not you just want to find the values or whether you want to find the sum of the values (I don't know if you used '+' to mean 'and' or 'plus'), but if you do want to find the sum, it's of course just 0.5+3= 3.5.)</em>
I think it’s 11. Sorry if it’s wrong
Answer:
W = (P-2L)/2
Step-by-step explanation:
Isolate W
P = 2L + 2W
subtract 2L from each side
P - 2L = 2W
divide each side by 2
(P-2L)/2 = W
Answer:
2, 4
Step-by-step explanation:
Let there are two unknown consecutive pairs of even integers 2n and 2n+2.
If the sum of the reciprocals of those two integers is 3/4, then we can write,
1/2n +1/(2n+2) =3/4 ...... (1)
Solving this above equation we can check whether the integers exist or not.
Now, from equation (1) we get,
1/n +1/(n+1) =3/2
⇒
⇒4n +2 =3n²+3n
⇒3n²-n-2 =0
⇒ (n-1)(3n+2) =0
⇒ (n-1) =0 {Since if (3n+2) =0 then, n will be a negative fraction, which is not possible}
⇒ n=1
∴ 2n =2 and 2n+2 =4
Hence, the two integers are 2, 4. (Answer)
