Answer:
Step-by-step explanation:
Given: 
Factorizing the numerator and the denominator, we have:
18
- 45q + 25 = 18 - 30q - 15q + 25
= (3q - 5)(6q - 5)
and
9 - 25 = (3q - 5)(3q + 5)
So that,
= 
=
Therefore,
=
Answer:
10/9
Step-by-step explanation:
Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
-(n/3)+8>6
-n+24>18
-n>-6
n<6
Step-by-step explanation:
Probability of event A on the condition of event B is:
P(A|B) = P(A and B) / P(B)
P(scored an A | girl) = P(scored an A and girl) / P(girl)
P(scored an A | girl) = 0.35 / 0.45
P(scored an A | girl) = 0.778
The probability that a randomly selected girl also scored an A is 77.8%.
