Answer:

Step-by-step explanation:
1. Find the Greatest Common Factor of the numerator and denominator.
The prime factors of 35 are <u>5</u>, 7, 35
The prime factors of 60 are 2, 3, 4, <u>5</u>, 6, 10, 12, 15, 20, 30, 60
The only common factor of 35 and 60 is 5.
2. Divide the numerator and denominator by the Greatest Common Factor.

Answer:
17.25
Step-by-step explanation:
Answer:
1) m=-7/5
2) m=-7/5
3) parallel
Step-by-step explanation:
the first part:
graph the points and then find the slope
m=-7/5
the second part:
slope= m in y=mx+b
m=-7/5
the last part:
they are parallel because they have the same slope
Answer:
21/676
Step-by-step explanation:
The total number of letters of the alphabet will be the total outcome which is 26 alphabets.
If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets
Total consonants in the alphabet is 21.
Probability of drawing consonants = 21/26.
Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.
Probability of drawing a letter Z will be 1/26.
Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;
21/26×1/26
= 21/676
D.
(-4v*3v) + (-4v*-5) + (3v*7) + (7*-5)
-12v^2 + 20v + 21v -35
-12v^2 + 41v -35