(x-8)(x+5)
First thing you do is put the X's into the parentheticals because it is x^2 meaning there are 2 factors with x's. Then, you wonder what factors of -40 could add to get -3. In this case, they are -8 and 5. -8 times 5 is -40 and -8 +5 is -3. Then, you just add -8 and 5 beside the x's in the parentheticals.
The greatest common factor is 2
We first have to look for the largest number that goes into both equations. The factors of 12 are 1, 2, 3, 4, 6 and 12. None of 3, 4, 6, or 12 go into 26 evenly. So 2 is the largest number you can take out.
With the variables, we take out as many as the lowest number will let us. Since the smallest number of n's is 2 in the second term, we take that many.
15/20 are French so 5/20 are English
Simplified that’s 1/4
Only applies if all the books are either English or French
I think
Answer:100-7x
Step-by-step explanation:
If x people are coming, he will spend the following
Sandwiches =2.50 × x= 2.50x
Drinks = 1.50 × x= 1.50x
Gift bags =3 × x=3x
Money left
Sandwiches = 50-2.50x
Drinks =25-1.60x
Gift bags = 25-3x
Total money left = 50-2.50x+25-1.50x+25-3x
=50+25+25-2.50x-1.50x-3x
=100-7x
Answer:
1 /4
Step-by-step explanation:
Given that :
Let :
P(S) = probability of drawing a spade
Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :
P(drawing a spade)/P(not drawing a spade) = 1:3
P(S) / P(S') = 1/ 3
P(S') = 1 - P(S)
P(S) / (1 - P(S)) = 1 / 3
Cross multiply :
3P(S) = 1 - P(S)
Collect like terms
3P(S) + P(S) = 1
4P(S) = 1
P(S) = 1/4
Hence, probability ratio of drawing a spade P(S) = 1/4
