Answer:
120960
Step-by-step explanation:
We get 11 books 7 of geography and 4 of chemistry
We need to line all of them with 2 constraints
1.-three of the geography must be: 1 in the middle and in each end, then we already have
C₄,₃ = 4! / ( 4 - 3 ) ! C₄,₃ = 4*3*2*1
C₄,₃ = 24 different ways
Now we have 7 books of chemistry. To place them we get
P₇ = 7! P₇ = 7*6*5*4*3*2*1 P₇ = 5040
Now the total number will be
C₄,₃* P₇ = 120960
= -1/8x^5 + 8x^4 + x^2 + 3x - 7
When we say "closed under addition" in the context of rational numbers, we mean to say that when we add up rational numbers then, the sum is also a rational number.
From the given choices above, the one that should the characteristic of being "closed under addition" is only fourth equation. Both 1/2 and 0.5 are rational numbers. On the other hand, 1 is also a rational number.
Answer:
2 pairs
Step-by-step explanation:
If we convert 3 3/5 into an informal fraction, it would be 18/5 (3*5+3 for the numerator) and 1 4/5 would be 9/5 (1*5+4 for the numerator). 18/5 divided by 9/5 is the same as 18/5 * 5/9 (the reciprocal of 9/5) which equals 2. Therefore she can make 2 pairs of pants.
Answer:
x = (a - 2w)/2
Step-by-step explanation:
a = 2x + 2w
a - 2w = 2x
(a - 2w)/2 = x
