23 is one of the answers, and -23, because negative times negative is positive.
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Answer:
Yes! See explanation below!
Step-by-step explanation:
If a positive and negative number is equivalent, then they are called additive opposites meaning they add up to 0, basically cancelling out.
Ex:

Answer:
4 cookies
Step-by-step explanation:
Let the number of cookies he sold be c and that of brownies be b.
Assuming that brownies and cookies are the only type of baked goods sold,
b +c= 10 -----(1)
Amount of money received= $20
b(cost of brownie) +c(cost of cookie)= $20
2.50b +1.25c= 20 -----(2)
From (1): b= 10 -c -----(3)
Substitute (3) into (2):
2.50(10 -c) +1.25c= 20
Expand:
2.50(10) +2.50(-c) +1.25c= 20
25 -2.50c +1.25c= 20
-1.25c +25= 20
Being constants to 1 side:
-1.25c= 20 -25
-1.25c= -5
c= -5 ÷(-1.25)
c= 4
Thus, Joe sold 4 cookies.
Answer:
b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Step-by-step explanation:
Simplify the following:
-2 a (a + b - 5) + 3 (2 b - 5 a) + b (6 a + b - 8)
-2 a (-5 + a + b) = 10 a - 2 a^2 - 2 a b:
10 a - 2 a^2 - 2 a b + 3 (2 b - 5 a) + b (6 a + b - 8)
3 (2 b - 5 a) = 6 b - 15 a:
10 a - 2 a^2 - 2 a b + 6 b - 15 a + b (6 a + b - 8)
b (-8 + 6 a + b) = -8 b + 6 a b + b^2:
10 a - 2 a^2 - 2 a b - 15 a + 6 b + -8 b + 6 a b + b^2
Grouping like terms, 10 a - 2 a^2 - 2 a b - 15 a + 6 b - 8 b + 6 a b + b^2 = b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a):
b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
a b 6 + a b (-2) = 4 a b:
b^2 + 4 a b + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
6 b - 8 b = -2 b:
b^2 + 4 a b + -2 b - 2 a^2 + (10 a - 15 a)
10 a - 15 a = -5 a:
Answer: b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Answer:
Step-by-step explanation:
The third one :
- a is twice the mass of b so a=2b
- b and 2a combined equal 45