I believe the answer would be b^4.
Explanation:
Use Quotient Rule: x^a/x^b=x^a-b
b^10-6
Then Simplify 10-6 to 4
b^4
Answer:
The amount of chamomile tea that has to be used in order to obtain a mixture that costs $14.32 per pound is 8.997 pounds
Step-by-step explanation:
In order to find out the amount of chamomile tea that must be used in the mixture to obtain a 14.32 $ per pound, we can use an weighted average where the price points for each kind of tea are the weights and "c" is the amount of chamomile that we have to use in order to obtain the price per pound that we want. So we have:
(18.5*c + 12.23*18)/(c + 18) = 14.32
18.5*c + 220.14 = 14.32*(c+18)
18.5*c + 220.14 = 14.32*c + 257.76
18.5*c - 14.32*c = 257.75 - 220.14
4.18*c = 37.61
c = 8.997 lb
Answer:
0.2
Step-by-step explanation:
2/10=1/5=0.2
hope this helps
Answer:
x = (-19)/3
Step-by-step explanation:
Solve for x:
10 - 2 x + 5 (x + 4) + 3 (2 x + 9) = 0
5 (x + 4) = 5 x + 20:
10 - 2 x + 5 x + 20 + 3 (2 x + 9) = 0
3 (2 x + 9) = 6 x + 27:
6 x + 27 + 5 x - 2 x + 10 + 20 = 0
Grouping like terms, 6 x + 5 x - 2 x + 10 + 20 + 27 = (-2 x + 5 x + 6 x) + (10 + 20 + 27):
(-2 x + 5 x + 6 x) + (10 + 20 + 27) = 0
-2 x + 5 x + 6 x = 9 x:
9 x + (10 + 20 + 27) = 0
10 + 20 + 27 = 57:
9 x + 57 = 0
Subtract 57 from both sides:
9 x + (57 - 57) = -57
57 - 57 = 0:
9 x = -57
Divide both sides of 9 x = -57 by 9:
(9 x)/9 = (-57)/9
9/9 = 1:
x = (-57)/9
The gcd of 57 and 9 is 3, so (-57)/9 = (-(3×19))/(3×3) = 3/3×(-19)/3 = (-19)/3:
Answer: x = (-19)/3
To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3 p 2 r 3 .
