1. Rename the mixed numbers with common denominators
2. Add the mixed numbers together to get 15 4/6
3. Subtract the sum from 26 to get 10 1/2
4. Since the only term left on the left is k so k=10 1/2
He drank more than half of his drink... So we need to look for fractions greater than 1/2.
First, lets find equivalents of 1/2

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.
2 +1 3
__= ___
4 4
3/4 is greater than 1/2
Mike could have drunken 3/4 of the juice
4/6>1/2 Mike could have drunken 4/6 of the juice
5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.
Answer=3/4, 4/6, 5/8 and many more possible fractions
Answer:
No
Step-by-step explanation:
3x-5= 4+2x
Or, x=4+5
x=9
Answer:
$50
Step-by-step explanation:
15x18=270
1170-270=900
900/18=50
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵
=
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2