Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39
Answer: 
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Explanation:
We simply add the expressions we are given, though we cannot combine the terms (as they aren't like terms). There's not much to show in terms of steps, though I guess you could have the following:
Adding 4 onto 2^x means we shift the 2^x curve up four units.
Answer:
Joe is 14.
Martha is 28.
Step-by-step explanation:
Use the variables and information from the question to make equations.
If Joe's age is half Martha's:
(1/2)m = j OR 2j = m
If their ages combined is 42:
m + j = 42
We can substitute the equation m=2j into equation m + j = 42, replacing "m".
m + j = 42 Substitute m for 2j
2j + j = 42 Combine like terms, terms with same varables
3j = 42 Divide both sides by 3 to isolate j
j = 14 Joe's age
Since j = 14, we can substitute it into equation m=2j to find "m".
m = 2j Substitute j for 14
m = 2(14) Simplify
m = 28 Martha's age
Therefore Joe is 14 and Martha is 28.
Answer:
6+ 10h =31
Step-by-step explanation:
That's your equation. You have to then subtract six from the six and 31. Which would get you 10h=25. Divide 10 from both sides and get h=2.5. They rented a canoe for 2 and a half hours.
