If a is directly proportional to b, we have the relationship to be:
When a = 25, b = 35. Therefore, we can calculate the value of k as follows:
Therefore, the relationship is given to be:
When a = 40, we can calculate the value of b to be:
The value of b is 56.
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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:
The answer to your question is:
Step-by-step explanation:
(4 + 5) + 2 = 4 + (5 + 2) Associative property of addition
2(2x + 4) = 4x + 8 Distributive property
( 7 x ) 3 = 7 (x 3) Associative property of multiplication
( 8 x 2) = (x 8 2) Commutative property of multiplication
( 7 + 3) + 1 = 1 + (7 + 3) Commutative property of addition
