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AVprozaik [17]
3 years ago
7

The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

Mathematics
1 answer:
posledela3 years ago
7 0
S-Sam's\ age\\H-Hank's\ age\\\\  \left\{\begin{array}{ccc}\frac{S}{H}=\frac{5}{3}\\S+H=24&\to S=24-H\end{array}\right\\\\substitute\ S=24-H\ to\ \frac{S}{H}=\frac{5}{3}\\\\\frac{24-H}{H}=\frac{5}{3}\\\\cross\ multiply\\\\5H=3(24-H)\\5H=72-3H\\5H+3H=72\\8H=72\ \ \ /:8\\H=9\\\\Answer:Hank\ is\ 9\ years\ old.
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One function has an equation in slope-intercept form: y = x + 5. Another function has an equation in standard form: y + x = 5. E
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<h3>How to determine the difference in the properties of the functions?</h3>

From the question, the equations are given as

y = x + 5

y + x = 5


From the question, we understand that:

The equations must not be converted to the same form before the question is solved

The equation of a linear function is represented as

y = mx + c

Where m represents the slope and c represents the y-intercept

When the equation y = mx + c is compared to y = x + 5, we have

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When the equation y - mx = c is compared to y + x = 5, we have

Slope, m = -1

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By comparing the properties of the functions, we have

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Hence, the different properties of the functions are their slopes

Read more about linear functions at

brainly.com/question/15602982

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