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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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Please help!!! i need this done by tonight!! 50 points!!
Vinil7 [7]

The equation of best fit is y = (-22/5)x + 10.

What is an equation of a line?

The equation of a line is given by:

y = mx + c where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The following coordinates are given:

Pick two coordinates.

(0, 10) and (25, -100)

The equation of best fit.

y = mx + c

Now,

m = (-100 - 10) / (25 - 0)

m = -110 / 25

m = -22/5

Now,

(0, 10) = (x, y)

10 = (-22/5) x 0 + c

c = 10

Now,

y = mx + c

y = (-22/5)x + 10

Thus,

Using the coordinates the equation of best fit is y = (-22/5)x + 10.

Learn more about equation of a line here:

brainly.com/question/23087740

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5 0
1 year ago
An observer spots a plane flying at a 42 degree angle to his horizontal line of sight. If the plane is flying at an altitude of
Natalija [7]

check the picture below.

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6 0
3 years ago
All eleven letters in the word GRASSHOPPER are put in a box. What is the probability of drawing a consonant from the box?
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I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
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