6.71 miles
use the Pythagorean theorem
6^2 + x^2 = 9^2
36 + x^2 = 81
81-36= 45
square root of 45 is approximately 6.71 miles
We can solve for x or solve for y,
for x
y+6=5x
divide both sides by 5
=x
for y
y+6=5x
minus 6 from both sides
y=5x-6
Answer:
Hotdog: $1.50
Hamburger: $3.25
Step-by-step explanation:
<em>You write down the 2 equations based off of the information as I did:</em>
Let x = cost of a hotdog
Let y = cost of a hamburger
<em>and so:</em>
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3x + 2y = 11
2x + 4y = 16
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<em>Now, we need to find x and y:</em>
<em>We will make both equations equal to y to compare them to each other.</em>
2y = 11 - 3x
y = 5.5 - 1.5x
4y = 16 - 2x
y = 4 - 0.5x
4 - 0.5x = 5.5 - 1.5x
x = $1.5
<em>Now plugging in x into the equation:</em>
2(1.5) + 4y = 16
3 + 4y = 16
4y = 13
y = $3.25
And so hotdog = $1.5 and hamburger = $3.25
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