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Basile [38]
3 years ago
6

A park ranger hiked 3/4 mi to a lookout, another 5/7 mi to a bird's nest, and finally 5/14 mi to a campsite. How far did the par

k ranger hike?
​
Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

2 miles and 88 yards.

Step-by-step explanation:

4 has 2*2 as prime factors

5 is prime

10 has 2 and 5 as prime factors

Thus, the lowest common denominator will be 2*2*5

3/4=15/20

3/5=12/20

7/10=14/20

Now that we have three fractions with the same denominator, we can add the numerators

15+12+14=41

So 41/20ths

That’s 2 and 1/20th

So the final answer is 2 miles and 88 yards! :)

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3 years ago
Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
zysi [14]

Answer:

The difference in slopes of f(x)\ and\ g(x) is = 3

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We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

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Writing the given equations in standard form to find slope and y-intercept.

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We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

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3 years ago
What is the slope intercept form of 16x+2y=12
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So the slope intercept form is y=mx+b where m is slope and b is y intercept

so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6
8 0
3 years ago
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