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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! :)

You might be interested in
A bag contains 6 red marbles, 2 white marbles, and 1 gray marble.You randomly pick out a marble,record its color,and put it back
Dominik [7]
You should expect 5. There is one grey marble out of 9 total, and that can be expressed as 1/9. Since you repeat it 45 times, it's 1/9 45 times, or 1/9(45). 

\frac{1}{9} * \frac{45}{1}

1*45 is 45

9*1 is 9.

45/9 is 5.
<em></em>

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<em>Be sure to choose which answer is Brainliest!</em>
8 0
3 years ago
What is the correct inverse function for f(x)=ln(3x)?
Maslowich

Let y = f(x)

y = ln(3x)

Exchange place with x and y.

x = ln(3y)

Solve for y.

y = (e^x)/3

Replace y with the inverse notation.

f^(-1) x = (e^x)/3

Done.



5 0
3 years ago
Read 2 more answers
You have two job offers. Conn’s offers a weekly salary of $500 plus commission of 3% of sales. Best Buy offers a weekly salary o
denis23 [38]

Answer: y=3x+500 and y=2x+400

Step-by-step explanation:

you are going to get the weekly salary anyways, but the percentage of sales all depends on what you are doing to make sure you are selling things.

7 0
2 years ago
URGENT!!
Lapatulllka [165]

Answer:

f[g(4)] = 4

Step-by-step explanation:

Given table:

\begin{array}{| c | c | c | c | c | c |}\cline{1-6} x & -6 & -4 & 1 & 3 & 4\\\cline{1-6} f(x) & 4 & -1 & -6 & 1 & 3 \\\cline{1-6} g(x) & 1 & 4 & 3 & -4 & -6 \\\cline{1-6}\end{array}

f[g(4)] is a composite function.

When calculating <u>composite functions</u>, always work from inside the brackets out.

Begin with g(4):  g(4) is the value of function g(x) when x = 4.

From inspection of the given table, g(4) = -6

Therefore, f[g(4)] = f(-6)

f(-6) is the value of function f(x) when x = -6.

From inspection of the given table, f(-6) = 4

Therefore, f[g(4)] = 4

3 0
2 years ago
Read 2 more answers
Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?
Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

T = E + P

4P = E + P

E = 3P

Now we find the time.

E = P*0.04*t

3P = P*0.04*t

0.04t = 3

t = \frac{3}{0.04}

t = 75

It takes 75 years for the investment to quadruple in value

7 0
2 years ago
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