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Verdich [7]
2 years ago
15

Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?

Mathematics
2 answers:
zysi [14]2 years ago
8 0

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

FromTheMoon [43]2 years ago
8 0

Answer:

it will take him 8 days (7.98 in you don't round)

Step-by-step explanation:

90 -240= 150

150/90 = 1.6666....

1.66 * 3  = 4.98

4.98+3 =7.98  (8 if you round)

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If AD=6 and AB=24, find AC
ruslelena [56]
When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)

Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12

By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.

Answer: b=12
6 0
3 years ago
Berto invested in a precious mineral. The value of the mineral tend to increase by about 11% per year. He invest $40,000 in 2015
stealth61 [152]

the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.


\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000

5 0
3 years ago
bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li
Mrrafil [7]

Answer:

y=-3,250t+25,000

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

so

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

<em>Find the slope m</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{t2-t1}

substitute the values

m=\frac{12,000-25,000}{4-0}

m=\frac{-13,000}{4}

m=-\$3,250\ per\ year ---> is negative because is a decreasing function

we have

b=\$25,000 ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

y=-3,250t+25,000

3 0
3 years ago
Read 2 more answers
Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polyn
lorasvet [3.4K]

Step-by-step explanation:

in newton rapson method

x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}

Let n=n-1

x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}

x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}

7 0
2 years ago
A menu list 3 appetizers 4 meals 2 drinks and 2 dessert a dinner consists of 1 of each of these 4 items how many different dinne
e-lub [12.9K]

Answer:

2.75

Step-by-step explanation:

8 0
2 years ago
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