Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Let's think of the boat and wind as vectors:
Boat Vector --> [tex]\langle28cos36^\circ,28sin36^\circ\rangle[/tex]
Wind Vector --> [tex]\langle10cos22^\circ,10sin22^\circ\rangle[/tex]
Now, let's add the vectors:
[tex]\langle28cos36^\circ+10cos22^\circ,28sin36^\circ+10sin22^\circ\rangle[/tex]
Find the magnitude (the true velocity):
[tex]\sqrt{(28cos36^\circ+10cos22^\circ)^2+(28sin36^\circ+10sin22^\circ)}\approx37.78\approx38[/tex]
Find the direction (angle):
[tex]\theta=tan^{-1}(\frac{28sin36^\circ+10sin22^\circ}{28cos36^\circ+10cos22^\circ})\approx32.32^\circ\approx32^\circ[/tex]
Thus, D is the best answer
Problem 2
Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of the vectors and [tex]||u||*||v||[/tex] is the product of each vector's magnitude:
[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{\langle-82,47\rangle\cdot\langle92,80\rangle}{\sqrt{(-82)^2+(47)^2}*\sqrt{(92)^2+(80)^2}})\\\\\theta=cos^{-1}(\frac{(-82)(92)+(47)(80)}{\sqrt{6724+2209}*\sqrt{8464+6400}})\\\\\theta=cos^{-1}(\frac{(-7544)+3760}{\sqrt{8933}*\sqrt{14864}})\\\\\theta=cos^{-1}(\frac{-3784}{\sqrt{132780112}})\\\\\theta\approx109.17^\circ\approx109^\circ[/tex]
Therefore, C is the best answer
Related Questions
Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.
Answers
The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3
How to write and solve equation?let
x = unknown number
2x + 1 = 4 + x
collect like terms2x - x = 4 - 1
solve
x = 3
Therefore, the unknown number is 3
Learn more about equation:
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Suppose that f(x)=6/x^7 find the following
F’(2)
F’(-1)
Answers
Answer:
f’(2) = -21/128
f’(-1) = -42
Step-by-step explanation:
We are given a function:
[tex]\displaystyle \large{f(x)=\frac{6}{x^7}}[/tex]
We want to evaluate f’(2) and f’(-1). Keep in mind that f’(x) denotes or means the derivative of f(x). So what we are going to do first is to find the derivative of given function.
Derive the function, there are two ways to derive it, either using power rules or quotient rules. For this, I’ll demonstrate two methods.
Power Rules
If [tex]\displaystyle \large{f(x)=x^n}[/tex] then [tex]\displaystyle \large{f\prime (x)=nx^{n-1}}[/tex] where n is any real numbers.
Since the function is written in a fraction form, we’ll have to convert it to the x^n form using law of exponent.
[tex]\displaystyle \large{f(x)=\frac{6}{x^7} \to f(x)=6\cdot \frac{1}{x^7}}[/tex]
Law of Exponent I
[tex]\displaystyle \large{\frac{1}{a^n} = a^{-n}}[/tex]
Therefore:
[tex]\displaystyle \large{f(x)=6x^{-7}}[/tex]
Then derive the function using power rules:
Property of Differentiation I
[tex]\displaystyle \large{y=kf(x) \to y\prime = kf\prime (x)}[/tex] where k is a constant.
[tex]\displaystyle \large{f\prime (x)=6\cdot -7x^{-7-1}}\\\displaystyle \large{f\prime (x)=6\cdot -7x^{-8}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]
Quotient Rules
[tex]\displaystyle \large{y=\frac{f(x)}{g(x)} \to y\prime = \frac{f\prime (x)g(x)-f(x)g\prime (x)}{[g(x)]^2}}[/tex]
If f(x) = k or a constant then:
Property of Differentiation II
[tex]\displaystyle \large{y=k \to y\prime = 0}[/tex] for k is a constant.
[tex]\displaystyle \large{y=\frac{k}{g(x)} \to y\prime = \frac{0\cdot g(x)-kg\prime (x)}{[g(x)]^2}}\\\displaystyle \large{y\prime = \frac{-kg\prime (x)}{[g(x)]^2}}[/tex]
Therefore:
[tex]\displaystyle \large{f\prime (x)=\frac{-6\cdot 7x^{7-1}}{[x^7]^2}}\\\displaystyle \large{f\prime (x)=\frac{-42x^6}{x^{14}}}\\\displaystyle \large{f\prime (x)=-42x^{6-14}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]
Laws of Exponent used above:
[tex]\displaystyle \large{(a^n)^m = a^{nm}}\\\displaystyle \large{\frac{a^n}{a^m} = a^{n-m}}[/tex]
Therefore the derivative of function is:
[tex]\displaystyle \large{f\prime (x) = -42x^{-8}}[/tex] or [tex]\displaystyle \large{f\prime (x)=-\frac{42}{x^8}}[/tex]
Next is to substitute x = 2 and x = -1 in the derivative.
[tex]\displaystyle \large{f\prime (2)=-\frac{42}{2^8}}\\\displaystyle \large{f\prime (2) = -\frac{42}{256}}\\\displaystyle \large{f\prime (2)= -\frac{21}{128}}[/tex]
And:
[tex]\displaystyle \large{f\prime (-1)=-\frac{42}{(-1)^8}}\\\displaystyle \large{f\prime (-1) = -\frac{42}{1}}\\\displaystyle \large{f \prime (-1) = -42}[/tex]
Therefore, f’(2) = -21/128 and f’(-1) = -42.
After winning $73,000 on a game show, Jasmine invests the money in a fixed-rate account offering 7.2% interest
compounded semiannually. How long will it take that amount to grow to $100,000?
Answers
Answer:
139600
Step-by-step explanation:
just dived all the numbers
enter the value for x
Answers
The equation representa Function A and the graph represents Function B
Answers
Answer:
D) Slope of Funcation B = - Slope of Function A
Step-by-step explanation:
The equation for the line is:
y=mx+b
Where m is the slope and b is the y-intercept
In this question, we are only interested in the slope.
For function A, we can see that the equation is f(x) = -2x + 1
Going back to the equation, we can see that -2 is the slope
Now for function B, we need to find the slope by looking at the graph.
To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)
So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be
2
Comparing the slope of both the functions
Function A is -2
and
Function B is 2
So the answer is D
solve x/3+y/4=2
2x/3+3y/4=5
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]
[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]
8x + 9y = 60 -------------------------(ii)
Multiply equation (i) by (-2)
(i)*(-2) -8x -6y = -48
(ii) 8x +9y = 60 {Now add. x will be cancelled}
3y = 12 {Divide both sides by 3}
y = 12/3
y = 4
Substitute y = 4 in equation (i)
4x + 3*4 = 24
4x + 12 = 24
4x = 24 - 12
4x = 12
x = 12/4
x = 3
[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]
The electrical current, in amperes, in a circuit varies directly as the voltage. When 18 volts are applied, the current is 6 amperes. What is the current when 51 volts are applied?
Answers
Answer:
Step-by-step explanation:
6 Ampheres or 6A
Step-by-step explanation:
I = Current (unit is Amphere or A)
V = Voltage (unit is Volt or V)
R = Resistance ( unit is Ohm or Ω)
Formulas:
V=IR ; when getting the voltage
R=V/I; when getting the resistance
I=V/R; when getting the current
Solution of the Problem:
First, you have to get the resistance using the first given senario.
Distribute the given values (Voltage=15 Volts or 15V and Current= 5 Ampheres or 5A) to the formula on how to get the resistance.
R=V/I = 15 Volts/5 Ampheres
= 3 Ohms or 3Ω
Now, you have the value of the resistance which is 3 Ohms or 3Ω and the given value of voltage which is 18 Volts or 18V for the second senario.
I=V/R = 18 Volts/ 3 Ohms
= 6 Ampheres or 6A
So, the value of the current is 6 Ampheres or 6A
mark me brainliest and hope this helps!
hi i need help ill give brainlyest
Answers
Answer: 48.
Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side. 48 is at the the tip of the left whisker. Therefore, that's your answer.
Hope this helps! :)
In the figure; Triangle ABC is isosceles with BC=AC . If ∠A = 70, find the values of x and y . Give reasons for your answer.
Captionless Image
Answers
Answer:
∠B = 70 and ∠C = 40
Step-by-step explanation:
The image is not loading for me but with isosceles triangles there will two angles that are the same and one different angle.
All the angles will add up to equal 180 degrees.
In this case the different angle would angle C as the two same lines meet at that point.
From this you can that angle A and B are the same, both 70, so angle C would be:
180 (all the angles of a triangle added together) - 70 - 70 = 40
I'm assuming that x and y are angles B and C as they are not stated so they would be: ∠B = 70 and ∠C = 40.
Here is a diagram to demonstrate this:
9. If triangle GFE - triangle GHJ, find the value of x.
Answers
Answer:
2
Step-by-step explanation:
→ Find the scale factor
12 ÷ 7.5 = 1.6
→ Form an equation
x + 6 = 1.6 ( 2x+ 1 )
→ Solve
x = 2
Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.
Answers
The inequality that models the situation is given by:
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
How does Amir plans to spend his $50?He plans to spend it as follows:
With a new pair of sandals, costing $26.50.With n new shirts, each costing $8.Hence, his total spending is given by:
T = 26.50 + 8n.
He can spend at most $50, hence:
[tex]T \leq 50[/tex].
[tex]26.50 + 8n \leq 50[/tex]
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
More can be learned about inequalities at https://brainly.com/question/25235995
Flying against the jetstream, a jet travels 2370 miles in 3 hours. Flying with the jetstream, the same jet travels 6350 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Answers
Velocity of jet in still air is
970
miles per hour and velocity of wind is
210
miles per hour.
Explanation:
Jet's velocity against wind is
3040
4
=
760
mile per hour and flying with wind it is
8260
7
=
1180
miles per hour.
Let the velocity of jet in still air be
x
miles per hour and velocity of wind be
y
miles per hour.
As such its velocity against wind is
x
−
y
and with wind is
x
+
y
and therefore
x
−
y
=
760
and
x
+
y
=
1180
Adding the two
2
x
=
1940
and
x
=
970
and
y
=
1180
−
970
=
210
Hence velocity of jet in still air is
970
miles per hour and velocity of wind is
210
miles per hour.
The speed of an aircraft in still air is 200kmh−1. The wind blows from the west at a speed of 85.0kmh−1.
1 Expert Answer
The speed of the plane in still air is 110 mph.
Multiply the headwind or tailwind component by your estimated flight time expressed as a decimal, such as "3.2 hours." Add the result (don't forget that tailwinds are negative numbers) to the geographic distance of your route. The resulting number will be total nautical air miles of your trip.
the quotient of the product of 32 and 15 and the difference of 17 and 9 as a numerical expression?
Answers
Answer:
(32×15)/(17 -9)
Step-by-step explanation:
The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.
__
Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).
Then the desired numerical expression is ...
[tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]
______
Additional comment
The result of evaluating this expression is ...
(32×15)/(17 -9) = 480/8 = 60
__
For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".
In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).
A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Grace needs to ship a package that is 3x-5 centimeters long, 2x centimeters wide, and x + 20 centimeters tall. A.Write a polynomial expression to represent the situation if Grace plan as to spend a maximum of $7.50
B. Write and solve a system of equations
C. What should the dimensions of the package be to have the maximum volume?
Answers
The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000
What is an inequality?
An inequality is an expression that shows the non equal comparison between two or more numbers and variables.
A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Hence, if Grace plan as to spend a maximum of $7.50:
Volume (V) = (3x - 5)(2x)(x + 20) = 6x³ + 110x² - 200x
The inequality is:
6x³ + 110x² - 200x ≤ 15000
6x³ + 110x² - 200x - 15000 ≤ 0
x = 10
The maximum volume is at:
V' = 0
V' = 18x² + 220x - 200 = 0
x = 0.85 cm
The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000
Find out more on inequality at: https://brainly.com/question/24372553
Combine like terms:
-3(4x + 3) - (2x - 5) + 6(3x - 4)
Make sure you put your x term first
Due in 6 hours
Answers
We ll get -12x-9-2x+5+18x-24
Now we have to combine like terms
-12-2x+18x=4x
-9+5-24=-28
Therefore our answer is:
Y=4x-28
Answer:
4x - 28
Step-by-step explanation:
[tex]-3(4x + 3) - (2x - 5) + 6(3x - 4)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]
[tex]-\left(2x-5\right)=-2x+5[/tex]
[tex]=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)[/tex]
[tex]=-12x-9-2x+5+6\left(3x-4\right)[/tex]
[tex]=-12x-9-2x+5+18x-24[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-12x-2x+18x-9+5-24[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-9+5-24=-28[/tex]
[tex]=-12x-2x+18x-28[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x[/tex]
[tex]=4x-28[/tex]
~Learn with Lenvy~
I will give brainliest if you answer these 10 questions :) 1.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling roundtrip?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
2.Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels?
A. 16 miles
B. 25 miles
C. 48 miles
D. 54 miles
3.Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
4.Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
5.What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
6.Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
7.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels roundtrip?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
8.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling before going back home?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
9.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
10.What is the shortest distance Jill can travel if she leaves her house, goes to the post office, to the grocery store, and then returns home?
A. 15 miles
B. 28 miles
C. 45 miles
D. 60 miles
Answers
Which of the following describes this?
Answers
Answer:
Step-by-step explanation:
irrational number
Answer:
Irrational number
Step-by-step explanation:
It is a never-ending and non-repeating number.
Answer my question #4
Answers
Answer:
11. 432,500 12. KF & ND
Step-by-step explanation:
11.
80,000 + 75,000 + 105,000 + 82,500 + 90, 000 = 432,500 people
( it says "about" so it doesn't have to be exact but a reasonable guess)
12. The two stadiums most similar in attendance is Kyle Field and Notre Dame
what’s the answer to 22= b/2 -2
Answers
b would equal 48
_________________
22 + 2 = b/2
24 = b/2
b = 24 x 2 = 48
b = 48
how do I write this out? Expand to write an equivalent expression…
1/2(-4x + 2y)
Answers
Answer:
-2x + y
Step-by-step explanation:
This is distributive property, so multiply the terms inside the parentheses by 1/2.
1/2 (-4x) = -2x
1/2(2y) = y
-2x + y
Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?
Answers
Answer:
47.5%
Step-by-step explanation:
3.8/8.0 x 100
= 47.5%
Uncle Jack used 47.50 percent of the wood he cut to create the shelf.
What is the percentage?The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.
Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,
P = (3.8 / 8) x 100
P = 0.475 x 100
P = 47.50%
The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.
More about the percentage link is given below.
https://brainly.com/question/8011401
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If you drew a marble from a bag containing 40 marbles and you had a probability of drawing a red marble, how many red marbles are in the bag?
6
10
3
5
Answers
Answer:
There are 5 red Marbles
Step-by-step explanation:
Alright so since the probability of drawing a red marble is
P(Red) = #Outcomes of Red/#Outcomes in Sample space
The sample Space is 40 marbles.
The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]
P(Red) = [tex]\frac{1}{8}[/tex]
[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]
Mrs. Bradford, a tailor, received 25 meters of fabric as a gift. She used 3 meters of fabric to make herself a long skirt. She plans to turn the rest of the fabric into smaller girls' dresses that she can sell. If she needs 110 centimeters of fabric for every dress, how many dresses can she make?
Answers
Answer:
20 dresses
Make sure to label
Step-by-step explanation:
there is 100 centimeters in 1 meter she has 2200 centimeters of fabric left and need 110 for each dress she can make 20 dresses
Find the average of this set of numbers.2, 5, 6, 14, 83
A) 22
B) 20
C) 19
D) none of the above
Answers
the answer is D i added then subtracted
. Quinn is building a table. The top is an isosceles trapezoid, with bases that are 1.5 meters and 2 meters, and a height of Imeter. What is the area of the table top?
Answers
Area = 1.75 Meters
Steps:
Area = h*(a + b) / 2
Fill in what we know.
Area = 1*(1.5 + 2) / 2
Evaluate.
Area = 1.75
What is 8x25 to ding out the answer please
Please I need help please help
Answers
Answer: 8x25= 200
Step-by-step explanation: 200
Answer:
8×25
=200 is the answer ok
Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesv
Answers
A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent.
How many liters of laundry detergent in all are in the closet?
Answers
Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres
Capacity of ItemsGiven Data
Number of Cases of Detergent = 5Number of Bottles on the closet = 5*12 = 60 bottlesRequired : the total litres
If each bottle is 3 litres in capacity and we have 60 bottles
Then the total amount in litres is
= 60*3
= 180 litres
Learn more about capacity of items here
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Each level of a smartphone app adds more gems for you to match. On
level one, there were 13 gems. On level twelve, there were 123 gems.
When you complete all twelve levels, how
many total gems will you have
matched? (2 points)
O 748
• 816
O 660
O 605
Answers
Sunshine Rental rents a motorcycle at a daily rate of $57.99 plus 48 cents per mile. City Rentals
rents the same motorcycle at $58.95 plus 46 cents per mile. For what mileage is the cost the same?
Answers
Answer:
48 miles
Step-by-step explanation:
To find the mileage when both cost the same, first form two equations for the total cost for each rental place.
Let the mileage be m.
Sunshine Rental
Daily rate= $57.99
Total cost= $(57.99 +0.48m)
City Rentals
Daily rate= $58.95
Total cost= $(58.95 +0.46m)
Let's equate both equations together.
When both costs the same,
57.99 +0.48m= 58.95 +0.46m
0.48m -0.46m= 58.95 -57.99
0.02m= 0.96
Solve for m:
m= 0.96 ÷0.02
m= 48
The cost is the same at 48 miles.