Janessa recently increased the size of his Jeep tires from the original P230/85R18 to the larger P250/85R21. If Janessa didn’t recalibrate her odometer, how far did she really travel on the new tires when her odometer shows she has traveled 23425 miles?

Answers

Answer 1

The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.

The given parameters:

Original size of the tire, = P230/85R18The width of the smaller tire, = 230 mmAspect ratio, = 85%Larger size of the tire, = P250/85R21The width of the larger tire, = 250 mmAspect ratio, = 85%Reading of the odometer = 23,425 miles

The diameter of the smaller tire is calculated as follows;

[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]

diameter of the smaller tire;

D = 2(7.7 in)  + 18 in

D =  33.4 in

The circumference of the smaller tire;

[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]

The diameter of the larger tire is calculated as follows;

[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]

diameter of the larger tire;

D = 2(8.37 in)  + 21 in

D =  37.74 in

The circumference of the larger tire;

[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]

After one rotation, the larger tire will travel the following distance more than  the smaller tire;

[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]

The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;

[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]

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Related Questions

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Answer:

Integers

Step-by-step explanation:

Integers are the set of whole numbers and their opposites.

The answer is integers

What location on the line would you find the constant of proportionality?

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Answer:

2.4

Step-by-step explanation:

The constant of proportionality is y=kx which should 2.4

every week james skis 8 miles and swims 12 miles, write an order that represents the miles he skies and swims in 8 weeks.

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Answer:

Every eight weeks, James skis 64 miles and swims 96 miles.

Step-by-step explanation:

12×8=96

8×8=64

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Answer:

5 b^ 3 √ a

Step-by-step explanation:

Break up the radicand up into a product of known factors assuming positive real numbers.

Rebecca can swim 90 meters in 2 minutes. If you graph this with minutes on the x-axis and meters on the y-axis, what will be the slope of the line?


May I please have some help with this problem?

Answers

The slope of a line is the average rate of change of the line.

The slope of the line would be 45

From the question, we understand that she can swim 90 meters in 2 minutes.

So, the slope (m) of the line of the graph would be

[tex]m=\frac{90 - 0}{2 - 0}[/tex]

Simplify the numerator, and the denominator

[tex]m=\frac{90}{2}[/tex]

Divide 90 by 2

[tex]m=45[/tex]

Hence, the slope of the line would be 45

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Answer:

angle 4 is also 75 degrees

Step-by-step explanation:

In the standard (x, y) coordinate plane, what is the
distance between the origin and the point (,5 –12)

Answers

Answer:

13

Step-by-step explanation:

You simply apply the distance formula:

[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(5-0)^2+(-12-0)^2} = \sqrt{25+144}=\sqrt{169}=13[/tex]

A tree casts a shadow of 69.53 feet. A 5 feet pole casts a shadow of 8.97 feet. Find
the height of the tree.

Answers

Answer:

The height of the tree is 38.76.

Step-by-step explanation:

[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]

x= [tex]\frac{69.53x5}{8.97}[/tex]

69.53x5= 347.65

347.65  8.97= 38.75696767

round the number (38.76)

Hope this helps

sorry if its wrong

How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

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Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair

Answers

The equation used to model the regular cost of each chair at Maplewood Furniture store is given by 6c - 55 = 455

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let c represent the regular cost for x chairs. Hence:

c = mx + b

Given that a discount of $55 is applied to the total, hence, b = -55.

Rhianna buys a set of 6 chairs and pays 455, hence:

6c - 55 = 455

6c = 510

c = 85

The equation is given by 6c - 55 = 455 and the regular cost of each chair is $85

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How could I write this out?

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Answer:

1.6 divided by 8 is 0.2

Step-by-step explanation:

The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....

Answers

Answer:

-5x+173

Step-by-step explanation:

x+4x+7      (sum of the 2 angles that you know)

5x+7

180-5x+7

-5x+173

Can anybody help me with these three problems thank you

Answers

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

a A rocket is launched from a tower The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground , the nearest 100th of second y=-16x^2+148x+128

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Answer:t=10.05s

Step-by-step explanation:

HELP PLS, ill reward w brainlist or whatever those things r JUST HELP

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Answer:

I am not exactly sure of the answer, i am just trying to help

I think the angle O is 135

The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.

I dont know if you understan what i am trying to say

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Answers

Answer: A. 40

Step-by-step explanation:

Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)​

Answers

Answer:

84

Step-by-step explanation:

Total episodes to watch = (100 - 30)% = 70%

Finding 70% of 120

70/100 × 120

7 × 12

84

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
1
a. y = f (2x)
b
y = f (3)
C. 2y = f(x)
= x
. d. = f(x)
у
-
Enter

Answers

Answer:

Step-by-step explanation:

The answer is d.

The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.

What is a graph representing a function ?

A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.

For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.

Here, the black graph corresponds to the function:

y = f (x).

In the red graph, the y values are increased to two fold but the x-values are the same.

then,

relation between new y values and older function f(x) is :

y/2 = f (x).

Therefore, option D is correct.

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Answers

Answer: They are inverses of each other

============================================================

Explanation:

We need to check two things:

f(g(x)) = xg(f(x)) = x

If both of those equations are true, then f and g are inverses of each other.

----------------

Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

------------------

Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

Answers

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

Solve for x, rounding your answer to two decimal places.
х=log,75

Answers

Answer:

x=1.88

Step-by-step explanation:

PLEASE HELP ME PLEASE

Answers

Answer:

5

Step-by-step explanation:


460,451,442,...
Find the 37th term.
Find the 37th term.

Answers

Answer:

The 37th term is 136.

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

The formula for arithmetic sequence is

[tex]an = a1 + (n - 1)d[/tex]

where,

an is the nth term,

a1 is the first term,

n is the term number and

d is the common difference

Find the 37th term.

an = a1 + ( n-1 ) d

a37 = 460 + ( 37-1 ) -9

a37 = 460 + ( -324 )

a37 = 136

Complete the third step to solve the equation.

3 + 2x = -6x + 4

1. Isolate the variable term on one side: 3 + 8x = 4

2. Isolate the constant on the other side: 8x = 1

3. Solve for x: x =

Answers

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

X equal one over eight

Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.

Answers

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = [tex]\sqrt{400 - b^2}[/tex]

A = bh

A = b[tex]\sqrt{400 - b^2}[/tex]

Area will be maximized when the derivative is set to zero

           dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

                   0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

b²/[tex]\sqrt{400 - b^2}[/tex] =  [tex]\sqrt{400 - b^2}[/tex]

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = [tex]\sqrt{200}[/tex]

h = [tex]\sqrt{400 - b^2}[/tex]

h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]

h = [tex]\sqrt{200}[/tex]

A = bh

A =  [tex]\sqrt{200}[/tex][tex]\sqrt{200}[/tex]

A = 200 units²

Mark purchased a 20 foot long sub for a party he cuts the sandwich into 5/12 foot sections into how many pieces does he cut the sandwich

Answers

Answer:

48 pieces

Step-by-step explanation:

20÷5/12=20*12/5=240/5=48

Help with this problem

Answers

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

3x+4=0

x-1=0

(x-3)^2=0

We solve for x each time

x=-4/3

x=1

x=3

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

0y=0

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

(0,72) is the correct answer

i need help on this asap pls help??

Answers

Answer:

Step-by-step explanation:

Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters

Answers

Answer:

In a period of time of 24 hours...

Step-by-step explanation:

In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha

First to answer correctly will get brainiest.

How to get a number 100 by using four sevens (7’s) and a one (1)?

Answers

Answer:

read step-by-step explanation

Step-by-step explanation:

it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100

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