oceanside bike rental shop charges a 14 dollar fixed fee plus 7 dollars an hour for renting a bike. Tim paid 49 dollars to rent a bike. How many hours did he pay to have the bike checked out?

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

[tex]f(c) = \frac{9}{5} c +32[/tex]

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

[tex]c = \frac{5}{9} (y-32)[/tex]

[tex]c = \frac{5}{9} (f(c)-32)[/tex]

In order to get the inverse function, interchange c and f(c),

[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

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the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:

Answer:

131.086

Step-by-step explanation:

Answer: -32

You are taking away from "withdrawal"

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

(C) 1/2

Step-by-step explanation:

If 4s is 2 more than 4t, then:

(C) is the answer

Answer:

C

Step-by-step explanation:

We are given

t + 3t + 2 = s + 3s, that is

4t + 2 = 4s ( subtract 4t from both sides )

2 = 4s - 4t ← factor out 4 from each term

2 = 4(s - t) ← divide both sides by 4 , thus

s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

Answer:

Step-by-step explanation:

1. Equation: x + 50 = 180 degrees

Solution: x = 180 - 50

               x  = 130 degrees

2. Equation: x + 45 = 90 degrees

Solution: x = 90 - 45

               x = 45 degrees

Answer:

the answer is choose not chose

Step-by-step explanation:

Answer:

the answer is 40

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

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Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

14.025, 40/3, square root 170, 14%

Calculator, the end

Answer: Answers

Step-by-step explanation:

The first option

Answer:

a its the first one

Step-by-step explanation:

because i did the math and i have dont this question before

Answer:

Angles 1 and 2 are supplementary

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

-3x + 8

Step-by-step explanation:

The railroad track moves in a straight path from station A to station B and then from station B to station C.

Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:

AC = AB + BC

Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:

AC = 3x + 4 and BC = 6x - 4.

Using the line segment addition postulate:

AC = AB + BC

3x + 4 = AB + (6x - 4)

AB = 3x + 4 - (6x - 4)

AB = 3x + 4 - 6x + 4

AB = 3x - 6x + 4 + 4

AB = -3x + 8

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

Answer:

10 .......................

=5(10+2)/2(10)-14

=60/6

=10

mark ice bear Brainliest

Answer:

3

-

16

Step-by-step explanation:

Let x = 0.376376376...

Then 1000x = 376.376376376...

So we have

1000x - x = 376.376376376... - 0.376376376...

999x = 376

x = 376/999

Step-by-step explanation:

f(x) = 2x + 5 = 45

2x + 5 = 45

2x = 45 - 5

2x = 40

x = 20

Answer:

f(x) = 2x + 5 = 45

2x + 5 = 45

5-25=2x

40=2x

x = 20

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

Answer:

530, 470.

Step-by-step explanation:

The maximum amount is 500 + 30 = 530.

The minimum amount is 500 - 30 = 470.

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

12x^3 + 19x^2 -27x -40

The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + x - 8 and g(x) = 4x + 5

The function g(f(x)) is written as,

g(f(x)) = 4(3x² + x - 8) + 5

Simplify the function, then we have

g(f(x)) = 4(3x² + x - 8) + 5

g(f(x)) = 12x² + 4x - 32 + 5

g(f(x)) = 12x² + 4x - 27

The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.

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Answer:

21900 hours

Step-by-step explanation:

To change years to hours, you need to multiply it by 8760. So 2.5*8760= 21900

Answer: 21,914.55 hours

I hope my answer helps you! :)

Answer:

14/25

Step-by-step explanation:

0.56=56/100=28/50=14/25