A company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shows the total cost to rent a bicycle for different amounts of time.
What is the initial fee, in dollars, that the company charges to rent a bicycle?

A Company Rents Bicycles To Customers. The Company Charges An Initial Fee Plus An Hourly Rate. This Table

Answers

Answer 1

Answer:

4, 3.3, and 3.2 the answer would be $10.05

Step-by-step explanation:

Answer 2

The initial fee that the company charges is equivalent to $2.

What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that a company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shown in the question gives the total cost to rent a bicycle for different amounts of time.

Assume that the initial fee is equivalent to $x. Then we can write the charge function as -

C(x) = mx + c

Now -

C(x) = {(20 - 8)/(6 - 2)}x + c

C(x) = (12/4)x + c

C(x) = 3x + c

For (2, 8) , we can write -

8 = 3 x 2 + c

c = 8 - 6

c = 2

Therefore, the initial fee that the company charges is equivalent to $2.

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Related Questions

It takes a puppy 2 days to eat 3/4 cup of food. At that rate, in how many days will it take the puppy consume 3 cups of food?

Answers

Answer:

4 days

Step-by-step explanation

[tex]\frac{4}{1}[/tex] x [tex]\frac{4}{3}[/tex] = 5 [tex]\frac{1}{3}[/tex]

A bowl contains an apple, a plum, a pear, and a banana. How many different pairs of fruit can be selected from the bowl

Answers

Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.

Solving the combination.

Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.

We can solve this further which will be:

= 4C2

= 4! /2! (4 - 2)!

= 4! / 2!2!

= (4 × 3 × 2)/ 2 × 2

= 24/4

= 6

Therefore, 6 different pairs of fruit can be selected.

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PLS PLS PLS HELP ME! I WILL GIVE BRAINILIEST!

Answers

Answer:

I'm going to answer in the comments so no one steals this answer

Step-by-step explanation:

what is the range of the relation graphed below?

Answers

Answer:

D. -2 ≤ y ≤ 2

Step-by-step explanation:

Range of a Relation

It's the set of values the relation takes when x moves into the relation's domain.

It can be graphically determined by placing imaginary horizontal lines from minus infinite to plus infinite. Where the line meets the relation's graph, that value of y belongs to the range.

If we place imaginary horizontal lines from -∞ up to y=-2, we won't meet the relation's graph. Exactly at y = -2, the line and the graph have one point in common.

Moving up the line will meet the graph until exactly y=2, from where there won't be any additional interceptions.

Thus, the range of the relation is [-2,2] or, written in inequality form:

D. -2 ≤ y ≤ 2

What is the y-intercept of the line 2x+3y = 6?
A.(0,2)
B.(2,0)
C.(0,3)
D.(3,0)

Answers

Answer:

Choice A (0,2)

Step-by-step explanation:

Solve for y:

2x + 3y = 6

3y = -2x+6

y=-2/3x+2

Sub x as 0 to find y:

y=-2/3(0)+2

y=2

Answer:

a- (0,2)

Step-by-step explanation:

PLATO

I need help on this cause I got the last one wrong..

Answers

Answer:

"All integers are irrational numbers" False

"No whole numbers are irrational numbers" True

"Some rational numbers are not integers" True

"Some integers are not whole numbers" True

Step-by-step explanation:

I'm 100% sure of this.

Jon is hanging a picture. He wants to center it horizontally on the wall. The picture is 32 1/2 inches long, and the wall is 120 3/4 inches long. How far from each edge of the wall should he place the picture? Please answer quickly.

Answers

Answer:

44.125 inches

Step-by-step explanation:

Given that:

Length of picture = 32 1/2 inches

Length of wall = 120 3/4 inches

Hence, to center picture horizontally ;

Distance from the edge of the wall in which the picture should be placed :

(Length of wall - length of picture) / 2

(120 3/4 - 32 1/2) / 2

(483/4 - 65/2) / 2

Take the L. C. M of 4 and 2 = 4

((483 - 130) / 4) ÷ 2

(353 / 4) ÷ 2

(353 / 4) * (1 / 2)

= 353 / 8

= 44 1/8

= 44 1/8

= 44.125 inches

The space that will be left in each side of the picture from the edge of the wall if Jon is to hang the picture at the center of the wall horizontally is: 44.125 inches.

The wall that Jon wants to hang the picture has been sketched in the diagram attached below (see attachment).

Given the following:

Length of the wall = 120 3/4 inches = 120.75 inches

Length of the picture = 32 1/2 inches = 32.5 inches

The space in each edge of the wall = x

Total length of space to be left = x + x = 2x

Therefore, the following equation can be derived as follows:

[tex]2x + 32.5 = 120.75[/tex]

Solve for x

[tex]2x = 120.75 - 32.5 \\\\2x = 88.25\\\\x = \frac{88.25}{2} \\\\\mathbf{x = 44.125 $ inches}[/tex]

Therefore, the space that will be left in each side of the picture from the edge of the wall if Jon is to hang the picture at the center of the wall horizontally is: 44.125 inches.

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Which calculation can be used to find 6% of 50?

Answers

Answer:

3

Step-by-step explanation:

We are required to find 6% of 50

To write it mathematically,

50 * 6%

Now, 6% can be rewritten as 6/100 because it tells us: '6 out of 100' and that is what percentage does

= 50 * [tex]\frac{6}{100}[/tex]

= [tex]\frac{300}{100}[/tex]

= 3

Hence, 6% of 50 is 3

hellllllllpppppppppp mmmmee plzzzzzzz​

Answers

the answer is (8,6) :)))))

Which triangle pairs are not necessarily congruent? Select all that apply:

Answers

Answer:

The answer is A because the one on the side is smaller then one one on the side

Step-by-step explanation:

The second option triangle pairs are not necessarily congruent.

What are congruent triangle?

Congruent triangles have the same corresponding angle measures and side lengths.

Given are five triangles,

In the second pair of the triangles, only angles are equal, which makes them similar not congruent.

Hence, The second option triangle pairs are not necessarily congruent.

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Question 1/3 There are 85 girls and 70 boys in the sixth grade. Of these students, 14 girls and 8 boys take piano lessons.
What percentage of the sixth graders at this school take piano lessons?
A. 14%
B. 22%
C. 18%
D. 12%

Answers

Answer:

A

Step-by-step explanation:

155-22/155 equal around 86% who don't so meaning 14% do take lessons.

Answer:

The answer is A.

Step-by-step explanation:

Someone help me please

Determine the tangent of < A

Answers

Answer:

B

Step-by-step explanation:

The tangent of an angle is the ratio of the opposite side to the adjacent.

With respect to Angle A, the opposite side is 12.

And the adjacent side is 5.

Therefore:

[tex]\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}[/tex]

The answer is B.

write the percent as fraction: 8⅓%​

Answers

Answer:

2700%

Step-by-step explanation:

8 1/3% expressed as a fraction is:

25/3

The given number is in mixed fraction 8 1/3 .

To write it in fraction follow the steps,

Step 1 - Multiply 8 by 3,

8x3=24

Step 2 - Add 24 and 1,

24+1=25

The required fraction became 8 1/3 = 25/3 .

Hopes this helps :)

Please I need help and I’m stumped here.

Answers

Answer:

Step-by-step explanation:

1) For complex numbers addition, add the real parts and imaginary party separately.

(2 +5i) - (-6 + 3i) = 2 + 5i + 6 - 3i

                          = 2+ 6 + 5i - 3i

                          = 8 + 2i

2)Use FOIL method

(-4 +2i)(3 - 7i) = -4*3 + (-4)*(-7i) + 2i* 3  + (2i)*(-7i)

                    = -12 + 28i + 6i -14i²                 {i² = -1}

                   = -12 + 28i + 6i - 14*(-1)

                   = -12 + 28i + 6i + 14             {Combine like terms}

                 = -12 + 14 + 28i + 6i

                 = - 2 + 34i

3)Hint:

[tex]a^{mn} = (a^m)^{n}\\\\a^{m}*a^{n}= a^{m+n}[/tex]

[tex]\sqrt[4]{144x^{12}y^{7}} =\sqrt[4]{2*2*2*2*3*3*x^{3*4}*y^{4+3}} \\\\=\sqrt[4]{2^{4}*9*(x^{3})^{4}*y^{4}*y^{3}}\\\\=2*x^{3}*y\sqrt[4]{9y^{3}}\\\\ =2x^{3}y\sqrt[4]{9y^{3}}[/tex]

4)

[tex]\sqrt[3]{\frac{320a^{10}}{27b^{6}}}= \sqrt[3]{\frac{8*8*5a^{3+3+3+1}}{3*3*3b^{3+3}}}\\\\=\sqrt[3]{\frac{2^{3}*2^{3}*5a^{3}*a^{3}*a^{3}*a}{3^{3}b^{3}*b^{3}}}\\\\=\frac{2*2*a*a*a}{3b*b}\sqrt[3]{\frac{5a}{1}}\\\\=\frac{4a^{2}}{3b^{2}}\sqrt[3]{5a}[/tex]

5) 4x² + 28x + 49 = 4x² + 14x +14x + 7*7

                            = 2x(2x + 7) + 7(2x + 7)

                            =(2x+ 7)(2x + 7)

6) 2x² + 3x - 20 =  2x² +8x - 5x - 5 *4

                         =2x(x + 4) - 5(x + 4)

                       = (x + 4)(2x - 5)

Solve each system of equations algebraically x-y=6 y=-1

Answers

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Step-by-step explanation:

Given the system of equations

[tex]x-y=6;\:y=-1[/tex]

solving

[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]

Isolate x for [tex]x+1=6[/tex]

[tex]x+1=6[/tex]

[tex]x=5[/tex]

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

What is the difference between an open and closed circle when graphing inequalities?
Answer Choices
A. Open Circle is for greater than or less than symbols, closed circles are for greater than or equal to or less than or equal to.
B. Both choices are correct
C. Open Circle means that the solution cannot be the answer, closed circle means that the answer can be part of the solution.

Answers

Answer:

i think its c

Step-by-step explanation:

Open circle means that the solution cannot be the answer, closed circle means that the answer can be part of the solution. Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The difference between an open and closed circle when graphing inequalities are  

A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than".

Therefore, option B is the correct answer.

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Find the perimeter of quadrilateral ABCD with vertices A(-2,-2), B(-1,3),

C(5, 3), and D(4, -2).

Answers

Answer:

22.2

Step-by-step explanation:

Step one

given the coordinates

ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)

AB=(-2,-2),(-1,3)

BC=(-1,3), (5, 3)

CD=(5, 3),(4, -2)

DA=(4, -2),(-2,-2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1[/tex]

The distance between points BC=

[tex]BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6[/tex]

The distance between points CD

[tex]CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1[/tex]

The distance between points DA

[tex]DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6[/tex]

Hence the perimeter = 5.1+6+5.1+6

= 22.2

PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST

Answers

Answer:

Jahmya's Lunch cost more

Step-by-step explanation:

Stephen's Lunch

(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33

Jahmya's Lunch

(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87

In Tayshia's pantry, there are bags of Cheetos and Doritos. The ratio of Cheetos to total bags of chips in her pantry is 9 to 16.

Which number could be the number of Doritos in Tayshia's pantry?

Answers

It’s not enough information given

In ∆ABC below, AD, BE, and CF are medians that intersect at G. If CG=8x and CF=9x+6, what is the value of x?

Answers

Answer:

Step-by-step explanation:

CG = [tex]\frac{2}{3}[/tex] CF

8x = [tex]\frac{2}{3}[/tex] (9x + 6)

8x = 6x + 4

2x = 4

x = 2

Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100​

Answers

Answer:

20 times

Step-by-step explanation:

30/6 = $5 per time

100/5 = 20 times

45 people per square kilometer. If the region covers 33 square kilometers, what is the population of the region?

Answers

Multiply people per square km by total square km.

45 x 33 = 1,485 total people.

please tell fast plzzzzzzz​

Answers

Answer:

im too dum

Step-by-step explanation:

dum dum dummy

A landscaper uses 28 yards of sod over 7
days during the summer. After 6 days,
how many yards of sod will the
landscaper use? Solve using unit rates.

Answers

Answer:

4.666 repeat robuxxx vegtebles hulk

Which of the following points would be on the graph of the equation y= -4x+6
A- (-4,-10)
B-(-4,22)
C-(1,-10)
D-(1,-2)

Answers

Answer:

B: (-4, 22)

Step-by-step explanation:

for these types of problems, you just need to plug in the values

A: y= -4(-4) + 6 = 22 — NOT 10

B: y= -4(-4) + 6 = 22 — CORRECT

C: y= -4(1) + 6 = 2 — NOT 10

D: y= -4(1) + 6 = 2 — NOT -2

Answer:

Step-by-step explanation:

find the lcm of 24,34,30 and 36​

Answers

LCM OF 24, 34, 30, 36:

What is something we can multiply by that will give us all the answers? The # would be 2.
Least common multiple of 30 and 36 is 180



What is the y-intercept?
y=-5x+3

Answers

The y-intercept point is (0,3)

A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?
-10-8-8
-2
4
6
8
10
X
-4
-6
-S
10
10

Answers

Answer:b

Step-by-step explanation:

Monthly sales of water heaters are normally distributed with a mean of 21 and a standard deviation of 5. What is the probability of selling 12 water heaters or
less?
a) 3.59%
Ob) 1.8096
O c) 96.41%
O d) 8.45%

Answers

Answer:

Option A: 3.59% is the correct answer

Step-by-step explanation:

Z-score is used to calculate the probabilities when mean and standard deviation is given.

Given

Mean = μ = 21

SD = σ = 5

We have to find the probability of selling 12 or less water heaters so our x value is 12

x = 12

The z-score of a value is calculated as:

z-score = (x-μ)/σ

Putting the values

[tex]z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8[/tex]

Now z-score table will be used to calculate the probability for z= -1.8

So we will go for the row with -1.8 and column 0, which gives us: 0.03593

As we have to calculate the probability in percentage

[tex]=0.03593*100\\= 3.593\%[/tex]

Hence,

Option A: 3.59% is the correct answer

A gallon of water weighs 8.354 pounds. Simon used 11.81 gallons of water while showering. About how much pounds of water did Simon use?

Answers

Answer:

98.6607 pounds

Step-by-step explanation:

11.81 times 8.354 = 98.6607

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