Luka and Gabby rent a tandem bike for $25/hr.Which value is the dependent variable? Which is the independent variable? Write an equation to represent the relationship between the number of hours, h, and the total cost of c.

Answers

Answer 1

c = 25(h)

dependent variable : They must give $25 per hour.

independent variable: time is independent as no specific time given.

total cost = $25 * hours taken

c = 25 * h

c = 25(h)

Answer 2

Answer:

See below ↓

Step-by-step explanation:

Given

rate of renting a tandem bike = $25/hh = number of hoursc = total cost

Solving

Clearly, as the number of hours does not depend on another variable, h is the independent variableTherefore, c is the dependent variableThe equation is :⇒ c = 25h

Related Questions

How do I solve it the problem completely

Answers

Answer:

42 in²

Step-by-step explanation:

Total: Shape 1 + Shape 2

Area of a square: l x w, where l is the length and w is the width.

= 6 x 5

= 30

Area of a triangle: 1/2 x b x h, where b is the base and h is the height.

= 1/2 x 4 x 6

= 1/2 x 24

= 12

Total = 30 + 12

= 42 in²

Answer:

Step-by-step explanation:

This figure is trapezium

a and b are the parallel lines.

a = 5 +4 = 9 in  & b = 5 in   and h = 6 in

[tex]\boxed{\text{Area of trapezium =$\dfrac{(a+b)*h}{2}$}}[/tex]

                              [tex]\sf = \dfrac{(9+5)*6}{2}\\\\=\dfrac{14*6}{2}\\\\= 7*6\\\\= 42 \ in^{2}[/tex]

Consider the rectangle with width 4 ft and length 18 ft, write a ratio of the length to the width.

Answers

Answer: 18:4

Step-by-step explanation:

Ez

Answer:

9 : 2

Step-by-step explanation:

length : Width = 18 : 4

                       [tex]\sf = \dfrac{18 \ \div \ 2}{4 \ \div \ 2}\\\\=\dfrac{9}{2}[/tex]

                       = 9 : 2

What does using the degrees of freedom in a sample correct for? possible bias between the alternative and null hypotheses possible bias between the sample and the population possible bias between the standard deviation and variance possible bias between the standard deviation and the mean

Answers

In Statistics and mathematics, the degrees of freedom in a sample are used to correct: A. possible bias between the alternative and null hypotheses.

What is a null hypothesis?

A null hypothesis ([tex]H_0[/tex]) can be defined as the opposite of an alternate hypothesis ([tex]H_a[/tex]), and it asserts that two (2) possibilities are the same.

In In Statistics and mathematics, the test statistics of a given sample is calculated with this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

x is the sample mean.u is the mean.is the standard deviation.n is the sample size.

Also, the degrees of freedom in a sample are used to correct a possible bias that exists between the alternative and null hypotheses.

Read more on null hypothesis here: https://brainly.com/question/14913351

Find the value of the expression 1/2x+3 if x=12

Answers

Answer:

The answer is 9.

Step-by-step explanation:

1/2 * 12 = 6

6+3=9

Answer:

9

Step-by-step explanation:

x = 12

1/2 · 12 = 6

6 + 3 = 9

A very slow man walks

20 cm.in 0.5 left, what his

velocity in meter per second?

Answers

Displacement(d)=0.2m
Time taken(t)= 30 s(1min=60 s)
Velocity (v)=?
We know that,
Velocity (v) = d/t
=0.0067

Express √12+√27 in the form n√3, where n is an integer.

Answers

Answer:

5sqroot3

Step-by-step explanation:

see image.

An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.

To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image

Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these three integers equals 939.

Answers

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

If the mean of a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6. what is the best approximation of the percent of the scores
that fall between 54.3 and 63.5?
A 34
B 47.5
C 68
D 95

Answers

Answer:

A

Step-by-step explanation:

If the mean of a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6. what is the best approximation of the percent of the scores

that fall between 54.3 and 63.5?

A school's principal wanted to give a special 'Good Luck' pencil for each student in the fifth grade. If there are 105 kids in the fifth grade, and there are 12 pencils in each box, how many boxes will he need to buy?

Answers

To find the number of boxes divide the total kids by number of pencils in each box. Here 105/12 leaves remainder. It means still kids are left over. So add 1 to the quotient
105/12= 8 and remainder is 9.
So add 1 to the quotient 8 which is 9
Total pencil boxes = 9

2. When an adult is physically active, suppose the amount of water they will consume is normally distributed with an average of 20 ounces of water with a standard deviation of 7 ounces. If 10 adults are physically active, what is the probability that the average water consumed by them is less than 18 ounces? (note that we are working with a sampling distribution in this question). Report to 5 decimal positions

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For the population, the mean and the standard deviation are, respectively, given by [tex]\mu = 20, \sigma = 7[/tex].

For samples of n = 10, the standard error is given by:

[tex]s = \frac{7}{\sqrt{10}} = 2.2136[/tex]

The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18 - 20}{2.2136}[/tex]

Z = -0.9.

Z = -0.9 has a p-value of 0.18406.

0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

These numbers are multiples of __________.
4, 8, 16, 24
A) 3
B) 4
C) 5
D) 6

Answers

Answer:

4

Step-by-step explanation:

All these numbers multiply by 4

Answer:

The answer is B.

Step-by-step explanation:

4÷4=1

8÷4=2

16÷4=4

24÷4=6

1. Tom rides his bike 6_1/4 miles round trip to work. He works 2 days each
week. How far will Tom ride his bike to and from work in 5 weeks?
⚫️31_1/4 miles
⚫️62_1/2 miles
⚫️12_1/2 miles
⚫️62 miles

Answers

Answer:

B. 62 1/2

Step-by-step explanation:

I need the answer to this quick pls​

Answers

Answer:

Option A

Step-by-step explanation:

The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,

[tex]\bf Median = \dfrac{a +b}{2}[/tex]

Here, a and b are the base (parallel sides)

a = 13 inches & b = 19 inches

[tex]\bf Median = \dfrac{13+19}{2}[/tex]

              [tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]


A car dealership sold 212 cars in 4 months. At what rate did the dealership sell cars in cars per month?

Answers

Answer: 59 cars per month

Step-by-step explanation:

Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 Coin heads H-1 H-2 H-3 H-5 H-6 tails T-1 T-3 T-4 T-5 The size of the sample space is .

Answers

The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin.

The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

tails T-1 T-3 T-4 T-5

Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ5

Answer:

hope this works for you

Step-by-step explanation:

A relief worker needs to divide 1350 bottles of water and 144 cans of food into boxes that each contain the same number of items.​ Also, each box must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ box?

Answers

The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

How to find highest common factor

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

The highest common factor of 1350 and 144 is 18

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

Learn more about highest common factor:

https://brainly.com/question/120215

What is the product?
48+ 2 K-2
24 2+1
4
O2k+1
2
K-2
2
2641
2
R+2

Answers

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Simplify the expression and you will get this.

hope this helps

Please Help ASAP (show work if you want its not needed i just need the answer)

Answers

[tex] \cos(60) = \frac{12}{x} \\ [/tex]

[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]

[tex]x = 24[/tex]

_____________________________________________

[tex] \sin(60) = \frac{y}{x} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]

[tex]y = 12 \sqrt{3} [/tex]

Solve for the b 4 ( b + 5 )- 2b = 100

Answers

4 ( b + 5 )- 2b = 100

____________________

B  =  40

Answer:

[tex]\tt b=40[/tex]

Step-by-step explanation:

[tex]\tt 4 ( b + 5 )- 2b = 100[/tex]

[tex]\bf Expand\; (Apply\; Distributions\; Law) :-[/tex]

[tex]\tt 2b+20=100[/tex]

[tex]\tt 2b+20-20=100-20\;\; (Subtract \;20\; from\; both \;sides)[/tex]

[tex]\tt 2b=80[/tex]  [tex]\tt (Simplify)[/tex]

[tex]\tt \cfrac{2b}{2}=\cfrac{80}{2}\;\;( Divide\; both \;sides\: by\; 2)[/tex]

[tex]\tt b=40[/tex]

~

Joey has completed a portion of his weekend chores. This portion is represented by the point on the number line below. What percentage is represented by the point on the number line?

A. 12.5%
B. 60%
C. 75%
D. 80%

Answers

Answer:

C - 75%

Step-by-step explanation:

6/8 = 75%

* PLEASE HELP ME SOLVE THIS PROBLEM I WILL GIVE BRAINIEST*
2. Change from dog/cat to tails/heads.
DDC = ________
CDC= _________
DCD = ________
CCD = _________
DDD = _________
CCC = _________
DCC = _________
CDD = _________
please help :))

Answers

Answer:

Tails Tails Heads

Heads Tails Heads

Tails Heads Tails

Heads Heads Tails

Tails Tails Tails

Heads Heads Heads

Tails Tails heads

Heads Tails Tails

------------------------------------------------——------------------------------------------------------

Thanks!

Always keep more than 2 smiles so that you can share it to someone who doesn't have one. You happy! Me happy! EVERYONE HAPPY!!!!

Have a great day!

:D

Gabrielle’s age is two time Mikhaïl’s age. The sum of their ages is 27. What is Mikhail’s age?

Answers

Mikhail is 9

Step-by-step explanation:

Divide 27 by 3 because G is 2 times than Mik. So G=2 Mik=1. and 27 divided 3 is 9

in the figure d||m. what is the value of x?

Answers

Step-by-step explanation:

2X - 20 =86 ( Alternate angles are equal)

2X = 86 - 20

2X = 66

X = 33

The coldest temperature recorded on the surface of a planet was - 248 Celsius is the warmest temperature recorded on the surface of the planet was 108 Celsius what are the correspondence temperatures in degrees Fahrenheit

Answers

Answer:

-414.4 F° and 226.4 F°

hope it helps

If 12Kg of chicken feed cost 20 how much would 5kg cost?
and what is the unit rate? ( price per 1 kg)

Answers

Step-by-step explanation:

if you 12kg cost 20 what about 5kg that will be 5kg×20÷12kg= 8.33 when you round of to the nearest hundredth this is the price of 5kg

sorry but i dont think i know how to answer the other question i have done what i only know thankyou

Which is the inverse of the function f(x) = 4x − 9?

Answers

Step-by-step explanation:

x and y trade places.

f(x) = y = 4x - 9

y + 9 = 4x

x = (y + 9)/4

and to make it a true function notation, we need to rename x to y and vice versa and get

y = (x + 9)/4

Please help me i need help!!!

Answers

Answer:

sorry cant help with that

Step-by-step explanation:

[tex] \rm \int_{0}^2 \left( \sqrt[3]{ {x}^{2} + 2x} + \sqrt{1 + {x}^3 } \right )dx \\ [/tex]​

Answers

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

[tex]\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx[/tex]

Let [tex]f(x) = \sqrt{1 + x^3}[/tex]. Compute the inverse:

[tex]f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}[/tex]

and we immediately notice that [tex]f^{-1}(x+1)=\sqrt[3]{x^2+2x}[/tex].

So, we can write the given integral as

[tex]\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx[/tex]

Splitting up terms and replacing [tex]x \to x-1[/tex] in the first integral, we get

[tex]\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}[/tex]

The equation is:

Answer: the number of labor was :

Answers

Answer:

equation: 1368 = 380 +52xlabor hours: 19

Step-by-step explanation:

The desired equation will relate labor cost, parts cost, and total cost.

A.

The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.

  total cost = part cost + (labor rate)(labor hours)

  1368 = 380 + 52x

__

B.

This equation can be solved in 2 steps:

  988 = 52x . . . . . . . step 1, subtract 380 from both sides

  19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x

The number of labor hours was 19.

Jessica sells 50.5 ounces of lemonade for a total of 20.20.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.

Answers

Answer:

2.5

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation: do it yourself jk lol first you add then divide by 6.5

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