You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?

Select the correct choice below and fill in the answer box to complete your choice

A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is

(Simplify your answer. Do not include the $ symbol in your answer)

B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist

(Simplify your answer. Do not include the 5 symbol in your answer.)

minutes can be rented for $26

(Round to the nearest minute as needed)

A linear model

reasonable for this situation

Answers

Answer 1

Answer:

(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t +8

The time that can be rented for $26 = 1min

Step-by-step explanation:

Based on the information given:

Setup charge on Rent at local copy center = $9

an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.

For every 5min = $150

For 1 min = $150/5

For t min = 150t/5

Where t = number of minutes of rental time

Rental cost = set up charge + additional cost

Let Rental cost = R(t)

R(t) = 9 + 150t/5

Writing it in form of a linear equation: y = mx + c

R(t) = 150t/5 +9

R(t) = (150/5) ×t + 9

R(t) = 30t + 9

The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t + 9

The time that can be rented for $26:

Rental cost = $26

R(t) = 30t +9

26 = 30t +9

26-9 = 30t

17 = 30t

t = 17/30 = 0.57

t is approximately = 1min (nearest minute)

The time that can be rented for $26 = 1min


Related Questions

Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?

1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours

Answers

Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles

Step-by-step explanation:

The number of newly reported crime cases in a county in New York State is shown in
the accompanying table, where x represents the number of years since 2001, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, find the projected number of new cases for 2013, rounded to the nearest
whole number.​

Answers

The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

The projected number of new cases for 2013 is 1352.

Given that,

The number of newly reported crime cases in a county in New York State is shown in  the accompanying table,

Where x represents the number of years since 2001, and y  represents number of new cases.

We have to determine,

The linear regression equation that represents  this set of data.

And Using this  equation, find the projected number of new cases for 2013.

According to the question,

The line of best-fit is given by:

[tex]y = bx+a[/tex]

Assume [tex]y = kx + b[/tex]

And,

[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]

Then, pass from the point (3, 1158),

[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]

Then ,

The projected number of new cases -  the number of years since 2001

[tex]= 2013-2001 \\\\= 12[/tex]

Therefore,

[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]

Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

And The projected number of new cases for 2013 is 1352.

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The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +

Answers

Answer:

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

[tex]\frac{15x² + x + 2}{x²} = B

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Answer: c

Step-by-step explanation:

Suppose the manager of a restaurant in a commercial building has determined that the proportion of customers who drink tea is 24%. Based on a random sample of 300 customers, what is the standard error for the sampling distribution of the sample proportion of tea drinkers?

Answers

Answer:

0.427

Step-by-step explanation:

Standard error for the sampling distribution refers to the standard deviation of the samples taken from a population. The standard error equals the standard deviation divided by the square root of the sample size

The probability of customers who drink tea (p) = 24% = 0.24, the sample size of customers (n) = 300.

Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] where σ is the standard deviation.

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Standard error = [tex]\frac{\sigma}{\sqrt{n} }= \frac{\sqrt{np(1-p)} }{\sqrt{n} } =\sqrt{\frac{np(1-p)}{n} } =\sqrt{p(1-p)}=\sqrt{0.24(1-0.24)} =0.427[/tex]

Please help me asap!

Answers

Answer:

x value is 10 as per as the question its value is 10

Appendix
Fofit and Loss
man bought 10 bags for Rs 5,000. He sold 7 bags at Rs 550 each and the remaining
bags at the rate of cost price. Find his profit percent.​

Answers

I don’t know this I’m clueless I need points but good luck

factorise 6 x ^2 + 17 X + 5​

Answers

Answer:

( 3x + 1) (2x+5)

Step-by-step explanation:

6 x ^2 + 17 X + 5​

We break the 6 into 3 and 2

(3x    ) (2x   )

We need the middle term to be 17

( 3x + 1) (2x+5)

3*5+2 = 17 so it works

(3x+1)(2x+5)
So it works

VX
What is the value of x in the equation below?
-3-(-8)-(-2)
4-13

Answers

Answer: 0

I didn't see an 'x' so I was very confused but I simplified and got "0"

The answer to your question is 0

RESUELVE EL SIGUINTE PORBLEMA En la escuela "Soy Feliz porque soy diverso", hay 230 estudiantes en total. De estos, 35 son mujeres. a) ¿Cuántos son hombres? b) ¿Qué parte del total de los estudiantes son hombres? 2. María se ha gastado 13 del dinero que le dieron de paga sus abuelitos en comprar un libro de aventuras. También se ha gastado 29 de la paga en comprar una cartuchera. ¿Qué fracción de su paga se ha gastado María? Datos: Libro de aventuras = 13 Cartuchera = 29 Solución: 13+ 29=3+29= 59

Answers

Answer:

1) a. 195 are males

b. Males are the 85 %

2) 1/2

Step-by-step explanation:

Number of all the students: 230

35 are females

x are males

Then 35 + x = 230

x = 230 - 35 → 195

To determine the amount of males, from the total we apply the percent.

Percent = (Amount of males / Total of students) . 100

% = (195 / 230) . 100 = 85 %

2. In first place, Maria spent 13 for the book.

In second place, Maria spent 29 for the pencil box.

In total, she has spent 13+29 = 42

But, how many dolars have the grandpa gave to her?.

We can also apply percent and fractions, where:

(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1

13 + 29 + x = T

13/T + 29/T + x/T = 1, in conclussion x = 42

Total of money given = 84

Then, Maria has not spent the half of money→ 1/2

Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4.2^8

Answers

Answer:

You can't use this rule because the two exponents have different bases. In order to use this rule the two exponents must have the same base.

Answer:

It is because both expressions have different base value. For this question, the bases are 3 and 2 where the product rule cannot be applied. Product rule can only be used when both expressions have the same bases.

First, tell whether each decimal is a fraction or a mixed number.
Then, write it in simplest form. 0.85​

Answers

Answer:

Proper fraction.

Step-by-step explanation:

[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]

Select all the equations where a=8 is a solution.
Choose 3 answers:



A
a+11=15


B
1=8÷a


C
15+a=23


D
42=7a

E
a-5=3

Answers

Answer:

B,C, E

Step-by-step explanation:

A

a+11=15

8+11 = 19

false

B

1=8÷a

1 = 8÷8

1=1  true

C

15+a=23

15+8 = 23

23 = 23

true

D

42=7a

42 = 7*8

42 = 56

false

E

a-5=3

8-5 = 3

3=3 true

plz try your best do not quess

Answers

Answer:

43 2/5

Step-by-step explanation:

change each of the mixed fractions to improper fraction.

-11  2/3 = -31/3

-4 1/5 = -21/5.

Multiply them now:

-31/3 x -21/5 = 651/15

Then turn 651/15 to a mixed fraction because the question was in mixed fractions:

43 6/15 = 43 2/5 (simplified)

Please mark brainiest

What are the x- and y-intercepts of the graph of 5x – 4y = –20?

x-int: 5, y-int: –4

x-int: –5, y-int: 4

x-int: –4, y-int: 5

x-int: 4, y-int: –5

Answers

X-intercept is -4 and the Y-intercept is 5

please answer asap the photo is below

Answers

Answer: 1; -5

Step-by-step explanation:

For this problem, we are asked to find the slope and y-intercept.

We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.

To find the slope, we would use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.

[tex]m=\frac{0-(-5)}{5-0} =\frac{5}{5} =1[/tex]

From our formula, we found that the slope is 1.

For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.

Answer:

y = x - 5

Step-by-step explanation:

One can immediately read off the slope, m, from the graph:  m = 5 / 5 = 1.

The y-intercept is (0, -5).

In slope-intercept form the equation of this graph is y = x - 5

What is the square root of -1?

Answers

The square root of -1 “i”

What additional piece of information must be known in order to calculate the volume of the cylinder below?

A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base

Answers

U also need to know the height of the cylinder

The formula for the volume of a cylinder is V= pi * r^2 * h

Answer:

height of the cylinder

Step-by-step explanation:

For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.
Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make?

Answers

Yu is a hdyduriwiwiriri

the are of one of the bases of the figure shown above is about 21.2 cm sq. What is the surface area, in cm sq, of the figure? round your answer to the nearest tenth 9,7,7,7 cm

Answers

Answer:

105.4

Step-by-step explanation:

I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4

The surface area is 105.4 square centimeters.

What is surface area?

A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.

what are surface area examples?

The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.

Learn more about the surface area here https://brainly.com/question/76387

#SPJ2

Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45

Answers

Answer:

30

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30

9x+18=-20

what does X =

Answers

Answer:

x=-4.22222

The 2 is repeating

Step-by-step explanation:

First you subtract 18 from both sides

9x=--38

Then divide both sides by 9

x=-4.22222

The 2 is repeating

AnsWER

X=-2/9

Step-by-step explanation:

9X=-20-18

9X=you will divide both sides by -9

X=-2/9

Angle Measures and Segment Lengths - Find the value of y - WILL GIVE BRAINLIEST!

Answers

Answer:

4.3 cm

Step-by-step explanation:

By the theorem of intersecting secants outside of a circle.

[tex]3 \times (y + 3) = 2 \times (2 + 6 + 3) \\ 3(y + 3) = 2 \times 11 \\ 3y + 9 = 22 \\ 3y = 22 - 9 \\ 3y = 13 \\ y = \frac{13}{3} \\ y = 4.3 \: cm[/tex]

What is the volume of box B?

Answers

Answer:

Answer:  The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..

Step-by-step explanation:

is this the answer you were looking for

Is the following shape a rectangle

Answers

Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

PLEASE HELP ME IM BAD AT GEO! URGENT

Answers

Answer:

SSS

Step-by-step explanation:

Given that the sides are equal and no angles are given

Answer:

A: SSS

Step-by-step explanation:

We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.

Given the regular octagon, what is the length of any side?

Answers

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

Answer:

110

Step-by-step explanation:

In a regular polygon, each side has the same length.

Therefore we have the equation:

[tex]x^2+17x=15x+35[/tex]

We must specify the domain:

[tex]x^2+17x>0\ \wedge\ 15x+35>0\\\\x(x+17)>0\ \wedge\ 15x>-35\\\\(x<-17\ \vee\ x>0)\ \wedge\ x>-\dfrac{7}{3}\Rightarrow x>0[/tex]

[tex]x^2+17x=15x+35\qquad\text{subtract}\ 15x\ \text{from both sides}\\\\x^2+17x-15x=15x-15x+35\\\\x^2+2x=35\qquad\text{add 1 to both sides}\\\\x^2+2x+1=35+1\\\\x^2+2(x)(1)+1^2=36\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1)^2=36\to x+1=\pm\sqrt{36}\\\\x+1=\pm6\qquad\text{subtract 1 from both sides}\\\\x+1-1=\pm6-1\\\\x=-7\ \vee\ x=5[/tex]

[tex]x<-7\notin\text{domain};\ x=5\in\text{domain}[/tex]

The length of a side:

[tex]x^2+17x=5^2+17(5)=25+85=110\\\\15x+35=15(5)+35=75+35=110[/tex]

Figure WXYZ is transformed using the rule. Point W of the pre-image is at (1, 6)

Answers

Answer:

d. (3, 8)

Step-by-step explanation:

the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates

You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?

Answers

Answer:

-10 because you lost twice more than you won.

Hope this helps!

Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw

Answers

Answer: 27

Step-by-step explanation:

111/4= 27.75

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Find m∠HIJ if m∠HIQ=25x+1 and m∠QIJ= 100 ∘ and m∠HIJ=127x−1, What is HIJ?

Answers

HIJ= 128 degrees

Explanation:
127x - 1 = 100 + 25x + 1
127x - 1 = 101 + 25x
-25x -25x
102x - 1 = 101
+1 +1
102x = 102
/102 /102

x = 1
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