Jim will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $ 59 and costs an additional$0.13 per mile driven. The second plan has an initial fee of $46 and costs an additional 0.17 per mile driven.

Answers

Answer 1

Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=38+0.11X

Plan II: Y=49+0.07X

When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25

Step-by-step explanation:


Related Questions

3 8 of your income is spent on your monthly bills, 2 5 is spent on food and clothing and 1 10 goes on entertainment. You put the remainder of your monthly income into savings.

Answers

Answer:

Fraction of saving = 1/8

Step-by-step explanation:

Given:

Spent on bills = 3/8

Spend on food = 2/5

Spend on entertainment = 1/10

Find:

Fraction of saving

Computation:

Fraction of saving = 1 - Spent on bills - Spend on food - Spend on entertainment

Fraction of saving = 1 - 3/8 - 2/5 - 1/10

By taking LCM

Fraction of saving = [40 - 15 - 16 - 4]/40

Fraction of saving = [5]/40

Fraction of saving = 1/8

A local florist charges $15 for delivery plus $2.75 per flower for all flower arrangements. When Marcus got the bill for a flower arrangement he ordered, it was less than $50. Which of the following could not represent the number of flowers in the arrangement Marcus ordered?

Answers

Answer:

Step-by-step explanation:

Step one:

given

All Charges

$15 for delivery

and $2.75 per flower

let the number of flowers delivered be x

and the total charges for x flowers be y

the linear function for the total charges is

y=2.75x+15

Step two:

when y=$50

50=2.75x+15

50-15=2.75x

35=2.75x

divide both sides by 2.75

x=35/2.75

x=12.72

Note: we are not given the options. We only solved for the flower arrangements

Therefore the number of flowers in the arrangement Marcus ordered

is 12.72 flowers

Moira is a teacher, and she drives to school and back every day from her home. It is 32 miles from her home to work.

How far does Moira drive roundtrip in 5 work days?

Answers

Answer:

Here is the answer 160 miles

Step-by-step explanation:

If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320

The volume of a fish tank is given by the function V (x) = (x + 7) (1-4) (2x + 3). Write a function describing a fish tank that has the same height but is
longer in length by 3 units and wider by 2 units.

Answers

Answer:

V(x)=(x+9) * (3) * (2x + 6)

Step-by-step explanation:

A fish tank is usually made in the shape of a 3-Dimensional rectangular prism. The volume of this shape can be obtained by using the following formula

V = w * h * l

in this formula w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (3) * (2x + 6)

Find the slope of the line.
Help!

Answers

Answer:

if the line is the blue one the answer is y=0

Step-by-step explanation:

Each lap around the park is 0.58 mile. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?

Answers

Answer:

5 miles but she did walk part of another mile so that would be 5.35.

Step-by-step explanation:

you can take 3.25 and subtract that by 0.58 until you can't do it anymore. Also I didn't know if you wanted the exact amount which would be 5.35 but total miles is only 5. Hope this helps!

I need help real quick!!!!!!1

Answers

Answer:

1. 9

2. 8

3. 16

4. 20

5. 27

6. 6

7. 54

8. 70

9. 24

10. 20

11. 15

12. 42

13. 25

14. 44

15. 28

16. 66

17. 36

18. 60

19. 16

20. 9

21. 18

22. 30

23. 4

24. 9

25. <

26. >

27. <

28. =

29. >

30. =

31. >

32. <

Step-by-step explanation:

Math

Can i have brainliest?

(A U B) n (A n B)
A= {1,3,7,9,10}
B= {2,5,7,8,9,10}​

Answers

Answer:

{7,9,10}

Step-by-step explanation:

(A U B) ∩ (A ∩ B)

(A U B): {1,3,7,9,10} U {2,5,7,8,9,10}​ = {1,2,3,5,7,8,9,10}

(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10}​ = {7,9,10}

(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}

Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).

Answers

Answer:

we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

Step-by-step explanation:

As Misty determined the equation of linear function:

[tex]y=-2x+9[/tex]

We need to check whether she has got the correct equation or not.

As the linear equation passes through the points  [tex](1, 7)[/tex] and [tex](2, 5)[/tex].

Finding the slope:

The slope between two points  [tex](1, 7)[/tex] and [tex](2, 5)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right)[/tex]

[tex]m=\frac{5-7}{2-1}[/tex]

[tex]m=-2[/tex]

As we know the point-slope form is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

So, the equation of the line will be:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=-2\left(x-2\right)[/tex]

Add 5 to both sides

[tex]y-5+5=-2\left(x-2\right)+5[/tex]

[tex]y=-2x+9[/tex]

From the above calculation, we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the dimensions of the room, he tells you the dimensions in rational expressions. The length of the room is fraction numerator x squared minus x minus 6 over denominator x minus 5 end fractionand the width of the room is fraction numerator x squared minus 6 x plus 5 over denominator x plus 2 end fraction. What is the area of the room in terms of x? How much carpet do you need if x = 10?

Answers

Answer:

[tex]x^2-4x+3[/tex]

[tex]63\ \text{sq. units}[/tex]

Step-by-step explanation:

l = Length = [tex]\dfrac{x^2-x-6}{x-5}[/tex]

w = Width = [tex]\dfrac{x^2-6x+5}{x+2}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3[/tex]

Area of the room is [tex]x^2-4x+3[/tex].

If [tex]x=10[/tex]

Area of the room

[tex]A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}[/tex]

So, the amount of carpet needed would be [tex]63\ \text{sq. units}[/tex].

If a1=5 and an= -5an-1 then find the value of a5.



Answers

Answer:

The value of a5 is 3125

Step-by-step explanation:

Recursive Sequence

It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.

The sequence is given as:

[tex]a_1=5[/tex]

[tex]a_n=-5a_{n-1}[/tex]

To find the value of a5, we need to find the previous terms first:

[tex]a_2=-5a_{1}=-5*5=-25[/tex]

[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]

[tex]a_4=-5a_{3}=-5*125=-625[/tex]

[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]

The value of a5 is 3125

Task 3

please pa answer na po ngayun (个_个)

Directions: Find the quotient.

1) 75.36 ÷ 0.24 =

2) 1.536 ÷ 0.3 =

3) 6.705 ÷ 0.45 = =

4) 1.875 ÷ 0.05 =

5) 6.048 ÷ 0.8 =

Task 4

Directions: Find the quotient.

1) 1.6 5.136 2) 2.8 7.364

4) 4.8 83.52

3) 3.6 65.52

5) 5.6 3.136​

Answers

Answer:

eue8whiwhwihdhd123456789101122334

Part A). Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Part B). Emily answer 4 questions correctly and 11 incorrectly in the first round what was her score in the first round? Emily answer'd 7 questions correct and 8 incorrect in the second round what was her score in the second round.

Answers

Answer

A. -30 points

B. 60 points

Step-by-step explanation:

20 points for correct answer and 10 points deducted for wrong answer

Each deduction is -10 while each correct answer gives + 20

4 questions correctly and 11 incorrectly

= 4(20) + 11(-10)

= 80-110 = -30 points

Second round

7 correct, 8 incorrect

= 7(20) - 8(10)

= 140-80 = 60 points

x ÷ 9 = 4
plz help fast

Answers

Answer:

36

Step-by-step explanation:

transpose

x= 4×9

x= 36

Answer:

x = 36

Step-by-step explanation:

If we were to switch around the equation to multiplication, we would have 9 x 4 or 4 x 9 which is 36.

En la regla de la potencia, durante el proceso de integración, se ________ 1 al exponente, mientras que en la derivación se ________ 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa ________. Al último, agregamos la letra c, que significa constante" *

Answers

Answer:

a) adiciona, b) sustrae, c) multiplicando.

Step-by-step explanation:

A continuación, presentamos la respuesta correcta al ejercicio citado:

En la regla de la potencia, durante el proceso de integración, se adiciona 1 al exponente, mientras que en la derivación se sustrae 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa multiplicando. Al último, agregamos la letra C, que significa constante.

Razones

Derivación de una función potencial:

[tex]\frac{d}{dx}(x^{n}) = n\cdot x^{n-1}, n\ne 0[/tex]

Integración de una función potencial:

[tex]\int {x^{n}} \, dx = \frac{x^{n+1}}{n+1}+C,x\ne -1[/tex]


Find the sum of 2.005, 35.7 and 406​

Answers

Answer:

443.705

Step-by-step explanation:

443.705 is the sum of numbers

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. FX) 1.05x; $115.50
B. f(x) = 0.05x; $5.50
C. FX) 5 + x;$111.05
D. f(x) = x - 5; $108.95

Answers

Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

Find the slope of the line that contains the following ordered pairs. Show all work.
8.
(18,-7) and ( 18, 2)
Formula:
Slope:

Answers

Answer:

see below

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)                 <=== formula

         = (2 - (-7)) / (18 - 18)

         = 9 / 0

         = 0                                         <=== slope


22. The cost of renting a pickup truck at Company A is $25 plus 15 cents per mile driven. The cost ol
Renting a truck at Company B is $25 plus 10 cents per mile driven. In the graph of the cost of a
Truck rental, what does the cost per mile driven represent?

A The point of intersection

B The y-intercept

C The x-intercept

D The slope

Answers

Answer:

D. The slope

Step-by-step explanation:

0.15 = 3/20

0.10 = 1/10

Given:

  company A:    y = 3/20x + 25

  company B:    y = 1/10x + 25

y = mx + b

m is slope

b is y-intercept


Solve for the variable
10 + 25a = 75





Please help

Answers

Answer:

a = 2.6

Step-by-step explanation:

10 + 25a = 75

- 10.             - 10

25a = 65

÷25.     ÷25

a = 2.6

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:13/5  or 2.6

Step-by-step explanation:

What are some other ways the answer can be determined ( other than Multiplication)

Will mark and 5 STARS, THANKS

Answers

By dividing I think

A basketball player made 81 out of 100 attempted free throws. What percent of free throws was​ made?

Answers

Answer:

81%

Step-by-step explanation:

81 out of 100 is 0.81, which is 81%

Hope this helps plz mark brainliest if correct :D

Answer:

0.800

Step-by-step explanation:

Hope it Helps

I’ll give the brainliest if you help meeeee

Answers


A) 4-1 would change to 4+(-1)
B) -8-(-3) would change to -8+3

A) 3
B) -5

Help is Geometry find x​

Answers

Answer:

x=64

Step-by-step explanation: because the sides are both the same so do 128/2 which equals 64 so x=64

The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 2 miles?

Answers

Answer:

1.5 inches

Step-by-step explanation:

half of four miles so half of 3 inches

It would be 1.5 miles then I’m pretty sure

What is the distance between A and B? Round your answer to the nearest tenth.

Answers

Answer:

6.4

Step-by-step explanation:

Just plug in the distance formula.

(4+1)^2+(1-5)^2

(5)^2+(-4)^

25+16

41

(square root 41) and get 6.4

Jason and Bailey found a venue for their wedding. The venue requires a $500 deposit to hold the venue for a certain date. If this was 10% of the cost of the venue, how much will Jason and Bailey pay for the venue?

Answers

Answer:

$5,000

Step-by-step explanation:

Step one:

given

initial deposite= $500

10% of the venue is $500

let the cost of the venue be x

Required

cost of the venue

10/100*x=500

0.1x=500

divide both sides by 0.1

x=500/0.1

x=$5000

Therefore the cost of the venue is $5,000

Find the slope of the line between (-7, -2) and (9, 4)
A, B, C, or D?

A) M=-3/8

B) M=3/8

C) M=6/17

D) M=2/5

Answers

Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

oh ma goawd he on x gaems mode

Fifteen billiard balls are numbered 1 to 15. One billiard ball is selected at random. Determine the odds for and the odds against for (6 Points) a) selecting the number 7 b) selecting a number greater than 10

Answers

Answer:

Odds for & against selecting number 7 = 1/14 & 14

Odds for & against selecting number more than 10 = 4/11 & 11/4

Step-by-step explanation:

Odds for event = Prob (event) / Prob (no event)

Odds against event = Prob (no event) / Prob (event)

Odds for selecting number 7

Prob (No. 7 chosen) = 1/15 , Prob (No. 7 not chosen) = 14/15

Odds for number 7 = (1/15) ÷ (14/15) = 1/14

Odds against number 7 = (14 / 15) ÷ (1/15) = 14

Odds for selecting number > 10

Prob (No. > 10 chosen) = 4 / 15  , Prob (No. > 10 not chosen) = 11/15

Odds for No. > 10 = (4/15) ÷ (11/15) = 4/11

Odds against No. > 10 = (11/15) ÷  (4/15) = 11/4

Evaluate 7 to the power of 2 pls help

Answers

Answer:

49

Step-by-step explanation:

Whenever you power something, you are just multiplying that number by itself amount of times you are powering

7 to the power of 2 is 7² = 49

The power (or exponent) of a number define how many times to use the number in a multiplication.

It is written as like a small number to the right and above the base number.

In this example the little "2" says to use 8 two times in a multiplication: 82 = 8 × 8 = 64.

To evaluate 7 to the power of 2.

7² = 7 × 7 = 49

Therefore, 7 to the power of 2 is 49.

Learn more about power here:

https://brainly.com/question/32651264

#SPJ6

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