3. Miguel and his family are on vacation and notice an advertisement for a taxi service
that charges a fee of $12 to pick up a family and an additional fee of $0.55 per mile for
the trip. Write an equation that models this situation, using m to represent the number
of miles traveled and t to represent the total cost for the trip. Find the total cost of an
18 mile trip.
Student's Work
Student's Answer
A. t = 0.55m + 12; $21.90
B. t = 12m +0.55; $21.90
C. t = 0.55 + m + 12 $30.55
D. t = 0.55(12) + m; $24.60

Answers

Answer 1

Answer: The answer would be A : t=0.55m+12;$21.90

Answer 2

The equation that models the situation, using m to represent the number of miles traveled and t to represent the total cost for the trip is A. t = 0.55m + 12; and the total cost of an 18 mile trip is $21.90.

⇒ The correct answer is A. t = 0.55m + 12; $21.90

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

Cost of pick up = $12

Additional fee = $0.55 per mile

Now if,m represent the number of miles traveled and t to represent the total cost for the trip

Thus, Total additional fee = 0.55m

Total cost for the trip =  Total additional fee + Cost of pick up

⇒ t = 12 + 0.55m

This is the equation that models the situation.

Now  the total cost of an 18 mile trip, put m = 18 in the equation we get,

⇒ t = 12 + 0.55*18

⇒ t = 12 + 9.9

⇒ t = 21.9

Thus,the total cost of an 18 mile trip is $21.90.

The equation that models the situation, using m to represent the number of miles traveled and t to represent the total cost for the trip is A. t = 0.55m + 12; and the total cost of an 18 mile trip is $21.90.

Thus  the correct answer is A. t = 0.55m + 12; $21.90

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Related Questions

What is the truth value of the following statement? square root of 25 >- 5 or 3 grater than or equal to 3.

Answers

Answer:

the Square root of 25 = 5

Step-by-step explanation:

It's greater than -5 and greater than 3 by two.

Hopefully this helps.

-5 (-1 + 6)need help ​

Answers

Answer:

-25

Step-by-step explanation: When you multiply to negatives together you get a positive thus being shown in the problem -5 times -1 =5 then you multiply 6 times -5 and whenever you multiply a positive number by a negative you'll always get a negative number so 6 times -5 =-30 then you add 5 and -30 and you get -25. I hope this is right :D

Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.

Answers

Answer:

y = -2x + 22

Step-by-step explanation:

You fill an aquarium with water, the water is 22 inches deep. The water evaporates at 2 inches per week. Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.

Answer: The problem above represents that of a linear function. The equation of a linear function is given by:

y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the initial value of y when x = 0.

From the problem, the independent variable is the number of weeks and the dependent variable is the depth of water, hence y = depth of water and x = weeks after you fill it.

The rate = 2 inches per week, since it evaporates (decreases), hence m = rate of change = -2. Also, at 0 weeks (x = 0), the depth (y) = 22 inches, therefore b = 22. Using the equation for linear function, we get:

y = -2x + 22

m∠D=18°. Find the measure of the supplement of ∠D.

Answers

Answer:

162

Step-by-step explanation:

because

On the graph of the equation 3x + 2y = 18, wgat is the value of the y-intercept

Answers

The value of the y intercept is y=9

3x +2y = 18
3(0) + 2y = 18 (0)
18/2=9

Answer:

the answer is 9y

HELPP!! Jason and his parents reside in Florida and have a pre-paid college plan. They are
researching college options for Jason. What would keep education costs the lowest?

A money market account
A state university
A private school
A Roth IRA

Answers

Answer:

A money market account

Step-by-step explanation:

Most money market accounts can be opened for between $500 and $2,500 initially, and many will require the same amount for a minimum balance or you will pay penalties or maintenance fees. 5. Contact Banks that Meet Your Requirements.

Help me plz and can you show your work plz
I really need help it’s due today

Answers

For question 10 i wasn’t sure of the format in which you have to submit but i incorporated two.

evaluate the expression if x =6 and y =7. 3x+2y

Answers

ANSWER: 18 + 14

EXPLANATION: It says x =6 and y=7
And if number are rite next to each other with no symbol you always multiply so it would be 3 6 + 2 7 so 3x6=18 and 2x7=14 so it would be 18+14

The value of the expression 3x + 2y when x =6 and y =7 is 32.

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

As per the given expression, 3x + 2y

Put x = 6 and y = 7 as,

3(6) + 2(7) = 18 + 14 = 32

Hence "The value of the expression 3x + 2y when x =6 and y =7 is 32".

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What construction does the image below demonstrate? (1 point)

Answers

Answer:

The answer is "A regular hexagon inscribed in a circle" I also took the practice exam and got it right.

Oops I keep on commenting the answers instead of adding it in as an answer lol.

Decide whether the given ordered pair is a solution of the system.
x+y=5
X-y= 3
; (4,1)
Is the given ordered pair a solution to the given system?
A. Yes, because (4,1) makes both equations true.
B. No, because (4,1) makes neither equation true.
C. No, because (4,1) only makes the equation x + y = 5 true.
D. No, because (4,1) only makes the equation x-y = 3 true.

Answers

Answer:

A. it is true for both equations

Step-by-step explanation:

x = 4 and y = 1

sub these values into the equations

4 + 1 = 5

4 - 1 = 3

Solve for x.

5x - 6 = -46
Does any one know the answer?

Answers

Answer:

X= -8

Step-by-step explanation:

Subtract 6 on both sides

that leaves you with

5/5=-40/5 The 5s cancel out leaving you with -40/5 and -40 divided by 5 is -8

Answer:

x= -8

Step-by-step explanation:

5x - 6 = -46 original equation

5x = -40 added 6 to both sides

[tex]\frac{5x}{5} = \frac{-40}{5}[/tex] divide both sides by 5

x = -8 solution

1. Which equation results in this table of values?
Input (x)
1
3
5
10
Output (y)
3
7
11
21
O A. Output = Input + 2
O B. Output = 2 · Input + 2
O C. Output = 2 · Input +1
OD. 2. Input
Output + 1

Answers

Answer:

A,is the write answer .......

which is greater 5/6 or 1/3

Answers

5/6 is equal to 0.8333 while 1/3 is equal to 0.333

5/6 is greater

Answer:

1. >

2.<

3. =

4. >

5.>

6. =

7. >

8. <

9. =

10. <

11. <

12. =

13. 3/5, 2/3, 0.65

14. 7/8, 8/9, 0.98

15. 1/12, 0.2, 1/4

Step-by-step explanation:

How do you write 2x^3 + 2x^2 - 3 as a trinomial?

Answers

Answer: =

6x^2−5x−6

Step-by-step explanation:  Multiply each term in one expression times each term in the other, then simplify by combining like terms.  

Here are the like terms :  =(3x+2)(2x−3)=3x(2x+3x(−3)+2(2x)+2(−3)

                                               = 6x^2−9x+4x−6

                                                     =6x2−5x−6

What is the quotient? StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFraction

Answers

Answer:

  1/9

Step-by-step explanation:

The applicable rule of exponents is ...

  a^0 = 1 . . . . a ≠ 0

__

  [tex]\dfrac{(-3)^0}{(-3)^2}=\dfrac{1}{(-3)(-3)}=\boxed{\dfrac{1}{9}}[/tex]

Answer:

1/9

Step-by-step explanation:

A board is 12 feet long. If the board is divided into 12 equal sections, how long is each section?
A. 1 foot
B. 6 inches
C. 144 inches
D. 2 feet

Answers

The answer is A 1 foot

The sets B and F are given below.
B={1,2,4,6,7)
F=(-2,-1,1,5,6)
Find the union of B and F.
Find the intersection of B and F.
Write your answers using set notation in roster form).

Answers

Answer:

(BuF) = -2,-1,1,2,4,5,6,7

(BnF)= 6

-3а- 8+2а = 13

How do you solve this (like terms)

Answers

combine -3a+2a which = -a-8=13 then +8, which is -a=21

Answer:

a = -21

Step-by-step explanation:

-3a +2a -8 = 13

- a-8 = 13

-a -8 -13 = 0 ( the sign changes from +13 to -13 )

-8 -13 = a ( the sign of a changes from -a to + a ) -21 = a

Follow me!

What is the answer to -3 + 2 =

Answers

-1 thats youre answer

Answer:

-1

Step-by-step explanation:

when adding a negative and a positive you can turn it to subtraction if it makes it easier for you.

-3+2=2-3

2-3=-1

-3+2=-1

make sense?

A computer has a list price of $1,200. It is on sale for 30% off list. What is
the sale price of the computer?
) )
A $840
B $800
C) $720
D $360

Answers

Answer:

a 840$

Step-by-step explanation:

bcuz

marked price = $1200

discount % = 30%

selling price = ?

so,

SP = MP - D% of MP

= $1200 - 30% × 1200

= $1200 - 360

= $840

solve for b^2
a^2+b^2=c^2

Answers

Answer:

here the answer b^2=c^2-a^2

Step-by-step explanation:

a^2+b^2=c^2

let a^2 comes to the other side

b^2=c^2-a^2

mark me as brainliest plllyyzz

The perimeter of a chalkboard is 16 feet. The area is 15 square feet. What are the dimensions of the board

Answers

Answer:

5 by 3

Explanation:

15 = 5 x 3

16 = 5 + 5 + 3 + 3

The dimensions of the board is either 5 by 3 square inches or 3 by 5 square inches.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,
let the length of the board be x, and width be w,
The perimeter of the rectangle board  = 16
2 (l + w) = 16
l + w = 8
l = 8 - w

Now,
area of the board = 15
l × w = 15
(8 - w)w = 15
8w - w² = 15
w² -8w + 15 =0
(w - 3)(w -5) = 0
So,
w = 3 or 5
Now,
Lengths = 8 - 3 or 8 - 5
              =  5 or 3

Thus, the dimension of the board either 5 by 3 square inches or 3 by 5 square inches.

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A chicken farmer also has cows for a total of 30 animals, and the animals have 66 legs in all. How many chickens does the farmer have?

Answers

Answer:

27 chickens

Step-by-step explanation:

A chicken farmer also has cows for a total of 30 animals

Both animals have a total of 66 legs

Let a represent the number of chicken

Let b represent the number of cows

a + b= 30........equation 1

Since a chicken has only two legs and a cow has four leg then, the expression can be represented as

2a + 4b= 66........equation 2

From equation 1

a + b= 30

a = 30-b

Substitute 30-b for a in equation 2

2a + 4b= 66

2(30-b) + 4b= 66

60 - 2b + 4b= 66

60 + 2b= 66

2b= 66-60

2b= 6

b= 6/2

b= 3

Substitute 3 for b in equation 1

a + b = 30

a + 3=30

a= 30-3

a= 27

Hence the farmer has 27 chickens

Evaluate: n + 52 for n=3

Answers

Answer:

55

Step-by-step explanation:

We replace 3 for n:

3 + 52 = 55

what is 752988 rounded to the nearest thosand And 23081 rounded to the nearest ten thosand?

Answers

it would be 753000 and 20000

Which of the following is proper notation to describe the set of all letters in the alphabet?

{a, b, c, . . ., z}
(a, b, c, etc.)
a through z
none of the above

Answers

I think the third option is correct

find an equation in slope-intercept forma for the línea with slope -12 and y-intercept=1/2​

Answers

Answer:

Option D

Step-by-step explanation:

Slope intercept is:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept.

The slope in the question is -12. The y-intercept is 1/2.

Plug in the values:

[tex]y=mx+b\rightarrow \boxed{y=-12x+\frac{1}{2}}[/tex]

Hope this helps.

Answer:

Slope-intercept form:

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

Step-by-step explanation:

-Since you already have the slope and the y-intercept, all you need is to apply them to a slope-intercept form:

Slope: [tex]-12[/tex]

y-intercept: [tex]\frac{1}{2}[/tex]

-Slope-intercept equation:

[tex]y = mx + b[/tex]

(where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept)

-Applying to slope-intercept form:

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

And were done.

Maria is starting a small business selling flowers. She has to pay $150 for a vendor’s permit. Each bouquet cost her $7 and she sells them for $15. How many bouquets must Maria sell to break even?

Answers

Answer:

18.75

Step-by-step explanation:

might not be 100% right

Evaluate the expression for the given value of the variable X-3/10 for x= 3/7

Answers

Answer:

9/70

Step-by-step explanation:

X-3/10 for x= 3/7

3/7-3/10

9/70

PLEASE HELP AS SOON AS POSSIBLE! LOOK AT THE IMAGE BELOW

Answers

Answer:

The answer is 50 squared.

Explanation:

This number is the only irrational number given.

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