1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weqwewe [10]
3 years ago
12

A taxi charges a flat rate of $3.00, plus an additional

Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0

Answer:

Sample Response: Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 < 10,="" in="" which="">x is the number of miles. To solve, first subtract 3 from each side, then divide each side by 0.5. The solution is x < 14.="" carl="" can="" travel="" less="" than="" 14="" miles,="" but="" he="" lives="" 15="" miles="" away,="" so="" he="" will="" take="" a="" bus,="" not="" the="">

solmaris [256]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

The cost of the taxi is the sum of two costs:

<em>the fixed fee of $3.00</em> and <em>the $0.50 per mile</em>.

Let x = number of miles.

For x miles, the mile cost is 0.5x

The total cost is $3.00 plus 0.5x

Total cost: 0.5x + 3

We want the total cost to be under $10, so the sum of the two costs must be less than 10.

The inequality is:

0.5x + 3 < 10

Subtract 3 from both sides.

0.5x < 7

Divide both sides by 0.5

x < 14

The cost is under $10 if the distance is under 14 miles.

Since the distance here is 15 miles, the cost of the taxi is over $10, and Carl will take the bus.

You might be interested in
HELP PLEASE <br><br>must show work<br><br>​
Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

__

b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

__

c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

__

d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

__

e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

5 0
3 years ago
Please help asap!! Due today!
Gwar [14]

Answer:

No for the first

Step-by-step explanation:

Sorry i do not know the second one bt the first one is No it is not a right angle

5 0
2 years ago
What is the measure of angle x? need help asap <br>​
Blizzard [7]

Answer:

83! :)

Step-by-step explanation:

It all equals 180.

So,

53+44+?=180

180-53-44=83! :)

83+53+44=180! :)

7 0
3 years ago
Read 2 more answers
Please helpppp! i really need help on this
nasty-shy [4]

Answer:

17,660,000

Step-by-step explanation:

First:

Multiply 14.6 x 10^6 which equals 14,600,000.

Second:

Multiply 3.06 x 10^6 which equals 3,060,000

Third:

Add Both answers together. You will get 17,660,000 as the answer!

7 0
3 years ago
Help, this is a course challenge
tankabanditka [31]

Answer:

Step-by-step explanation:

                    Statements                         Reasons

1. m∠BAC = m∠DAC = 51°                 1). Given

2. AB = AD = 4                                  2). Given

3. AC = AC                                        3). Segments are the same length as

                                                              themselves.

4. ΔABC ≅ ΔADC                            4). Side - Angle - Side property of

                                                             congruence.

8 0
3 years ago
Other questions:
  • The probability of event A is 0.56, and the probability of event B is 0.34. If A and B are independent events, then P(A and B) =
    14·2 answers
  • The area of North Carolina is about 5.3 ×104 square miles. The area of Rhode Island, the smallest state, is about 1.3 × 103squar
    11·1 answer
  • A student wants to conduct an experiment to see how quickly information can travel. On Day 1 of the experiment, the student tell
    9·1 answer
  • How did Katherine Johnson’s work in math affect us today?
    12·1 answer
  • Which unit of measurements best estimate the of a juice box ( millimeters or centimeters or liters or meters) ? 
    13·2 answers
  • Pls can someone help me I need help
    13·1 answer
  • ATTENTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Best Answer gets brainly!Thanks for helping :D
    5·2 answers
  • A square barn has sides that are 7 meters long. what is the perimeter
    6·2 answers
  • I need help on this pls help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!