Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of 6plus3 per mile. The total fare was $24, not including the tip. How many miles did Mike travel by taxi on this ride?


A 2


B 6


C 8


D 10

Answers

Answer 1

Answer:

6 miles.

Step-by-step explanation:

To solve this problem, lets make an equation in slope-intercept form (y = mx + b)

The initial fee is $6. This is our y-intercept (b) as it is unchanging.

Our slope (m) would be $3, as it changes value per mile, which will be represented by x.

$24 was the total fare, so this is our y.

We have:

24 = 3x + 6

Subtract 6 from both sides.

24 - 6 = 3x + 6 - 6

We get:

18 = 3x

Divide by 3 on both sides.

18/3 = 3x/3

We get:

6 = x

So, Mike traveled 6 miles.

I would appreciate brainliest, if not that's ok!


Related Questions

Trigonometric functions

Answers

Answer:

in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.

Find each of the trigonometric ratios. I am going to give brainliest to whoever gets this right.

Answers

Answer:

Step-by-step explanation:

sin(Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{YZ}{XZ}[/tex]

         = [tex]\frac{9}{15}[/tex]

         = [tex]\frac{3}{5}[/tex]

cos(Z) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{XY}{XZ}[/tex]

          = [tex]\frac{12}{15}[/tex]

          = [tex]\frac{4}{5}[/tex]

tan(Z) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{XY}{YZ}[/tex]

          = [tex]\frac{9}{12}[/tex]

          = [tex]\frac{3}{4}[/tex]

sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{YZ}{XZ}[/tex]

          = [tex]\frac{12}{15}[/tex]

          = [tex]\frac{4}{5}[/tex]

cos(X) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{XY}{XZ}[/tex]

           = [tex]\frac{9}{15}[/tex]

           = [tex]\frac{3}{5}[/tex]

tan(X) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{YZ}{XY}[/tex]

          = [tex]\frac{12}{9}[/tex]

          = [tex]\frac{4}{3}[/tex]

UM what is 53 x 4? I need to know right now.

Answers

Answer:

212 is the correct answer hope it helps

212 is the answer.......

Blaise bought a used car for $3,250. He added a turbocharger that cost t dollars and a new air intake manifold that cost $178, bringing the total cost to $3,587. This situation can be represented by the equation $3,250 + $178 + t = $3,587. How much did the turbocharger cost?

Answers

Answer:

t = $159

Step-by-step explanation:

3587-3250-178 = t

t = 159

Marcy, a 7th grader, decided to be a rebel one day and climb a 20-foot ladder up to the roof of the school in-between classes. When she decided to do this, Mr. Hill’s sixth sense was activated, and he decided to go check the roof area. Marcy climbed at a steady rate and was 14 feet up the ladder after 28 seconds of climbing when Mr. Hill burst into the room, saw her, and yelled for her to stop. Surprised, Marcy slipped and fell down the ladder at a steady rate for 2 seconds before she caught herself 6 feet up the ladder. A few minutes later, she was safe in ISS. Choose an equation for the relationship between Marcy’s distance climbing up the ladder and time.

Answers

Answer:

69 feet per second

Step-by-step explanation:

Answer:

wow ok so- thats my name- i'd climb to the roof, yes. aand the answer is gonna be below.

Step-by-step explanation:

14 - 6 = 8

28 - 2 = 26

the relationship is both differences are in the 2 times tables.

What is the measure of angle X?_

Answers

Answer:

Hey this isn’t the answer, sorry

Step-by-step explanation:

I just need this answer to so let me know if you get the answer Thank you

Yolanda is making a springboard to use for gymnastics. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled
in the diagram below.
X
8 in
16.5
To the nearest tenth of an inch, what will be the length of the springboard, x?
27.0
b
28.2
ООО
8.3
d
2.3

Answers

Answer: Hi! The answer is 28.2

Step-by-step explanation:

The value of x from the given diagram is 28.3 in

SOH CAH TOA identity

From the diagram shown, we are given the following:

Opposite  = 8inHypotenuse = xAngle of elevation = 16.5 degrees

To get the value of x, we will use the relatinship;

Sin theta = opp/hyp

Sin 16.5 = 8/x

x = 8/sin16.5

x = 8/0.2840

x = 28.16

x = 28.2in

Hence the value of x from the given diagram is 28.3 in

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

(5x) + (9x) + (11x) + (6x) + (10x) = ?

Answers

Answer:

41x

Step-by-step explanation:

Answer:

41x

Step-by-step explanation:

The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they ve scored the following points.

84, 67, 74, 87, 67, 73


If the coach is discussing their year with the local newspaper, which measure of central tendency is he least likely to use?

Median

Mode

Mean

Range​

Answers

Mode as this would be their most common way on discussing what the average score the basketball team had gained from the last 6 games.

Hope this helped :)

Answer:

Step-by-step explanation:

Median

Not 100 percent

Median is middle he is least likely to use.

Caleb purchased video games for $45 each. He bought $540 worth of video games. If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?

Answers

Answer:

y=45x-540

Step-by-step explanation:

Every two years, there is a local election in a small town. In 2015, a total of 29,000 voters turned out in the election. In 2017, the number of voters decreased by 16%. In 2019, the number of voters increased by 22%. How many voters turned out in the election for 2019?

Answers

Answer:

29730 voters

Step-by-step explanation:

so:

in 2017- 16/100=0.16 x 29,000=4640 so 29,000-4640=24360 voters

in 2019-22/100=0.22 x 24369=5361.18 so 24369+5361.18=29730.18 voters

I hope this helped

Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same? Will mark Brainly or how ever you call it.

Answers

Answer:

∠DEA=∠BAC

Step-by-step explanation:

∠DAE=∠BCA (corresponding angles)

Angles in a triangle add up to 180:

Angles in ΔDAE=Angles in ΔABC

∠DAE+∠EDA+∠DEA=∠BCA+∠ABC+∠BAC

∠EDA+∠DEA=∠ABC+∠BAC (since ∠DAE=∠BCA, we can cancel them out)

∠DEA=∠BAC (∠EDA=∠ABC=90)

11. Determine the measure of the angles below.
12. Two lines intersect to form the four angles shown in the figure. Which term does not accurately describe the pair of angles 1 and 4?

Answers

Answer:

11 - 125 and 55

12 - supplementary

Step-by-step explanation:

5x+20+3x-8=180

step 1 combine like terms

8x+12=180

step 2 subtract 12 from each side

8x=168

step 3 divide each side by 8

x=21

then you just plug in 21 to each equation to find that angle 1 = 125 and angle 2=55

Problem 11

Answers:

5x+20 = 1253x-8 = 55

--------------------

Explanation:

The two angles shown here form a linear pair. They supplementary so they add to 180.

(5x+20)+(3x-8) = 180

(5x+3x) + (20-8) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

We then find the angles to be

5x+20 = 5*21+20 = 125

3x-8 = 3*21-8 = 55

Note how 125+55 = 180 to help confirm the answers

===================================================

Problem 12

Answer: B) Vertical angles

--------------------

Explanation:

Vertical angles are angles that form after intersecting two lines, and the angles are opposite one another. So one example of a vertical angle pairing would be angles 1 and 3. The other vertical angle pair of this diagram are angles 2 and 4. Vertical angles are always congruent to one another.

In this diagram, angles 1 and 4 are adjacent since they are next to each other. In other words, they share a common line (think of apartment neighbors sharing a common wall). Since they are adjacent angles, there is no way they are vertical angles.

Angles 1 and 4 are also supplementary since they form a straight line. They are a linear pair for very similar reasons. This allows us to rule out choices A, C and D.

Side note: the term "linear pair" means that the angles are adjacent and supplementary.

Can someone please help me with this questions

Answers

Step-by-step explanation:

a. 3⁴

b. 7⁵

c. 10²

d. 5⁷

Hope this helps?

If the nurse to patient ratio in a long term care unit is​ 3:15, how many nurses would you expect to see in a unit with 72

Answers

If there’s 72 patients, then there will be 360 nurses. If there’s 72 nurses, then there will be 14.4 patients.

Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.

Answers

Answer:

Well to start you already know the sandwich cost 5.25 and the total sales tax .92.

To find the cost of each drink

5.25 x 2= 10.50

10.50+.92=11.42

17.00-11.42= 5.58

5.58/3= 1.86

So the cost per Drink is $1.86

Step-by-step explanation:

Hope this helped!

solve for h in the parallelogram

Answers

Answer:

h = 5

Step-by-step explanation:

diagonals in a parallelogram bisect each other so:

2h = h + 5

h = 5

need help im dum (not really but i dont get it)


i will give brainliest

Answers

Answer:

20

Step-by-step explanation:

to do % you have to multiply your number (50) by the % which is 40%

but you have to turn your number into a decimal (.40) then multiply

you'll get 20 and there is your answer!

hope this helps!

How many terms are in this expression? d + 8c + 7 ​

Answers

Answer:

2

Step-by-step explanation:

The point ( -3, 15 ) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new point?

Answers

Answer:

The new coordinates would be (6,5)

Step-by-step explanation:

I'm pretty sure o-O

x^2+5x+4=0 how do I factor this because Im trying to solve quadratic equations by factoring and i dont understand it

Answers

Answer:

(x + 4)(x + 1)

Step-by-step explanation:

what is the slope of a line that contains the points (-6, 1)and (4 negative 4)​

Answers

-4/5 cause m=y^2-y^1/x^2-x^1
Btw check if it is correct

What is the slope of the line passing through the points (3,5) and (-1,7)?

Answers

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

Answer:
Slope=-1/2
Hgvvvgssf

Maths question, will give Brainliest! Estimate the solution to the system:
y=4x−2
y=x+3

Answers

Answer:

C

Step-by-step explanation:

Answer:

C or (5/3, 14/3)

Step-by-step explanation:

y = 4x - 2 = x + 3

3x - 3 = 3

3x = 5

x = 5/3 or 1 2/3

y = 5/3 + 3

y =  (5 + 9)/3

y = 14/3 or 4 2/3

Willa bought 5 tops that cost $72 after she applied a $20-off coupon. The tops all cost the same amount. Which equation can be used to find the cost in dollars of each top?
A5t + 20 = 72

B5t - 20 = 72

C20t = 5 = 72

D20t - 5 = 72

Answers

Answer:

B

Step-by-step explanation

5 tops minus the 20 from coupon, to get the total

The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?

Answers

The slope is ¾ at all points on M.

please help me put these in order if u can

Answers

i believe the answer is 3,1,5,4,2.

Answer:

5x+8y=480

5(16)+8y=480

80+8y=480

8y=40

y=50

Step-by-step explanation:

x= kids ticket sold

y= adult tickets sold

5x+8y = sales

Plug in 16 for x and 480 for sales

5(16)+8y= 480

Solve for y

80+8y=480

400=8y

y=50

The slope-intercept form of a linear equation
is y = mx + b, where x and y are coordinates of an
ordered pair, m is the slope of the line, and b is where
the line crosses the y-axis.
Which is an equivalent equation solved for the slope,
m?
m= yx +b
m= b
x
O m=-b
O m=y-

Answers

Answer:

The second option m=y-b/x

Step-by-step explanation:

Hope this helps :)

Answer:

B

Step-by-step explanation:

I have super human powers that tell me the correct answer

Change to y = mx + b form. 3y - 3x = 9​

Answers

Answer:

y = x+3

Step-by-step explanation:

3y-3x = 9

3y-3x+3x = 9+3x

3y = 3x+9

3y/3 = 3x/3+9/3

y = x+3

Hey there!

The answer is [tex]y=x+3[/tex]

[tex]3y-3x=9[/tex]

[tex]\frac{3y}{3} -\frac{3x}{3} =\frac{9}{3}[/tex]

[tex]y-x=3[/tex]

[tex]y-x+x=3+x[/tex]

[tex]y=x+3[/tex]

Have a great day!

Select all the systems of equations that have exactly
one solution.
y = 3x + 1
y =− 3x + 7

y = 3x + 1
y = x + 1


y = 3x + 1
y = 3x + 7


y =− x + 10
y =− 1x + 10



y =− x + 10
y =− x + 12

Answers

Answer:

a, c

Step-by-step explanation:

because they have the same equations

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