11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.


I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.

Answers

Answer 1
Answer: 89 miles


Explanation: We can make a linear equation given the problem, where 2.75 is the constant and 0.25 is the slope. M can represent miles 28.5 is what we want the equation to equal, so it will be on one side of the equation.

We can simply add the $3.50 tip to the constant to account for it

Thus we have 28.50=0.25m+6.25.

Solving for m gives us 89 miles.




Related Questions

Six increased by 1-3 of a number is 11 . Find the number

Answers

Answer:

7 is the answer

Step-by-step explanation:

6 + 1 - 3 of a number = 11

1 - 3 = -2

6 - 2 = 4

so 4 + 7 is 11

Hope it helps!

Baxter Tree Service charges $42 per tree to trim them, and an additional $75.50 to remove the trimmings from the property. His competitor, Barron and Son, charges $37 per tree to trim them but charges $95.50 to remove trimmings. How many trees, t, must be trimmed to make the two companies cost the same amount?

Answers

Answer:

[tex]t = 4[/tex]

Step-by-step explanation:

Baxter Tree Service:

Per tree trimming charges = $42

Additional charges for removing the trimmings from the property = $75.50

Number of trees trimmed = [tex]t[/tex]

Total charges = Additional charges + cost of trimming [tex]t[/tex] trees

Total charges = $75.50 + $42[tex]t[/tex]

Barron and Son:

Per tree trimming charges = $37

Additional charges for removing the trimmings from the property = $95.50

Number of trees trimmed = [tex]t[/tex]

Total charges = Additional charges + cost of trimming [tex]t[/tex] trees

Total charges = $95.50 + $37[tex]t[/tex]

Now, the total charges need to be same and we have to find the value of [tex]t[/tex].

[tex]75.50+42t = 95.50+37t\\\Rightarrow 42t-37t=95.50-75.50\\\Rightarrow 5t=20\\\Rightarrow \bold{t =4}[/tex]

[tex]t = 4[/tex] number of trees must be trimmed.

evaluate (log) PLS HELP ASAP!!!! thank you!!! *will give brainliest*

Answers

Answer:

-3 ( D )

Step-by-step explanation:

Logarithm base 3 of 1/27 is -3.

Brainliest for the correct answer 20 points!!!

Answers

Answer:

y = -3/2x + 3

Step-by-step explanation:

Answer:

y= 3 - 2x

Step-by-step explanation:

What is the answer to 1/2 divided by 8/7

Answers

7/16

Steps:

[tex]\frac{1}{2} /\frac{8}{7} =\frac{1}{2} *\frac{7}{8} =\frac{7}{16}[/tex]

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
A - 108
B - 36
C - 12
D - 112

Answers

Answer:

your answer would be c hope this helps and if its wrong lmk

Step-by-step explanation:

C I got it right good luck

There are 12 books on a shelf. 7of these books are new.
(a) What is the ratio of new books to used books?
(b) What is the ratio of all books to used books?

Answers

Answer:

(a) 7 : 5

(b) 19 : 5

Hope this helps :)

Answer:

(a) 5:7 ( 5 new to 7 used). (B) 12:7   (12 books to 7 used ones). You are welcome :)

Step-by-step explanation:

1. Find the percent of the given quantity using any method: 40% of 320

Answers

Answer:

128

Step-by-step explanation

Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.

Answer:

the answer is 128.

40% of 320 = 128 :)

find the surface area of this cylinder using pie.

Answers

Answer:

Thus the surface area of this cylinder involving pie is:

[tex]A=750\pi[/tex] ft²

or

[tex]A\approx 2356.19[/tex] ft²

Step-by-step explanation:

Given

radius = r = 10 ft

height = h = 15 ft

The surface area of a cylinder formula is:

[tex]A=2\pi rh+2\pi r^2[/tex]

substituting the value = r = 10 ft and h = 15 ft

[tex]\:A=\left(2\times \:\pi \:\times \:15\times 10\right)+\left(2\times \pi \:\times \:15^2\right)\:[/tex]

[tex]A=750\pi[/tex] ft²

Thus the surface area of this cylinder involving pie is:

[tex]A=750\pi[/tex] ft²

or

[tex]A\approx 2356.19[/tex] ft²

Luke cut down a tree that was 25.8 feet tall. Then he cut the tree into 6 equal pieces to take it away.

What is the length of each piece?

Answers

Answer:

the length of each piece is 4.8 feet

Step-by-step explanation:

can someone please help me

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )

63n = 15 - 14 = 1 ( divide both sides by 63 )

n = [tex]\frac{1}{63}[/tex]

(b)

[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )

1 = 3k - 12 ( add 12 to both sides )

13 = 3k ( divide both sides by 3 )

[tex]\frac{13}{3}[/tex] = k

(c)

g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )

5g - 2g = 15

3g = 15 ( divide both sides by 3 )

g = 5

(d)

[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )

3w + 14w = 21

17w = 21 ( divide both sides by 17 )

w = [tex]\frac{21}{17}[/tex]

can somebody help me please?

Answers

Answer:

Domain = [tex](-\infty,6)\;\cup\;(6,\infty)[/tex]

Range = [tex](-\infty,1)\;\cup\;(1,\infty)[/tex]

vertical asymptote is at [tex]x=6[/tex]

Step-by-step explanation:

Domain is all the x values, with an asymptote, it is just a line that approaches a number but never reaches it. The vertical asymptote if you look at x, the lines look like the come from infinity on the left and right, try to reach 6 but can't.

So the interval notation for this is the union of all the numbers from negative infinity up to 6 but not including 6, and all the numbers from positive infinity up to 6 but not including 6.

Range is all the y values, with an asymptote, it approaches a number but never reaches it. The horizontal asymptote if you look at y, the lines look like the come from infinity on the top and bottom, try to reach 1 but can't.

So the interval notation for this is the union of all the numbers from negative infinity up to 1 but not including 1, and all the numbers from positive infinity up to 1 but not including 1.

I NEED HELP!!!!
A sports team has won 21 out of the 40 games it has played. About what percent of games has the team won?

Answers

Answer:

About 50% percent

Step-by-step explanation:

20 is 50 percent of 40, so 21 is about 50 percent (52.5 %)

~theLocoCoco

Answer:

52.5%

Step-by-step explanation:

21/40 = 52.5/100

52.5/100= 52.5%

im not sure but you can try :<

Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.

How many t-shirts did Sandra purchase?

(this is two-step equation math)

Answers

Answer:3

Step-by-step explanation: it’s exactly 3

Sandra purchased three t-shirts

65-23=42

42/3=14

A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the​ carpet?

Answers

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

The length of the carpet is (x + 67) inches

The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

2(length + width) = 194

→ Divide both sides by 2

length + width = 97

→ Substitute the value of the length and width in the equation above

x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

2x = 30

→ Divide both sides by 2

x = 15

∵ x represents the width of the carpet

The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

The length of the carpet is 82 inches

The dimensions of the carpet are 15 inches and 82 inches

Charlie weighs 5 times his little sister Tali. If the total weight of both children is at 132 pounds, how much does each child weigh?

Answers

Answer:

5x+x=132

Step-by-step explanation:

132/6=22

22*5=110

Charlie weighs 110 pounds and Tali weighs 22 pounds.

Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...

Answers

Answer:

542

Step-by-step explanation:

-3, 2, 7, 12

-3 + x = 2 x = 5

2 + x = 7 x = 5

7 + x = 12 x = 5

If you want to find the 3rd term in the sequence and you start with the first number, then you do this:

-3 + (2 * 5) = -3 + (10) = 7

The same goes for the 110th term:

-3 + (109 * 5) = -3 + (545) = 542

The formula to find the nth term is:

f(n) = n(0) + (n-1) * 5

Suppose n(0) = -3 then

f(110) = -3 + {(110-1) * 5}

f(110) = -3 + {(109) * 5}

f(110) = -3 + (545) = 542

You can simplyfy f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (5n-5)

f(n) = n(0) + 5n - 5

f(110) = -3 + (5 * 110) - 5

f(110) = -3 -5 + (550)

f(110) = - 8 + 550

f(110) = 542

Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly.

Answers

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]

As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]

So, [tex]\frac{dy}{dx}>0[/tex]

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]

As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]

So, [tex]\frac{dy}{dx}<0[/tex]

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.

Hence, option (C) is correct.

The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.

We have to determine, Which of the following equations could be the equation to represent the given graph.

According to the question,

The given options of the possible equation for the graph are as follows:

[tex](A)y = 2(\frac{3}{2})^x[/tex] [tex](B)y = -2(\frac{3}{2})^{-x}[/tex] [tex](C)y = 2(\frac{2}{3})^{x}[/tex] [tex](D)y = -2(\frac{2}{3})^{-x}[/tex]

The given graph is decreasing and at x = 0, y = 2.

Then,

First checking the value of the given options for x = 0.

[tex](A)y = 2(\frac{3}{2})^x = 2(\frac{3}{2})^0 = 2 \times1 = 2[/tex] [tex](B)y = -2(\frac{3}{2})^{-x} = (A)y = -2(\frac{3}{2})^{-0} = -2 \times 1 = -2 (not \ possible)[/tex][tex](C)y = 2(\frac{2}{3})^x = 2(\frac{2}{3})^0 = 2 \times1 = 2[/tex] [tex](D)y = -2(\frac{2}{3})^{-x} = -2(\frac{2}{3})^{-0} = -2 \times1 = -2 (not \ possible)[/tex]

For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.

Therefore,

To check the nature (increasing or decreasing) of the given equation by differentiating it.

For function A;

[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]

Therefore, The function in option A  is increasing function.

For function c;

[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]

Therefore, The function in option c is decreasing function.

The given graph is decreasing, so, the function c represents the given graph decreasing.

Hence, option (C) is correct.

To know more about the Graphs click the link given below.

https://brainly.com/question/16351335

A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.

Answers

Answer:

the number is 4

Step-by-step explanation:

we can write this as

x + 15 = 19

now we transpose

x= 19-15

x= 4

e owner of a skatepark wants to increase her entry fee of $5 Buy in increments of $0.50 currently the skate park has an average of 500 paying customers per week the equation (500 - 25x)( $5 + $0.50x) give me the estimated weekly income where X is the number of $0.50 entry fee price increases if the entry fee is increased to $7.50 what will be the expected average number of paying customers each week

Answers

Answer:

375 paying customers

Step-by-step explanation:

First you need to find how much the fee was increased from $5.00 to $7.50

7.5 - 5 = 2.5

Then how many times the pay increase goes into that number to find your X value

2.5/.5 = 5

Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1

500 - 25(1) = 475

500 - 25(2) = 450

500 - 25(3) = 425

500 - 25(4) = 400

500 - 25 (5) = 375

Answer:

375

Step-by-step explanation:

Given f(x) = x^2 + 1 with domain: {-2, -1, 0, 1, 3}. What is the range, R?
a) {-1, -2, 0, 1, 3}
b) {4, 1, 0, 1, 9}
c) {5, 2, 1, 2, 10}
d) {3, 0, -1, 0, 8}

Answers

Maybe A yep I’m thinking A

HURRY I NEED HELP ASAP question: The name used to represent 1,000 liters is the
Answers : kiloliter, centiliter, or milliliter.

Answers

Answer:

KILOLITER

Step-by-step explanation:

Answer milliletres

Step-by-step explanation:

HELP ASAP!!
geometry

Answers

Answer:

Step-by-step explanation:

Y+6=3y-30

Subtract y from the left

6=2y-30

Add 30 to both sides

36=2y

Divide by 2

18=y

2x+29=4x-47

Subtract 2x

29=2x-47

Add 47

76=2x

Divide by 2

38=x

Write a recursive formula for the following arithmetic sequence.

-6, -9, -12, -15, ...

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.

Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6

Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

Plz help I’m getting timed

Answers

Answer:

10

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:

10 meters

Step-by-step explanation:

You can count each unit since each unit equals 1 meter

Bobby and Gautham each save the same amount of money from each lawn they mow. What must be true for Gautham to have more money than Bobby after they have each mowed 18 lawns?

Answers

Answer:

I don't have any favorites. There is a reason for this, i don't read a lot of books but when i do, i usually like a mashup of different types of text styles. I guess i do have a favorite of a mashup. When i do read i usually pick a book that has an argument between different characters, a type of fiction memoir? And autobiography.

This mashup usually leads up to Wonder which is one of my all-time favorites. But there is another one i like and it is Diary of a Wimpy Kid. The only thing about that one is that doesn't have the whole autobiography part.

I like these styles because most of the books that i read have either funny traits or intense traits which, i love both of them.

Step-by-step explanation:

What is (x+234)(x+8)=10x+2

Solve for x and justify your answer
First one will get brainless if right

Answers

Answer:

x = -8.4 and -223.6

Step-by-step explanation:

I 'foiled' and simplied, then graphed; x-intercepts (listed above) were the x-intercepts

Which of the following functions is quadratic?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

please help its math!!! will give brainly and more points if correct please I need help

The equations of four lines are given. Identify which lines are perpendicular.


Line 1: y+8x=−5


Line 2: x+16y=−5


Line 3: y=−6x−7


Line 4: y+3=18(x−1)


Lines 2 and 3 are perpendicular.

Lines 1 and 2 are perpendicular.

All four lines are perpendicular.

Lines 1 and 4 are perpendicular.

Answers

Answer:

None of the options match

Step-by-step explanation:

First let's check option 1: lines 2 and 3.

line 2 in mx+b form: y=-1/16x -5

line 3, already in mx+b form: y=-6x-7

if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.

now for the 2nd option: lines 1 and 2.

line 1 in mx+b form: y=-8x-5

line 2 in mx+b form: y=-1/16x-5

Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.

For the 3rd option: all lines

this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.

Lastly, 1 and 4.

line 1 in mx+b form: y=-8x-5

line 4 --> y+3=18x-18 --> y=18x-21

This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.

To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...

Answer:

D

Step-by-step explanation:

We have the four lines:

[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]

Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.

So, let’s determine the slope of each line.

For Line 1, we can rewrite our equation as:

[tex]y=-8x-5[/tex]

So, the slope of Line 1 is -8.

We can rewrite Line 2 as:

[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]

So, the slope of Line 2 is -6.

The slope of Line 3 is also -6.

And the slope of Line 4 is 1/8.

So, the slopes of perpendicular lines must be negative reciprocals.

The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.

Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.

For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.

So, they will instead of parallel instead of perpendicular.

And Line 1 is perpendicular only to Line 4, and no other line.

Therefore, our answer is D.

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