John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?

Answers

Answer 1

Answer:

Maximum distance covered by John = 22.8 miles

Step-by-step explanation:

The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Amount of money John has = $y

Let the number of miles traveled in $y = x miles

If John finds a cab charging same fee and $0.45 per mile,

y ≤ 2.25 + 0.45x

y - 2.25 ≤ 0.45x

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

Therefore, inequality representing the maximum distance covered by John,

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

If, y = $12.52

[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]

x ≤ 22.8 miles

Therefore, John will be able to travel the maximum distance = 22.8 miles.

Answer 2

Answer:

x ≤ 22.8 miles

John will be able to travel the maximum distance of 22.8 miles.

Step-by-step explanation:

I hope this helps


Related Questions

Find the value of each variable.

Answers

Answer:

19. x = 65

20. x = 12

21. x = 35, y = 85

Step-by-step explanation:

19. 2x -10 = 120

2x (-10 + 10) = (120 +10)

2x/2 = 130/2

x = 65

20. 2x + 4x + 108 = 180

6x + (108 - 108) = (180 - 108)

6x/6 = 72/6

x = 12

21. 2x + 25 = 3x - 10

2x + (25 - 25) = 3x (- 10 - 25)

(2x - 3x) = (3x - 3x) - 35

-x/-1 = -35/-1

x = 35

3x - 10 + y = 180

3(35) - 10 + y = 180

105 - 10 + y = 180

(95 - 95) + y = (180 - 95)

y = 85

John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles

A- 17

B- 19

C-21

D-15

Answers

Answer:

Step-by-step explanation:

Step one:

give data

time= 8hours

distance=385mile

speed=?

Step two:

let us solve for the speed

Speed= distance/time

Speed=385/8

speed=48.125miles per hour

Step three:

let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour

speed=distance/time

time=distance/speed

time=1000/48.125

time=20.779hours

approximately 21 hours

Plzs help I give u BRAINLIST

Answers

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem

Answers

I think what you would have to put is divide so split the total of the tickets and that how much and plssss give me brain list

Please help I will give you brainliest. Look at the picture

Answers

Answer:

1. 24 2. 64 3. 9 4. 11 5. 7 2/5

Step-by-step explanation:

Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form

Answers

Answer:

y = 75x + 800

Step-by-step explanation:

Answer:

y = 75x + 800

'x' represents the number of people

800 represents the base rate

(-7) • (-5) what does it equal to

Answers

Answer:

35

Step-by-step explanation:

Negative × negative = Positive-7 × -5 = 35

I hope this helps!

Answer:

35

Step-by-step explanation:

Simplify

(-7) X (-5)

Negatives cancel out so its going to be positive

That's how you get 35.

what is the average rate of change
y - 3 = -12 (x + 4)​​

Answers

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]

michael jordan only has 1.8 pieces of greatest of all time

and lebron james has 8.48 pieces of greatest of all time

answer 8.48 x 1.8 when you get the answer add it woth 8.48 and 1.8
will give brainliest

Answers

Answer:

25.544

Step-by-step explanation:

Give an example of a real number that is not rational.

Answers

Answer:

A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.

A sweater us on sale for $16, which is 80% of the original price. What is the original price of the sweater?

Answers

Answer:

$28.80

Step-by-step explanation:

16 times 0.8 = 12.8 + 16 = 28.80

A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.

Answers

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  Ethan paid $26.80  for 175 mins

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

$32.40 for 210 minutes

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = [tex]\frac{5.6}{35}[/tex]  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = [tex]\frac{18}{120}[/tex]  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

Please help me with this question!!

Answers

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]

Jessie was dividing these two fractions:

[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]

And got the incorrect result

[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]

The correct result is 2 pounds per quart

Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.

Answers

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

Answer

It depends on what digits repeat

Step-by-step explanation:

I hope this helps!

There are ten bird baths in a park. On the first day of​ spring, the bird baths are filled. Several weeks​ later, the overall change in the water level is found. The results are shown in the table. What is the range of the​ data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2

Answers

Answer:

4.5

Step-by-step explanation:

The range of the​ given data would be 5.1  which is determined by the difference between the maximum value and the minimum value of data.

What is the range of data?

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

The given results data are as:

{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }

To determine the range of the​ data, we have to find the maximum value of the data and the minimum value of the data.

As per the given results,

The maximum value of data = 2.7

The minimum value of data = -2.4

So the range of the​ data would be:

⇒ the maximum value of the data - the minimum value of the data.

⇒ 2.7 - (-2.4)

⇒ 2.7 + 2.4

Apply the addition operation, and we get

⇒ 5.1

Therefore, the range of the​ given data would be 5.1.

Learn more about the range of data here:

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Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)

Answers

Answer: − 10 x + 7.5

Step-by-step explanation:

Answer:

− 10 x + 7.5

Step-by-step explanation:

Hope this helped!

PLEASE HELP !!!!!!
(also please don’t reply if you don’t know) thx

Answers

Answer:

1. 270 meters

2. 9 centimeters

3. 14 kilometers

4. 135 square meters

5. 24 square meters

6. the volume of the swimming pool is 144

Step-by-step explanation:

√10 • √8 =
A. 4√5 or
B. 3√2
Which one?

Answers

Answer:

A. ([tex]4\sqrt{5}[/tex])

Step-by-step explanation:

√10 • √8 = [tex]\sqrt{80}[/tex]  - They combine into one.

 [tex]\sqrt{80}[/tex]

 /     \

[tex]\sqrt{20}[/tex]   [tex]\sqrt{4}[/tex]

 [tex]\sqrt{4}[/tex] = 2

[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]

2 * 2 = 4

[tex]4\sqrt{5}[/tex] is the answer.

The triangles shown below must be congruent . True or false ? ​

Answers

Answer:

False

Step-by-step explanation:

The angles are the same, but we know nothing about the sides

For triangles to be congruent, the sides have to be the same length

Since we don't have information about the sides, we do not know if they are congruent.

Answer:

false

Step-by-step explanation:

brainliest plz

Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.

Answers

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)

Answers

3x^2 - 2x + 5

Good luck! (:

answer with explanation pls​

Answers

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

Please need help fast. Look at the picture.

Please explain.

Answers

The answer is 17

This is because 1 + 2 must equal 180 as they are in a straight line.
So 4x + 2 + 110 = 180
Take away 110 from both sides
4x + 2 = 70
Take away 2 from both sides to get 4x = 68. Finally, divide both sides by 4 to get x = 17

HURRY!!!! I need help with this asap!!!!!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches

Answers

Answer:

380,160 and 2nd one should be 240

Step-by-step explanation:

PLEAAAAASEEE HEEEELPPPPP!!!! ILL GIVE BRAINLIEST!!!!

Answers

Answer:

See below

Step-by-step explanation:

[tex] \huge {4}^{3}. (3 \sqrt{16} )^{ - 2} \\ \\ = \huge 64. (3 .4 )^{ - 2}\\ \\ = \huge 64. (12)^{ - 2} \\ \\ = \huge \frac{64}{(12)^{ 2}} \\ \\ = \huge \frac{64}{144} \\ \\\huge = \frac{4}{9} \\ \\ \\ \huge( {a}^{5} . {a}^{ - 2} )^{3} \\ \\ = \huge( {a}^{5 - 2} )^{3} \\ \\ = \huge( {a}^{3} )^{3} \\ \\ = \huge{a}^{3 \times 3} \\ \\ = \huge{a}^{9} [/tex]

Write the equation y=4x+9 in standard form using integers.

Answers

Answer:

[tex]4x-y=-9[/tex]

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

[tex]4x-y=-9[/tex]

I hope this helped you :D

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 2 is an equation.

2x + 4y + 4 is an equation.

We have,

y = 4x + 9

This is in the slope-intercept form of an equation.

The standard form of an equation is written as:

x + y = c

We need to keep the variable in the equation on one side and a constant on the other side of the equation

Now,

y = 4x + 9

Subtract 4x on both sides.

y - 4x = 4x + 9 -4x

y - 4x = 9

-4x + y = 9

This is in the form of a standard equation.

Thus,

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

Learn more about equations here:

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After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house?

Answers

8:40 AM, 15 + 10 + 25 = 50 so go 50 minutes backwards.

The time Nate left his house is 8 : 40 am

After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,

Time spent to middle schoolt = 15 minutes

Then he drove ten minutes to take his two younger daughters to the elementary school. Therefore,

Time spent to elementary schoolt = 10 minutes

He drove twenty-five minutes to work. Therefore,

Time spent to workt = 25 minutes

He arrived at work at 9:30 am. The time he left home can be calculated as follows:

Total time spent on the road = 15 + 10 + 25 = 50 minutes

Therefore,

Time he left home = 9:30 - 50 = 8 : 40 am

learn more on time here: https://brainly.com/question/25923001?referrer=searchResults

(3x^8)(5x) simplify using Law of exponent

Answers

It would be 15x^5 if u need the steps comment

they only said simplify and i guessed the answer as undefined

Answers

I think it is B but I’m not sure
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