Jamel plans to take a cruise that leaves out of New Orleans and needs to rent a car to see the sights as well as travel to and from the airport. The cost of renting a car is S50 plus $0.75 per mile for every mile over 40 miles driven. If Jamel's total cost for renting the car is $122.75, use the composition of functions to find how many miles Jamel drove the car on his vacation?

Answers

Answer 1
Jamel drove 137 miles on his vacation. If you take $122.75 and subtract 50 than it is it is 72.75. The you divide 0.75 to the 72.75 and you get 97. You add the 40 miles free of charge to the 97 to get 137 miles.

Related Questions

Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars

Answers

Answer:

Choice D

Step-by-step explanation:

Choice A

12 x 12 = 144 pencils

6 x 10 = 60 candy bars

Choice B

5 x 12 = 60 pencils

10 x 10 = 100 candy bars

Choice C

6 x 12 = 72 pencils

5 x 10 = 50 candy bars

Choice D

5 x 12 = 60 pencils

6 x 10 = 60 candy bars

(+5)+(-2)+(+20)
solve

Answers

Answer:

5(x-2)^2=20

5(x^2-4)=20

5x^2-20=20

5x^2-20-20=0

5x^2-40=0

5x^2+0x-40=0

Step-by-step explanation:

hope this is helpfull

Which expression is equivalent to 11(3 + 10x)?

Answers

Answer:

33+ 110x

Step-by-step explanation:

open the bracket.

hope it helps!!!

Please help!! Im super confused:(

Answers

Answer:

3 points

Step-by-step explanation:

3 is very different from the other numbers, so it is an outlier.

Answer:

3 points (Clearly because if you put it on a number line, this one would be far away from the other numbers)

which set of ordered pairs is a function?

Answers

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

equivalent to 0.13
?

Answers

Answer:

13/100 or 13% is equivalent to 0.13

Step-by-step explanation:

hope this helps

For the data shown in the scatter plot below, identify a point apart from the main cluster?
A (1, 4)
B (3, 5)
C (8, 7)
D(4, 7)

Answers

Answer:

C. (8, 7)

Step-by-step explanation:

There are 2 points that are apart from the main cluster:

(8, 7) and (8.5, 7.5)

One of them is included in the answer choices:

C. (8, 7)

x ≤ 12 Is x=3 a solution?
yes or no

Answers

Answer:

yes

Step-by-step explanation: :)

Answer: yes

Step-by-step explanation:

Can someone help me solve this

Answers

Answer:

BC=15.01

Step-by-step explanation:

tan(65) = x/7

x = 7 x tan(65)

x = 15.01

1/8 quarters is how many gallons

Answers

Answer:

4 quarters in a gallon

Step-by-step explanation:

Please help me, thank you!

Answers

Answer:

the slope is -1.5

Step-by-step explanation:

The temperature in Baku, Azerbaijan dropped over five hours from zero degrees Fahrenheit to negative fifteen degrees Fahrenheit. If the temperature dropped the same amount each hour, how much did the temperature change each hour?

A. -5
B. 5
C. 3
D. -3

Answers

The answer should be D

2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?

Answers

Answer:Veronica has 22 marigold plants

Step-by-step explanation:

Total Number of flower plants in her garden=55

fraction of flower plants which are marigolds=2/5

Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden

=2/5 x 55

=22

Help me!! no links or i REPORT, I will do brainliest if there is more than one answer and if you explain it

Answers

Answer: 1/2

Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.

Tavon makes another box with height h inches from a piece of cardboard that meadures 12 inches by 12 inches

Answers

Answer:

[tex]Area = 4h^2-56h +144[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required: The base area.

From the question, we have the initial dimensions to be:

[tex]Length = 12[/tex]

[tex]Width = 12[/tex]

h inch were removed from each corner to form the new base. So, the dimension of the new base is:

[tex]Base\ Length = Length - h - h[/tex]

[tex]Base\ Length = Length - 2h[/tex]

[tex]Base\ Width = Width - h-h[/tex]

[tex]Base\ Width = Width - 2h[/tex]

The area of the base is calculated by multiplying the base dimensions

[tex]Area = Base\ Length * Base\ Width[/tex]

[tex]Area = [Length - 2h] * [Width - 2h][/tex]

[tex]Area = [12 - 2h] * [12 - 2h][/tex]

Expand

[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]

[tex]Area = 144 - 28h -28h + 4h^2[/tex]

[tex]Area = 144 -56h + 4h^2[/tex]

Rewrite as:

[tex]Area = 4h^2-56h +144[/tex]

What is the value of the negative zero of the function g(x) = 3x2 + 14x - 5?​

Answers

Answer: -5

Step-by-step explanation:

The value of negative zero in g(x) = 3x² + 14x - 5 is 1.

What is Descarte's rule of signs in a polynomial?

Descarte's rule for no. of at most positive real roots in a polynomial is the no. of sign changes in the polynomial.

Descarte's rule for no. of at most negative real roots in a polynomial f(x) is the number of sign changes in f(-x).

All the other left over roots are imaginary and come in conjugate pairs.

The number of negative of f is equal to the number of sign changes of successive terms of f(-x).

Given, g(x) = 3x² + 14x - 5.

Now, g(-x) = 3(-x)² + 14(-x) - 5.

g(-x) = 3x² - 14x - 5.

The signs are +, -, - so only one sign changes.

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Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =

Answers

Solution :

Given :

[tex]$f(x)=x^3-x^2-18x+19$[/tex]

By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then

[tex]$f(x)=(x-k)q(x)+r$[/tex]

Here, k = 4

Therefore, divide the f(x) with (x - 4) to find the q(x) and r.

           __________________

[tex]$x-4$[/tex]    |    [tex]$x^3-x^2-18x+19$[/tex]         |      [tex]$x^2+3x-6$[/tex]

            [tex]$x^3-4x^2$[/tex]

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

                    [tex]$3x^2-18x$[/tex]

                    [tex]$3x^2-12x$[/tex]

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

                          [tex]$-6x+19$[/tex]

                          [tex]$-6x+24$[/tex]

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

                                  [tex]$-5$[/tex]

Therefore,

q(x) =  [tex]$x^2+3x-6$[/tex]

  r = -5

[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]

[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]

       [tex]$=-5$[/tex]

You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.

Answers

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:

[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]

In this situation, the function is:

[tex]\to f(x) = 0.01\times (2)^x[/tex]

And we'd like to calculate the average rate of change from day 7 to day 14.Using the aforementioned equation, we can calculate the rate of change from day 7 to day 14 as follows:

[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.

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If Kyle makes a zero on his ELA finals, and it counts for .01% of his 90.8%, how much will Kyle’s grade drop?

please help i’m not sure how to do math like this

Answers

Answer:

9.2 %

Step-by-step explanation:

Given: 0 on finals, overall is 90.8, then 0.01%

To find: How much of Kyle’s grade dropped

Solve: First, calculate the percentage you received on the test by dividing your mark by the total marks.

Kyle scored 0 out of 100, then 0/100 = 0 percent.

Secondly, multiply your percentage score on the test by the percentage it is worth of the final grade.

0 × 90.8 = 9.2 %  

9.2 %  of the final grade

I need help on this one please

Answers

Answer:

C

Step-by-step explanation:

A pet store is having a pet fish sale. Mrs. Smith bought koi and paid with a​ $50 bill. Write an algebraic expression to represent how much change Mrs. Smith got back.

Answers

Hi it’s not really important that we are all over you have the moneylender and the kids and

The expression that represents the change Mrs. Smith got back is 50 - x dollars.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A pet store is having a pet fish sale.

let, the cost of the Koi fish is 'x' dollars.

Therefore, With a $50 bill change(C) Mrs. Smith got back is represented by the expression,

C = (50 - x) dollars.

So, The change Mrs. Smith got back is 50 - x dollars.

learn more about numerical expressions here :

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Find the solutions of this quadratic.
f(x)=(x-8)(x+4)

Answers

l

[tex]x1 = 8 \\ x2 = - 4[/tex]

(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..

Answers

Answer:

-2x+8

Step-by-step explanation:

(-x+3)-(x-5)

= -x+3-x+5

= -2x+8

What is the value of x in the equation 0.7x – 1.4 = –3.5?
–7
–3
3
7

Answers

Answer:

0.7x - 1.4 =-3.5

      +1.4   +1.4    Step one: add 1.4 to both sides to cancel out 1.4

0.7x = -2.1

----      -----         Step two: divide both sides by 0.7

0.7      0.7

x = -3              The answer is x = -3.

Answer:

B

Step-by-step explanation:

By visual inspection, determine the best-fitting regression model for the
scatterplot.
y
5
Pood
A. Exponential
B. Quadratic
C. No pattern
D. Linear

Answers

Answer:

The answer is Exponential

Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.

The correct option is A.

As per the given diagram,

the scatter plot shows an exponential function.

To determine the best-fitting regression model for a scatterplot that follows an exponential function, we need to use exponential regression. Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.

Therefore, an exponential regression model is appropriate.

To learn more about exponential;

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Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
93.5 feet^2
187 feet^2
46.8 feet^2
102.3 feet^2

Answers

Answer:

93.5ft

Step-by-step explanation:

What is the equation of the given line?

Answers

Answer:

y=0x+5

Step-by-step explanation:

Answer:

2,2gggffgigzrfgcf gg cyg

What is ten kilograms minus thirty gram?

Answers

Answer:

10kg-30g

10×1000g - 30g

(10000 - 30) g

9970g

if it helps don't forget to like and Mark me

What is the exact area of a regular hexagon with a side length of 8 cm? Enter your answer in the box. cm​

Answers

Answer:

A≈166.28cm²

Step-by-step explanation:

A=[tex]\frac{3\sqrt{3} }{2} a^{2} = \frac{3 x \sqrt{3} }{2} x 8^{2} = 166.27688cm^{2}[/tex]

Ms. Smith and Mr. Roberts are running a race. Ms. Smith runs 8, 305 feet. Mr. Roberts runs 2 miles. How many feet further does Mr. Roberts run? (Reminder: 1 mile = 5,280 feet)

Answers

Answer:

Mr. Roberts runs 2,255 more feet then Ms. Smith.

Step-by-step explanation:

So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.

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