Cab A charges $20 at the start and $5 every mile after . Cab B charges $30 no matter how far you go. What are their initial values and their rates of change? When will their fares be equal?

Answers

Answer 1

Answer:

Car A: Initial Charge = 20

Car B: Initial Charge = 30

Car A: Rate = 5

Car B: Rate = 0

At 2 miles, their charges will be the same

Step-by-step explanation:

Given

Car A

[tex]Base\ Charge = \$20[/tex]

[tex]Rate = \$5[/tex] per mile

Car B

[tex]Base\ Charge = \$30[/tex]

Solving (a): The initial charge

First, we get the  linear equation that represents both car's charges.

Represent number of miles with m.

So, the charges is:

Car A

[tex]A = Base\ Charge + Rate * m[/tex]

[tex]A = 20 + 5 * m[/tex]

[tex]A = 20 + 5m[/tex]

Set m to 0 to get the initial charge:

[tex]A = 20 + 5*0[/tex]

[tex]A=20[/tex]

and

[tex]Rate = 5[/tex]

Car B:

[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0

[tex]B = 30+ 0 * m[/tex]

[tex]B = 30[/tex]

So:

[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]

Solving (b): When their charge wil be equal.

To do this, we set:

[tex]A = B[/tex]

[tex]20 + 5m = 30[/tex]

[tex]5m = 30- 20[/tex]

[tex]5m = 10[/tex]

[tex]m = 2[/tex]

At 2 miles, their charges will be equal


Related Questions

What is the area of this parallelogram

Answers

Answer:

B. 12.25

Step-by-step explanation:

A=bxh=3.5·3.5=12.25

Answer:

17.15

Step-by-step explanation:

There are 2 ways to solve this.

One way is this:

Add 1.4 and 3.5 together to get the total length of the parallelogram. The sum would be 4.9. Then multiply this number by the height of the figure(3.5cm). So that the product of 4.9 and 3.5 is 17.15.

The second way is this:

Find the area of the two triangles and the square and then add those products together. So add:

1.4 x 3.5 ÷21.4 x 3.5 ÷23.5 x 3.5

So solve this equation and you will get:

2.45 + 2.45 + 12.25=17.15

B. Subtract the following integers
16.9 - (-5) =
17. - 12 - ( + 8) =
18. 15 - 9=
19. - 5 - (-8)=
20. - 11 - ( + 14 ) =​

Answers

Answer:

16. 9 - (-5) = 21.9

17. -12 - ( + 8) = -4

18. 15 - 9 = 6

19. -5 - (-8)= 3

20. -11 - ( + 14 ) =​ -25

Step-by-step explanation:

Subtracting a negative from another number is the same as adding the number.  Thus, 16.9 - (-5) = 16.9 + 5.

Hope it helps <3 :)

Answer:

16.9-(-5)=21.9

17.-12-(+8)= -3

18.15-9=9.15

19.-5-(-8)=22

20.-11-(+14)=-5

Factorise 9x^2y+12xy^2

Answers

Answer:

3x(3xy + 4y^²).

Step-by-step explanation:

Mskqkkqkaak

Sam says: 9.05kg is equal to 9500g. Is he right or wrong? Explain your answer.

Answers

Answer:

Step-by-step explanation:

Sam is wrong because 9,05 kg =9050g which is different to 9500g

Answer:

wrong 1 kilo in a gram is 1000 so u just going to add 1 zero on the back so 905+0= 9050 grams

The table shows values for functions f(x) and g(x)

What is the solution to f(x)=g(x) ?

Select each correct answer.




A. −3

B. −2

C. −1

D. 0

E. 1

F. 2

G. 3

Answers

Answer:

E) 1

Step-by-step explanation:

this is when both functions have the same value

BRAINLIEST WILL GIVE

Answers

Answer:

Commutative

Step-by-step explanation:

because both sides contain 4.3 + g in any order.

Answer:

this is commutative Property of Addition because they are showing that even when you change the order, the sum will equal the same amount.

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️☁️

Find the area of the triangle

Answers

Answer:

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

Step-by-step explanation:

Expresa el área del cuadrado interno con un polinomio,luego calcula el área
x = 4y y = 10.
Es para hoy ayudaaaaaa

Answers

Answer:

si me ayudas diciéndome de qué materia es y qué grado eres Y qué página es Con gusto te ayudo pero si no es de quinto grado página 83 y 82 del trimestre 1 de la guía tal vez no te lo pueda responder pero te envió una foto para que veas Sí sí es lo que estás buscando o no

Markup & Markdown

In the questions below, you will be ask about situations involving markups and

markdowns. Anytime your answer deals with money, round to the nearest hundredths place and

include proper unit labels. Be sure to show all of your work for each problem.

1. The managers at the hunting store usually determine their prices by using a markup of 11

percent. If they purchased camo pants for $45 each, what will be the price for their customers?

2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices

each fly for the customers at $3.75, what is the markup percentage?

0.45+100x 11=4.95+45=49.95

50-1008 2.50 = 1.25=50%,

3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If

they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are

using?

Answers

Answer:

$49.95 ; 50% ; 33.33%

Step-by-step explanation:

1.)

Markup % = 11%

Purchase price = $45

Selling price will be :

(100 + 11)% * $45

1.11 * $45 = $49.95

2.)

Purchase price = $2.50

Selling price = $3.75

Markup % :

Profit / purchase price * 100%

[(3.75 - 2.50) / 2.50)] * 100%

1.25 / 2.50 * 100%

0.5 * 100% = 50%

3.)

Purchase price = $3.75

Selling price = $5.00

Markup % :

Profit / purchase price * 100%

[(5.00 - 3.75) / 3.75)] * 100%

1.25 / 3.75 * 100%

0.3333 * 100% = 33.33%

If you have a cylinder with a volume of 282.6 ft3 and a cone with a congruent radius and height. What is the volume of the cone

Answers

The volume of a cone is 1/3 the volume of a cylinder with congruent dimensions, so:

286.6 / 3 = 95.53333... ft3

Rachelle bought x pounds of fruit for
$2 per pound and a gallon of milk for
$3.79. She spent a total of $17.29. Write
an equation that can be used to find
how many pounds of fruit she bought.

Answers

Step-by-step explanation:

step 1. 2x + 3.79 = 17.29. this is the answer.

help me please i will give brainliest and excellent and thank you






math​

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1) know your grams and centigrams!

     1 Grams = 100 Centigrams

2)  If you want to find the centigrams, all you gotta do is; multiply the gram to 100.

For example: This bar of chocolate has 100 grams of sugar. I wonder what is the mass in centigrams?

100 grams * 100 centigrams = 1,000 Centigrams.

3) To answer your question; multiply 347 by 100!

   347 * 100 = 34,700 centigrams.

Hope this helps!

(06.04 HC) The graph shows Wilson's science scores versus the number of hours spent doing science homework. A graph titled Wilsons Science Scores shows Hours of Practice in a Week on x axis and Science Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 15 and 0.5, 18 and 1, 18 and 1.5, 25 and 2, 30 and 2.5, 35 and 3, 40 and 3.5, 43 and 4, 41 and 4.5, 45 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 14.9 and 5, 50. What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week? (5 points) Group of answer choices 33 points 42 points 52 points 55 points

Answers

Answer:

The answer 55

Step-by-step explanation:

Because it goes up by five for they gave us the amount of point they get for 5 hours and the amount of point he had for 5 hours was 50 so we just needed to add 5 more and 50+5= 55

I don't know if I made myself clear but good luck! :)

Answer

Personally I think it's 55 as well!

Step-by-step explanation:

Good luck! :)))

Find the slope. (10,-6) and (13,-7)

Answers

Answer:

-1/13

Step-by-step explanation:

i did it

In the year 2001, a person bought a new car for $15500. For each consecutive year after that, the value of the car depreciated by 5%. How much would the car be worth in the year 2005, to the nearest hundred dollars?

Answers

Answer:

$12,000.

Step-by-step explanation:

Given that in the year 2001, a person bought a new car for $ 15500, and for each consecutive year after that, the value of the car depreciated by 5%, to determine how much would the car be worth in the year 2005, to the nearest hundred dollars, the following calculation must be performed:

100-5 = 95

15,500 x 0.95 x 0.95 x 0.95 x 0.95 x 0.95 = X

14.725 x 0.95 x 0.95 x 0.95 x 0.95 = X

13,988.75 x 0.95 x 0.95 x 0.95 = X

13,289.3125 x 0.95 x 0.95 = X

12,624.846875 x 0.95 = X

11.993.60453125 = X

Thus, to the nearest hundred dollars, the cost of the car after 5 years will be $ 12,000.

In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86

Answers

the answer to your question is C

Four coordinates A, B, C and D form a rectangle.
A = (2,8), B = (9, 2) and C'=(2, 2)
What are the coordinates of D?​

Answers

Answer: (9,8)

Thats the answer

kate pays $203 in advance on her account at the athletic club. Each time she uses the club, $9 is deducted from the account. Find the remaining in the account after 12 visits

Answers

Answer:

95

Step-by-step explanation:

The equation to solving this would be 203 - (9 multiply 12). If you multiply 9 and 12 you get 108. Minus 108 from 203 and you get 95.

Test is due Wednesday and I need urgent help. I will give good review!

Answers

Answer:

B and D

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

What is the percent of decrease from 20 to 19?

Answers

20-19= 1 1% had decrease answer is -1%

Answer: 5%

Step-by-step explanation:

If 20 = 100% , 1 = 5%

20 - 19 = 1

So the percent of decrease = 5%

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark my answer brainliest!

PLZ HELP!! I NEED QUICKLY!!
Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?

Answers

Answer:

no worries about the other day and I had literally forgotten about the other night and was just so I could tell me how I felt and I had a flat rate that you and I had a

The figure of y = x will be a straight line with slope 1 and they ;lie in the first quadrant and the third quadrant.

What is Linear Function?

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.

We have to choose 5 ordered pairs first whose first and second coordinate are equal.

Let the coordinates be (-4, -4), (-2, -2), (0, 0), (2, 2) and (4, 4).

The ordered pairs are of the form (x, x), that both the coordinates have same value.

So we get a linear function y = x

The graph of a linear function will be a straight line.

Since y = x, the graph will be a straight line which tends to the positive direction and the slope of the line = 1.

That is , the angle that the line making with the X axis is 45°.

And the figure lies on first and third quadrant.

Hence the figure of y = x would be a straight line with slope 1.

To learn more about Linear Functions, click :

https://brainly.com/question/21107621

#SPJ2

Suppose that a sample is taken from a population whose mean value is 76.
As the sample size increases, the sample mean will approach which value?

Answers

Answer:

The sample mean will approach 76

Step-by-step explanation:

Refer to Law of large numbers (LLN) and the central limit theorem (CLT)

For random sample, with sample size n, in population with expected value μ, the sample mean converge almost surely to the expected value μ as n -> ∞

Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 19 grams?

Answers

Answer:

Step-by-step explanation:

760·0.5^(t/9) = 19

0.5^(t/9) = 19/760

2^(-t/9) = 0.025

-t/9 = log₂(0.025)

t = -9log₂(0.025) = 47.9 minutes

Answer:

47.9 minutes

Step-by-step explanation:

pls help quickly maath

Answers

It is A
Because it says squares to the circles
So you count the squares first then the circles
So it is 3/6 .

Answer:

It should be A

Step-by-step explanation:

Since it is asking for the squares to circles, it is not option c. B is also incorrect because the ratio is not correct, which leaves the only answer to be A.

Jeff had 20 $ he spent 1/8 on his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left

Answers

Answer:

9.50$

Step-by-step explanation:

First, multiply 20 by the given fractions

20*1/8=2.5

20*2/5=8

Add the two together to get the total amount of money Jeff spent, 10.5, then subtract 10.5 from 20 to get the total amount he has left, 9.5

Answer:

$9.50

I did a test with this question and the correct answer was 9.50

Which of the following pairs of ratios are equivalent?
1) 38 : 133 and 16 : 56 , 2) 15 : 20 and 28 : 56

Answers

Answer:

38 : 133 and 16 : 56 are equivalent

Step-by-step explanation:

Given

1) [tex]38 : 133[/tex] and [tex]16 : 56[/tex]

2) [tex]15 : 20[/tex] and [tex]28 : 56[/tex]

Required

Determine which is equivalent

1) [tex]38 : 133[/tex] and [tex]16 : 56[/tex]

[tex]Ratio = 38 : 133[/tex]

Divide by 19

[tex]Ratio = 2:7[/tex] --- can't be further simplified

[tex]Ratio = 16 : 56[/tex]

Divide by 8

[tex]Ratio = 2:7[/tex]

Hence:

[tex]38 : 133[/tex] and [tex]16 : 56[/tex] are equivalent

2) [tex]15 : 20[/tex] and [tex]28 : 56[/tex]

[tex]Ratio = 15 : 20[/tex]

Divide by 5

[tex]Ratio = 3 : 4[/tex]

[tex]Ratio = 28 : 56[/tex]

Divide by 28

[tex]Ratio = 1:2[/tex]

Hence, both are not equivalent.

Which step could you use to start solving the system of equations below?*
x + y = 3
-3x – 2y = -7

Answers

i think it’s option 2

Hi can someone please answer and explain all you work thank you! I’ll mark brainliest

Answers

the amount he would make if he broke none:
576 x 0.05 = 28.80

subtract what he made from this:
28.80 - 22.71 = 6.09

divide 6.09 by 1.98 to see how many glasses he broke:
6.09 / 1.98 = 3.0757

he broke 3 to 4 glasses.

Jenny earns $30 a day working part time at a supermarket. Write an expression to represent the amount of money she will earn in d days.

Answers

Answer: d($30)

Explanation: $30 times d which d is the number of days.

Find the distance between (-5,6)and (3,2).

Answers

Answer:

[tex]\displaystyle d = 4\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formulas]:                                                     [tex]\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract:                                       [tex]\displaystyle d = \sqrt{(8)^2+(-4)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                    [tex]\displaystyle d = \sqrt{64+16}[/tex][Distance] [√Radical] Add:                                                                             [tex]\displaystyle d = \sqrt{80}[/tex][Distance] [√Radical] Simplify:                                                                         [tex]\displaystyle d = 4\sqrt{5}[/tex]
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