Taxi company A charges $4 plus $2 per mile. Taxi company B charges $5 plus $3 per mile. Which system best represents this problem?



y = 4 x + 0 . 5 , y = 5x + 0.25

y = 4 + 2x , y = 5+3x

y = 4 x + 1 5 , y = 15x + 2

y = - 0 . 5 x + 4 , y = -0.25x + 5

Answers

Answer 1

Answer:

The second option

Step-by-step explanation:

To solve this, you should convert both rates to equations, with y being the total fare, and x being the number of miles. The rates of both use the format y=mx+b (where m is the amount per mile and b is the flat rate, or original rate).

By subbing in the values for m and b, you get y=2x+4 for A and y=3x+5 for B. This is the second option.

**This question involves writing linear equations, which you may wish to revise. I'm always happy to help!


Related Questions

The following expressions are factorizations of 60. Which is the prime factorization?

Answers

Answer:

d

Step-by-step explanation:

press 60 on your casio calculator then the equal sign then shift and then 3rd row this button ".,,," which means factorise

The point-slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1) what is the slope-intercept form of the equation for this line

Answers

Answer:

y = (1/2)x + 2 1/2

Step-by-step explanation:

y - 3 = (1/2)(x - 1)

Distribute the 1/2

y - 3 = (1/2)x - 1/2

Add 3 to both sides

y = (1/2)x + 2 1/2

Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,

HELP!!! please

Answers

Answer:

38

Step-by-step explanation:

triangle

Help!’!!!!!!!!! And thanksss

Answers

hi! so in order to do this problem, you need to figure out what percent 76 is of 80. you can do this by dividing 76 by 80! so just do 76/80, and convert to a percent!

what is the following product ? (sqrt14-sqrt3)(sqrt12+sqrt7)

Answers

Answer:

Step-by-step explanation:

[tex](\sqrt{14}-\sqrt{3})(\sqrt{12}+\sqrt{7})=\sqrt{14}*\sqrt{12}+\sqrt{14}*\sqrt{7}-\sqrt{3} *\sqrt{12}-\sqrt{3} *\sqrt{7}\\\\=\sqrt{14*12} + \sqrt{14*7}-\sqrt{3*12}-\sqrt{3*7}\\\\=\sqrt{2*7*2*2*3} + \sqrt{2*7*7}-\sqrt{3*3*2*2}-\sqrt{3*7}\\\\=2\sqrt{2*7*3}+7\sqrt{2}-3*2-\sqrt{21}\\\\= 2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}[/tex]

The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units

Answers

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)

Step-by-step explanation:

According to the Question,

Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.

Now, Let The Coordinates of Point C are C( x , y ) .

Thus, C( x , y ) =  [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]

        The Coordinates of Point C are C( x , y ) =  [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).

And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .

       Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex]  =  [tex]\frac{-1}{\frac{-1}{3} }[/tex]  ⇔  3.

Let the coordinate of D be (a, b) then

       ⇒ √{ (b - 2)² +(a - 5)² } = √10

      on squaring both sides we get,

       ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

       ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)

We Know, the slope of CD = 3

     ⇒Thus,  (b - 2)/(a - 5) = 3

     ⇒ b - 2 = 3a - 15

     ⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

 ⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

 ⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

 ⇒10a² - 100a + 240 = 0

 ⇒a² - 10a + 24 = 0

 ⇒(a - 4)(a - 6) = 0

 ⇒a = 4 or a = 6

Now,

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10

Answers

900Answer:900

Step-by-step explanation:

When 9 is added to five times a number, we get 19. The number is

Answers

Answer:

the number is 2

Step-by-step explanation:

5x2=10+9=19

It is number to your welcome man

PLEASE PLEASE I RLY NEED HELP ...... ....... . .. . . . . . . . . .... . . . Pick three Enlightenment thinkers and explain how they inspired America’s founders.

Answers

Answer:

Enlightenment philosophers John Locke, Charles Montesquieu, and Jean-Jacques Rousseau all developed theories of government in which some or even all the people would govern. These thinkers had a profound effect on the American and French revolutions and the democratic governments that they produced.

I am guessing your in the same situation as me sweeping across the internet for help in our summer school history classes well I found this hope it helps

you guys know the drill,

Triangle ABC has side lengths of 2 cm, 4 cm and 5 cm. Triangle DEF has side lengths of 6 cm, 11cm, and 20 cm. Can triangle ABC and triangle DEF be dilations of each other? Explain.

Answers

Answer:

No because they are not proportional. 2•3=6 but 4•3 does not equal 11.

A circle has a circumference of 616 cm.
What is the approximate radius of the circle? (Use 22/7
as an estimate for pi.)
A 14 cm
B. 49 cm
C. 98 cm
D. 196 cm

Answers

Answer:

π =14 cm

Step-by-step explanation:

Given:

circumference of a circle =616 cm

pie(π)=22/7

circumference of a circle=πr^2

616=22/7 *r^2

616*7/22 =r^2

4312/22 =r^2

196=r^2

[tex]\sqrt{196}[/tex] =r

14 =r

it is a 14 cm have a great rest of your day

help help me please!!!

Answers

Answer:

it is 32

Step-by-step explanation:

the answer is 32 it is the answer

Answer:

32

Step-by-step explanation:

20% of 40 is 8

so 40-8=32

its urgent please help ASAP ty!!

Answers

Answer:

the answer choices oh uhm I think i

it’s 18:00 because she was out for 30 mins

Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?

Answers

Answer:

yes

Step-by-step explanation:


What is the missing side length in the triangle?


Answers

The length of missing side is 45

square root of 44,100 by division​

Answers

210 IS THE POSSIBLE ANSWER

Divide the number (44100) by 2 to get the first guess for the square root . First guess = 44100/2 = 22050. Step 2: Divide 44100 by the previous result

Question
Patrick has 4 green hats, 3 blue hats, and 1 orange hat. If he selects a hat at random, what is the
probability of selecting a green hat?

.
0.4
O 0.5
O 0.8

Answers

Answer:

0.5

Step-by-step explanation:

First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total      

                                            = 4 / 8                    

                                              = 1/2  

Answer have to be units please and thank you

Answers

2 units because it’s just a reflection so it’s still the same size

Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR

Answers

0Answer:

Angle PTR is 136*

Step-by-step explanation:

In Question, We Have Given

Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .

Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)  

Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .

Thus The Angle Of PTR is

∠PTR = 360* - ( 90*+90*+44*)

∠PTR = 360* - 224*

∠PTR = 136*

Diagram, Please Find In Attachment

Solve the following system by graphing and identify the point of intersection -2x - y=-12 2x-3y=4

Answers

Answer:

{x,y} ={10,-8}

Step-by-step explanation:

hope it help please mark me as brinnelist


A regular polygon of (2A+ 1) sides has 140°
as the size of each
interior angle. Find A​

Answers

Answer:

Ext angles = 40 degs 360/40 = 9 sides

Step-by-step explanation:

The solution set of 14x - 71 = 9 is

Answers

Answer:

40/7

Step-by-step explanation:

14x - 71 = 9

14x=80

x=80/14

x=40/7

The answer will be X = 5 5/7 if you do it as a 2 step equation

The number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day. The number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day. In how many days will these two warehouses contain the same number of boxes

Answers

Answer:

These two warehouses will contain the same number of boxes in 51 days.

Step-by-step explanation:

Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:

Warehouse A = 476 + 4X

Warehouse B = 986 - 6X

476 + 4 x 50 = 476 + 200 = 676

986 - 6 x 50 = 986 - 300 = 686

476 + 4 x 51 = 476 + 204 = 680

986 - 6 x 51 = 986 - 306 = 680

Therefore, these two warehouses will contain the same number of boxes in 51 days.

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x

Answers

Answer:

The answer is h(x)=(1/4)x

Step-by-step explanation:

The answer would be h(x) = 1/4x

work out 2/7 divided 7/8

Answers

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

I will give BRAINLIEST to the correct answer
Find the measure of angle 5

Answers

Answer:

84

Step-by-step explanation:

1 is = 84 since its a vertical angle.

5= 84 since its the corresponding angle in this tranversal.

Hoped this helped,

JoeLouis2

does anyone understand this or can anyone explain what i need to do please ?? there’s no instructions

Answers

Answer:

nah man... good luck tho

Evaluate the following expression at x = -5
-2x-3

Answers

Answer:

7.

Step-by-step explanation:

-5 x -2 = 10 (2 negatives being multiplies = positive)

Then, 10 - 3 = 7.

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

B:

C:

D:

Answers

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)

Answers

Answer:

B

Step-by-step explanation:

In fact in this case there is only a value of y when x is equal to 0

I think it has to be letter B I’m sorry if it’s wrong
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