Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?

Answers

Answer 1

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.


Related Questions

The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk

Answers

Answer:

p =  y + 2.55

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk

My answer:

Let p is the price of milk

Given the information:

Stage 1: The price of a gallon milk was $2.65

<=> p = 2.65  

Stage 2: rose y dollar

<=> p = 2.65   + y

Stage 3:  price dropped $.15

<=> p =  2.65   + y  - 0.15

Stage 4: rose again by $0.05

<=> p = 2.65  + y  - 0.15  + 0.05

<=> p =  y + 2.55

Hope it will find you well.

4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
How much juice do five bottles hold?
[tex]4 \frac{1}{2} litres[/tex]

Answers

Answer:

2[tex]\frac{1}{2}[/tex] litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres

5 juice bottles ===> x

∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]

x = [tex]\frac{5 * 4.5}{9} litres[/tex]

x = [tex]\frac{22.5}{9} litres[/tex]

x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres

Hope this helps!!!

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y=-2/3 x+6.What is the point-slope form of the equation for this line?

Answers

Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

y - 8 = -2/3x - 2

y = -2/3x + 6

Mr. Johnson has a garden in the shape of a kite with a length of 5 feet and a width of 4 feet. A bag of topsoil covers 10 square feet.

Answers

The area of each triangle is 5 ft²

The area of the garden is 10 ft²

The number of bags of topsoil needed is 1 bag

Hope this helps

-Carrie

Please mark brainliest

Stay safe

Answer:

The area of each triangle is ft

The area of the garden is 10  ft2.

The number of bags of topsoil needed is 1 .

PLEASE HELP!! In Moose, Wyoming, the snow level is modeled by the function y = 2x + 14. Here, y is the amount of snow in inches, and x is the number of hours after midnight (x = 0). 8. What is the meaning of the y-intercept in terms of the problem? 9. What is the meaning of the slope in terms of the problem? 10. What was the snow level at 8 a.m., when x = 8?

Answers

Answer:

8. The y-intercept represents the 14 inches of snow 0 hours after midnight.

9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.

10. 30 inches

Step-by-step explanation:

8. given in the text

9. given in the text

10.

[tex]y=2x+14[/tex]

[tex]y=2(8)+14[/tex]

[tex]y=30[/tex]

What additional piece of information must be known in order to calculate the volume of the cylinder below?

A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base

Answers

U also need to know the height of the cylinder

The formula for the volume of a cylinder is V= pi * r^2 * h

Answer:

height of the cylinder

Step-by-step explanation:

Need Answer ASAP will give branliest to the first right answer

The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.



Have Rabbits

Do Not Have Rabbits

Total

Have Dogs

22

18

40

Do Not Have Dogs

23

27

50

Total

45

45

90



How many more students have rabbits than dogs?


1

4

5

10

Answers

10 more students have rabbits than dogs
10 more students have rabbits than dogs

After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?

Answers

Answer:

The diver is 29 ft below the water surface

Step-by-step explanation:

Here, we are interested in calculating the diver’s final depth before the surface of the water.

Firstly he descends 18 feet before ascending 7 feet. His depth would thus be;

18ft -7ft = 11 ft initially

It is at this point he descended a further 18 feet which makes his total feet of descent = 11 ft + 18 ft = 29 ft

This means he is 29 ft below the surface of the water

Answer:

-29

Step-by-step explanation:

The diver is 29 ft below the water surface

How many points does a plane have that is on the same line



Answers

In a three-dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line.

Point AAA is at {(-3, 4)}(−3,4)left parenthesis, minus, 3, comma, 4, right parenthesis and point CCC is at {(2,-6)}(2,−6)left parenthesis, 2, comma, minus, 6, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC started overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 4:54:54, colon, 5.

Answers

Answer:

The coordinates of point B = (1, -4)

Step-by-step explanation:

Complete Question

Point A is at (−3,4) and point C is at (2,−6). Find the coordinates of point B on line AC such that the ratio of AB to AC is 4:5.

Solution

Point B divides line AC into two parts

A = (-3, 4)

C = (2, -6)

AB:AC = 4:5

If (AB/AC) = (4/5)

5AB = 4AC

But AC = AB + BC

5AB = 4(AB + BC)

5AB = 4AB + 4BC

5AB - 4AB = 4BC

AB = 4BC

(AB/BC) = (4/1)

AB:BC = 4:1

Hence, point B divides line AC internally into two parts with ratio 4:1

Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + mx₁)/(m + n)]

y = [(my₂ + my₁)/(m + n)]

For this question,

x₂ = 2

x₁ = -3

y₂ = -6

y₁ = 4

m = 4

n = 1

Point B is then described with coordinates

x = [(4×2 + 1×-3)/(4+1)] = (5/5) = 1

y = [(4×-6 + 1×4)/(4+1)] = (-20/5) = -4

Hence, the coordinates of point B is given as

(x, y) = (1, -4)

Hope this Helps!!!

Answer:

(-3,-3)

Step-by-step explanation:

above.

How many cookies would you expect to be rejected in a sample of 10,000 cookies?

Answers

Answer: 456

Step-by-step explanation:

idk if this is right i dont have anouf to be 100% sure but thats about right sorry if its not, i would try and put more info in next time to get a closer answer

Answer: Depending on who is tasting them, and their love for cookies iam going for something along the lines of 4750

Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)

Answers

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold

Answers

Answer:

A) 84.78

B) 42.39

Step-by-step explanation:

A)

[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]

B)

[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]

Hope this helps!

Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.

Answers

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

What is the average rate of change from x = 0 to x = −2?

Answers

Answer is    -3

How I got that answer:

The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-2-0)

m = (2 + 4)/(-2-0)

m = 6/(-2)

m = -3

A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.

Translate this sentence into an equation.
The product of Victor's age 7 and is 84 .
Use the variable v to represent Victor's age.

Answers

Answer:

The product of Victor's age and 7 is 84 in equation form is 7v=84

Step-by-step explanation:

Let v be the  Victor's age.

We are supposed to Translate this sentence into an equation

The product of Victor's age and 7 is 84

Victor's age = v

Product of victor's age and 7 =[tex]7 \times v[/tex]

We are given that their product is 84

So,[tex]7 \times v =84[/tex]

Hence The product of Victor's age and 7 is 84 in equation form is 7v=84

what is her answer ?

Answers

Answer:

4

lolz sorry for a late answer bud

Step-by-step explanation:

Using the following image, solve for UW

Answers

answer:15x

Step-by-step explanation:

because 2x +3 is 5x 5x+10 is 15x

Can someone help me this question?

Answers

Answer:

The answer is B.

Step-by-step explanation:

Answer:

Answer is B because it makes the most sense and AL ot of other people said it's B

What is the length of HG? What is the length of HI?

Answers

? + 8 = 11
Subtract 8 from both sides.
? = 3
HG = 8

? + 6 = 9
Subtract 6 from both sides.
? = 3
HI = 3

Answer:

HI = 3 and HG = 3

Step-by-step explanation:

As you see from the bottom line, the length of the HIJ line = 9. 9 - 6 (6 is the length of the IJ line) = 3, so 3 is the length of the HI line. On the second picture, 11-8=3, so HJ = 3.

Edit: Whoops, i didn't see the second picture.

What is the least common multiple of 4 and 12?
4
12
24
48

Answers

Answer: 12

Step-by-step explanation: To find the least common multiple or lcm of 4 and 12, begin by listing the first few multiples of each number.

Multiples of 6

1 × 6 = 6

2 × 6 = 12

3 × 6 = 18

Notice that we skipped 0 × 6 in our list of multiples.

That's because 0 × 6 is 0 and our least common multiple can't be 0.

When listing the multiples of 12, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.

Multiples of 12

1 × 12 = 12

Notice that 12 is also a multiple of 6 so our least common multiple is 12.

We can stop here because all other multiples

that we find will be greater than 12.

So the least common multiple or LCM of 4 and 12 is 12.

Answer:

The LCM is 12

3  times 4 = 12 :)

Are theses exaponents correct!??? 20 points

Answers

Answer:

YES

Step-by-step explanation:

YESSSSSSSSSSSSSSSSS IS THE ANSWER i think :))

Answer:yes they are all correct

Step-by-step explanation:

Put in a calculator 2^0=1

And 2^1=2

Remember the exponents tell you how many times you multiply the base number to itself

Hope that helps

What’s the answer to this?

Answers

Answer:

256

Step-by-step explanation:

First..

8*2=16

Now

16 (squared)=256

Answer:

The answer is 32

Step-by-step explanation:

8 x 2 is 16

16 is 2 is 32

pls give me brainliest, I show work

Juliet baked 30 brownies for a party.she gave 6 brownies to a friend. What percent of the brownies did juliet give het friend

Answers

Answer:

20%

Step-by-step explanation:

6/30 = blank/100

cross multiply

6 x 100

600/30 =20


What is the slope of the line whose equation is

y = - 3x + 6?

A. -1/2
B. 2
C. -3
D. 6

Answers

Answer:

-3

Step-by-step explanation:

Because it is multiplied by x

Answer:

C. -3

Step-by-step explanation:

The equation of the line is in point slope form.

y=mx+b

where m is the slope and b is the y-intercept.

The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.

We have the equation:

y=-3x+6

-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.

Therefore, the slope is -3 and the y-intercept is 6.

Since -3 is the slope, C is the correct answers.

What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?

Answers

Answer:

1 & 9

Step-by-step explanation:

I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.

Hope this helped!! Please mark as Brainliest and/or give a rating !! Thank You :)


Which shows the fractions in order from greatest to least?

A.5/10,1/4,3/4,5/7
B. 3/4,5/7,5/10, 1/4
C. 5/10,5/7,3/4,1/4
D.1/4, 3/4, 5/7,5/10

Answers

Answer:

Step-by-step explanation:

D

Work out the value of 5² - 19 x 24

Answers

Answer:

5² - 19 * 24

= 25 - 456

= -431

Answer:

-431

Step-by-step explanation:

25-19x24

25-456

-431


Factor the trinomial by grouping.
- 13x + 6 + 6x^2

Answers

Answer:

(2x-3)(3x-2)

Step-by-step explanation:

[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]

Hope this helps!

Topic: Probability


Only complete question 13.

Answers

Answer:

see below

Step-by-step explanation:

Assuming the comma means and

a) P(A , E) = P(A) * P(E) = .1 * .5 = .05

b) P( A, L, E) =  P(A) * P(L) *P(E) = .1 *.4* .5 = .002

C This means that it snows in Abbostford, Lehtbridge and Estevan today  is .002 or .2%

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