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

Solve the following equation 4×6x−7=1 x= log8log6 x= log2log6 x= log6log8 x= log6log2

Answers

Answer:

The value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].

Step-by-step explanation:

Solve the equation as follows:

[tex]4\times 6^{x}-7=1[/tex]

     [tex]4\times 6^{x}=7+1[/tex]

           [tex]6^{x}=\frac{8}{4}[/tex]

           [tex]6^{x}=2[/tex]

Take log on both sides.

[tex]\log(6^{x})=\log(2)[/tex]

[tex]x\log (6)=\log(2)[/tex]

        [tex]x=\frac{\log(2)}{\log(6)}[/tex]

Thus, the value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].

Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degrees and the measure of the first arc formed is x. One tangent intersects the circle at a point labeled Earth.
A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see?

Answers

Answer:

Your answer is 160

Step-by-step explanation:

Just did this on edg.

The measurement of asked arc is 160°.

What is the arc of a circle?

An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that. the two tangents intersect at a point outside the with circle center O

The angle formed between the two tangent = 20°

The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see (refer to the attached figure)

The angle x is given by the relationship;

x = 2 × (90 - v/2)

Where;

v = The angle formed at the point where the two tangent meet = 20°

Therefore;

x = 2 × (90 - 20/2) =  2 × (90 - 10) =  2 × 80  = 160°

The arc measure, x, that the satellite can see = 160°.

Hence, the measurement of asked arc is 160°.

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4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
1. $14,310.40
2. $14,990.90
3. $15,290.70
4. $15,737.50
5. $16,935.80

Answers

Answer:

12590/80*100 = $15,737.50 4. Is your Answer

Step-by-step explanation:

12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.

*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?

Answers

Answer:

Austin's football

Step-by-step explanation:

If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!

Answer:

austin's

Step-by-step explanation:

What is 4+4 will mark as brainliest

Answers

Answer: 8 ?


Explanation?

Answer:

8

Step-by-step explanation:

if you have 4 books and I add you another 4 books you will have 8 books altogether.

Joey is at the pet store wanting to purchase a puppy. The cost of the puppy is $65. He will need to purchase supplies for his new puppy. The puppy food and training pads are the same price. If Joey spends $97 on this total purchase, how much would the puppy food and training pads cost? Explain your answer.

Answers

The answer is :
97+65= 162
The final answer is $162

Answer:

97 - 65 = $32 for both the puppy food and training pads

32 / 2 = $16 for the puppy food and $16 for the training pads

Part 3. Identify the X intercepts for

y = (x+4)^2-9​

Answers

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

To find the x intercepts, plug in y = 0 and solve for x

y = (x+4)^2 - 9

0 = (x+4)^2 - 9 ... replace y with 0

9 = (x+4)^2

(x+4)^2 = 9

x+4 = plus/minus sqrt(9)

x+4 = sqrt(9)  or   x+4 = -sqrt(9)

x+4 = 3   or   x+4 = -3

x = 3-4    or   x = -3-4

x = -1     or     x = -7 You have the correct answers. Nice work.

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

Checking each answer:

Plug x = -1 into the original equation. You should get y = 0 as a result

y = (x+4)^2 - 9

y = (-1+4)^2 - 9

y = (3)^2 - 9

y = 9-9

y = 0 .... so this confirms x = -1 as a solution

The same should apply for the other potential solution x = -7

y = (x+4)^2 - 9

y = (-7+4)^2 - 9

y = (-3)^2 - 9

y = 9-9

y = 0 .... this confirms x = -7 as well

what kind of growth model (pattern) is showen in the table x 1, 2, 3, 4, 5 y 5, 25, 125 ,635 ,3,125

Answers

Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?

Answers

Answer:

68

ignore the rest of this i need 20 charecters

Answer:

68%

Step-by-step explanation:

the base of a pyramid is equilateral triangle of side 8cm long. If the altitude of the pyramid is 15cm ,find it's volume​

Answers

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.

Answers

B is the correct answer

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Find the distance between (-3, 3) and (-3, -3).

Answers

Answer:

6

Step-by-step explanation:

Since the  x coordinate is the same, we only have to look at the y coordinate

3 - -3 = 3 +3 = 6

The distance is 6

Answer:

6

Step-by-step explanation:

Notice that x does not change.  We do go from y = -3 to y = 3, so the distance between these two y-values is 3 - (-3) = 6

4x+2/2 -(-2) find the answer​

Answers

Answer:

[tex]4x+3[/tex]

Step-by-step explanation:

[tex]4x+2/2 -(-2)[/tex]

[tex]4x+1 -(-2)[/tex]

[tex]4x+1 +2[/tex]

[tex]4x+3[/tex]

Answer: =4x+3

Step-by-step explanation:

4x+ 2 /2 −(−2)

=4x+1+2

then you Combine the Like Terms:

=4x+1+2

=(4x)+(1+2)

=4x+3

Hope this helps :)

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

2x+1

The width is 2x+1

Answer:

( 2x + 1 )

Step-by-step explanation:

10x^2 + 5x

it could also be;

5x (2x + 1)

so, the width is( 2x +1)

Based on the equation 3x + 8y = 48, what is the missing value in the table?

Answers

Answer:

24x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I did the edu test hope this helps♡

Please help! Correct answers only!

Out of 100 tickets in a raffle, one ticket will win a $150 prize, one ticket will win a $130 prize, one ticket will win a $110 prize, and one ticket will win a $40 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

" Expected Payoff " = $ 4.30

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Winning the 150 Dollar Prize - 1 / 100,\\Probability * Money Won = " Expected Payoff " For The 150 Dollar Prize,\\\\1 / 100 * 150,\\" Expected Payoff " - 1.5 Dollars,\\\\Probability of Winning the 130 Dollar Prize - 1 / 100,\\\\1 / 100 * 130,\\" Expected Payoff " - 1.3 Dollars,\\\\Probability of Winning the 110 Dollar Prize - 1 / 100,\\\\1 / 100 * 110,\\" Expected Payoff " - 1.1 Dollars,\\\\Probability of Winning the 40 Dollar Prize - 1 / 100,\\\\[/tex]

[tex]1 / 100 * 40,\\" Expected Payoff " - 0.4 Dollars,\\\\Conclusion ; " Expected Payoff " = 1.5 + 1.3 + 1.1 + 0.4 = 4.30 Dollars[/tex]

Solution ; " Expected Payoff " = $ 4.30

Answer:  $4.30

Make a table as shown in the diagram below. X represents the winnings, P(X) is the probability of getting such winnings. The third column X*P(X) represents the product of the first two columns. After you figure out every value in the third column, you add everything up to get the final answer.

i know it's a dumb question but please just answer it.
What is 2 x 1/6 =?

Answers

Answer:

answer is 0.33333333

Step-by-step explanation:

Answer:

0.33333333333

Step-by-step explanation:

My calculator gave me 1/3 but the real answer is 0.333 etc

different calculators give you different answers

Evaluate (x + y)^0for x = -3 and y = 5.
-1/2
2
1 0

Answers

Answer: 2

Step-by-step explanation:

[tex](-3+5)^0=2[/tex]

The answer for this question is 2 , Hope this helped’

What is the result of subtracting the second equation from the first?
-2x+y=0
7x+3y=2

Answers

Answer:

5x -2y = -2

Step-by-step explanation:

-2x+y=0

-7x+3y=2

Subtract the second equation from the first

-2x+y=0

7x-3y=-2

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

5x -2y = -2

A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer:

Answers

Answer:

The correct option is;

105 band members

Step-by-step explanation:

The 5 values are

Minimum value = 80

Q₁ = 90

Q₂ = 105

Q₃ = 115

Maximum value = 130

Whereby the horizontal axis indicates the number of band members is a school, while the 5 values of the box plot are the percentiles of the schools in Orange County and also that the lines are graduated in increments of 5, we have that the median = 105 which is the 50% mark, therefore;

50% of high schools in Orange County have more than 105 band members.

Answer:

The answer would be 105

Step-by-step explanation:

I got this right on Khan Academy <33

A (x+4,y-2)
B (x+2,y-1)
C (x-2,y+1)
D (x-4,y+2)​

Answers

[tex]answer \\ = (x - 2, y + 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment... \: [/tex]

C is the answer to your question

Please help with this question​

Answers

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]

[tex]\frac{5^{8+-2}}{5^4}[/tex]

[tex]\frac{5^{6}}{5^4}[/tex]

[tex]5^{6-4}[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math

Answers

Answer:

119,940 books are not about math.

What I did:

60x2000=120,000

120,000-60=119,940

Answer:

119940

Step-by-step explanation:

.05 % are about math

b= books

b * .05% = 60

Change to decimal form

b * .0005 = 60

Divide each side by .0005

b = 60/.0005

b =120000 books in the store

we want the ones not about math

120000-60

119940

3 x 4 x 5 x m x n = ???????

what does it equal???

Answers

3 x 4 x 5 x m x n = 60mn

The equivalent expression for the given expression is 60mn.

The given expression is 3×4×5×m×n.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here, 3×4×5×m×n = 60mn

Therefore, the equivalent expression for the given expression is 60mn.

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I want help! Please

Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.​

Answers

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

Please help me will mark brainliest

Answers

Answer:

-10

Step-by-step explanation:

Let the polynomials A = 7x² + 3xy e B = -3xy.
Determine A + B

a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to add up both polynomials together :

A = 7x² + 3xy

B = -3xy

A + B = 7x² + 3xy + (-3xy)

= 7x² + 3xy - 3xy

= 7x²

Which point is between points c and e

Answers

Answer:

the answer is D

Step-by-step explanation:

Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!

Answers

Answer:

[tex]h=\frac{1452}{7\pi }[/tex]

Step-by-step explanation:

[tex]84=\pi \left(\frac{7}{11}\right)^2h\\\mathrm{Switch\:sides}\\\pi \left(\frac{7}{11}\right)^2h=84\\\frac{49\pi }{121}h=84\\[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}121\\121\cdot \frac{49\pi }{121}h=84\cdot \:121\\49\pi h=10164\\\mathrm{Divide\:both\:sides\:by\:}49\pi \\\frac{49\pi h}{49\pi }=\frac{10164}{49\pi }\\h=\frac{1452}{7\pi }\\or\\h=66.0266[/tex]

Answer:

h=66

Step-by-step explanation:

84=22/7 *(7/11)^2*h

84=22/7*49/121*h

84=(22*49/7*121) * h   ( we simplify by 7  and 11)

84=2*7/11 *h

84=14/11 *h

84=14h/11

:14

6=h/11

h=6*11

h=66

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