The cost c, in dollars, of a taxi ride is related to the
distance d, in miles, of the ride. The cost for taxi A is
given by the equation c = 3.5d + 2, and the cost for
taxi B is given by c= 3d + 5. For what distance is
the cost of each taxi ride the same? How much would
this trip cost?

Answers

Answer 1

Answer:

(3 , 2.5)

the trip would cost $12.5

12.5 = 3.5 (3)+2

12.5 = 3 (2.5)+5

Step-by-step explanation:

Answer 2

The distance at which the cost of each taxi is the same is 6 miles.

The trip would cost $23.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

Taxi A:

c = 3.5d + 2

Taxi B:

c = 3d + 5

Where c is the cost of the taxi after d distance.

Now,

The cost of the taxi is the same.

3.5d + 2 = 3d + 5

3.5d - 3d = 5 - 2

0.5d = 3

d = 3/0.5

d = 30/5

d = 6

The cost of the taxi at d = 6.

c = 3.5d + 2 = 3.5 x 6 + 2 = 21 + 2 = 23

c = 3d + 5 = 3 x 6 + 5 = 18 + 5 = 23

Thus,

The cost of both taxis is the same after 5 miles.

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Related Questions

factor the expression below x^2-16x+64

Answers

Answer:

(x - 8)^2

Step-by-step explanation:

Factor the following:

x^2 - 16 x + 64

The factors of 64 that sum to -16 are -8 and -8. So, x^2 - 16 x + 64 = (x - 8) (x - 8):

(x - 8) (x - 8)

(x - 8) (x - 8) = (x - 8)^2:

Answer: (x - 8)^2

40 POINTS !!!A poll shows that 70% of teenagers in the United States use social media. A random sample of 30 teenagers showed that 90% of them use social media. A number generator was used to simulate 30 samples from a population in which 70% of teenagers use social media. The results are shown in the dot plot.
WHAT IS THE CHANCE OF GETTING A SAMPLE PROPORTION OF 90% OR GREATER

Answers

Answer:

0.20

Step-by-step explanation:

0.20

-20-3x + 4) + 3x – 3 = -29

Answers

Answer:

look at the picture shown

PLZZ HELP Which expression is the factored form of −1.5w+7.5 ?


−1.5(w+5)

1.5(5+w)

1.5(w−5)

−1.5(w−5)

Answers

The right answer is Option 4.

Step-by-step explanation:

Given expression is;

-1.5w+7.5

To factorize this expression, we will first take -1.5 common to make w positive.

[tex]-1.5(w-5)[/tex]

Because 5 multiplied by 7.5 divided by -1.5 is -5.

Therefore;

The expression is factored form is -1.5(w-5).

The right answer is Option 4.

Keywords: subtraction, addition

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Final answer:

The factored form of the expression −1.5w+7.5 is −1.5(w-5), since −1.5 is the common factor for both terms in the expression.

Explanation:

The factored form of the expression −1.5w+7.5 can be found by factoring out a common factor. The common factor in this expression is −1.5, as both terms in the expression can be divided by −1.5.

Factoring out −1.5, we get:

−1.5w + 7.5
= −1.5 (w) + −1.5 (-5)
= −1.5 (w - 5)

Therefore, the factored form of −1.5w+7.5 is −1.5(w−5).

There are 8 soccer matches per day at Greenville's annual soccer tournament, which lasts 17 days. Estimate the number of soccer matches during the tournament by rounding the larger number to the nearest ten.

Answers

Final answer:

The estimation of the total number of soccer matches in Greenville's annual tournament, with 8 matches each day for around 20 days, is approximately 160 matches.

Explanation:

The student is asking for an estimation of the total number of soccer matches in Greenville's annual tournament. There are 8 matches each day, and the tournament runs for 17 days. The part of the question that asks you to round to the nearest ten refers to the 17 days, as this is the larger number. Rounding 17 days to the nearest ten would give us 20 days. Therefore, to estimate:multiply the rounded number of days (20) by the number of matches per day (8), yielding an estimate of 160 soccer matches during the tournament.

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Final answer:

The estimated number of soccer matches during Greenville's annual soccer tournament is 160 matches, calculated by rounding 17 days to 20 and multiplying by 8 matches per day.

Explanation:

To estimate the number of soccer matches during Greenville's annual soccer tournament, we round the larger number (17 days) to the nearest ten. Since 17 is closer to 20 than it is to 10, we round up to 20 days for our estimation. With 8 soccer matches per day, we then calculate the estimated number of matches as 8 matches/day × 20 days.

8 matches/day × 20 days = 160 matches

Therefore, an estimated 160 soccer matches will be played during the tournament.

12 ones 1 tens and 7 hundreds

Answers

12 ones, 1 tens, 7 hundreds=7112

Answer: 722

Step-by-step explanation:

Add 700, 10, and 12. Your answer added altogether is 722.

5x + 2y = 8
x
+y=4
If you want to solve the system of equations by addition, which of the following could you do?
Multiply the second equation by 5 and add.
Multiply the second equation by 2 and add.
Multiply the second equation by -2 and add.
NEXTOUESTION
ASK FOR HEID

Answers

Answer:

you multiply the second equation by -2.

Step-by-step explanation:

to get rid of y and find x. Then you plug x into one of the equations to find y

what is cos 0 if sec 0=2?

Answers

Step-by-step explanation:

[tex] \because \: \cos \theta = \frac{1}{\sec \theta} \\ \\ \therefore \: \cos \theta = \frac{1}{2} \\ \\ \therefore \: \cos \theta = \cos 60 \degree \\ \\ \huge \red{ \boxed{\therefore \: \theta = 60 \degree}}[/tex]

Answer:1/2

Step-by-step explanation:Plato

How to simplify (5+4)x2+4

Answers

PEMDAS 5+4=9 9x2=18 18+4=22. Your answer would be 22.

AnsWER:  22

Step-by-step explanation: (5+4)X 2+4

9X2+4

18+4

22

If f(x) = 10^x then what is the value of f(5)?

Answers

Answer:

100000

Step-by-step explanation:

f(5)=10^5

f(5)=100000

Answer:

100,000

Step-by-step explanation:

What is the solution to the inequality 12x < 252

Answers

Answer:

x < 21

Step-by-step explanation:

Given

12x < 252 ( divide both sides by 12 )

x < 21

Many of the colors in them were 'home dyed" although commercial dyes were unknown.
Read the passage. Look at the underlined section marked number 5. There may be a mistake in the way the sentence is written. If you
find a mistake, choose the answer that corrects the mistake. If there is no mistake, choose 'Correct as is.'
es )))
Correct as is
Many of the colors in them were 'home dyed, as commercial dyes were
unknown
Many of the colors in them were 'home dyed if commercial dyes were
unknown
Many of the colors in them were 'home dyed' whereas commercial dyes
were unknown

Answers

Answer:

b

Step-by-step explanation: i just know

Answer:

bb

Step-by-step explanation:

Many of the colors in them were "home dyed," as commercial dyes were unknown is the correct answer because "As" correctly begins the subordinate clause and shows the relationship to the main clause

Can someone please help me with this 7th grade math homework

Answers

Answer:

Step-by-step explanation:

i honestly dont even knw but i hope u get it right

what is the equation for 10x + 35

Answers

Answer:

5(2x + 7)

Step-by-step explanation:

If there is a 60% chance of rain tomorrow and a 40% chance of wind and rain,
what is the probability that it is windy, given that it is rainy? Round your
answer to the nearest percent.
O A. 78%
O B. 71%
OC. 67%
O D. 33%

Answers

Answer:

67%

Step-by-step explanation:

we are given the probability of rain tomorrow of 60 % and  a 40% chance of wind and rain. we are asked for the probability that it is windy, given that it is rainy. The formula that should be used is the quotient of the probability with "and" over the probability of the rain only. Hence, P[W U R ] / P [R] =  0.4 / 0.6 = 2/3 = 67%

:Answer: 67%

Step-by-step explanation:

APEX

A ladder on a fire truck has its base 8 ft. above the ground. The maximum length of the ladder is 100 feet. If the greatest acute angle the ladder can make with the ground is 70°, what is the highest it can reach? ​

Answers

Answer:

78 degrees

Step-by-step explanation:

It’s already above the grown by 8 feet 100 feet in the air but can only go 70

12 one half times one nine

Answers

Answer:

[tex]1\frac{7}{18}[/tex]  or one seven eighteenths

Step-by-step explanation:

we know that

12 one half times one nine is the same that multiply 12 one half by one nine

so

[tex](12\frac{1}{2})(\frac{1}{9})[/tex]

Convert mixed number to an improper fraction

[tex]12\frac{1}{2}=12+\frac{1}{2}=\frac{12*2+1}{2}=\frac{25}{2}[/tex]

substitute

[tex](\frac{25}{2})(\frac{1}{9})=\frac{25}{18}[/tex]

Convert to mixed number

[tex]\frac{25}{18}=\frac{18}{18}+\frac{7}{18}=1\frac{7}{18}[/tex]

therefore

12 one half times one nine is one seven eighteenths

8 1/5 + (4 2/5 + 3 3/10

Answers

Answer:

15 and 9/10 or 15.9

Step-by-step explanation:

4_2/5 + 3_3/10 = 4_4/10 + 3_3/10 = 7_7/10

8_1/5 = 8_2/10

8_2/10 + 7_7/10 = 15 9/10

or 15.9

Answer:15 and 9 10ths

Step-by-step explanation:

Stephanie works as a waitress and earns $4.50 an hour. Stephanie's last paycheck was $150. She earns $60 in tips in addition to her hourly pay. Write an equation the represents this situation. How many hours did Stephanie work? Paragraph Please!!!!!!!!!!!

Answers

Stephanie worked for 33 hours 20 minutes.

Explanation:

Step 1; Stephanie works and earns $4.50 an hour. Her last paycheck was for $150. So to find the number of hours she has worked we divide the total money earned by the money she earns every hour.

Total hours worked = Total money earned / Money earned for an hour

                                  = $150 / $4.50 = 33.33 hours.

Step 2; We need to convert the 33.33 hours into hours and minutes.

We multiply the 0.33 hours with 60 to convert it into minutes. 0.33 × 60 = 20 minutes. So Stephanie worked for 33 hours and 20 minutes to get her last paycheck.

Answer:

20 hours

Step-by-step explanation:

She receives $60 regardless of the number of hours she works for. Per hour, she earns $4.50. In t hours, she earns:

60 + 4.50t

For some t, the total is $150

150 = 60 + 4.50t

90 = 4.50t

t = 20

[x^(-2)]^2 how do you simplify

Answers

Answer:

[tex](x^2)^2=x^4[/tex]

Step-by-step explanation:

Because of the power of a power property states that [tex]((x^n)^m)=x^{n\times{m}}[/tex], where n and m are real numbers, then, the expression you have just posted can be simplified by applying this property to [tex](x^2)^2=x^{2\times2}=x^4[/tex].

tina is a waitress that makes $10.40, but an average 8 hour shift for her brings in an additional $85 in tips. how much does tina make per hour as a waitress

Answers

Answer:

Tina makes per hours [tex]=\$11.925[/tex]

Step-by-step explanation:

Tina makes [tex]8[/tex] hours [tex]=\$10.40[/tex]

and additional tips [tex]=\$85[/tex]

total amount makes for [tex]8[/tex] hours [tex]= \$10.40+\$85[/tex]

total amount makes for [tex]8[/tex] hours [tex]=\$95.40[/tex]

total amount makes for [tex]1[/tex] hours [tex]=\frac{total\ amount}{total\ time}\\\\=\frac{\$95.40}{8}\\\\=\$11.925[/tex]

                                                    

What to decimals do you add to get 54.57

Answers

Answer:

[tex]Any\ two\ equations\ x,\ 54.57-x\\\\For\ example\ 23.37+31.20=54.57[/tex]

Step-by-step explanation:

[tex]Let\ first\ decimal=x\\\\Second\ decimal=y\\\\x+y=54.57\\\\y=54.57-x\\\\so\ any\ two\ decimal\ x\ and\ 54.57-x\ will\ give\ 54.57\\\\If\ we\ take\ first\ decimal(x)=23.37\\\\second\ decimal=54.57-23.37\\\\second\ decimal=31.20\\\\\Rightarrow 23.37+31.20=54.57[/tex]

what's the answer for 13x-37+2x+13​

Answers

Answer:

11x+50

Step-by-step explanation:

Answer:

15x - 24

Step-by-step explanation:

what is the slope of y=-5x-1

Answers

Answer:

5

Step-by-step explanation:

~Hope this helps!

Krystal~~

Find the value for the following determinant.

2
10
-2

Answers

Answer:

10

Step-by-step explanation:

1*4 -(3*(-2))=4-(-6)=4+6=10

Archimedes went to sleep beside a big rock. He wanted to get up at 777 AM, but the alarm clock was yet to be invented! He decided to sleep at the spot where the rock's shadow should end when it's 777 AM so as to be awakened by the direct sunlight.
Archimedes knew that at 777 AM, the sunlight reaches the ground at an angle of 31^\circ31

31, degrees. The rock beside which he slept was 555 meters tall.
How far from the rock did Archimedes go to sleep?

Answers

Final answer:

By using the tangent function tan(31°) = opposite/adjacent, and knowing the rock's height of 555 meters, we can find the distance from the rock that Archimedes should sleep to wake up with direct sunlight. The distance is calculated as the height of the rock divided by the tangent of the angle of the sun, which will give the desired result.

Explanation:

To find out how far from the rock Archimedes went to sleep, we can use the concept of trigonometry. Specifically, we will use the tangent function, which relates the angle of the sun to the height of the rock and the distance of the shadow on the ground.

Given that the sunshine angle is 31 degrees and the rock is 555 meters tall, we can set up our equation using the tangent function: tan(31°) = opposite/adjacent, where the opposite side is the height of the rock, and the adjacent side is the distance from the rock where Archimedes slept.

The equation would look like this:

tan(31°) = 555 / distance

To solve for the distance, we rearrange the equation:

distance = 555 / tan(31°)

By calculating this, we would get the distance where Archimedes should sleep to be woken by the direct sunlight.

Dave works 5 hours at double time. He earns $98.00. Find his normal hourly rate?

Answers

Answer:

You just divide the numbers to get the hourly pay.

98÷5÷2

$9.80/hr

$9.80 would be the normal hourly rate.

- What is the range of the following set of points: {(3, 4), (7, - 2), (11, – 8)}?
A {3, 7, 11}
B {-8, - 2, 3, 4, 7, 11}
c {-8, -2, 4}

Answers

Answer:

B) {-8,-2,3,4,7,11}

Step-by-step explanation:

range is y

Final answer:

The range of the set of points {(3, 4), (7, -2), (11, – 8)} is the set of their y-values, which are -8, -2, and 4. So the range is {-8, -2, 4}.

Explanation:

The range of a set of points in mathematics refers to the difference between the highest and lowest y-values (also known as the vertical coordinate) in the set. Looking at the provided set of points {(3, 4), (7, -2), (11, – 8)}, we identify the y-values as 4, -2, and -8. To find the range, we look for the highest and lowest y-values. The highest y-value among these points is 4, and the lowest is -8.

The range consists of all the y-values which the function or set of points may take. Consequently, within this set of points, the range encompasses all values from -8 up to 4. Therefore, the correct answer listing those y-values is Option C: {-8, -2, 4}

WILL MARK BRAINLIEST!!!
What is the value of k?

A. −5
B. −3
C. 3
D. 5

Answers

Answer:

B. -3.

Step-by-step explanation:

If we take a look at the point (0, 1) in f(x), and compare it to the point (5, -2) in g(x), we can see that the point is simply moved to the right (translated horizontally) and moved down (translated vertically). Since k represents the vertical translation, the value must be -3.

1 -> -2

k = -3.

Answer:

B. -3

Step-by-step explanation:

Because I did the unit test

What is the sum of 6 and g then g is added to 6

Answers

Answer:

12 + 2g ?

Step-by-step explanation:

6 + 6 = 12. g + g = 2g. So together you get 12 + 2g. I am not 100% sure.

For this I got 12+2g
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