One Friday night, two large groups of people called Centerville Taxi Service. The first group
requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?

Answers

Answer 1

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Step-by-step explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

__________

3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

9 + 12 = 21

Hope that helps


Related Questions

Answer please please

Answers

Answer:

t>-2

Step-by-step explanation:

So Act like this is an equation and add -3 to both sides:

t>-2

Thats your answer!

The correct choice should be #1

A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!

Answers

They should receive $1500 !

I really help with this ill mark u brainliest pls

Answers

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

what is 12/6 simplified

Answers

Answer:

2

Step-by-step explanation:

Answer:

2/1......................

It says write in scientific notation but isn’t it already in scientific notation ???

Answers

Oh..it sure yes hm..that’s odd
it might mean to write it in standard form? if so then your answer would be 3.25*10^5

Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams

Answers

Answer:

3 kilograms

Step-by-step explanation:

one is for liquids and the others are too small i think

how do you solve this using the substitution method?

Answers

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

Guys I really need help on this please

Answers

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

Kayla has bank account with $250. She goes to Dunkin Donuts and buys the same meal of $8.25 each day. How much money does she have in her account after going to Dunkin 5 days in a row?​

Answers

Answer: $208.75

Step-by-step explanation:

8.25x5= 41.25    250-41.25= 208.75

Answer:

$8.25 x 5 days = $41.25

$250 - $41.25 = $208.75

Kayla has $208.75 in her bank after going to Dunkin' Donuts five days a row.

Step-by-step explanation:

PLS mark as brainliest answer, please??

thanks

Libby needs to make 1/2 of her chili recipe for the school's chili contest. If Libby usually needs 1/2 cup of corn for her recipe, how much corn will she need for the chili contest

Answers

Answer:

She need [tex]\frac{1}{4}[/tex] cups of corn.

Step-by-step explanation:

Libby needs to make [tex]\frac{1}{2}[/tex] of her chilli recipe for the school's chilli contest. If Libby usually need [tex]\frac{1}{2}[/tex] cup of corn for her recipe.

She make half of her recipe

So, we can set up equation for unknown corn she need for the chilli contest as 'x' cups

[tex]\frac{1}{0.5} =\frac{0.5}{x}[/tex]

Cross multiply

x=0.25

To make it as a fraction, she need [tex]\frac{1}{4}[/tex] cups of corn.

Answer:

yep 1/4

Step-by-step explanation:

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC

Answers

The awnser is b j in think

The value of x from the figure is 4

Similar triangle

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

25/3x-2 =  20/2x

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

Write an equivalent expression for 8x - 5

Answers

Answer:

-5+8x

Step-by-step explanation:

There are 25 adults and 43 kids at the park. What is the ratio of kids to adults at the park?

Answers

Answer:

43 : 25

Step-by-step explanation:

ratios are quantitative relationship between 2 numbers.

adults = 25

kids = 43

ratio of kids to adults at the park should be shown as

(kids) : (adults)

*these numbers cannot be simplified.

plug the numbers in:

43 : 25

Given △ABC with coordinates A(1, 3), B(4, 5), and C(5, 2), what are the coordinates of △AʹBʹCʹ after the glide reflection described by T⟨−1, 1⟩° Ry-axis?

Answers

Answer:

A' = ( 0,4 )

B' = ( -3,6 )

C' = ( -4,3 )

Step-by-step explanation:

Transformation involves changing the coordinates of a shape.

The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and  [tex]C' = ( -4,3 )[/tex]

The coordinates of triangle ABC is given as:

[tex]A = (1,3)[/tex]

[tex]B = (4,5)[/tex]

[tex]C = (5,2)[/tex]

The glide reflection is given as: T⟨−1, 1⟩° Ry-axis

So, we start by translating the shape by (x - 1, y + 1).

The coordinate ABC becomes

[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]

[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]

[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]

Next, we reflect the coordinates across the y-axis.

The rule of this reflection is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A' = ( 0,4 )[/tex]

[tex]B' = ( -3,6 )[/tex]

[tex]C' = ( -4,3 )[/tex]

Read more about transformation at:

https://brainly.com/question/1616371

Find the value of x in the given right triangle

X= ?

Answers

What are the answer choices?

Answer:

7.5 is the answer to the question

Step-by-step explanation:

using tan

Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12​

Answers

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years

Answers

9514 1404 393

Answer:

  3479

Step-by-step explanation:

Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...

  11000 · 0.316289 ≈ 3479

I need help with 13&14 please ASAP!!!!!

Answers

Answer:

3/5 for 13

Step-by-step explanation:

add 2 to the numerator and the denominator

what is 3a + 3/6. if a = 1/4

Answers

Answer:

5/4

Step-by-step explanation:

Solve by plugging in the value to "a".

Solve:

3a + 3/6

3(1/4) + 3/6

Multiply the parenthesis.

3/4 + 3/6

Simplify 3/6

3/4 + 1/2

Find the common denominator, which is 4. Make the denominators the same.

3/4 + 2/4

Add the fractions.

5/4

PLEASE HELP ASAP WILL GIVE 75 POINTS AND BRAINLIEST TO FIRST ANSWER!!!!
Imagine you work at a cola processing plant doing data entry and produce counts. You are doing an empty can count and come up with 1,000 cans. However, the computer system says there are 10,000 cans. After visually confirming that there are only 1,000, you check to see who last entered the value in the computer and discover it is your boss Ms. Strictlend. After triple checking your count you realize Ms. Strictlend made a mistake.
Write an email to Ms. Strictlend. Address her as you would a professional and explain the problem including the mistake she most likely made. Use as many words as you need to communicate the information without being fired.

Answers

Answer:

Step-by-step explanation:

Dear Ms Striclend,

I don’t think you meant to, but you made a mistake putting in the value for the computer system. Can you please explain to me how you made the mistake?

Thanks!

my name

Please help me with this quadratic equation question! I always give out 5 stars, thanks and brainliest to people that help me with a good explanation.

Find the values of p and q given that 12x² - 13x - 7175 = (x-p) (qx + 287)

Answers

Answer:

[tex]p=25,\\q=12[/tex]

Step-by-step explanation:

In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].

Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:

[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].

Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:

[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].

can sb help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

127 feet

Step-by-step explanation:

I did this already and I got it correct

Answer:

Its either 90 or 100

Step-by-step explanation:

A man hits a golf ball (0.24 kg) which accelerates at a rate of 20 m/s2. What amount of force acted on the ball?

Answers

Answer: 4.8 Newton’s

Step-by-step explanation:

Force = mass x acceleration

Answer:

the 0.2 kg ball was hit with 4 Newtons of force, which caused it to accelerate 20 meters per second, per second.

so 4 newtons

Nikos paid $22,500 for a new car. Over the next 3 years the value of his dropped $3750. How much did the value of the car drop each year on average?

Answers

Answer:

about $1250 per year.

Make a graph that matches the rule y=2x – 3.

(Need help ASAP)

Answers

Answer:

Answer in image below :)

Step-by-step explanation:

Solve by elimination.
2x + 8y = 60
5x + 4y = –10

Answers

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

is it Min or Max
help me pls

Answers

Answer:

Max

Step-by-step explanation:

Since the vertex is on top and the graph is opening down, there is a max value at the top.

I need help, I am not familiar with this.

Answers

Answer:

the first did it correct

Step-by-step explanation:

Darla's family went on a vacation to Yellowstone Park. On day 1, they drove 14 the total distance, and on day 2 they drove an additional 15 the total distance. Which shows about how far the family has left to travel to Yellowstone Park?

Answers

Answer:

11/ 20

Step-by-step explanation:

Given that:

Fraction traveled on first day = 1/4

Fraction traveled on second day = 1/5

In fraction form, the total distance to be traveled is represented as 1

Total distance covered during the two days ;

(1/4 + 1/5)

L.C.M of 5 and 4 = 20

(5 + 4) / 20

= 9/20

Distance left to cover :

Total distance - total distance already covered

1 - 9/20

(20 - 9) / 20

11 / 20

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