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

Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?

A. 360 ounces

B. 180 ounces

C. 90 ounces

D. 190 ounces

Answers

(4x28)+64
112+64
176
Rounded to the nearest ten it would be 180

write this rate as a unit rate 1/7 1/14

Answers

Answer:

1/7in=1/14min

14/7in=min

2in=min

the rate is 2 inches per minute.

Step-by-step explanation:

Answer:

The answer is 2.

Step-by-step explanation:

First you have to change 1/7 divided by 1/14 like this: 1/7 times 14/1.

Second solve the equation, 1/7 x 14/1 = 14/7 = 2.

Thank you for reading this, I hope this was helpful.

help im a transfer i dont understand this

Answers

Answer:

You can graph them on desmos and see which is a linear (literally looks like a line)

Step-by-step explanation:

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:

Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21

Answers

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

If interest is compounded semi-annually, which expression
represents the account balance in t years?

Answers

Answer:

The equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Step-by-step explanation:

Given the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

here

A represents Accrued Amount (principal + interest)

P represents Principal Amount

I represent Interest Amount

r represents the Annual interest rate

t represents Time Involved in years

n represents the number of compounding periods per unit t

As we are given that the interest is compounded semi-annually

i.e. n = 2

so substituting n = 2 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]       ∵ n = 2

Thus, the equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

7. This year, the water in a reservoir dropped by 60%. For the original water level to be restored next year, by what percent must the remaining reserves increase?

Answers

Answer:

Given: Water in a reservoir dropped by 60%

Step-by-step explanation:

let the total water level of reservoir be 100.

then, in first year

the water reservoir dropped = 60% of 100

                                               =[tex]\frac{60}{100}[/tex] * 100

                                               = 60

therefore, total water level needed to be restored till next year= 100

remaining water level to restore till next year= 100-60

                                                                           =40

                                                       percentage= [tex]\frac{40}{100}[/tex] * 100

                                                                         =40%

                     

Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?

Answers

Answer:

60 stores

Step-by-step explanation:

Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping

From the question, she shopped in 12 different stores

Each of her six brothers shopped in 8 different stores

That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores

The total number of stores is thus, 48 + 12 = 60 stores

Help please ............

Answers

Answer: 0.45

Step-by-step explanation:

(no 2 and 4) 15%+30% = 45%

45/100 = 0.45

PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.

Answers

Answer:

y=−x+2y=4x+7   NO

y=−x+2               YES

y=4x+7            

Multiply the first equation by 4, obtaining:              4y = -4x + 8

Add the 2nd equation to this result:                          y = 4x  + 7

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

                                                                                5y = 15, and y = 3

Then, using the first equation, determine x:

y = 3 = -x + 2

      1 = -x, so x = -1

The solution is (-1, 3)

Answer: (-1; 3)

Step-by-step explanation:

y = -x + 2

y = 4x + 7

4x + 7 = -x + 2

4x + 7 + x - 7 = - x + 2 + x - 7

5x = - 5

x = - 1

y = 4(-1) + 7

y = 3

Intersection point: (-1; 3)

See the solution on the photo

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST

Answers

Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage

If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?

Answers

Answer:

[tex](g\circ f)(-1)=36[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]

And we want to find:

[tex](g\circ f)(-1)[/tex]

This is equivalent to:

[tex]=g(f(-1))[/tex]

So, evaluating f(-1) first, we acquire:

[tex]f(-1)=-(-1)+5=6[/tex]

Then by substitution:

[tex]=g(6)[/tex]

So:

[tex]=(6)^2=36[/tex]

Therefore:

[tex](g\circ f)(-1)=36[/tex]

Your answer is indeed correct.

Answer:

please refer to the above attachment.

36 is the right answer.

A rectangle made of squares is shown . The length of the side of each square is 1 cm create an equation to find the area of the rectangle. Move numbers an symbols to the lines

Answers

Answer:

See Explanation

Step-by-step explanation:

The rectangle is not shown. To solve this question, I'll make use of the attachment.

Apply the same steps, and you'll get the answer to your question.

From the attachment, we have:

[tex]Rows = 3[/tex]

[tex]Columns = 4[/tex]

Since the length of each square is 1 cm, then

[tex]Row = 3cm[/tex]

[tex]Column = 4cm[/tex]

So, the area is:

[tex]Area = Row * Column[/tex]

[tex]Area = 3cm * 4cm[/tex]

[tex]Area = 12cm^2[/tex]

Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.

Answers

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.

Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?

Two-sevenths
Two-fifths

Answers

Answer:

Two-sevenths

Step-by-step explanation:

It's the smallest amount just like the middle number

Answer:

2/7

Step-by-step explanation:

The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4

Answers

Answer:

c

Step-by-step explanation:

please answer i will give brainliest and extra points!

Answers

Answer:

Esther's is more expensive

Step-by-step explanation:

2 dollars per soda

Brainly plss

Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this change. What is another way to write this expression?

Answers

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

multiply choice question! which one?

Answers

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

PLEASE HELPP
in the table, y is a linear function of x. what is the value of y when x=0

Answers

Answer:

3

Step-by-step explanation:

by the way i love your profile picture

What is the product?
[4 2] x [-2 5 7 -1]

Answers

Answer:

The answer is C

Step-by-step explanation:

math is hard im not sure for this

Answers

Answer:

c. 39 miles per hour

Step-by-step explanation:

If you look at the graph, each hour has a marking of an interval of 39, starting at (1,39).

(hope this helps-and math gets better)

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

Answers

Answer:

129 IS THE ANSWER

Step-by-step explanation:

Can anybody answer this question??

Answers

The answer is A

as the x+ 4 is when we replace x with 0

x=0

so

y=0+4

=4

So the line of y must intersect at (0,4) coordinate

which is given as in A and should be a positive slope

Shelley delivered 10 newspapers after 20 minutes and 30 newspapers after 60 minutes what is rate of change that represents how many paper shelley's delivering every minute​

Answers

Answer:

1 newspaper per 2 minutes

Step-by-step explanation:

If you look at 10 newspapers per 20 minutes, you can divide newspapers by minutes which gives you 10/20 = 1 newspaper per 2 minutes. To check the answer, you can do 2*30=60 since 2 minutes per each newspaper would equal 60 minutes.  

Hope this helps!

Anyone know the answer?!

Answers

Using elimination method: x = -79/4 , y = -45/8

50 points and will mark brainlist


READ ABOVE

true

or


False

or


Not enough information

Answers

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

I will give Brainlesst please help and 100 point :) Question 2 (5 points)
(04.02 LC)
Which graph shows a proportional relationship between the number of hours of
renting a bike and the total amount spent to rent the bike? (5 points)

Answers

Answer:

Neither of the graphs show a proportional relationship.

Step-by-step explanation:

A proportional relationship is also known as a linear relationship, where when the points are plotted on the graph, the points increase or decrease at a constant rate. This will appear as a straight line with NO change.

At basketball camp , kylie made 18% of her free throws. Based on this information which is the best prediction of the number of free throws she will make out of 50 attempts

Answers

Answer:

9 free throws. that is the answer that I got

Can anybody help please I’ll mark brainlist!

Answers

182.5 times 0.12 is 2.19, so the answer is $2.19.

Plz I beg u help metttttttttttt

Answers

Did you want to go to the Internet where is it and click the first link you see and boom

Answer:

2. 260

3. 16

4. 71

5. 47

6. 137

8. 23

Step-by-step explanation:

Other Questions
Rounded to three decimal places, what is the value of r for this data set? Variable x 8 15 3 7 2 14 Variable y 15 21 6 12 3 20Choices:A. 0.950B. 0.938C. 0.880D. 0.981 Jostens Co. had 200,000 shares of common stock, 20,000 shares of convertible preferred stock, and $1,000,000 of 10% bonds outstanding during 2024. The preferred stock is convertible into 20,000 shares of common stock. During 2024, Jostens paid dividends of $1.20 per share on its common stock and $4.00 per share on its preferred stock. Each $1,000 bond is convertible into 45 shares of common stock. The net income for the year ended December 31, 2024 was $800,000. Assume the income tax rate was 30%. Diluted earnings per share for 2024 (rounded to the nearest penny) are: Which two ratios form a proprtion? A) 6/9 and 3/1B) 6/9 and 1/3 C) 6/9 and 2/3D) G/9 and 3/2 PLEASEEEEEEE HELLLPPPPPPPPP EMERGENT Qu clase de persona es Jonathan? l es chistoso. l es estudioso. l es sabio. l es callado. Although invisible to others in act v scene 1 lady Macbeth tries to wash away? 4x - x, for x=2 WHATS THE ANSWER The distribution of the height of humans is a normal distribution. There are some very y'all people, and some very short people, but most people are in the middle. What is most likely true about this trait? Casey's drill team squad was responsible for painting props for a performance at a band contest. The squad painted 18 props in 90 minutes. If they continued painting at this rate, how many props would they paint in 3 hours? what does the phrase Anyone who has never made a mistake has never tried anything new. mean ( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope If interest is compounded semi-annually, which expression represents the account balance in t yeats? The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common 2(38y)= i need help someone Why are allall other lawssubondineteto the constition The position of county commissioner was added in what year? 1865 1777 1733 1868 Other types of birds also form pellets. What would you expect to find in the pellet of a seagull? Explain your reasoning. Use the distributive property to find the equivalent expression.7(7 + 6b) = PLS HELP ill give brainliest im really stuck and its DUE SOON Which theory of motivation is most likely to suggest that a youger woman be attracted to an older man because of his greater ability to provide for her