One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.

Answers

Answer 1

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]

Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:

[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]

Verify that the solution pair [tex](4, 6)[/tex] works:

[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.


Related Questions

1 When y= 35, x = 22. If the value of y
varies directly with x, what is the value of y
when the value of x is 3 ?
A 113 C 227
B 26 13 D 45 1

Answers

Answer:

Step-by-step explanation:

22/35

For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?

Answers

The standard deviation is 4.05

Answer: A

Step-by-step explanation:

4.1

CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1

Answers

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

help pls I really need it

Answers

The answer is 2in because 6in+6in=12in so that means 1in+1in=2in :)

Work out volume of this sphere leave your answer in terms of pi

Answers

Answer:

36pi

Step-by-step explanation:

Volume formula = 4/3 × pi × r^3

Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).

Answers

The answer to this question is 17

Can someone pls help me with this??

Answers

0.25k + 1.5 - k - 3.5

0.25k - k + 1.5 - 3.5

= -0.75k - 2

Answer:

[tex] - 0.75k + - 2[/tex]

Step-by-step explanation:

[tex]0.25 k- 1k[/tex]

[tex]1.5 - 3.5[/tex]

first you will combined 0.25 K - k and you will get -0.75

then combine 1.5-3.5 and get -2

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

I think yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

I actually hope this is right and that it helped!

Answer:

yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.

Answers

use the calculator 2949472

The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.

Answers

Answer:

try 1/4

Step-by-step explanation:

TWENTY POINTS!!! PLEASE HELP!!!
Find Greatest Common Factor:

33x^5y^7-99x^6y^9-66x^5y^8

Answers

ANSWER: uhm I guess it’s nine and six but I guess technically it’s ^ hope this helped

What is the equation for proportions? What does each letter represent?

Answers

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

If a 200-mile trip takes 4 hours to com- plete, the average speed is

A. 30 miles per hour.

B. 40 miles per hour.

C. 50 miles per hour.

D. 60 miles per hour.​

Answers

Answer:

Step-by-step explanation:

if you need 4 h to complete a trip of 200 miles

200/4=50 miles/hour

$200 at 6% for 10 years find the interest and find the balance of the account

Answers

Answer:

358

Stefffffffffffffffffffffffffffp-by-step explanation:

Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?

Answers

One solution because n=-5
There’s only one solution for this problem
3n-12=5n-2
+2. +2
3n-10=5n
-3n. -3n
-10=2n
2. 2
-5 = n

i giveeeeeeeeeeeeeeee brainlilstttt

Answers

Answer:

(x, y ) → (x + 10, y + 10 )

Step-by-step explanation:

Consider the coordinates of C and C'

C(- 7, - 1 ) and C'(3, 9 )

The translation in the x- direction is

- 7 → 3 = 3 - (- 7) = 3 + 7 = 10

The translation in the y- direction is

- 1 → 9 = 9 - (- 1) = 9 + 1 = 10

Then translation rule is

(x, y ) → (x + 10, y + 10 )

Expand.
(x^2)(x^2-6)

Answers

Answer:

This can be expanded to x⁴ - 6x²

Step-by-step explanation:

[tex]x^2(x^2 - 6)\\= x^4 - 6x^2[/tex]

Answer:

If by expanding you mean solving, you answer is x^4−6x²

Step-by-step explanation:

x²(x²-6)

(x²)(x²-6)

(x²)(x²)+(x²)(-6)

x^4-6x²

10 x 1/10 brainliest if answer not 1

Answers

Answer:

10/10

Step-by-step explanation:

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

The answer is your teacher different

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no

Answers

Answer:the answer is D Any amount of time over an hour and a half would cost $10

Step-by-step explanation:

Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075

Answers

Answer:

D.) 0.075

Step-by-step explanation:

The Answer is D. (0.075)

What is the slope of this please help as quick as possible :)

Answers

Answer:

-.5 or -1/2

Step-by-step explanation:

rise over run

you rise 2 and run left 4

the slope is negative

Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
b.
How many laps did Lin run in 1 minute?

Please hurry

Answers

Answer:

1.2 minutes, hope this helps (owo)/

Step-by-step explanation:

They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.

Identify each point as a solution of the system or not a solution of the system.
7 6 5 3 2
23
4 5
6
7
-1
5
(0,4)
(-2,4)
(0,5)

Answers

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determine
the number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.

Answers

Answer:

10h=200

h=20

Step-by-step explanation:

10h=200

10h/10=200/10

h=20

Multiply the number of hours worked (h) by earnings per hour $10 to get

10h

This needs to be more than ( Greater than) 200

Now you have 10h > 200

Solve for h by dividing both sides by 10:

h >20

This means she needs to work more than 20 hours this week.

Solve the system by substitution.

3r + y = 5
5x – 4y = -3

The solution is?

Answers

Can’t solve, because you have only two equations and three variables.

Please also explain how you did it! Thank you

Answers

Answer:

66 degrees

Step-by-step explanation:

360 degrees in a circle

102 and 144 make up the circumference of LPN

LMN however is still to be determined... which is 360-(102+144) = 114

Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.

To find angle LPN (180-114) = 66

Please help!!! Will give brainliest!!!

Answers

Answer:

a = 2

b = 1

c = -6

Step-by-step explanation:

Distribute and then combine like-terms.

5 + 11y + 9 what is the answer

Answers

Answer: 11y+14

Step-by-step explanation:

add 5 plus 9 (14) then add that with 11y. you get 25. then add the y. 25 y

19 ≥ 3f+1 ≥5 pls help

Answers

Answer:

Hi...u should do like this

18>3f>4

6>f>4/3

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