A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?

Answers

Answer 1
x is the seats in the small van.

y is the seats in the large van = (x + 6). Since the large has 6 more seats.

Since the 2 vans can transport 57 people.

Small van makes 2 trips = 2x.

Large van makes one trip = (x + 6).

2x + (x +6) = 57

2x + x + 6 = 57

3x + 6 = 57

3x = 57 -6

3x = 51

x = 51/3

x = 17.

The larger van has (x + 6) = (17 + 6) = 23.

The larger van has 23 seats.
Answer 2

Answer:

The larger van has 23 seats

Step-by-step explanation:

Create a system of Equations:

1. Define variables.

> let x=small van and y=larger van

2. create 2 equations based on the information given.

> y = 6 + x

> 2x + y = 57

3. Use any method to solve

Substitution: 2x + (6 + x) = 57. x=17

                      now plug x in to the original equation to solve for y (the larger van)

                      y = 6 + 17 and y = 23

Elimination: 2y = 12 + 2x

                     y = 57 - 2x

         3y = 69  and y = 23


Related Questions

could someone help me with this ASAP?

Answers

Answer:

just draw a circle that connects all of the 10's on the graph.

a circle is NOT a function

Step-by-step explanation:

A stereo was originally priced at 75.50. it was marked down 24%. a store had a big sale of 60% off the lowest marked price. what was the final price of the stereo

Answers

Answer:

We can calculate the price with both  sales by multiplying the 75.5 units of money by both percentages (to multiply them, we divide them by 100 first):

75.5 * 0.24 * 0.6 [tex]\approx.[/tex] 10.8

PLEASE HELP ITS EASY BUT LIKE yh

Answers

Answer:

40  I told u

Step-by-step explanation:

right angles are 90 degrees

Answer :

x +25 +25 =90 degrees

x +50 =90 degrees

x = 90 -50

x = 40 degrees

Solve for X.

-8(1 - 4x) = -104

Please show work

Answers

Answer:

-3

Step-by-step explanation:

-8(1-4x)=-104

1-4x=-104/-8

1-4x=13

4x=1-13

4x=-12

x=-12/4

x=-3

find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​

Answers

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

[tex]\displaystyle S=\frac{k}{2}(a+x_k)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term.

Since we want to find the sum of the first 20 terms, k = 20.

Our initial term a is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term, d is the common difference, and n is the nth term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

[tex]x_n=4-8(n-1)[/tex]

Then the last or 20th term is:

[tex]x_{20}=4-8(20-1)=4-8(19)=-148[/tex]

Therefore, the sum of the first 20 terms are:

[tex]\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}[/tex]

Answer:

- 1440

Step-by-step explanation:

First-term is 4 and we subtract 8 to get the next term so the general term is

a(n) = 4 - 8(n -1)

The sum of the sequence is the average of the first and last terms multiplied by the number of terms: (a1 + an)/2 * n

We need the 20th term: a20 = 4 - 8(20–1) = 12 - 160 = - 148

The sum is (4 - 148)/2 * 20 = 10*(-144) = - 1440

Identify the parent function.

Answers

linear lines, i’m pretty sure

Answer:

Reciprocal

Step-by-step explanation:

Which algebic expression is “ ten less than a number divided by twelve “

Answers

You can use any variable for “number”. I’m gonna use “x”.

The answer is: (x-10)/12

what is the slope of the graph?

Answers

Answer:

The slope is 1.5

Step-by-step explanation:

To get the slope of the graph, we proceed to select any two points lying on the given line, and applying the slope formula

The two selected points are as follows;

(x1,y1) = (-4,0)

(x2,y2) = (-2,3)

m = (y2-y1)/(x2-x1)

m = (3-0)/(-2-(-4)

m = 3/2 = 1.5

The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot live together. What is the minimum number of different tanks needed to safely house all the fish?

Answers

Answer:

The minimum number of different tanks needed to safely house all the fish is:

3 tanks.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

Tank 1: A Tank 2: F Tank 3: G

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

Tank 1: A, B, D. Tank 2: F, E, H. Tank 3: G, C.

And the owner of the pet store must buy three different tanks to display these tropical fish.

Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0

Answers

Answer:

x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )

Step-by-step explanation:

I have attached the explanation on the image above, hopefully this help

Consider the equation: x^2 - 4x + 4 = 2x

Rewrite the equation by completing the square:
Your equation should look like (x+a)^2 = b or (x-c)^2 = d
______

What are the solutions to the equation? (1 right answer!)

Answers

Answer:

(x+3)^2=5

Step-by-step explanation:

x^2-4x+4=2x

x^2-6x+4=0

x^2-6x+9-5=0

(x-3)^2-5=0

(x-3)^2=5

Round your answer to one decimal places where necessary. Please give steps.

4/3 x 3.14 x 2.25 = ?

Answers

Answer:

4/3 x 3.14 x 2.25=9.42

Hope This Helps!!!

Answer:

9.4

Step-by-step explanation:

[tex] \sf \frac{ \bold{4 }}{ 3 } × 3.14 × \underline{2.25}[/tex]

Step 1 :- Multiply decimal by the number. So, that the results equals whole number.

[tex] \sf \frac{ \underline{ 4 }}{ 3 } \\ [/tex] × 2.25 × 3.14 .

[tex] \sf \frac{9}{ 3 } \\ [/tex] × 3.14

Step 2 :- Divide the fraction.

= 3 × 3.14.

Step 3 :- Multiply both .

= 9.42.

Round to one decimal place :- 9.4

Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must have the same number of men and women

Answers

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

[tex]The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways[/tex]

Therefore, the number of ways is 26,400 ways

What is the value of tan 0 in the unit circle below?

Answers

Answer:

1 / sqrt(3)

Step-by-step explanation:

tan(o) = sin(o) / cos(o)

sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.

cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.

so,

tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)

If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water

Answers

Answer:

50 cu ft

Step-by-step explanation:

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

What is Boyle's law?

Boyle's Law states that If the temperature is constant, the volume of a  gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Learn more about Boyles law.

https://brainly.com/question/1437490

#SPJ2

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

Answers

Answer:

1866.10604

Step-by-step explanation:

V=3.14(r sqaured)1/3h

Which of the following is an even function?

Answers

The one you put is actually correct

What is the slope of the line represented by the equation y=
iy=-x+ .
0

○ 4
0를
O
0를

Answers

Answer:

-1/2

Step-by-step explanation:

Equation is put in slope intercept form:

y = mx + b

Where m = slope

-1/2 takes the place of m meaning that the slope is -1/2

Using linear function concepts, it is found that the slope of the line is of:

[tex]-\frac{1}{2}[/tex]

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation is:

[tex]y = -\frac{1}{2}x + \frac{1}[4}[/tex]

Thus the slope is of [tex]m = -\frac{1}{2}[/tex].

More can be learned about linear function concepts at https://brainly.com/question/24808124

if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll

Answers

Answer

(1/6)⁴ = 1/1296

Step-by-step explanation:

robabilty of getting a 5 in a throw of dice is  1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is  (1/6)4

At a certain store, a CD costs $12. If the cost of CDs were graphed as the output, compared to the number of
CDs purchased as input, which of the following would not be true of the graph?
A. The set of points would all lie on the same line.
B. The set of points would include the origin.
C. The set of points would rise from left to right.
D. The set of points would not graph a function.
Please select the best answer from the choices provided
A
B
C
D

Answers

Answer: The best and most correct answer among the choices provided by the question is A. The set of points would all lie on the same line.    

     

can someone please help me with my math assignment??? really need the answer today. And also please don't answer this if you didn't know or for just points​

Answers

Answer:

it cost 80 dollars

Step-by-step explanation:

cost per bag for X brand =25 $

cost per bag for y brand = 20$

minimize Z=(25X +20 y)

further formulate the problem

the given constraints are

2x + y equal 12

2x + 9y equal 36

2x + 3y equal 24

well on the graph given plot of the constraints

the corner points are

(0;0)

(6;0)

(0;4)

(9;2.5)

minimum z occurs at (0:4)

value of Z(minimum cost)=80$

find the value of x pls show work

Answers

Answer:

x = 55°

Step-by-step explanation:

120° = x° + 65° (alternate interior angles are congruent)

Subtract 65 from each side

120° - 65° = x° + 65° - 65°

55° = x

Therefore,

x = 55°

Find the x and y intercept for the equation: − = 4

Answers

Answer:

x = (4,0)

y = (0,-4)

Step-by-step explanation:

x - y = 4

(0) - y = 4

-(-y) = -(4)

y = -4

x - (0) = 4

x = 4

x = (4,0)

y = (0,-4)

Answer:

x = 4 . 0

y = 0 . -4)

Step-by-step explanation:

SOMEONE HELP ASAP PLEASEEEEE!!!!!

Answers

Answer:

the answer is 35% probability

your welcome

PLEASE HELP!10 POINTS
find the maximum value of c=x+3y subject to the following constraints:
9x+2y≥35
x+3y≥14
x≥0
y≥0

Answers

Hello,

14

just see my picture

What is the solution of 5/2x-7=3/4x+14

Answers

Answer:

D. x = 12

Step-by-step explanation:

if you plug 12 in

the solutoon says 23 = 23 which is correct

Answer:D 12

Step-by-step explanation:

I took the test

3 + 5 . (-3)=
5 . ( - 6 + 2 ) - 4=
- 5 + 8 . 2 + 1=
4/6 + 13/6 - 5/6=
2 . 8 - 5 . (3 - 4)=
7/3 . 5/2=

Answers

Step-by-step explanation:

PEMDAS rule

3 -15 = -12

-20 - 4 = -24

-5 + 16 + 1 = 12

= 12/6 which = 2

15 + 5 = 20

35/6 = 5 5/6

Can someone help me with this math homework please!

Answers

Answer:i dont know

Step-by-step explanation:

PLEASE HELP!!!!!!!!!





A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t-3)^2


a. In the context, what is a suitable domain for the graph of this system?


b. At what time will both cars have driven the same distance?


c. How far will they have driven at this time?

Answers

Answer:

15.66

Step-by-step explanation:

PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS

Answers

Answer:

$29.69

Step-by-step explanation:

23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)

25.872 * 0.1475 = $3.81612  is the sales tax.

Total is 25.872 + 3.81612  ~ $29.69

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