1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
I am Lyosha [343]
3 years ago
15

A company uses two vans to transport

Mathematics
2 answers:
gayaneshka [121]3 years ago
8 0

Answer:

The larger van has 23 seats

Step-by-step explanation:

<u>Create a system of Equations:</u>

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 <u>y = 23</u>

Elimination: 2y = 12 + 2x

                     y = 57 - 2x

         3y = 69  and <u>y = 23</u>

Ne4ueva [31]3 years ago
3 0
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.
You might be interested in
1) Lance can paint the room in 5 hours, while Kim can paint the same room in 4 hours.
gayaneshka [121]
1. In an hour, Lance can do 1/5 of the job and Kim can do 1/4 of the same job. Letting x be the number of hours it will take them to do the job together.
                                     (1/5 + 1/4) x = 1
The value of x is 20/9 or approximately 2.22 hours. 

2. Same as the concept above, the equation that would best describe the situation is,
                                   (1/x + 1/2x)(5) = 1
The value of x is 7.5 hours. Since this value is the number of hours Dominique can do the job alone, Houston's time will be 15 hours. 
8 0
3 years ago
Read 2 more answers
What ordered pair represents the y-intercept of the graph of x+y=9?
s344n2d4d5 [400]
We can rearrange

x + y = 9

in to

y = 9 - x


This means the value of y is EQUAL to 9 minus the value of x.


[A] fits this description, because y (9) is equal to 9 minus x (0).

[B] does too, because y (0) is equal to 9 minus x (9).
4 0
3 years ago
What is 16/10 as a mixed number simplified if possible ??
ozzi
16/10 as a mixed number would be {1 6/10} or {1 3/5}. First, you figure out how many times the denominator fits into the numerator. So you see how many times ten fits into 16 (the answer would be 1) and that's your whole number. Then, you subtract the denominator from the numerator (16-10) and put our answer (5) as the numerator in the fraction next to the 1 you got in the beginning. Then, all you have to do is simplify.

EXAMPLE:

18/10
how many times does 10 go into 18? once.
1 8/10
1 4/5
6 0
4 years ago
Read 2 more answers
PLEASEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP
liubo4ka [24]
<h2><u><em>opens down with a maximum</em></u></h2><h2><u><em>THANK YOU !!!! </em></u></h2><h2><u><em>AND HAVE A NICE DAY !!!</em></u></h2>
4 0
3 years ago
To mix mortar to lay bricks,you need 2.5Kg of cement,4kg of sand and 3 liters of water.Sand is sold in 10kg bags.How much cement
dedylja [7]

Answer:

6.25 kg cement, 7.5 L water

Step-by-step explanation:

2.5 kg cement / 4 kg sand = x kg cement / 10 kg sand

x = 6.25

3 L water / 4 kg sand = y L water / 10 kg sand

y = 7.5

6 0
3 years ago
Other questions:
  • Simon and Greg shared pencils in the ratio 7:5. If Simon gives away 30 pencils and Greg gets 30 more pencils, they will have the
    11·1 answer
  • Help me smart people !
    15·1 answer
  • 5% commission in sales. Receives a base salary of $375. What would the amount of sales be for the week to make at least $600?
    14·1 answer
  • Find the line y=a+bx which best approximates the data points
    8·1 answer
  • Need help with math pls help.
    6·1 answer
  • Identify the slope and y- intercept y=2x + 2
    11·2 answers
  • Convert 40.64 centimeters to inches.<br><br> 1 Inch = 2.54 centimeters <br><br><br><br>PLS HELP!!!​
    14·1 answer
  • Be an angel and halp mi pls
    12·2 answers
  • If the length and width of rectangle A are each k times the length and width of rectangle B, which statement is true?
    6·1 answer
  • If 3(x -1) then 3x = ?? ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!